19 de Mayo de 2017 Señores Superintendencia del Mercado de Valores - SMV Av. Santa Cruz 315 Miraflores.Estimados Señores:
Por medio de la presente comunicación les adjuntamos el Informe de Valorización de Compañía Minera Milpo S.A.A., elaborado en el marco del Proceso de Determinación del PRECIO MÍNIMO A SER TOMADO EN CUENTA POR COMPAÑÍA MINERA MILPO S.A.A. EN LA OFERTA PÚBLICA DE COMPRA SOBRE LAS ACCIONES COMUNES REPRESENTATIVAS DE CAPITAL SOCIAL Y LAS ACCIONES DE INVERSION EMITIDAS POR COMPAÑÍA MINERA MILPO S.A.A. Sin otro particular, me despido.
Atentamente,
Guido Vingerhoets SUMMA Asesores Financieros S.A.
Valorización de Compañía Minera Milpo S.A.A y Determinación del Precio Mínimo a ser tomado en cuenta por Compañía Minera Milpo S.A.A en la Oferta Pública de Compra sobre las acciones comunes representativas del capital social y las acciones de inversión emitidas por Compañía Minera Milpo S.A.A Lima, 19 de Mayo del 2017
Tabla de Contenido 1. 2. 3. 4. 5. 6. 7.
8. 9. 10. 11. 12. 13.
2
Declaración de Responsabilidad ……………………………….. 4 Análisis del Contexto de la Operación…………………………...6 Análisis del Sector………………………………………………….9 Descripción de la Empresa ………………………………………24 Situación Económico – Financiera………………………………42 Situación Legal: Contingencias………………………………….67 Metodologías de Valorización……………………………………69 7.1. Metodología de Valor Contable…………………………....72 7.2. Metodología de Valor de Liquidación……………………..74 7.3. Metodología de Precio Promedio Ponderado……………77 7.4. Metodología de Ofertas Publicas Anteriores……………..79 7.5. Metodología de Sociedad Como Negocio en Marcha.......81 Tasa de Descuento………………………………………………131 Resultados y Análisis de Sensibilidad…………………………134 Factores de Riesgo………………………………………………145 Conclusiones y Recomendaciones…………………………….148 Anexos Papeles de Trabajo……………………………………154 Otros Anexos……………………………………………………..181
Declaración de Responsabilidad
Declaración de Responsabilidad Los firmantes declaran haber realizado una investigación y análisis que la lleva a considerar que el presente Informe de Valorización de las acciones comunes y de inversión emitidas por Compañía Minera Milpo S.A.A., ha sido preparado de acuerdo con la propuesta técnica y requisitos detallados en el presente documento, teniendo como base la información brindada por el emisor. Asimismo, la entidad valorizadora se hace responsable por los daños que se pueda generar causados por la expedición de un informe con un inadecuado sustento técnico o insuficiencia en su contenido dentro del ámbito de su competencia, de acuerdo con la responsabilidad establecida por el Código Civil.
4
Análisis del Contexto de la Operación
Análisis del Contexto de la Operación Antecedentes • Cuando un emisor decide deslistar sus valores del Registro Público del
Mercado de Valores, está obligado a realizar una oferta pública (OPC), la cual es de carácter forzoso. El objetivo de la OPC es que el inversionista pueda vender los valores a un precio razonable y no se vea afectado por: (i) el corte de flujo de información del emisor y (ii) la pérdida de liquidez del valor listado. • En este contexto, los antecedentes que generaron la obligación de esta OPC son: •
El 23 de Julio de 2015 la Junta General de Accionistas (JGA) aprobó llevar a cabo un proceso de recompra de acciones y delegar en el Directorio la toma de decisiones de dicha operación.
•
En el marco de lo acordado en dicha Junta, el 27 de Octubre de 2016 se fijan las condiciones para la Oferta de Compra con Difusión Pública (OCDP), entre las cuales las más relevantes son: La oferta se extiende hasta por el 18.54% del capital social de Milpo, Precio ofrecido, S/. 2.95 por cada acción, Plazo de vigencia de la oferta: desde 28 de Octubre de 2016 hasta 29 de
Noviembre. Este plazo fue ampliado hasta el 7 de Diciembre posteriormente.
6
•
En dicha OCDP se recompró el 2.75% del capital social.
•
En este contexto, el 30 de Noviembre de 2016 la JGA aprueba delegar en el Directorio las evaluación, aprobación e implementación de la recompra de acciones y exclusión de las mismas.
Análisis del Contexto de la Operación Antecedentes (cont)
•
7
•
EL 1 de Diciembre el directorio aprueba iniciar el deslistados de las acciones y el 9 de dic presenta la solicitud a la SMV para (i) el deslistado de acciones comunes y de acciones de inversión, y (ii) la redención de acciones de inversión.
•
El 6 de Enero la SMV publica la resolución Nº 001-2017-SMV/11.1 mediante la cual aprueba la exclusión de las Acciones de Inversión de Compañía Minera Milpo S.A.A. condicionado a una oferta pública de compra de valores por exclusión (OPC).
•
El 2 de Marzo de 2017 la Superintendencia del Mercado de Valores (SMV) emite la resolución N°023-2017-SMV/11.1 mediante la cual dispone, a solicitud de Milpo, el deslistado de las acciones comunes, condicionado a una oferta pública de compra de valores por exclusión (OPC).
Determinación de la Fecha de Corte •
Tomando en consideración los antecedentes de la operación, hemos determinado que la Fecha de Corte para la valorización y determinación del valor de las acciones Comunes y de Inversión de Milpo es el 6 de Enero de 2017.
•
La decisión de la Empresa de retirar sus acciones Comunes y de Inversión se dio en una misma fecha. Esta decisión fue informada al mercado. Consideramos que al emitir la SMV la resolución del 6 de Enero el mercado podría anticipar que sucedería lo mismo para las acciones Comunes. De esta forma, dado que el precio de ambas acciones debe estar referido a un mismo valor de Milpo, definimos el 6 de Enero de 2017, como Fecha de Corte para la Valorización y determinación del precio de amabas acciones.
Análisis del Sector
Análisis del Sector La industria minera en Perú • El Perú es uno de los países mineros más importantes a nivel
regional y mundial; ocupando el segundo puesto en la producción de plata, tercero en la producción de zinc y cobre y cuarto en la producción de plomo.
Crecimiento PBI (%) y PBI Minería (%) 25% 20%
• Al 2016, el PBI nacional creció en 3.9% (YoY) debido a una
15%
mayor actividad de la minería metálica, la misma que contribuyó 1.8 puntos porcentuales al crecimiento total del año.
10% 5%
• El crecimiento del PBI minero fue de 21.2% (YoY) en el 2016.
Se espera un crecimiento de 7.5% y 5.0% para el 2017 y 2018 respectivamente.
0% -5% 2008
2009
• En relación a la producción del 2016, resalta el crecimiento del
cobre (+38.4%) y molibdeno (+27.8%); en tanto la producción de zinc retrocedió (5.9%). Producción Minero Metálica por principales productos (2008-2016) 160
120 2 80 1 40
-
2008
2009
2010 Cobre
Fuente: MINEM – Boletín Estadístico 2017
9
2011 Zinc
2012
2013 Plomo
2014
2015
2016
2011
2012
2013
2014
2015
PBI (Var%)
Fuente: BCRP
Ranking de Producción Minera (2016) Mineral Millones OzF
Millones TMF
3
2010
PBI Minero (Var %)
Oro Cobre Plata Zinc Plomo Estaño Molibdeno Cadmio
Plata
Fuente: MINEM – Anuario Estadístico 2016
LatAm
Mundo
1 2 2 1 1 2 2 2
6 2 2 2 4 6 4 8
2016
Análisis del Sector Inversión Minera en el Perú •
•
•
En el 2016, la inversión minera alcanzó los US$ 4,251 MM, inferior en 44.3% al 2015 (YoY) debido a la culminación de proyectos mineros Las Bambas y Cerro Verde. Las empresas que reportaron mayores inversiones en el último año fueron (i) SCCO (13.7%), (ii) Antapaccay (12.8%), (iii) Las Bambas (7.0%), (iv) Antamina (5.8%), (v) Cons. Minero Horizonte (4.9%), (vi) Cerro Verde (3.6%), entre otros. Actualmente la cartera de proyectos de inversión se encuentra compuesta por 46 proyectos
53.2% corresponde a proyectos en exploración, 34.2% a proyectos con Estudio de Impacto Ambiental (EIA) aprobado, 11.2% a proyectos de ampliación y 1.3% en evaluación.
Inversión en Minería (2008-2016) US$ MM 12,000 10,000 8,000 6,000 4,000 2,000 2008
Ampliaciones EIA Aprobado
Shougang Hierro Peru Minera Chinalco Perú Southern Copper Corporation Minera Barrick Cía. Minera Miski Mayo Anglo American Quellaveco Minera Yanacocha Jinzhao Mining Perú Southern Copper Corporation Cía Minera Milpo Bear Creek Mining Company
Proyecto
Region
Marcona Ica Toromocho Junin Toquepala Tacna Lagunas Nortes La Libertad Bayovar Piura Quellaveco Moquegua Conga Cajamarca Pampa de Pongo Arequipa Tia Maria Arequipa Pukaqaqa Huancavelica Corani Puno
Mineral Fe Cu Cu Au Fosfatos Cu Cu, Au Fe Cu Cu-Mo Ag
10
2011
2012
2013
2014
2015
2016
2016: Inversión por empresa Inversión (US$ MM) 1,500 1,350 1,200 640 520 5,000 4,800 1,500 1,400 706 664
SCCO Cía. Minera Antapacay
14%
Las Bambas Antamina
41%
13%
Consorcio Minero Horizonte Buenaventura
7% 6% 5% 3%
Fuente: MINEM – Boletín Estadístico 2017
2010
Fuente: MINEM – Anuario Estadístico 2016
Principales Proyectos en cartera 2017 Empresa
2009
3% 4% 4%
Fuente: MINEM – Anuario Estadístico 2016
Cerro Verde Minera Chinalco La Arena Otros
Análisis del Sector Exportación Minera • Al 2016, las exportaciones mineras alcanzaron US$ 21,652
2016: Exportaciones Metálicas (US$ MM)
MM, superior en 14.9% (YoY). El crecimiento fue impulsado principalmente por mayores volúmenes exportados de cobre (+42.2%) y molibdeno +(37.1%).
1.6% 0.6%
•
un
crecimiento
1.3%
0.1% Cobre Oro
6.8%
• Durante el periodo 2008-2016, las exportaciones metálicas
medidas en dólares acumulan compuesto (CAGR) de 2.3%.
1.6%
7.6%
Zinc
47.0%
anual
Plata Plomo
Los principales metales exportados en el año fueron: (i) cobre (47.0%), oro (33.6%), plomo (7.6%) y zinc (6.8%).
Estaño 33.6%
Hierro Molibdeno
• En relación al volumen exportado: Cobre: Al 2016, alcanzó volúmenes de 2.5 MM de Fuente: MINEM – Boletín Estadístico 2017
Exportaciones Metálicas TM/Onz (2008-2016)
Plomo: Al 2016, alcanzó volúmenes de 0.9 MM de
3,000
TMF, acumulando un CAGR de 7.6% (2008-2016). TMF, acumulando un CAGR de -3.3% Plata: Al 2016, alcanzó volúmenes de 7.1 MM de Oz,
acumulando un CAGR de 19.4%.
40
2,500
35
2,000 Miles TM
Zinc: Al 2016, alcanzó volúmenes de 1.1 MM de
45
30 25
1,500
20
1,000
15 10
500
5
-
2008
2009 Cobre
Fuente: MINEM – Boletín Estadístico 2017
11
2010
2011 Zinc
Fuente: MINEM – Boletín Estadístico 2017
2012
2013
2014
Plomo
2015
2016 Plata
Millones Oz Troy
TMF, acumulando un CAGR de 9.1% (2008-2016), producto de la puesta en operación de grandes proyectos cupríferos (Cerro Verde y Las Bambas).
Análisis del Sector Zinc – Contexto Internacional • El zinc es un metal utilizado por sus características como un
anticorrosivo.
Producción de Zinc por país (2008-2016) 16
• Al 2016, el galvanizado del acero representó cerca del 80% de
• La producción mundial de zinc en el 2016 ascendió a 11.9 MM
de TMF aproximadamente, inferior en 6.7% (YoY). • Los principales países productores fueron China (37.7%), Perú
12
Millones TMF
la demanda mundial de zinc seguido por aleaciones 11% y otros 9%.
8
4
(11.2%), Australia (7.1%) y EE.UU (6.5%). Australia
Mexico
Inda
EE.UU.
3,000
zinc disminuyó 5.3% explicado por (i) la desaceleración de la demanda interna de China y (ii) exceso de inventarios, lo que llevó al cierre de varias operaciones.
2,000
US$/TM
2,500
Fuente: MINEM – Anuario Estadístico 2015, USGS
Perú
Cotización Anual Promedio (US$/TM)
• Durante el periodo 2008-2016 la cotización anual promedio del
1,500 1,000 500
Fuente: LME, Bloomberg, Kallpa Securities, Scotiabank, JP Morgan, Deutsche Bank Elaboración: SUMMA Asesores
2021P
2020P
2019P
2018P
2016
2017P
2015
2014
2013
2012
2008
explicado por menores niveles de producción. Para los años posteriores se prevé un aumento en la producción y consecuentemente una caída en el precio del metal.
China
Fuente: MINEM – Anuario Estadístico 2016
Crecimiento del sector construcción y automotriz a nivel mundial.
• En el 2017 se espera una recuperación en el precio del metal
12
Otros
2011
Reservas e inventarios de zinc disponibles para la venta (según United States Geological Survey, se estima que las reservas conocidas de zinc al 2016 alcanzarían 220 MMTM).
2008 2009 2010 2011 2012 2013 2014 2015 2016
2010
-
2009
• El precio del zinc a nivel mundial depende de:
Análisis del Sector Zinc – Perú • Al 2016 la producción de zinc en el Perú acumula un
Producción de Zinc (2008-2016)
decrecimiento anual compuesto (CAGR 2008-2016) de 2.2%, alcanzando niveles mínimos en el 2011 (1.2 MM TMF) y con una tendencia positiva desde entonces. inferior en 5.9% respecto al 2015, debido a menores rendimientos y cierres de minas. • Los principales productores locales son: Antamina: 19.6% de la producción nacional, Milpo: 18.4%,
Volcan: 12.6%,
CAGR (2008-2016: -2.2%
1.6 1.4 Millones TMF
• A cierre de año, la producción de zinc alcanzó 1.3 MM TMF,
1.8
1.2 1.0 0.8 0.6 0.4 0.2 2008 2009 2010 2011 2012 2013 2014 2015 2016
Fuente: MINEM – Anuario Estadístico 2016
Chungar: 5.0% y El Brocal 4.4%, concentrando los antes indicados el 60%
2016: Principales Productores de Zinc (TMF)
de la producción nacional de zinc en el 2016.
Antamina
19.6%
• Las reservas de zinc ascendieron a 25 MM TM en el 2016,
según cifras de United States Geological Survey.
Milpo
36.5% Volcan Chungar
18.4%
3.5% 4.4%
Fuente: MINEM – Boletín Estadístico 2017, Anuario 2015
13
El Brocal Catalina Huanca Sociedad Minera
5.0%
12.6%
Fuente: MINEM – Boletín Estadístico 2017
Otros ( expectativa de lograr 70% Interpretado* como Recursos Inferidos Margen de Error medio de 55% -> expectativa de lograr 45% * Interpretación del valorizador para la estimación de los Recursos convertidos en Reservas
Fuente: J.G. Stone and P.G. Dunn, "Ore Reserve Estimates in the Real World", SOCIETY OF ECONOMIC GEOLOGISTS, INC, 2012
200
Anexo Proyectos Polimetálicos Empresas polimetálicas utilizadas como comparables • El ratio promedio ponderado (19.42) se obtuvo por a través de la división del Valor Empresa de las
comparables juniors (US$) y el total de recursos medidos indicados e inferidos de zinc equivalente de los proyectos, medido en TM. • El resultado arroja un ratio de US$ 19.42 por TM de zinc equivalente.
Empresa
País
Market Cap (US$ MM)
Deuda Neta EV (US$ MM) ZnEq Medido (US$ MM)
Golden Rim Resources Ltd
Australia
13.5 -
5.5
8.0
42,627
PNX METALS Ltd
Australia
17.2 -
0.5
16.7
-
Aldridge Minerals Inc
Canada
22.7
26.3
49.0
-
Aquila Resources Inc
Canada
39.5 -
1.4
38.1
Arizona Mining Inc
Canada
459.8 -
6.3
Heron Resources Ltd
Australia
39.2 -
Tinka Resources Ltd
Canada
Variscan Mines Ltd
ZnEq Indicado
ZnEq M,I&Inf
EV / M,I&Inf
43,412
196,826
40.65
457,472
457,472
36.50
1,523,271
16,018
1,539,289
31.83
619,014
561,884
168,630
1,349,527
28.23
453.5
1,269,729
5,476,435
10,767,682
17,513,845
25.89
15.0
24.2
92,000
612,000
390,000
1,094,000
22.12
31.5 -
2.0
29.5
-
101,175
1,634,571
1,735,746
17.00
Australia
6.3 -
1.9
4.4
-
34,607
227,684
262,291
16.78
Rathdowney Resources Ltd
Canada
27.8 -
1.5
26.3
-
-
1,591,140
1,591,140
16.53
Callinex Mines Inc
Canada
23.4 -
3.2
20.2
-
323,381
1,055,295
1,378,676
14.65
Heatherdale Resources Ltd
Canada
0.7
7.6
-
401,798
188,725
590,523
12.87
Canadian Zinc Corp
Canada
44.6 -
7.1
37.5
1,719,012
1,702,279
3,812,400
9.84
Venturex Resources Ltd
Australia
13.8 -
0.5
13.3
1,562,581
1,562,581
8.51
Ironbark Zinc Ltd
Australia
34.7 -
1.7
33.0
968,812
3,882,150
8.50
Firestone Ventures Inc
Canada
0.5
1.6
-
13,885
203,271
7.87
Foran Mining Corp
Canada
0.9
24.4
-
1,833,410
1,529,247
3,362,657
7.26
14,261,177
22,317,432
40,532,396
Total
6.9
1.1 25.3 -
787.3
391,109 1,349,922
3,764,400
110,787
ZnEq Inferido
-
1,563,417 -
Promedio Ponderado
Fuente: Capital IQ al 06/01/2017, Elaboración: SUMMA
201
19.42x
Anexo Valor de Proyectos Cupríferos Proyecciones: Magistral Procesamiento TPD N° Días Mineral Tratado Concentrado de Cobre Ley Cabeza Cu Ley Cu Recuperación Cu Concentrado Cobre Concentrado de Molibdeno Ley Cabeza Mo Ley Mo Recuperación Mo Concentrado Molibdeno
Unidad t/dia días t
2017 -
2018 -
2019 -
2020 -
2021 10,000 360 3,600,000
2022 10,000 360 3,600,000
2023 10,000 360 3,600,000
2024 18,000 360 6,480,000
2025 20,000 360 7,200,000
2026 20,000 360 7,200,000
2027 20,000 360 7,200,000
2028 20,000 360 7,200,000
2029 20,000 360 7,200,000
2030 20,000 360 7,200,000
2031 20,000 360 7,200,000
2032 20,000 360 7,200,000
2033 20,000 360 7,200,000
2034 20,000 254 5,082,521
% % % TMS
0% 0% 0% -
0% 0% 0% -
0% 0% 0% -
0% 0% 0% -
1% 28% 97% 113,117
1% 28% 95% 97,287
1% 28% 94% 81,256
1% 27% 92% 122,842
1% 28% 92% 134,428
0% 28% 91% 107,778
1% 28% 92% 129,713
1% 27% 92% 126,385
0% 25% 91% 121,801
1% 26% 92% 135,465
1% 25% 92% 136,604
0% 22% 91% 126,020
0% 22% 90% 121,310
0% 22% 91% 98,478
% % % TMS
0% 0% 0% -
0% 0% 0% -
0% 0% 0% -
0% 0% 0% -
0% 51% 81% 3,271
0% 51% 79% 3,679
0% 51% 81% 3,290
0% 52% 81% 5,816
0% 50% 84% 5,375
0% 52% 85% 5,096
0% 51% 83% 5,862
0% 52% 82% 5,973
0% 52% 83% 5,766
0% 51% 83% 5,873
0% 52% 82% 6,058
0% 52% 84% 5,515
0% 51% 83% 5,827
0% 50% 84% 3,759
Unidad
2017
2018
2019
2020
Ventas Ventas en TM Concentrado Cobre Concentrado Molibdeno Total Ventas en US$ Concentrado Cobre Concentrado Molibdeno Total
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
TMS TMS TMS
-
-
-
-
113,117 3,271 116,388
97,287 3,679 100,966
81,256 3,290 84,546
122,842 5,816 128,657
134,428 5,375 139,803
107,778 5,096 112,874
129,713 5,862 135,575
126,385 5,973 132,358
121,801 5,766 127,567
135,465 5,873 141,338
136,604 6,058 142,662
126,020 5,515 131,535
121,310 5,827 127,137
98,478 3,759 102,238
US$ 000 US$ 000 US$ 000
-
-
-
-
187,229 26,754 213,983
184,383 35,442 219,825
159,129 33,291 192,420
242,110 61,418 303,527
276,883 56,066 332,949
228,604 56,355 284,960
281,151 65,179 346,330
271,511 69,161 340,672
242,033 68,327 310,360
285,277 69,975 355,253
284,237 75,170 359,408
233,116 70,027 303,143
227,543 74,396 301,938
188,320 48,244 236,564
Costo de ventas y Cash cost Unidad Costo de venta Mina Planta Administración Servicios Generales Depreciación Participación de trabajadores Total Costo de Venta Cash Cost Cash Cost Cash Cost
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
US$ 000 US$ 000 US$ 000 US$ 000 US$ 000 US$ 000 US$ 000
2017 -
2018 -
2019 -
2020 -
16,810 26,902 2,384 30,745 30,199 5,600 112,640
17,075 27,574 2,444 26,097 30,297 7,029 110,517
17,967 28,264 2,505 27,557 30,399 4,998 111,690
28,867 45,396 4,622 29,500 37,128 9,591 155,104
49,489 51,701 5,264 33,597 37,196 9,234 186,481
51,212 52,993 5,395 34,437 37,300 5,682 187,020
52,999 54,318 5,530 35,298 38,621 9,477 196,243
54,439 55,676 5,668 36,181 38,729 8,756 199,450
55,920 57,068 5,810 37,085 39,319 6,171 201,373
57,444 58,495 5,955 38,012 39,908 8,908 208,722
59,007 59,957 6,104 38,963 40,498 8,783 213,311
60,617 61,456 6,257 39,937 41,087 4,326 213,679
60,204 62,993 6,413 40,935 20,298 5,692 196,535
38,717 45,578 4,640 29,619 2,359 6,556 127,469
US$ 000 US$/T
-
-
-
-
76,841 21
73,190 20
76,293 21
108,385 17
140,051 19
144,038 20
148,145 21
151,964 21
155,883 22
159,906 22
164,031 23
168,266 23
170,545 24
118,555 23
2021 19,265 4,280 552 8,058 2,140 514
2022 16,972 4,397 566 3,015 528
2023 14,538 3,848 580 1,924 462
2024 22,619 6,071 594 4,062 728
2025 25,175 6,659 609 3,408 799
2026 20,780 5,699 624 2,850 684
2027 25,547 6,927 640 3,463 831
2028 25,516 6,813 656 3,407 818
2029 25,165 6,207 672 3,104 745
2030 28,545 7,105 689 3,553 853
2031 29,480 7,188 706 3,594 863
2032 27,816 6,063 724 3,031 728
2033 27,498 6,039 742 3,019 725
2034 22,656 4,731 761 2,417 568
Gastos Operativos Gasto de ventas Contraprestación con el estado Comunidades Otros Regalías Mineras Otros Gastos OEFA y Osinergmin
Unidad US$ 000 US$ 000 US$ 000 US$ 000 US$ 000 US$ 000
Elaboración: SUMMA Asesores
202
2017 2018 2019 2020 3,860 1,087 1,114 1,142 -
Anexo Valor de Proyectos Cupríferos Proyecciones: Pukaqaqa Procesamiento TPD N° Días Mineral Tratado Concentrado de Cobre Ley Cabeza Cu Ley Cu Recuperación Cu Concentrado Cobre Concentrado de Molibdeno Ley Cabeza Mo Ley Mo Recuperación Mo Concentrado Molibdeno
Unidad t/dia días t
2017 -
2018 -
2019 -
2020 -
2021 -
2022 12,000 360 4,320,000
2023 12,000 360 4,320,000
2024 12,000 360 4,320,000
2025 12,000 360 4,320,000
2026 12,000 360 4,320,000
2027 11,994 360 4,318,000
2028 12,000 360 4,320,000
2029 12,000 360 4,320,000
2030 12,000 360 4,320,000
2031 12,000 360 4,320,000
2032 12,000 360 4,320,000
2033 12,000 360 4,320,000
2034 12,000 360 4,320,000
% % % TMS
0.0% 0.0% 0.0% -
0.0% 0.0% 0.0% -
0.0% 0.0% 0.0% -
0.0% 0.0% 0.0% -
0.0% 0.0% 0.0% -
0.6% 25.0% 88.0% 98,185
0.6% 25.0% 88.0% 92,099
0.6% 25.0% 88.0% 89,799
0.6% 25.0% 88.0% 84,041
0.5% 25.0% 88.0% 79,659
0.6% 27.0% 86.0% 84,946
0.6% 27.0% 86.0% 85,857
0.6% 27.0% 86.0% 88,961
0.7% 27.0% 86.0% 101,763
0.8% 27.0% 86.0% 109,117
0.8% 27.0% 86.0% 103,789
0.5% 27.0% 86.0% 74,956
0.5% 27.0% 86.0% 67,793
% % % TMS
0.0% 0.0% 0.0% -
0.0% 0.0% 0.0% -
0.0% 0.0% 0.0% -
0.0% 0.0% 0.0% -
0.0% 0.0% 0.0% -
0.0% 55.0% 65.0% 1,027
0.0% 55.0% 65.0% 945
0.0% 55.0% 65.0% 564
0.0% 55.0% 65.0% 394
0.0% 55.0% 65.0% 681
0.0% 55.0% 65.0% 640
0.0% 55.0% 65.0% 488
0.0% 55.0% 65.0% 539
0.0% 55.0% 65.0% 572
0.0% 55.0% 65.0% 570
0.0% 55.0% 65.0% 550
0.0% 55.0% 65.0% 450
0.0% 55.0% 65.0% 510
Unidad
2017
2018
2019
2020
2021
Ventas Ventas en TM Concentrado Cobre Concentrado Molibdeno Ventas en US$ Concentrado Cobre Concentrado Molibdeno
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
TMS TMS
-
-
-
-
-
98,185 1,027
92,099 945
89,799 564
84,041 394
79,659 681
84,946 640
85,857 488
88,961 539
101,763 572
109,117 570
103,789 550
74,956 450
67,793 510
US$ 000 US$ 000
-
-
-
-
-
157,162 10,685
153,197 10,327
152,857 6,303
146,312 4,509
141,989 7,968
168,535 7,662
173,762 5,983
184,806 6,767
217,075 7,337
238,423 7,483
232,030 7,389
171,277 6,192
158,355 7,175
Costo de ventas y Cash cost Unidad Costo de venta Mina Planta Administración Servicios Generales Depreciación Participación de trabajadores Total Costo de Venta Cash Cost Cash Cost Cash Cost
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
US$ 000 US$ 000 US$ 000 US$ 000 US$ 000 US$ 000 US$ 000
2017 -
2018 -
2019 -
2020 -
2021 -
27,558 27,064 1,878 32,150 4,528 93,178
28,073 28,396 1,925 32,308 4,428 95,130
29,381 28,546 1,973 32,308 3,992 96,200
28,774 29,237 2,023 32,465 3,382 95,880
32,717 29,544 2,073 32,590 2,994 99,918
33,609 29,656 2,125 32,681 4,796 102,867
33,734 28,312 2,178 33,868 5,025 103,117
32,603 27,605 2,233 33,868 5,949 102,257
33,984 28,295 2,288 33,996 7,977 106,540
14,318 29,511 2,346 33,996 10,663 90,833
7,647 30,309 2,404 33,996 10,631 84,987
7,431 31,204 2,464 13,507 7,915 62,522
5,774 32,141 2,526 8,089 48,530
US$ 000 US$/T
-
-
-
-
-
56,500 13
58,394 14
59,900 14
60,033 14
64,334 15
65,390 15
64,224 15
62,440 14
64,568 15
46,174 11
40,360 9
41,099 10
40,440 9
Unidad US$ 000 US$ 000 US$ 000 US$ 000 US$ 000
2017 3,500 -
2018 2,973 -
2019 1,891 -
2020 1,938 -
2021 5,409 -
2022 10,878 3,357 4,526 1,678 403
2023 10,456 3,270 1,635 392
2024 10,394 3,183 1,592 382
2025 9,950 3,016 1,508 362
2026 9,717 2,999 1,500 360
2027 10,606 3,524 1,762 423
2028 10,961 3,595 1,870 431
2029 11,647 3,831 2,472 460
2030 13,648 4,488 3,837 539
2031 14,992 4,918 6,401 590
2032 14,618 4,788 6,560 575
2033 10,831 3,549 4,910 426
2034 10,061 3,311 5,585 397
Gastos Operativos Gasto de ventas Contraprestación con el estado Otros Regalías Mineras Otros Gastos OEFA y Osinergmin
Elaboración: SUMMA Asesores
203
Anexo Valor de Minera Rayrock Valor utilizado Para el valor de Rayrock se utilizó el valor negociado entre Milpo y Coromining en el Acuerdo No Vinculante suscrito en Agosto del 2016. De acuerdo con información provista por Milpo, las partes se encuentran en proceso de negociación para llegar a un acuerdo final. Se incluye extracto de la presentation corporativa de Coromining de Abril 2017 informando de esta transacción. Transaction Status; - Paid US$250,000 for exclusivity - All due diligence completed, final agreement documentation almost completed - Payment of US$6,250,000 due on execution of final agreement https://www.coromining.com/site/assets/files/1320/coro_investor_presentation_website_-_24_april_2017.pdf
Fuente: Milpo Elaboración: SUMMA Asesores
204
Anexo Cotizaciones Cotizaciones Acciones Comunes Milpo Fecha cotización
Cantidad Cierre
Monto
Negociad Negociado a (S/.)
Cantidad Cierre
Monto
Negociad Negociada o (S/.)
Fecha cotización
Cantidad Cierre
Monto
Negociad Negociada o (S/.)
Fecha cotización
Cierre
Cantidad
Monto
Negociad a
Negociad o (S/.)
06/01/2017
3.57
56,343
196,787.11
22/11/2016
3.03
328,647
994,775.71
04/10/2016
2.7
12,000
32,585.00
18/08/2016
2.8
386,804
1,084,400.10
05/01/2017
3.48
112,686
390,632.75
21/11/2016
3.02
779,432
2,349,631.06
03/10/2016
2.9
66,602
179,663.46
17/08/2016
2.7
175,420
474,203.00
04/01/2017
3.42
11,758
39,996.22
16/11/2016
3
300,017
899,831.77
30/09/2016
2.72
11,409
31,032.48
16/08/2016
2.71
63,038
170,432.98
15/11/2016
2.97
167,836
501105.58
29/09/2016
2.72
169,223
460079.91
15/08/2016
14/11/2016
3
30,258
90,466.65
28/09/2016
2.69
195,652
527,432.33
12/08/2016
2.7
163,792
450,638.48
11/11/2016
3
534,558
1,614,034.32
27/09/2016
2.68
68,842
184,496.56
11/08/2016
2.72
135,000
367,985.00
2.68
16,155
43,295.40
10/08/2016
2.73
178,385
484,019.27
1
2.68
09/08/2016
33,500
89,570.00
08/08/2016
2.65
61,042
161,222.60
05/08/2016
2.62
85,641
223,131.74
03/01/2017 02/01/2017
685
2,356.40
30/12/2016 29/12/2016
3.42
203,257
693,158.42
10/11/2016
3
624,776
1,884,456.12
26/09/2016
28/12/2016
3.41
8,813
30052.33
09/11/2016
3.02
253,101
759251.37
23/09/2016
27/12/2016
3.41
34,899
119,017.09
08/11/2016
3
240,314
725,147.60
22/09/2016
26/12/2016
3.41
61,000
207,770.00
07/11/2016
3
50,406
151,218.00
21/09/2016
23/12/2016
3.4
309,344
1,051,769.60
04/11/2016
3.01
796,579
2,375,050.31
20/09/2016
2.67
1,500
4,005.00
04/08/2016
2.6
120,313
312,035.41
22/12/2016
3.4
31,288
105,988.54
03/11/2016
3
157,648
473,883.82
19/09/2016
2.66
2,079
5,530.14
03/08/2016
2.57
77,820
202,197.00
2.68
21/12/2016
3.37
75,152
253,262.75
02/11/2016
3.02
1,040,651
3,142,766.02
16/09/2016
02/08/2016
2.6
354,523
918,794.84
20/12/2016
3.37
69,242
233,345.54
31/10/2016
3.07
284,309
872,925.76
15/09/2016
01/08/2016
2.52
429,669
1,078,204.66
19/12/2016
3.37
165,230
556,825.10
28/10/2016
3.02
678,120
2,016,803.82
14/09/2016
27/07/2016
2.37
192,668
461,610.12
16/12/2016
3.37
36,253
122,172.61
27/10/2016
2.9
88,686
257,304.15
13/09/2016
26/07/2016
2.4
328,217
778,973.13
15/12/2016
3.37
14,356
48,365.31
26/10/2016
2.9
21,539
62,600.23
12/09/2016
2.65
109,756
290,853.40
25/07/2016
2.25
16,250
36,562.50
14/12/2016
3.4
38,684
130,099.50
25/10/2016
2.9
103,050
302,669.00
09/09/2016
2.7
84,552
228,290.40
22/07/2016
2.25
11,150
25,087.50
13/12/2016
3.32
279,661
928,474.52
24/10/2016
2.85
48,032
137,191.20
08/09/2016
2.75
125,550
344,741.50
21/07/2016
2.25
181,000
407,250.00 67,500.00
12/12/2016
3.32
609,226
2,051,374.47
21/10/2016
07/09/2016
2.7
27,520
74,704.00
20/07/2016
2.25
30,000
09/12/2016
3.3
28,578
93,910.06
20/10/2016
2.9
98,075
282,902.50
06/09/2016
2.72
58,672
158,540.40
19/07/2016
2.25
30,236
68,031.00
07/12/2016
3.18
2,263,639
7,093,305.87
19/10/2016
2.95
130,657
376,476.85
05/09/2016
2.71
128,609
348,320.39
18/07/2016
2.25
23,572
53,327.00
06/12/2016
3.1
292,434
907,145.40
18/10/2016
2.83
161,200
451,560.00
02/09/2016
2.7
156,116
423,080.85
15/07/2016
2.27
234,200
526,030.00
05/12/2016
3.1
185,548
588,861.20
17/10/2016
2.75
146,401
402,500.25
01/09/2016
2.7
433,079
1,149,423.47
14/07/2016
2.29
762,975
1,714,172.02
02/12/2016
3.15
346,617
1,088,727.20
14/10/2016
2.75
32,455
89,813.39
31/08/2016
2.67
281,271
758,673.36
13/07/2016
2.2
361,070
794,354.00
01/12/2016
3.12
335,264
1,046,640.62
13/10/2016
2.72
65,094
177,055.68
29/08/2016
2.78
46,472
129,248.34
12/07/2016
2.24
179,363
398,648.60
30/11/2016
3.2
1,001,778
3,166,732.17
12/10/2016
500
1,340.00
26/08/2016
2.77
57,834
159,253.76
11/07/2016
2.19
177,579
390,826.44
29/11/2016
3.03
162,322
491,401.22
11/10/2016
166,752
455,965.44
25/08/2016
2.71
61,805
166,081.92
08/07/2016
2.2
241,800
531,960.00
28/11/2016
3.03
336,714
1,018,029.66
10/10/2016
24/08/2016
2.68
88,853
239,622.12
07/07/2016
2.2
94,400
207,680.00
25/11/2016
3.03
981,192
2,959,458.48
07/10/2016
23/08/2016
2.75
36,693
101,270.83
06/07/2016
2.2
314,470
688,786.56
24/11/2016
3.02
553,705
1669434.2
06/10/2016
2.78
165,000
458800
22/08/2016
2.77
46,464
128895.28
05/07/2016
23/11/2016
3.03
647,764
1,958,402.90
05/10/2016
2.79
9,783
27,183.25
19/08/2016
2.8
154,614
431,776.40
04/07/2016
2.26
15,990
36,085.10
01/07/2016
2.19
152,870
335,997.50
Fuente: BVL Elaboración: SUMMA Asesores
205
Fecha cotización
2.75
Anexo Cotizaciones Cotizaciones Acciones de Inversión Milpo Fecha cotización
Cierre
Cantidad
Monto
Negociad a
Negociad o (S/.)
06/01/2017
650
1,638.00
05/01/2017 04/01/2017
22/11/2016
Cantidad
Monto
Negociada
Negociad o (S/.)
7,100
14,200.00
Cierre 2
21/11/2016 2.58
21,646
55,846.68
16/11/2016
2.1
12,402
26,044.20
Fecha cotización
Cantidad
Monto
Negociada
Negociad o (S/.)
Cierre
Fecha cotización
Cantidad Cierre
Monto
Negociad Negociada o (S/.)
03/10/2016
1.58
21,032
33,230.56
17/08/2016
1.6
5,000
8,000.00
30/09/2016
1.58
7,000
11,060.00
16/08/2016
1.61
5,000
8,037.00
29/09/2016
1.6
5,170
8,272.00
15/08/2016
03/01/2017
15/11/2016
28/09/2016
12/08/2016
1.6
5,000
8000
02/01/2017
14/11/2016
27/09/2016
11/08/2016
1.6
7,400
11,840.00
30/12/2016
11/11/2016
2.15
59,902
127,789.30
26/09/2016
1.6
8,020
12,832.00
10/08/2016
1.55
11,000
17,050.00
29/12/2016
10/11/2016
2.15
91,360
196,424.00
23/09/2016
1.6
13,160
21,056.00
09/08/2016
1.55
4,000
6,200.00
28/12/2016
09/11/2016
2.15
20,000
43000
22/09/2016
08/08/2016
27/12/2016
08/11/2016
2.15
45,002
96,754.30
21/09/2016
05/08/2016
26/12/2016
07/11/2016
2.12
28,189
59,916.35
20/09/2016
04/08/2016
23/12/2016
04/11/2016
2.15
71,865
154,674.31
19/09/2016
03/08/2016 02/08/2016 1.55
10,000
15,250.00
1.5
29,706
44,559.00
22/12/2016
2.58
6,500
16,770.00
03/11/2016
2.18
45,400
98,520.00
16/09/2016
21/12/2016
2.58
10,000
25,800.00
02/11/2016
2.31
59,200
141,702.00
15/09/2016
01/08/2016
20/12/2016
2.58
18,672
48,780.80
31/10/2016
2.28
50,232
109,958.96
14/09/2016
27/07/2016
19/12/2016
2.6
4,000
10,400.00
28/10/2016
1.98
20,325
38,758.85
13/09/2016
16/12/2016 15/12/2016 14/12/2016
2.6
27/10/2016
12/09/2016
5,000
8,500.00
26/07/2016 25/07/2016
2,570.00
26/10/2016
09/09/2016
7,721
20,140.60
25/10/2016
08/09/2016
21/07/2016
24/10/2016
07/09/2016
20/07/2016
1.47
7,000
10,290.00
06/09/2016
19/07/2016
1.42
33,206
47,152.52
12/12/2016
2.65
11,193
29,568.15
21/10/2016
09/12/2016
2.59
8,000
20,720.00
20/10/2016
07/12/2016
2.59
5,550
14,281.00
19/10/2016
06/12/2016
18/10/2016
1.72
11,300
19,436.00
05/09/2016
1.58
200
1.75
5,000
350.00
8,750.00
22/07/2016
18/07/2016
392
631.12
02/09/2016
15/07/2016
1.41
15,000
21,150.00
10,000
15,800.00
01/09/2016
14/07/2016
1.45
5,000
7,250.00 3,678.65
05/12/2016
2.59
2,000
5,180.00
17/10/2016
31/08/2016
02/12/2016
2.59
2,355
6,099.45
14/10/2016
29/08/2016
1,000
2,590.00
13/10/2016
01/12/2016
1.7
1,000
13/12/2016
100
172.00
13/07/2016
2,537
5,100
8,770.00
12/07/2016
61
88.45
26/08/2016
11/07/2016
545
790.25
6,987
10,131.15
1.72
30/11/2016
2.59
56,972
134,957.48
12/10/2016
25/08/2016
08/07/2016
29/11/2016
2.25
5,000
11,250.00
11/10/2016
24/08/2016
07/07/2016
28/11/2016
2.23
41,910
92,531.34
10/10/2016
23/08/2016
1.65
3,700
6,105.00
06/07/2016
25/11/2016
2.2
27,402
58,934.40
07/10/2016
22/08/2016
1.63
5,000
8,150.00
05/07/2016
24/11/2016
2.1
54,640
114640
06/10/2016
19/08/2016
750
1275
04/07/2016
23/11/2016
2
11,400
22,800.00
05/10/2016
1.58
5,000
7,900.00
04/10/2016
1.58
5,000
7,900.00
Fuente: BVL Elaboración: SUMMA Asesores
206
Fecha cotización
18/08/2016
01/07/2016
1.45
Anexo Cotizaciones Cotizaciones Acciones Comunes: ATACOAC1 Fecha cotización
Cantidad
Monto
Negociada
Negociado (S/.)
Cierre
Fecha cotización
Cantidad
Monto
Negociada
Negociado (S/.)
Cierre
22/11/2016
06/01/2017
Fecha cotización
Cantidad
Monto
Negociada
Negociado (S/.)
Cierre
Fecha cotización
04/10/2016
18/08/2016
21/11/2016
03/10/2016
17/08/2016
16/11/2016
30/09/2016
16/08/2016
03/01/2017
15/11/2016
29/09/2016
15/08/2016
02/01/2017
14/11/2016
28/09/2016
30/12/2016
11/11/2016
29/12/2016
10/11/2016
28/12/2016 27/12/2016
05/01/2017
Monto
Negociada
Negociado (S/.)
0.355
136,794
1,033
361.55
12/08/2016
0.35
48,915
17,130.25
27/09/2016
11/08/2016
0.345
12,000
4,140.00
26/09/2016
10/08/2016
0.36
12,000
4,320.00
09/11/2016
23/09/2016
09/08/2016
08/11/2016
22/09/2016
08/08/2016
07/11/2016
21/09/2016
05/08/2016
23/12/2016
04/11/2016
20/09/2016
04/08/2016
22/12/2016
03/11/2016
19/09/2016
03/08/2016
21/12/2016
02/11/2016
16/09/2016
02/08/2016
0.34
13,000
4,420.00
813
244.71
04/01/2017
0.44
26/12/2016
10,000
5,000
4,400.00
2,275.00
20/12/2016
4,040
1,898.80
31/10/2016
19/12/2016
95
43.23
100,000
47,000.00
2,000
660.00
15/09/2016
01/08/2016
28/10/2016
14/09/2016
27/07/2016
27/10/2016
13/09/2016
0.35
17,003
5,951.05
26/07/2016
15/12/2016
26/10/2016
12/09/2016
0.35
19,556
6,844.60
25/07/2016
14/12/2016
25/10/2016
09/09/2016
13/12/2016
24/10/2016
08/09/2016
21/07/2016
4,700.00
21/10/2016
07/09/2016
20/07/2016
16/12/2016
12/12/2016
0.47
10,000 4,018
1,828.19
20/10/2016
06/09/2016
19/07/2016
0.455
55,240
24,288.55
19/10/2016
05/09/2016
18/07/2016
18/10/2016
02/09/2016
15/07/2016
05/12/2016
3,189
1,215.01
17/10/2016
01/09/2016
02/12/2016
5,200
2,080.00
14/10/2016
31/08/2016
13/10/2016
29/08/2016
12/07/2016
12/10/2016
26/08/2016
11/07/2016
29/11/2016
11/10/2016
25/08/2016
28/11/2016
10/10/2016
24/08/2016
07/07/2016
25/11/2016
07/10/2016
23/08/2016
06/07/2016
24/11/2016
06/10/2016
22/08/2016
05/07/2016
23/11/2016
05/10/2016
19/08/2016
04/07/2016
07/12/2016 06/12/2016
01/12/2016 30/11/2016
173
60.55
14/07/2016
0.35
40,679
5,003
14,237.65
1,751.05
13/07/2016
08/07/2016
01/07/2016
Fuente: BVL Elaboración: SUMMA Asesores
47,977.93
22/07/2016
0.47
09/12/2016
207
Cantidad Cierre
Anexo Cotizaciones Cotizaciones Acciones Comunes: ATACOBC1 Fecha cotización
Cantidad
Monto
Negociada
Negociado (S/.)
Cierre
Cantidad
Monto
Negociada
Negociado (S/.)
Cierre
Fecha cotización
Cantidad
Monto
Negociada
Negociado (S/.)
Cierre
Fecha cotización
Cantidad
Monto
Negociada
Negociado (S/.)
Cierre
06/01/2017
0.395
40,540
16,013.30
22/11/2016
0.32
186,808
58,730.52
04/10/2016
0.3
284,856
88,736.58
18/08/2016
0.36
757,682
264,514.48
05/01/2017
0.405
48,923
19,813.82
21/11/2016
0.33
39,386
12,747.62
03/10/2016
0.315
23,159
7,292.14
17/08/2016
0.34
457,498
155,544.27
04/01/2017
0.405
234,700
95,927.00
16/11/2016
30/09/2016
0.32
337,454
107,984.35
16/08/2016
0.34
154,775
52,619.71
03/01/2017
0.4
57,476
22981.2
15/11/2016
0.336
53,999
18081.82
29/09/2016
0.32
85,000
27200
15/08/2016
0.34
217,385
73910.9
7,500
3,000.00
14/11/2016
0.34
378,939
126,717.47
28/09/2016
0.316
30,300
9,562.06
12/08/2016
0.34
70,000
23,800.00
02/01/2017 30/12/2016
0.4
51,545
20,594.83
11/11/2016
0.33
390,142
131,366.89
27/09/2016
0.316
52,041
16,410.48
11/08/2016
0.34
60,308
20,504.72
29/12/2016
0.399
273,382
107,945.71
10/11/2016
0.336
307,127
103,451.02
26/09/2016
0.315
38,384
12,171.73
10/08/2016
0.34
235,980
80,233.21
28/12/2016
0.396
20,309
7877.42
09/11/2016
0.325
202,511
65696.72
23/09/2016
0.33
134,926
44515.98
09/08/2016
0.34
184,975
62873.35
27/12/2016
0.39
97,902
38,322.27
08/11/2016
0.328
295,295
97,378.46
22/09/2016
0.337
115,567
38,946.08
08/08/2016
0.335
151,515
50,757.53
26/12/2016
0.4
45,243
18,129.56
07/11/2016
0.329
253,916
83,934.35
21/09/2016
0.336
160,110
53,884.76
05/08/2016
0.33
90,200
29,838.25
2,534
969.92
04/11/2016
0.33
156,854
51,637.30
20/09/2016
13,131
4,267.58
04/08/2016
0.401
61,842
24,970.30
03/11/2016
0.33
178,848
59,019.84
19/09/2016
23/12/2016 22/12/2016
3
0.98
03/08/2016
0.33
443,249
149,906.09
21/12/2016
0.41
246,720
101,138.45
02/11/2016
0.33
209,550
69,150.24
16/09/2016
02/08/2016
0.35
309,150
108,100.79
20/12/2016
0.395
376,159
148,244.08
31/10/2016
0.33
250,250
82,957.50
15/09/2016
0.319
34,292
10,944.44
01/08/2016
0.34
418,641
142,141.60
19/12/2016
0.385
36,140
13,948.90
28/10/2016
0.336
234,776
78,486.33
14/09/2016
0.32
114,979
36,782.78
27/07/2016
0.33
180,579
60,106.09
16/12/2016
0.409
407,000
163,005.50
27/10/2016
0.331
25,000
8,275.00
13/09/2016
0.318
120,500
38,275.80
26/07/2016
0.34
674,612
228,612.39
0.32
65,313
20,849.74
15/12/2016
0.41
463,180
190,598.21
26/10/2016
12/09/2016
0.32
111,596
35,638.26
25/07/2016
14/12/2016
0.42
748,344
314,250.22
25/10/2016
0.33
431,551
145,069.22
09/09/2016
0.32
153,891
50,048.11
22/07/2016
13/12/2016
0.42
379,874
161,319.66
24/10/2016
0.34
252,046
85,654.78
08/09/2016
9,091
3,009.21
21/07/2016
24,914
8,016.53
0.33
168,868
55,596.65
0.325
298,367
95,339.04
12/12/2016
0.43
1,290,656
562,853.58
21/10/2016
0.34
83,883
28,135.18
07/09/2016
0.331
221,024
72,969.26
20/07/2016
09/12/2016
0.429
1,283,357
549,560.40
20/10/2016
0.335
114,729
38,103.60
06/09/2016
0.338
48,738
16,488.55
19/07/2016
07/12/2016
0.411
1,100,905
452,336.33
19/10/2016
0.322
25,564
8,179.55
05/09/2016
7,060
2,392.42
18/07/2016
06/12/2016
0.395
163,123
63,503.40
18/10/2016
25,253
7,996.70
02/09/2016
0.338
272,261
91,721.53
05/12/2016
0.399
1,024,977
397,262.61
17/10/2016
25,253
7,902.17
01/09/2016
0.333
394,697
127,197.21
02/12/2016
0.365
520,582
189,222.65
14/10/2016
5,051
1,565.81
31/08/2016
0.32
199,192
64,733.36
13/07/2016
01/12/2016
0.37
381,195
141,301.35
13/10/2016
0.313
75,808
23,798.00
29/08/2016
0.335
90,808
30,616.64
12/07/2016
30/11/2016
0.38
1,001,530
362,959.96
12/10/2016
26/08/2016
0.342
191,085
65,209.27
11/07/2016
0.32
160,596
51,725.24
29/11/2016
0.346
137,874
46,903.82
11/10/2016
0.305
93,475
28,470.07
25/08/2016
0.33
254,606
82,937.49
08/07/2016
0.315
294,239
92,660.28
28/11/2016
0.346
985,290
339,846.10
10/10/2016
5,051
1,535.50
24/08/2016
0.338
203,147
67,508.17
07/07/2016
0.315
53,333
16,791.90
25/11/2016
0.338
869,979
296,810.73
07/10/2016
0.304
101,010
30,706.08
23/08/2016
0.35
20,202
7,068.68
06/07/2016
0.33
312,407
99,029.24
24/11/2016
0.33
560,773
181209.14
06/10/2016
0.304
29,293
8893.07
22/08/2016
05/07/2016
0.305
43,692
13257.6
2,690
860.80
05/10/2016
8,666
2,608.47
19/08/2016
0.36
511,974
184,308.46
04/07/2016
0.31
293,147
90,188.51
01/07/2016
0.295
274,365
81,601.44
23/11/2016
Fuente: BVL Elaboración: SUMMA Asesores
208
Fecha cotización
0.313
6,049
1,923.58
0.325
229,545
74,062.76
15/07/2016
0.327
397,122
129,494.10
14/07/2016
0.329
149,941
49,322.06
0.329
10,705
3,425.08
242,640
79,799.06
Anexo Tasa de Descuento Tasa de Descuento: Tasa de libre de riesgo Perú
Fecha ene-14 feb-14 mar-14 abr-14 may-14 jun-14 jul-14 ago-14 sep-14 oct-14 nov-14 dic-14 ene-15 feb-15 mar-15 abr-15 may-15 jun-15 jul-15 Fuente: BCRP
209
Treasury 10yr Yield % 2.85 2.70 2.72 2.69 2.55 2.59 2.53 2.41 2.53 2.30 2.32 2.20 1.88 1.98 2.04 1.92 2.19 2.25 2.32
EMBIG Perú 177 183 167 154 149 145 147 157 150 170 165 182 202 183 184 177 166 177 187
Fecha ago-15 sep-15 oct-15 nov-15 dic-15 ene-16 feb-16 mar-16 abr-16 may-16 jun-16 jul-16 ago-16 sep-16 oct-16 nov-16 dic-16 Promedio
Treasury 10yr Yield % 2.16 2.16 2.11 2.26 2.24 2.06 1.77 1.89 1.80 1.80 1.64 1.49 1.56 1.63 1.75 2.15 2.49 2.17
EMBIG Perú 217 234 226 219 236 266 282 227 210 208 210 184 170 162 147 168 165 188
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos BVL 1995 01-ene 02-ene 03-ene 04-ene 05-ene 06-ene 07-ene 08-ene 09-ene 10-ene 11-ene 12-ene 13-ene 14-ene 15-ene 16-ene 17-ene 18-ene 19-ene 20-ene 21-ene 22-ene 23-ene 24-ene 25-ene 26-ene 27-ene 28-ene 29-ene 30-ene 31-ene 01-feb 02-feb 03-feb 04-feb 05-feb 06-feb 07-feb 08-feb 09-feb 10-feb 11-feb 12-feb 13-feb 14-feb 15-feb 16-feb 17-feb 18-feb 19-feb 20-feb 21-feb 22-feb 23-feb 24-feb 25-feb 26-feb 27-feb 28-feb 29-Feb
210
-0.60% -2.02% -1.82% -1.35%
-8.45% -0.83% 6.30% 5.41%
-0.65% -0.03% -1.21% -3.93% -1.69%
-1.82% 0.95% -0.16% 0.70% -1.74%
-8.01% 4.47% 5.02% -2.14% -0.19%
-1.45% -0.97% -1.79% -3.98% -0.68%
-1.84% 6.86% -1.29% -2.23% 1.03%
0.30% -0.94% -1.66% -0.15% 0.21%
-1.75% -2.90%
1996
1997
1998
1.08% 2.34% 0.93% -0.44%
0.05% 2.24%
-0.35%
-0.63% -0.44% -1.32% 0.23% 0.64%
0.12% -0.66% -0.34% -0.56% -0.13%
-0.06% -0.26% -0.62% -0.42% 0.47%
0.81% 0.13% 1.03% 1.61% 3.33%
2.36% 4.07% -1.28% 0.01% 0.06%
-0.24% -1.16% -1.66% -0.11% 0.47%
-0.13% -0.95% -1.09% 0.50% -0.30%
-0.61% -1.61% -1.29% -1.83%
0.64% 1.14% 0.66% -0.20% 0.22%
0.55% 2.10% 0.37% -0.95% 0.74%
-0.94% -0.20% -0.14% 0.30% 0.31%
-0.26% -0.12% -0.05% 0.37% 0.77%
0.34% 1.81% 0.30% -1.10% -0.40%
-0.68% -0.43% 0.04% 0.40% 0.24%
-0.52% 0.25% 0.80% -0.05% 0.93%
0.54% 1.19% 1.71% -0.55% 0.26%
-0.77% -1.23% -1.14% -1.77% -1.67%
-0.87% 0.25% -0.21% -1.53% 0.41%
0.04% -0.06% -0.92% 0.61% 0.33%
-0.63% -0.91% -0.61% -0.06% 1.33%
1.84% 0.71% 2.00% 1.09% -1.61%
-0.23% 0.38% -0.81% -1.10% -0.44%
-0.08% -0.85% -2.16% 0.15% 0.22%
-1.16% -2.22% -0.13% 0.42% 1.71%
1999
0.31% -0.72% 1.70% -0.54% 2.02%
-0.80% -1.57% -5.45% -1.67% 5.57%
0.22% -0.90% 1.91% -1.62% -1.63%
0.51% 0.45% -0.07% 0.12% 1.45%
0.98% 1.77% 0.92% 0.13% -0.52%
0.85% -0.19% -0.54% 0.77% 0.02%
0.01% 0.89% 1.03% 1.20% -0.35%
-0.40% -0.11% 0.26% -0.29% 0.76%
2000
-0.38% -0.91% -0.09% -0.65% 0.39%
-0.31% 0.22% 0.84% 4.06% -0.07%
0.34% -0.01% 0.03% -1.94% -0.75%
-0.45% -1.77% 1.13% 1.06% -0.85%
-0.42% -0.62% 0.58% 0.68% 1.78%
-0.21% -0.55% -0.08% 0.50% -0.55%
-0.51% -0.57% -0.46% -0.09% -0.72%
-0.56% 0.14% 0.24% 0.47% -0.14%
-0.71% 0.54%
2001
2002
2003
2004
0.54% 0.44% 0.86% 0.04%
0.32% 1.64% 1.14%
0.95% 0.99%
2.41%
-0.32% 0.79% -0.15% 0.68% 0.24%
0.04% -0.09% 0.53% 0.48% 1.11%
0.53% 0.83% -0.07% -0.90% -0.77%
-0.41% 0.74% 0.69% 1.69% 0.62%
0.49% 0.82% -0.84% 0.34% 0.73%
-0.62% -0.53% 0.25% 0.17% 0.38%
-0.75% -0.28% -0.21% -0.79% -0.92%
0.16% 0.04% 0.18%
-0.58% 0.57% 1.41% -0.69% 0.66%
0.43% 1.38% -0.46% 0.31% 0.72%
-0.41% 0.26% 0.38% 1.33% 1.03%
0.20% -1.26% -0.83% 0.52% 0.50%
-0.79% -0.21% -1.03% 0.48% 0.38%
-0.18% 0.02% 0.08% 0.29% 0.31%
0.29% -0.27% -0.15% -0.34% -0.21%
0.46% 0.81% 0.42% 0.04%
0.77% 0.74% -0.08% 0.54% 1.22%
0.32% 0.13% 1.39% 0.61% 0.69%
0.04% 1.55% 0.07% 0.60% 0.91%
-0.45% -0.61% -0.86% 0.01% -0.82%
0.58% 0.63% -0.11% 0.96% -1.08%
-0.44% -0.38% -0.21% 0.36% -0.22%
-0.14% 1.09% 0.07% 1.00% -0.17%
0.09% -0.30% -0.97% 0.93% 0.89%
4.38% 2.34% 4.06% 3.27% 1.84%
0.16% -2.84% -3.60% 0.19% 1.77%
1.24% 0.06% -1.04% -0.42% 0.62%
-0.77% -0.43% 0.57% -2.23% 0.34%
-1.12% 1.05% -0.76% -0.19% 0.54%
1.19% 0.36% 0.96% 0.22% -0.73%
-0.32% 0.26% -1.13% -0.01% -0.60%
-0.38% 0.75% -0.38% 0.75% 0.25%
2005
1.72% -1.19% 0.19% -0.45% 1.09%
1.08% 0.97% -0.29% -0.33% -0.17%
-0.14% 0.11% 0.44% -0.19% 1.17%
0.39% 0.48% 0.95% -0.07% -1.01%
-0.18% 0.15% -0.26% -0.51% -0.67%
-0.50% 0.07% 0.13% 1.63% 1.14%
0.30% -0.95% 0.92% 1.43% 0.89%
-0.77% 0.42% 0.86% -0.24% 0.30%
0.66%
2006
2007
2008
0.11% 1.70% 0.45% -1.85% -0.81%
0.53% -0.70% -0.33% -1.36%
-1.12% 1.76% -0.29%
-0.42% -2.31% 0.54% -0.51% -1.08%
2.99% 2.38% 1.05% 1.92% -0.94%
1.16% 2.20% 1.59% 4.27% 0.68%
4.04% -0.83% 5.01% 3.63% 3.00%
2.68% -2.99% -2.78% -3.68% -0.89%
2.40% 1.11% -2.38% 1.75% 0.46%
0.53% 0.23% -0.01% -0.19% 0.49%
0.18% -0.41%
-1.63% -0.63% 2.92% 2.65% -0.25%
0.81% 0.60% -0.55% -0.34% 1.42%
1.13% 1.13% 0.37% 0.80% -0.22%
-0.49% -0.56% 0.52% 0.30% -0.81%
0.44% 0.81% 0.92% 0.76% 1.68%
0.13% 1.54% 0.78% 0.26% -0.18%
0.58% 0.34% 1.64% 2.18% 1.65%
0.60% -2.09% -0.85%
-0.74% 0.17% -2.06% -1.62% -2.13%
-0.44% -4.41% -5.38% -0.35% -0.64%
-8.35% 4.77% -5.93% 2.45% 2.01%
-0.42% 2.51% 2.67% 3.20% 2.36%
3.84% -3.55% 0.74% -0.38% 2.58%
1.38% 2.64% 0.29% -0.53% -2.38%
0.48% 1.92% 0.96% 2.48% -0.74%
0.86% 1.81% 2.54% 1.55% -1.58%
2009
3.99% 1.47% -2.55% -0.54% -0.33%
-1.95% 0.21% -1.86% -0.01% 1.26%
1.01% -1.33% -0.39% -1.21% 1.56%
-0.10% -1.15% 1.20% -0.21% -0.91%
-1.36% -0.64% 1.76% -0.23% 1.58%
0.17% -1.70% 0.38% -0.57% 0.57%
0.07% -1.83% -0.43% -0.91% -0.69%
-1.19% -1.09% 0.61% 2.87% -0.66%
2010
2.78% 2.48% 2.15% 0.74% 1.78%
1.89% -2.10% -0.33% -1.90% -0.92%
0.80% -0.20% -0.93% -1.61% 0.37%
-0.10% -0.31% -0.92% -1.16% -0.40%
0.50% 1.01% -0.79% -3.14% -1.56%
-0.42% 2.35% 0.30% 1.30% -0.51%
0.56% 1.13% -0.93% 0.09% 0.27%
-0.23% -2.19% 0.18% -0.99% 0.14%
2011
1.17% -0.67% 0.02% -0.81% -1.61%
-1.86% 0.77% -0.19% -2.05% -1.69%
0.12% 1.37% 0.04% -1.91% -0.25%
0.95% -0.56% 1.25% 2.26% 0.12%
1.58% 1.45% 0.87% 1.30% -0.09%
0.32% -1.22% -2.12% -0.56% -0.39%
0.94% -0.98% 0.12% 0.02% 1.09%
-0.06% -1.45% -0.35% 0.09% 0.57%
0.35%
2012
2013
2014
0.54% 1.57% 0.27% 0.02% -0.72%
1.87% 0.50% 0.48%
0.78% 0.01%
0.74% 1.61% 0.06% 1.28% -0.33%
0.59% 0.59% 0.75% 0.66% -0.56%
1.52% 0.34% 0.63% 1.10% 0.91%
0.04% 0.44% 1.93% 1.41% 1.02%
-0.05% -0.45% -0.32% -0.15% -0.88%
-0.30% -0.72% 0.03% 0.38% 0.43%
0.66% 1.19% -0.01% -0.15% -0.04%
-0.42% 0.75% -0.75%
0.54% 0.97% 0.20% 1.46% 0.02%
-0.16% -0.62% 0.47% -0.35% -0.44%
0.37% -0.56% 0.12% -0.70% -1.01%
-1.68% 0.07% 1.74% 0.61% 1.70%
-0.73% 0.41% 0.11% -0.21% 0.33%
-0.76% 0.07% -0.07% -1.00% -1.34%
-0.01% -0.38% -0.99% -0.75% -0.14%
-0.34% 0.57% -0.19% -0.14%
-0.25% -0.06% 0.79% -0.01% 0.74%
0.42% -0.04% 0.28% 0.88% 0.88%
0.42% -0.03% -0.91% -0.02% -1.96%
-1.68% -0.97% -1.52% 1.00% -0.63%
-2.60% 0.20% -0.06% 0.25% 1.59%
-0.42% 0.30% 0.13% 0.63% 0.75%
0.26% -0.25% -0.95% 0.40% 0.55%
0.18% -0.67% -0.90% -0.28% 0.88%
2015
-1.71% 0.00% -0.35% -0.39% -0.33%
-0.18% -2.37% -3.68% 0.26% 0.19%
0.11% 0.03% -1.38% 0.89% -0.22%
0.71% 1.19% -0.80% -1.21% 1.52%
-0.93% 0.67% 0.89% 0.33% -1.92%
0.64% -0.50% -0.36% 1.30% 2.14%
0.55% -2.00% 0.50% 0.19% -0.67%
-2.24% 0.25% -0.84% -0.20% 0.33%
2016
-0.56% -0.98% -0.87% -1.65% -1.34%
-1.89% 0.06% -0.66% 0.13% -0.67%
-0.12% -1.60% -0.16% 0.05% 1.71%
0.26% 1.25% 0.65% 0.83% 0.90%
0.41% -1.65% 1.48% 2.87% 0.17%
-0.16% -0.16% 2.24% 1.31% 1.90%
0.37% 0.30% 0.63% 0.34% -0.02%
2.06% 0.21% 0.63% 0.54% -0.15%
0.24%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos BVL 01-mar 02-mar 03-mar 04-mar 05-mar 06-mar 07-mar 08-mar 09-mar 10-mar 11-mar 12-mar 13-mar 14-mar 15-mar 16-mar 17-mar 18-mar 19-mar 20-mar 21-mar 22-mar 23-mar 24-mar 25-mar 26-mar 27-mar 28-mar 29-mar 30-mar 31-mar 01-abr 02-abr 03-abr 04-abr 05-abr 06-abr 07-abr 08-abr 09-abr 10-abr 11-abr 12-abr 13-abr 14-abr 15-abr 16-abr 17-abr 18-abr 19-abr 20-abr 21-abr 22-abr 23-abr 24-abr 25-abr 26-abr 27-abr 28-abr 29-abr 30-abr
211
1995 -0.15% 0.52% -1.87%
-0.84% -1.58% -3.91% -3.34% 0.47%
4.10% 7.82% 2.60% 0.59% 2.57%
-1.07% 1.76% 2.45% 0.36% 0.52%
0.98% 0.03% -2.54% -4.07% -0.61%
3.96% 2.77% 1.81% 6.42% 0.64%
7.12% -1.29% -1.57%
0.27% 1.34% 2.24% 0.40% 0.69%
1.98% 2.22% 0.64% -0.27% -0.33%
1996 1.42%
-0.37% -1.32% -1.23% -0.84% 0.55%
2.18% -0.30% 0.54% -0.77% -1.63%
-0.46% -0.23% -0.85% -0.32% -1.16%
-0.86% -0.25% -1.33% 0.15% 1.37%
1.33% -0.44% -0.50%
-0.66% 0.17% -0.86% -0.09% 0.69%
0.82% -0.57% -0.47% 1.59% 0.86%
3.49% 1.69% -1.33% -0.22% -0.03%
-1.07% 0.85%
1997
-0.37% 0.51% 0.47% 1.25% 1.37%
0.31% 0.44% -0.57% -1.14% 0.49%
-0.17% 0.01% -1.04% -0.33% 0.73%
-0.39% 0.41% 1.43%
-0.08% -0.59% -0.26% 0.32% 0.90%
1.60% 0.61% 0.17% -0.66% 0.27%
0.78% 0.80% -0.78% -0.02% 0.17%
0.56% -0.05% 0.81% -0.43% -0.02%
0.04% 0.25% 0.51%
1998 0.47% -0.01% 0.26% 0.43% 1.42%
0.92% 0.72% -0.70% 0.17% -0.15%
-0.14% -0.56% -0.19% -0.62% -0.21%
1.00% 1.47% 0.87% 0.91% 0.73%
1.35% -0.79% -0.02% 2.23% 1.78%
0.56% -1.68% 0.43%
1.52% 0.30% 0.60% -0.66% 0.38%
0.56% 1.74% 0.40% -0.46% 1.13%
-0.88% 0.71% 1.63% 0.08%
1999 -0.45% -0.29% 0.54% 0.90% 1.50%
0.32% -0.86% 1.02% 0.59% -0.14%
-0.53% -0.38% -0.65% 0.87% 1.09%
-0.43% -0.43% -0.55% 1.18% -0.09%
-0.73% 0.29% 0.91%
-0.17% 0.66% 0.26% 1.14% 0.06%
-0.54% 0.42% 0.49% 1.13% 4.23%
2.78% -0.39% 0.36% 0.95% -0.25%
-0.34% 0.58% -0.48% -0.19% 0.63%
2000 -0.25% 0.02% 0.53%
-0.04% -0.96% -0.90% -0.09% 0.47%
-0.36% -0.31% -0.60% -0.38% -0.75%
0.32% 0.06% -1.97% -0.86% 0.92%
-1.30% -0.84% -1.01% -0.37% 0.46%
-0.51% -0.62% 1.80% 0.08% 1.36%
-0.54% -1.03% -0.14% -0.37% -1.11%
-2.11% 1.66% -0.26%
-0.79% 0.40% 0.40% -0.40% 0.04%
2001 -0.17% -0.21%
-0.59% 0.32% 0.15% 0.02% 0.72%
-0.72% -0.11% -0.74% 0.40% 0.59%
-0.24% 0.06% -1.00% -0.18%
0.69% -0.12% -0.67% 0.63% -0.35%
-0.12% -0.93% 0.19% 0.21% -0.32%
-2.43% -0.39% -0.95%
-0.25% -0.86% 1.49% 0.47% 0.25%
-0.75% -0.53% -0.31% -0.75% -0.31%
0.26%
2002 0.51%
1.36% -1.04% 0.53% 0.34% -0.13%
-0.55% -0.99% 0.86% 0.32% -0.70%
1.21% 0.99% 0.16% -0.88% 0.28%
-0.07% -0.51% -0.51%
0.62% -0.32% 0.12% -1.09% 0.20%
-0.29% 0.06% 0.31% -1.53% -0.06%
-0.37% 0.54% 0.02% -0.11% 0.12%
-0.31% -0.41% -0.45% -0.48% 0.38%
-0.11% -0.07%
2003
-0.89% -0.33% 0.32% 0.16% -0.31%
-1.26% -0.35% -0.77% 0.39% 0.97%
0.79% 0.17% -0.10% 0.59% 0.49%
-0.38% 0.51% -0.03% -0.33% 0.23%
0.31% 0.18% 1.64% 1.51% 0.23%
2.30% -0.19% -0.40% 0.67% 0.05%
-0.04% 0.81% 1.43%
1.33% 1.08% 1.85% -1.33% 0.65%
0.56% 0.43% -0.04%
2004 1.25% 0.44% -1.42% 0.03% 0.53%
0.18% -0.29% 0.55% 0.65% 1.05%
0.31% 1.35% 0.68% 0.47% 0.56%
-0.20% -0.39% 0.40% 0.37% 0.73%
0.83% 0.30% 1.66% 0.61% 0.66%
-1.66% -0.34% 0.47%
-0.70% -1.50% 1.11% -0.40% 1.07%
-0.29% -0.27% -0.77% 0.37% 0.09%
-0.59% -0.06% -3.56% -0.77% -0.45%
2005 0.54% -0.46% -0.01% 0.84%
0.77% 0.50% 0.23% -0.08% -0.71%
0.04% 0.79% 0.22% -0.25% 0.04%
-0.02% 1.51% -1.15%
-0.50% -0.91% 0.52% 0.10% -0.60%
-0.91% -0.02% 0.24% 0.02%
0.08% -0.13% -0.71% -1.54% 0.16%
-0.20% 1.27% 0.94% -0.57% -0.06%
0.01% -0.58% -1.05% -0.42% -0.14%
2006 1.52% 0.43% -1.38%
-2.41% -2.23% -1.70% 3.55% 0.12%
-3.83% 0.28% 0.48% 3.57% -0.01%
-4.08% 1.55% 0.98% -1.00% 0.13%
0.97% 0.07% 1.11% 0.06% -0.45%
0.22% 0.70% 1.77% -0.22% 2.06%
2.28% -1.82% 4.05%
2.55% 2.68% -0.13% -0.31% 3.07%
0.35% 0.67% 0.37% -1.76% 2.57%
2007 0.77% -0.19%
-1.43% 1.59% 1.77% 1.48% -0.48%
1.17% -0.20% -0.83% 1.36% -0.05%
1.45% 0.39% -0.13% 0.51% 0.45%
0.81% 0.62% 1.15% 1.53% 0.79%
2.14% 2.23% 1.28%
1.65% 2.74% -0.51% 1.02% 1.95%
2.64% 2.73% 0.95% -1.00% 0.99%
0.35% 0.11% -0.23% -0.05% 0.43%
-0.51%
2008
0.49% -3.35% 1.67% -0.17% 0.35%
-0.63% 1.79% 1.62% -0.59% -0.44%
-2.95% 1.48% -1.87%
-1.62% -0.06% -0.24% 2.87% -0.16%
-0.10% 0.04% 1.27% 1.54% 1.17%
1.19% -1.33% -0.17% -1.34% -0.71%
-0.85% 0.38% 0.26% -0.51% -0.39%
0.03% 0.52% 0.36% -0.35% -0.84%
-0.37% 0.52% -0.09%
2009 -2.30% 1.37% 3.29% -1.40% 0.78%
1.64% 3.56% -0.61% -1.29% 2.13%
3.79% -1.50% 2.42% 3.65% -0.84%
5.98% 2.35% 4.36% 5.81% 1.27%
-4.82% 3.94% 1.86% 3.94% 3.92%
1.76% -3.43% 0.14%
5.78% -2.04% -0.48% -1.62% 1.21%
-3.16% 0.28% 0.34% -1.67% 1.99%
0.67% -2.01% 2.08% -1.27%
2010 0.99% 0.50% 0.28% -0.14% 1.40%
0.28% -0.49% -0.36% -0.44% 0.63%
-0.84% 1.44% 1.77% 0.03% 0.10%
0.19% 0.45% -0.46% 0.44% 1.01%
1.64% -0.53% -0.06%
2.24% 1.30% 0.14% -0.36% 0.64%
0.06% -0.33% 0.71% -0.47% -1.56%
-0.09% 0.69% 0.70% 0.57% 1.31%
0.41% -1.59% 0.87% -0.09% -0.45%
2011 -0.67% 0.09% -0.38% 0.17%
-0.44% -0.54% -1.22% -2.45% 0.73%
-1.52% -2.19% 0.01% -1.08% -1.26%
4.29% 2.74% 1.36% 1.34% -1.40%
-5.16% 1.90% 1.45% 0.69% -1.80%
-1.78% 1.24% 0.52% -1.89% 0.47%
-3.10% -3.60% -6.22% 0.63% 3.42%
-2.68% 0.78% -1.06%
-3.31% -2.26% 1.09% 5.64% 3.50%
2012 1.12% 0.79%
-0.85% -1.32% 0.77% 0.85% 0.87%
-1.01% 0.64% -0.56% -0.18% -0.05%
0.51% -0.62% 0.53% -1.23% 0.80%
1.66% 1.35% -0.48% -0.86% 1.19%
1.86% -0.07% -1.72%
-0.92% -0.52% -0.06% 0.87% -0.58%
-0.29% 0.40% -0.37% -0.54% 0.50%
-1.40% 0.03% -0.44% -0.20% 0.48%
-1.01%
2013 0.17%
-1.26% 0.30% 0.56% -0.95% 0.10%
-0.12% -0.70% -2.09% 0.00% 2.02%
-0.20% -1.68% 0.18% 0.57% 0.13%
-1.24% 0.09% 0.49%
0.29% -1.08% -0.78% 0.30% -0.50%
-0.66% 0.58% -0.54% 0.37% -1.21%
-4.11% 0.28% -3.09% -0.32% 0.26%
-0.03% -0.66% -0.67% 2.78% -2.01%
0.18% -2.63%
2014
-1.84% 0.35% -0.17% 0.27% -0.63%
-0.21% 0.09% 0.30% -1.85% -0.47%
-0.25% -0.62% -1.50% -0.01% -0.32%
-0.46% -1.44% -0.72% 0.03% 1.68%
0.18% -0.01% 0.01% -0.11% 0.11%
0.03% 1.35% 0.53% 1.29% -0.49%
0.54% -1.01% 0.20%
0.29% 0.75% 1.01% 1.20% -0.20%
-0.04% 1.02% 1.84%
2015 0.18% -0.34% -0.30% -0.44% -1.94%
-2.32% -0.65% -0.38% 0.38% 0.02%
-1.24% 0.40% 0.73% -0.31% 0.86%
-1.30% -0.03% -0.86% -0.32% 0.01%
0.34% 0.36% 2.06%
1.82% -0.55% -0.59% 0.16% 0.50%
-0.03% 0.37% 0.68% 0.90% -0.71%
-0.34% -0.25% 0.44% 0.39% -0.03%
0.85% 0.26% 0.15% 0.98%
2016 0.28% 2.63% 0.76% 1.24%
1.25% -0.32% 1.01% -0.84% -0.94%
-0.29% -1.08% 1.39% 3.39% 2.64%
0.82% -0.36% -1.81%
-0.79% 0.58% 2.31% -0.11% -1.39%
-1.31% 0.48% -0.70% -2.55% 1.01%
8.61% 2.27% 1.08% -1.32% 0.37%
1.25% 2.34% -0.27% 0.41% -0.74%
-0.20% 0.71% 1.35% 0.50% 1.43%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos BVL 01-may 02-may 03-may 04-may 05-may 06-may 07-may 08-may 09-may 10-may 11-may 12-may 13-may 14-may 15-may 16-may 17-may 18-may 19-may 20-may 21-may 22-may 23-may 24-may 25-may 26-may 27-may 28-may 29-may 30-may 31-may 01-jun 02-jun 03-jun 04-jun 05-jun 06-jun 07-jun 08-jun 09-jun 10-jun 11-jun 12-jun 13-jun 14-jun 15-jun 16-jun 17-jun 18-jun 19-jun 20-jun 21-jun 22-jun 23-jun 24-jun 25-jun 26-jun 27-jun 28-jun 29-jun 30-jun
212
1995
1996
1997
-1.23% 1.01% 1.30% -0.04%
0.19% -0.31%
0.16%
1.12% 0.42% -0.44% 0.63% 0.51%
0.09% 0.26% -0.99% 0.80% 0.49%
-0.60% -1.59% -0.57% 1.46% -0.13%
-0.40% -0.77% 0.61% -0.32% 1.47%
1.04% -0.62% -1.57% -0.55% -2.57%
-0.27% 1.53% -0.51% -1.36% -1.14%
-0.15% -0.83% -1.76% 0.33% 1.47%
0.72% 1.04% 2.26% 3.10%
-1.12% -1.32% -1.00% 0.71% 1.06%
0.40% -0.63% -0.30% -0.29% -0.14%
0.12% 0.32% 0.86% 0.55% 1.40%
1.02% 0.40% 0.30% -0.66% 0.60%
0.02% -0.51% 0.38% -0.71% 0.74%
0.07% 0.20% 0.38% 0.47% -0.04%
-0.19% 0.39% 1.53% 1.68% -0.01%
0.46% 0.78% -1.18% 0.45% 1.43%
-0.67% -0.07% 0.37% 1.23% 0.81%
2.56% 0.95% 0.26% -0.40% -0.23%
0.88% 2.06% 3.37% 2.22% 1.79%
0.89% -0.10% 0.60% -1.04% 3.70%
4.01% -2.12% -1.94% 0.11% -0.04%
0.05% -2.56% 0.98% 1.81% 0.61%
0.43% 0.26% -1.52% 1.91% 0.16%
-0.43% 0.15% -0.10% 0.71% -0.15%
-0.88%
1998
0.76% -1.47% 0.20% -1.97% 0.16%
-0.28% 0.12% -0.82% 1.38% -1.22%
-1.57% 0.69% -1.90% -0.96% 1.29%
0.75% -0.77% -1.38% 2.23% 0.89%
-0.51% -0.85% -0.32% -0.21% 1.69%
-0.82% -0.92% -1.17% -1.32% -0.70%
-3.29% -0.50% 2.03% -2.01% 0.26%
-0.40% -0.41% -0.72% -0.21% -0.42%
0.92%
1999
0.01% 1.26% 0.55% 2.40% -0.49%
0.71% 0.72% -2.18% -0.07% 0.23%
-0.80% 0.93% -1.90% 1.06% 0.22%
-0.35% -1.11% 0.05% -1.50% 0.57%
1.10% -0.08% -0.13% 0.52% 0.02%
0.65% 0.67% 0.68% -0.47% 0.16%
-0.51% -0.14% -0.65% -1.07% -0.06%
0.20% -0.35% -0.45% 0.05% 0.01%
2000
2001
2002
2003
1.57% -0.87% -1.94% -0.60%
0.68% 0.19% 0.85%
-0.60% 0.15%
1.63%
-1.32% -0.05% -1.16% 0.06% 0.18%
-0.11% 0.93% -1.03% -0.61% -3.43%
-1.03% -1.79% -1.95% 2.04% -1.99%
1.46% 1.12% 0.02% 0.78% 2.03%
0.20% 0.27% -1.29% -0.26% 0.01%
0.23% 0.19% -0.58% -0.56% -0.04%
0.39% 0.09% -0.90% 0.06% -0.82%
0.06%
-0.23% 0.92% 0.79%
1.20%
0.48%
-0.35% 0.81% 0.69% 1.62% 0.24%
-0.16% 0.31% 0.62% 1.06% 1.55%
0.70% 0.57% 0.35% -0.06% 1.12%
-0.30% 0.57% -1.72% -0.13% 1.27%
3.71% 2.97% -0.68% 0.33% -0.49%
-0.51% -0.86% -0.53% -0.85% 0.19%
-1.52% -0.09% 0.11% -0.25% 0.05%
0.06% -0.17% -0.36% 0.42%
-0.15% -1.17% -0.33% 0.04% -0.83%
0.46% 0.28% 0.36% 0.76% 0.32%
-0.64% -0.15% -0.37% 0.39% -0.39%
-0.08% 0.98% 0.25% -0.69% 0.01%
0.37% -0.50% -0.55%
0.74% -0.37% -1.30% 0.53% 0.28%
0.01% -0.51% -0.38% 1.09% 1.15%
-0.59% -0.33% -0.84% 0.43% 0.19%
-0.25% 0.36% -0.63% 1.05% 0.02%
0.40% 0.04% 0.66% 0.84% 1.19%
-1.45%
-1.03% -0.28% -0.54% -0.55% -0.03%
0.54% -0.16% -0.45% -0.01% -1.96%
-1.23% -0.48% 0.18% -0.66% -0.04%
-0.21% -1.34% 0.96% 0.50% 0.00%
-0.91% -1.00% 0.36% -0.92% 1.72%
-0.78% -0.67% 0.42% -0.07% -0.13%
-0.09%
2004
-0.63% 1.60% 1.49% -1.08% -1.61%
-0.57% -2.09% -2.12% -0.05% 1.20%
-1.10% 0.80% 2.71% -0.01% 1.36%
0.64% 0.74% 0.65% 1.00% 0.25%
0.42% 0.43% -0.37% -0.80% 0.02%
0.95% -0.17% -0.73% -0.79% -0.28%
-0.61% 0.92% -0.58% -0.19% 1.14%
-0.18% -1.41% -0.01% 0.98% -0.03%
2005
2006
2007
2008
0.45% -1.41% -1.56% 0.46% 0.37%
0.58% -2.48% 0.68% 0.96%
0.12% 1.19% 2.53%
0.01%
-0.37% -0.60% -0.43% -2.45% -1.75%
0.09% 2.04% 1.74% 0.25% 0.54%
0.19% -0.39% 0.20% -0.25% 0.65%
0.40% 0.40% 0.91% 1.59% 1.22%
0.22% -0.74% -0.53% -0.81% 0.25%
-0.14% -0.80% 0.47% 1.02% 0.66%
-0.08% -0.19% 0.36% -0.57% 0.11%
2.29% 2.65% 1.81% 1.98% -0.95%
-1.41% -0.76% -2.50% -1.79% -0.86%
0.46% 3.71% -1.45% 1.23% 1.07%
-0.67% -1.96% -1.30% 2.57% 4.11%
0.65% -2.01% 2.15% -1.32% 1.89%
-0.41% -1.31% 0.15% 2.39% 0.41%
-0.55% -0.77% 0.30% 0.50% 0.29%
0.21%
0.48% -0.47%
0.76% -0.79% 0.75%
0.14%
-0.07%
2.84%
3.21% 1.48% 2.23% -0.11% -0.02%
-2.88% -0.59% -2.78% -0.38% 2.32%
0.48% -2.34% 0.92% -1.97% -0.37%
-2.38% -3.25% -7.59% 8.55% 3.00%
0.87% 2.04% -1.32% -0.85% -0.43%
1.31% -0.03% 2.09% 2.01% 1.07%
0.14% -0.01% -0.16% -0.26% 0.20%
0.58% -0.24% -0.10% 0.78%
-0.17% 0.09% -0.30% 0.07% -0.28%
0.52% 0.60% 1.14%
0.51% -0.22% -0.30% -1.98% -1.26%
0.55% -0.94% 0.09% -1.10% 1.30%
0.75% 0.05% -0.86% -0.78% -0.03%
-0.47% -0.98% -0.51% -1.36% 0.41%
0.67% 0.56% 0.79% -0.58% 0.44%
-0.47% -0.99% 0.13% -1.12% -0.35%
-0.26%
2009
2.40% 2.55% 3.72% -0.42% 6.02%
-0.10% 3.78% -1.18% 1.64% -0.10%
-0.29% 2.42% 1.45% -1.10% 1.99%
-0.29% 3.46% -0.59% 1.22% 3.40%
4.57% 1.82% -3.30% 3.49% -1.26%
-0.61% 1.40% -0.70% -1.11% -0.74%
-2.54% -1.87% -2.42% 1.36% 0.34%
-5.32% 1.45% 2.97% 2.36% -0.83%
-0.99%
2010
-0.36% -3.33% -0.11% -1.76% -0.84%
3.86% 0.55% 0.46% -0.56% -1.92%
-1.98% 0.20% -1.77% -3.05% 2.50%
0.13% -2.21% 0.55% 2.12% -0.97%
-0.12% -1.50% -0.19% -0.76% -2.24%
-2.27% 0.88% 1.84% 2.04% 0.44%
0.44% 1.00% -0.22% -0.33% -0.01%
0.60% -0.62% -0.60% -0.92% 0.55%
2011
2012
2013
2014
-0.52% -0.25% 6.12% -0.19% 5.48%
-1.31% -1.45% 0.37%
0.55% 1.17%
0.28%
-0.79% -2.17% -1.87% 3.61% 2.78%
-0.12% -0.38% 0.46% -0.16% -1.00%
-1.54% 1.39% 1.02% 2.82% -1.08%
-5.17% 1.64% -5.95% 7.16% -2.34%
-12.45% 6.97% 3.52% 1.81% -1.39%
-0.31% 0.39% -2.57% -1.65% 0.43%
-0.83% -2.60% -0.37% -0.71% -0.09%
-0.27%
-0.81% -0.65%
-1.23%
0.85%
-0.77% -2.61% 0.73% 0.99% -0.47%
-1.88% -1.81% -0.07% -1.13% -0.58%
0.87% 0.22% -0.92% 0.49% 0.52%
0.51% 0.85% -0.72% 0.59% -1.41%
-0.61% 0.39% 1.76% 0.01% -0.30%
-0.25% -0.09% -0.36% -0.53% -0.33%
0.39% 0.30% -0.31% -1.34% 0.37%
-0.40% -0.27% -0.18% -0.63%
0.31% -1.68% 0.96% 1.35% -0.06%
1.10% -2.40% -2.48% -4.16% 0.77%
0.82% 0.40% -0.06% -0.75% -0.94%
-0.22% -0.97% -0.92% -0.08% -0.30%
-0.49% 0.58% -0.64% -0.28% 1.25%
0.20% -2.68% 0.30% 3.72% 0.55%
1.27% 0.41% -0.91% -4.92% -0.74%
-2.43% 0.51% -1.27% 0.21% 2.52%
0.41% -0.20% 0.46% 1.11% 0.19%
1.46% -1.84% -0.36% 0.21% -0.26%
-0.51% 0.03% -0.22% 0.64% 0.30%
-0.03% -0.09% -0.68% 0.06% 0.52%
-0.08% 0.09% -0.55% 1.54% 0.30%
0.59% 0.01% 0.15% 1.00% -0.16%
0.27% 0.43% 0.56% 1.51% -0.14%
-0.03% -0.88% 0.02% 0.36% -0.35%
1.01%
2015
1.71% 0.33% -0.16% -0.52% -0.23%
0.69% 0.10% 1.07% 0.02% -0.02%
-1.20% -0.90% -0.03% -0.98% 0.34%
0.28% -1.29% -0.52% 0.00% -0.06%
-1.00% 1.35% -1.03% -0.27% -0.01%
-0.51% -0.30% 0.45% 0.02% 0.12%
-0.48% -0.48% 1.31% 0.22% 0.28%
0.50% 0.37% 0.47% -0.90% 0.73%
2016 0.32% -1.46% -2.05% -0.04% 0.53%
-1.41% 2.34% 0.73% -0.19% 0.87%
0.88% -0.28% -1.15% -1.10% 0.01%
0.60% -0.44% 0.39% 0.66% -0.21%
0.39% -0.51% 0.15% 0.77% 2.12%
0.00% -0.35% 0.07% 0.51% -1.46%
-1.12% -1.31% 1.88% -0.51% 0.14%
0.00% -0.07% -0.14% 1.14% -2.06%
-0.69% 1.04% -1.29%
2.39%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos BVL 1995 01-jul 02-jul 03-jul 04-jul 05-jul 06-jul 07-jul 08-jul 09-jul 10-jul 11-jul 12-jul 13-jul 14-jul 15-jul 16-jul 17-jul 18-jul 19-jul 20-jul 21-jul 22-jul 23-jul 24-jul 25-jul 26-jul 27-jul 28-jul 29-jul 30-jul 31-jul 01-ago 02-ago 03-ago 04-ago 05-ago 06-ago 07-ago 08-ago 09-ago 10-ago 11-ago 12-ago 13-ago 14-ago 15-ago 16-ago 17-ago 18-ago 19-ago 20-ago 21-ago 22-ago 23-ago 24-ago 25-ago 26-ago 27-ago 28-ago 29-ago 30-ago 31-ago
213
0.13% 0.09% 1.32% 0.63% 1.38%
0.12% -0.30% -0.39% 0.36% 0.47%
0.91% -0.11% -1.35% -1.06% 0.17%
-0.34% -0.13% 0.69%
0.52% -1.50% -0.51% -0.74% -0.33%
-0.30% 0.23% -0.22% -1.62% 0.02%
-0.61% 0.19% 2.17% 2.25% -0.29%
-0.28% 0.35% 0.32% -0.60% -0.30%
-0.41% 0.68% 0.34%
1996 2.95% 2.07% -1.86% 0.99% 0.83%
0.38% 0.27% -0.73% -0.63% 0.29%
-0.06% -3.20% 1.81% 0.81% -0.37%
-1.13% 0.24% -0.30% 0.33% 0.41%
-0.45% -0.63% 0.43% 0.95%
0.05% -0.65% 0.17% -0.96% 0.60%
0.36% -0.21% 0.27% 0.13% 0.80%
-0.30% -1.07% -0.25% 0.03% 0.76%
0.53% 0.19% 0.71% 0.11%
1997 1.46% 1.36% 0.55% 0.87%
0.40% -0.86% 0.51% 0.91% -0.27%
-1.60% -5.64% 1.01% 2.43% -2.65%
-0.93% 0.34% -1.75% -1.69% 3.45%
1998 0.03% 0.49% -0.06%
-0.13% 1.89% 1.79% -0.15% 0.39%
0.88% 0.83% 0.05% -1.37% 0.65%
-1.28% 0.43% -0.50% 0.05% 1.04%
1999 0.59% -0.34%
-0.37% 0.45% 0.35% 0.55% -0.07%
-1.52% -0.70% 0.91% 0.46% 0.18%
-1.23% -0.42% -0.36% -0.38% 0.22%
-0.12% 0.58%
-0.27% -2.11% -1.91%
0.14% 0.23% 0.86% 1.23% -0.53%
0.39% -0.25% -0.81% -1.15% 0.10%
-1.73% 0.09% 0.57% 0.40% -1.09%
0.04% -1.22% 1.21% -0.22% -0.16%
-0.28% -0.33%
-1.73% -1.13% -0.35% -0.68% -1.12%
-1.15% -3.94% -1.33% 0.59% 1.71%
-1.81% 0.48% 0.13% -1.87% -3.98%
-2.76% 0.86% -3.47% -5.19% -0.39%
-2.69%
-0.78% -1.43% -0.09% 1.11% 0.41%
1.06% -1.17% 1.62% -0.67% 0.51%
-1.16% 0.13% -0.38% 0.44% 0.90%
-0.38% 0.79% -0.47% -0.45% 0.01%
0.32%
2000
-1.28% -2.20% -0.21% -2.28% 1.06%
1.00% -0.85% -1.49% 0.77% -1.13%
-0.35% -0.60% -1.14% 0.08% -1.06%
-1.18% 0.14% 0.54% 1.07%
0.02% -0.24% -0.02% -0.57% 0.76%
-0.78% -0.21% -0.47% 1.18% 1.00%
3.49% 1.42% 1.43% -1.08% -0.02%
0.65% -0.76% -0.13% -0.27% 0.09%
2001 -0.07% -0.23% -0.09% -0.49% -0.63%
0.73% -1.05% -0.29% 0.02% 0.11%
-0.46% 0.55% -0.50% 0.51% 0.10%
-0.16% -0.50% -0.77% 0.84% 0.61%
0.65% 0.45% 0.83% 0.67%
-0.04% -0.29% -0.46% -0.45% 0.15%
0.52% -0.03% 0.40% 0.02% -0.26%
-0.44% 0.09% -0.03% 0.28% 0.70%
0.18% -0.06%
-0.23% -0.78% -0.41%
0.33%
-0.45%
2002 -0.25% -1.42% -0.55% 0.17% 0.93%
0.46% 0.67% -0.38% 1.50% -0.12%
0.28% 0.54% 1.23% 0.90% -0.34%
0.90% -0.59% 0.37% -0.41% 0.08%
-0.90% 0.04% -0.14%
-1.58% 0.58% 0.04% 0.85% 0.70%
-0.14% -0.56% 0.42% 1.10% 0.70%
0.71% -0.16% -0.31% 0.47% -0.42%
0.03% 0.28% -0.86% 0.44%
2003 0.37% 0.35% 0.39% -0.09%
0.35% -0.33% 0.47% -0.40% -0.25%
0.18% -0.35% -0.45% -0.34% -0.21%
0.58% 0.31% 0.11% 0.13% 0.89%
2004 -0.28% 0.08%
0.65% -0.90% 0.83% 0.04% -0.03%
-0.49% -0.53% 0.57% 0.00% 0.04%
-0.76% -0.77% -0.23% -0.25% -0.49%
-0.50% -1.12%
-0.36% 0.05% 0.17%
0.57% 0.29% 0.18% -0.21% 0.28%
0.57% -0.35% 0.03% 0.39% -0.51%
-0.07% 0.57% -0.27% 0.30% 0.34%
-1.03% -0.34% 0.76% 0.42% 0.42%
2005 -0.61%
0.05% 0.71% 0.43% -0.27% 0.99%
1.31% -0.22% -0.28% 0.66% -0.32%
-0.01% -0.14% 0.67% 0.41% 0.79%
-0.22% 0.04% 0.24%
2006
1.63% 1.25% 0.77% 0.83% 0.08%
0.29% 1.93% 0.94% -0.58% 1.16%
-1.95% -2.18% 1.41% -0.57% -0.72%
0.07% 2.07% 1.40% 0.22%
2.09%
0.44% -0.44% -0.19% -0.20% -0.47%
-0.55% 0.41% 0.02% -0.35% 0.93%
0.76% -0.08% -0.55% 0.24% 0.10%
-0.81% 0.71% 0.71% 0.21% 0.04%
-0.03%
2.30% 1.44% 1.86% -0.41% -0.41%
-0.06% 0.59% 0.90% 1.23% -0.91%
0.62% 0.69% 0.08% -0.08% 0.12%
1.66% -0.72% 0.33% -0.06% 1.48%
2.97% -0.26% 0.78% 0.07% 2.96%
-0.08% 0.13% -1.23% 0.24% 2.39%
2007 1.08% -0.07% 0.72% 0.45% 0.34%
0.60% -0.99% 0.36% 1.24% 1.39%
0.81% -0.13% -0.49% 0.19% 0.04%
-0.02% 0.68% -0.70% -1.54% -0.36%
-0.14% 1.18% -1.54% -0.06% -0.41%
-1.69% 0.99% 1.19% -1.79% -1.89%
0.30% -2.95% -2.91% -6.89% 5.64%
1.22% -0.91% 0.38% -0.17%
-1.04% 0.52% 2.82% -0.73% 0.39%
0.02%
0.52% 0.06% -0.64%
-0.51% -2.49% 0.62%
0.49%
1.65%
1.44%
1.15% -0.45% -0.60% 0.20% 0.42%
2008 -0.76% -2.77% -3.73% -0.63%
-0.57% -3.49% 1.11% 1.59% -0.76%
2.00% -2.64% -1.98% -0.86% -2.00%
-0.89% -1.69% -0.57% -1.52% 0.58%
2009 1.40% -1.36% -1.25%
-1.57% -0.95% -2.01% 2.98% -0.73%
1.20% 0.90% 1.96% -0.34% -0.01%
1.68% 0.29% 0.09% 3.16% 0.56%
2010 -1.07% -0.08%
-0.74% 0.09% 0.20% 0.40% 1.22%
-0.23% 0.74% 0.08% 0.07% -1.14%
-0.52% -0.06% -0.11% 1.66% 0.73%
0.52% -0.32%
0.30% 2.79% 0.39%
-2.43% -1.60% 0.39% -0.57% -3.98%
-3.07% -3.46% 1.67% -1.62% -1.54%
0.97% 1.62% 2.14% 3.06% -1.21%
1.21% 2.06% 3.59% -0.81% 0.14%
0.40% 1.42%
3.72% 0.33% -1.26% -4.25% 0.16%
-0.38% -0.02% 1.76% 1.81% -0.71%
-1.79% 0.63% 0.69% 0.75% 0.63%
-0.55% -0.40% -1.00% 1.16% -0.61%
-1.39%
2011 1.74%
0.84% 0.03% 0.44% 2.08% 0.27%
-0.77% 0.85% 1.45% -0.19% 0.81%
4.62% 3.19% 0.97% -0.05% -0.52%
0.13% 1.04% -1.54%
0.68%
1.72% 1.14% 0.91% -0.50% -0.32%
1.05% 0.16% -1.43% 0.98% -0.05%
0.44% 0.48% 0.23% -0.69% 0.04%
0.19% -0.39% 0.62% 0.26% 0.87%
0.31%
-0.09% -1.06% -0.89% -5.56% -0.79%
-7.09% 2.57% -1.27% 3.74% 1.31%
0.65% -1.47% 1.05% -2.32% -0.71%
0.05% 0.52% 0.07% -0.14% 1.65%
2012 2.17% 0.64% -0.28% -0.27% -0.29%
-0.82% -1.03% -0.67% -0.67% 0.76%
-0.20% -0.17% 0.27% 0.13% -0.46%
-1.34% -1.10% 0.04% 0.66% 0.75%
-0.66% -0.33% -0.89% -0.87% 2.32%
0.04% 0.08% 0.08% -0.11% 0.30%
-0.35% 0.49% 0.06% 0.89% 0.42%
0.01% 0.98% -0.05% -0.58% 0.19%
1.13%
0.25% -0.17% -0.16%
3.38%
0.56%
2013 0.47% -0.83% -0.27% -0.23% -1.52%
-0.19% -1.67% -1.72% 2.13% 0.39%
0.06% 0.75% 1.25% -0.05% 0.65%
0.69% 0.63% -1.34% -0.50% -0.16%
-1.23% -0.03% 1.26% -0.07%
-0.20% -1.46% 0.25% 0.96% 2.70%
3.95% 0.66% 0.85% 0.05% 0.10%
0.15% 0.79% -0.39% -0.11% 1.02%
0.54% -2.07% 0.09% 0.79%
2014 0.34% 0.29% 0.82% 0.49%
0.08% 0.48% 0.71% -0.38% 0.09%
-0.50% -1.20% -0.06% -0.06% 0.17%
0.42% 0.38% 0.16% -0.38% 0.32%
-0.82% -0.10% 0.33%
0.05% -0.84% 0.66% -0.22% -0.29%
0.18% -0.04% -0.22% 0.03% -0.28%
1.15% 0.02% 0.08% 0.06% 0.33%
-0.04% -0.51% 0.50% 0.03% -0.12%
2015 -0.18% -0.28% 0.02%
-1.21% -0.46% -1.11% -0.26% 0.31%
0.54% 0.20% -0.53% -0.25% -1.40%
-2.09% 0.37% -0.54% -1.55% -0.65%
2016 0.80%
0.48% -1.74% 0.13% -0.24% 2.01%
0.69% 0.55% 0.57% 1.02% -0.29%
0.91% 0.16% 0.08% 1.36% -0.10%
0.02% 0.94% 2.06%
0.00% 0.16%
-1.90% -0.62% 0.29% -0.46% -0.50%
1.43% -1.36% -0.26% -0.62% -5.25%
-1.57% -0.46% -1.21% -0.81% -2.67%
-4.33% 0.31% -0.13% 4.99% 2.19%
1.03% -0.22% 0.47% 0.33% -0.39%
-0.61% -0.44% 0.94% 0.43% -0.44%
0.39% -0.31% -0.07% 0.99% 0.40%
-0.22% -0.11% -1.48% -0.24% -0.34%
1.14% -1.35%
-1.71%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos BVL 01-sep 02-sep 03-sep 04-sep 05-sep 06-sep 07-sep 08-sep 09-sep 10-sep 11-sep 12-sep 13-sep 14-sep 15-sep 16-sep 17-sep 18-sep 19-sep 20-sep 21-sep 22-sep 23-sep 24-sep 25-sep 26-sep 27-sep 28-sep 29-sep 30-sep 01-oct 02-oct 03-oct 04-oct 05-oct 06-oct 07-oct 08-oct 09-oct 10-oct 11-oct 12-oct 13-oct 14-oct 15-oct 16-oct 17-oct 18-oct 19-oct 20-oct 21-oct 22-oct 23-oct 24-oct 25-oct 26-oct 27-oct 28-oct 29-oct 30-oct 31-oct
214
1995 -0.02%
-0.52% 0.38% -0.18% -0.20% 0.48%
0.25% -0.56% -0.88% -0.94% -0.72%
-0.64% -0.96% -0.83% -0.61% -1.65%
-0.67% -1.50% -0.36% -0.18% 2.26%
1.24% -0.64% -1.18% 0.25% -0.80%
1996 -0.60% -0.04% 0.75% 0.59% -0.10%
-0.12% 0.00% 1.02% 1.76% 1.76%
1.96% 0.84% -0.66% 0.94% 1.59%
-0.26% -0.91% 2.20% 1.58% -0.53%
0.20% -0.34% -1.20% -1.19% -0.58%
0.62% -0.30% -1.20% -0.04% -0.72% 0.59%
0.98% -0.30% 0.83% -0.57% -0.40%
-0.74% -2.09% -1.73% -3.07% -0.63%
4.85% -1.22%
-0.17% -0.48% -0.59%
-0.18% 0.89% -0.36% 0.34% 0.73%
-0.06% -0.82% -0.86% 0.08% 0.54%
0.28% -1.03% -1.26% -1.24%
1997 -0.62% 1.15% -0.99% 0.04% 2.16%
0.00% -0.51% -0.73% -0.53% -1.01%
-1.02% -0.32% 1.60% 0.81% -0.01%
1.02% 0.08% -0.89% 0.63% 0.99%
0.11% -0.16% 0.40% 1.66% -0.48%
-1.19% -0.09% -0.54% -0.19%
-0.46% 0.50% -0.67% 0.29% -0.42%
-0.27% -0.31% 0.80% -2.00% 0.22%
-6.44% 2.03% 1.04% -1.59% 0.31%
1998 -2.09% 5.29% -0.99% -0.83%
3.22% 0.39% 0.03% -4.59% -1.46%
-0.33% 2.72% -2.41% -3.00% -2.12%
-2.10% 0.27% 4.78% 2.33% 1.05%
1.36% -1.32% -1.04% -1.53% 1.66%
-3.81% -1.31% 1.33%
1999 0.74% 0.68% 0.45%
1.34% 0.39% -0.06% 2.67% 2.89%
0.39% 0.04% -0.17% 0.97% -0.33%
-0.36% 0.06% 0.11% 0.09% -0.82%
0.50% 1.12% 0.65% 0.24% -0.70%
0.18% -0.05% 0.81% 0.09%
-0.31%
1.79% -0.01% 1.26% 1.62% 0.37%
0.68% 0.07% -0.90% 0.49% 0.86%
-0.74% -2.13% -0.31% -0.10%
-0.26% -0.03% 1.25% -1.56% -1.30%
-0.34% 0.12% -1.33% -0.02% 0.57%
-1.11% -0.97% 0.66% 0.03% 0.71%
2000 1.73%
-0.05% 0.23% 0.28% -0.14% 0.45%
0.02% -0.08% -0.36% -0.51% -1.63%
-5.72% 1.15% 1.21% 1.27% -0.78%
-0.56% -1.48% -0.58% -1.17% 1.16%
-0.15% 0.18% 0.44% 0.09% -1.89%
-0.99% 0.30% -0.74% -1.04% 0.38%
-0.49% -1.10% -1.63% 0.96% 0.23%
-2.34% 0.62% -0.53% 0.07% -0.01%
0.03% 1.16%
2001
-0.94% 0.10% -0.12% -0.67% -0.29%
0.92% -3.60% 0.11% 0.26% 0.13%
0.14% -1.30% -0.50% -2.51% -2.42%
1.75% -0.03% 0.15% -0.93% 0.78%
0.12% -0.94% -0.89% -0.68% -1.75%
2002 -0.43% -0.26% -0.11% -0.20% -0.88%
0.04% 0.17% 0.67% -0.26% -0.32%
0.07% -0.43% -0.85% 0.41% -0.57%
-0.84% -0.29% 0.20% 0.02% 0.33%
-0.31% 0.76% -0.35% -0.45% 0.36%
2003 -0.41% 0.23% 0.04% 0.46% 0.55%
0.91% 0.49% -0.03% 0.37% 0.79%
-0.54% -0.37% 0.02% 0.29% 0.61%
1.63% 0.47% -0.33% -0.89% -0.69%
1.10% -0.33% 0.12% 1.03% 1.22%
0.67% 0.40% -2.87% -0.25% 0.75% -0.56%
0.71% -0.03% 0.68% -0.48% -0.60%
0.74% 1.18% -0.20% -0.07%
-0.48% -0.82% -0.15%
-0.63% 1.16% 1.12%
0.14% 0.75% -0.09% -0.25% 0.08%
0.57% 0.26% 0.81% 0.88% 0.30%
-0.30% 0.01% 0.78% 1.10%
2004 -0.27% 0.03% 0.19%
0.23% 0.24% 0.34% 0.18% 1.67%
0.43% 0.76% 1.47% -0.52% 0.60%
-0.30% 0.58% 0.68% 0.00% 0.54%
2.17% -0.17% 3.58% 1.69% -1.02%
0.08% 1.58% 1.74% 0.17%
0.84% -0.12%
0.95% 0.12% 0.29% 0.55% -0.66%
0.14% -0.02% -0.03% -0.31% -0.05%
-0.04% 0.53% 1.01% 0.19% -0.52%
2.76% 0.88% -1.94% -1.19% 1.57%
0.79% 1.15% 1.74% -0.09% -0.88%
0.19% 0.37% -0.31% -0.70% 1.07%
2005 1.11% 0.03%
0.60% 0.70% 0.34% 0.86% 0.89%
1.25% -0.64% 0.09% 0.58% 0.11%
0.02% 0.46% 0.66% -0.09% 0.77%
0.41% 0.16% 0.43% 0.10% 0.69%
0.62% 0.45% -0.46% -2.03% 1.11%
-0.21% 0.71% -0.42% -1.30% -0.46%
0.74% -0.38% -0.63% -0.34% -0.07%
1.08% 0.46% -0.17% -3.47% -0.85%
-0.48%
2006 1.82%
0.75% 1.13% 0.21% 0.01% 0.46%
-1.46% -0.58% 0.53% -1.10% -0.66%
1.11% -0.48% -0.88% 0.47% 0.27%
-0.29% 1.15% 0.88% 0.03% 0.42%
-0.57% -1.56% -2.46% 1.63% 0.61%
-0.26% -0.06% 1.42% 1.14% 1.08%
1.92% 0.21% 0.93% 0.26% -1.06%
-0.72% -0.04% 0.87% -0.52% 0.78%
-0.39% -0.20%
2007
0.04% -0.81% -2.51% 0.50% -3.03%
-4.25% 3.16% 0.70% 1.19% -0.80%
-0.55% 3.33% 4.14% -1.13% 1.69%
1.13% -0.13% 1.35% 1.52% -0.54%
0.62% -0.89% -0.03% -0.09% 0.80%
2008 0.13% -0.03% -0.50% -2.13% -2.30%
-1.40% -2.67% -0.54% -0.13% 1.90%
-2.42% -3.35% -3.59% -2.62% 8.79%
0.03% -1.71% -0.52% 1.59% -0.62%
-4.90% 1.17% 0.34% -4.42% -0.09%
-9.27% -4.16% 0.56% -8.77% 0.65% -10.81% 1.02% 1.12% 13.67% 5.46% 0.13% -8.56% -1.29% -7.17% -0.04% 1.89% -0.91% -1.13% 3.07% -3.19% -2.14% -9.40% 0.71% -4.39% -1.03% -6.66% 0.29% 1.66% -5.33% 0.25% 1.04% 7.84% -1.20% 4.17% -0.35% 3.74%
2009 -1.48% 0.12% 2.33% 0.56%
-0.13% 1.30% -0.54% 1.12% 0.69%
0.94% -0.64% 2.34% 0.46% 1.22%
0.04% 2.07% -0.23% -2.25% 0.14%
-0.47% -0.02% 0.74% -2.09% -1.01%
1.21% 1.95% -0.28%
2010 1.09% 0.32% 1.30%
1.12% 0.28% 0.49% -0.20% 2.01%
2.39% -0.09% 0.24% 0.58% 0.38%
1.02% 1.60% 1.17% -0.94% 0.68%
0.69% 0.81% 0.76% 0.89% 1.64%
0.05% 3.51% 0.72% -0.46%
2011 0.14% -1.37%
-1.64% -0.88% 1.02% -0.28% -0.85%
0.17% 0.21% 1.00% 1.22% 0.72%
-1.22% -0.08% -1.83% -4.62% -1.04%
-0.64% 2.35% -3.09% -0.58% -0.58%
-2.67% -2.92% 1.30% 1.15% 0.09%
2.39%
0.83% -0.99% 0.28% -0.13% -0.14%
-0.58% -1.18% 1.19% 0.98% -0.25%
-1.18% -1.78% -3.84% 2.35% -3.76%
0.97% -0.22% 2.39% 0.25% -1.06%
-1.83% -3.03% 2.23% -1.54% 1.50%
0.75% 0.71% -0.26% 0.00% 1.21%
2.87% -0.01% 1.57% 0.37% 1.47%
-0.92% 1.42% -1.17% -1.06% 1.56%
3.23% -0.82% 0.18% 3.46% 0.16%
-2.07%
2012
-0.20% -1.41% -0.04% 0.92% 1.65%
0.21% 0.88% 1.35% 2.08% 2.41%
-0.86% -0.70% 0.53% -0.13% 0.87%
-0.46% -0.17% -0.75% 0.70% -0.28%
-1.12% 1.16% 0.40%
2013 0.37% 1.28% -0.60% -0.35% 1.19%
0.06% 0.90% -0.76% -2.95% -0.33%
1.22% -2.70% -0.26% 1.56% -1.77%
-0.44% -0.85% 0.61% -1.24% 0.89%
-0.16% -0.81% 0.16% -1.07% -0.75%
0.13% -1.19% -0.51% 0.59% -0.53%
-0.29% 0.58% 0.27% -0.24% -0.16%
-0.19% -1.10% -0.52% -0.22% -0.20%
-0.24% 0.16% -0.78%
-0.25% -0.15% -0.18%
0.04% 0.23% 0.24% 1.25% 0.99%
0.16% 2.32% -0.54% 0.16% -0.17%
0.24% 0.98% -0.51% 0.07%
2014 0.08% -0.06% 1.20% -1.03% 1.11%
0.11% -0.63% -0.87% 0.51% -0.88%
0.51% 0.37% -0.42% -0.55% 0.20%
-1.02% 0.11% -0.38% -0.62% -0.12%
-0.20% -2.06% -1.61% -1.44% 0.03%
-0.25% -1.80%
2015 -1.34% -0.09% -0.16% -0.86%
0.25% 0.52% -0.28% 1.24% 0.47%
-0.45% -0.40% 0.89% -0.09% -0.29%
0.02% -1.72% -0.55% -0.64% 0.07%
-1.52% 0.57% 1.38% 0.84% -0.42%
3.32% 0.89% 0.72%
0.23% 0.60%
0.34% 0.09% 1.30% 0.47% 1.52%
-1.96% -0.28% 0.16% 1.25% 0.26%
-0.99% 0.78% 0.12% -1.21% -0.99%
0.36% 0.35% 1.03% -0.03% -1.03%
-0.46% 0.30% -0.54% 0.75% 1.37%
-0.14% -0.94% 0.11% -0.95% -0.42%
2016 0.84% 1.38%
0.62% 0.80% -0.27% -0.15% -1.48%
0.27% -1.47% 0.03% 0.07% -1.15%
0.44% 0.26% 0.87% 0.54% -0.85%
-0.76% -0.88% 0.98% 0.36% 0.13%
-0.33% -1.15% -0.01% -0.44% 0.37%
0.06% -0.41% 0.39% -0.53% 0.18%
-0.12% 1.21% 0.79% 0.11% -0.44%
-0.41% 0.43% 0.06% -0.46% -0.56%
0.46%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos BVL 1995 01-nov 02-nov 03-nov 04-nov 05-nov 06-nov 07-nov 08-nov 09-nov 10-nov 11-nov 12-nov 13-nov 14-nov 15-nov 16-nov 17-nov 18-nov 19-nov 20-nov 21-nov 22-nov 23-nov 24-nov 25-nov 26-nov 27-nov 28-nov 29-nov 30-nov 01-dic 02-dic 03-dic 04-dic 05-dic 06-dic 07-dic 08-dic 09-dic 10-dic 11-dic 12-dic 13-dic 14-dic 15-dic 16-dic 17-dic 18-dic 19-dic 20-dic 21-dic 22-dic 23-dic 24-dic 25-dic 26-dic 27-dic 28-dic 29-dic 30-dic 31-dic
215
1996
-2.04% 0.16%
-1.29% -2.34% -3.99% -5.77% 5.36%
-1.63% -2.55% 0.72% 2.06% 3.56%
0.34% -0.08% 1.18% 0.22% 3.32%
1.01% 0.84% -1.03% -0.30% -0.74%
-1.33% 0.25% -0.24% -0.50%
0.68% 0.01% 2.34% 0.77% 0.39%
-0.66% -1.12% 2.01% -0.46% 1.39%
-1.12% -0.67% 0.80% -0.50% 1.51%
-0.13% -0.46% -0.79% -0.10% 0.27%
-1.51% -1.00% 0.10% -0.31% 0.08%
-1.44% 0.06% -0.07% 0.17% 0.61%
0.32% 0.58% -0.42% -0.09% -0.46%
1.36% 0.74% 1.04% -1.22% -1.30%
-1.32% -0.54% -3.09% -2.59% 1.03%
2.39% -1.44% 0.42% 0.04% 1.54%
-1.75% -0.08% 0.06% -0.04% 0.63%
-0.20% 0.54% 0.30% 0.81% -1.28%
1998
1999
2000
-2.68% -0.44% 1.15% -0.92% 2.46%
-0.76% 0.71% 0.24% 0.62%
-0.26% -1.25%
0.24% 1.02% 1.87% 0.55% 3.91%
4.18% 3.17% 0.13% 1.04% 5.02%
4.70% -2.61% -2.44% 1.82% 2.99%
0.51% -1.53% -0.83% -4.59% -1.88%
-1.02% 0.41% -0.08% -1.18% -1.41% -0.89%
0.38% 0.30% -4.14% -0.45% 2.43%
0.65% 0.45% 0.53% -0.25% -0.37% -1.43%
1997
1.25% 0.53%
1.69%
0.09% -1.23% -0.89% 0.13%
-0.41% 0.67% -0.58% -0.33% -0.63%
-0.17% 1.02% 0.88%
-0.56% 1.20% -0.56%
-2.20% -1.67% 0.85% 0.26% -1.71%
0.07% -0.34% -0.79%
0.04% 0.24% 0.84% -1.16% -0.54%
-0.93% 0.18% -0.56% 0.11% -0.23%
-0.51% -0.34% 0.51% -0.40% 0.74%
1.52% 1.17% 0.79% -0.74% -0.22%
-0.55% -0.17%
1.63% 0.34%
-1.95% 0.56% -0.07% -0.93% 0.54%
-0.09% 2.20% -0.22% -0.63% -0.02%
-0.01% -0.42% 0.44% -0.47% 0.33%
-0.39% 0.22% -0.12% -0.12%
-0.10% 0.10%
-0.70% -0.46% 0.19% -0.14% -0.76%
-0.12% 0.80% -0.06% 0.14%
0.07% -0.30% -1.06% 0.00%
-0.44% -0.38% 0.00% -0.83% -1.37%
-0.09% 0.18% 0.64% 2.18%
0.82% -0.47% -0.49% -0.46% 0.32%
-0.20% 0.58% -0.22% -0.76% 0.07%
0.46% -0.09% 1.27%
2001
0.02% -0.74% 1.36% 0.90% -0.29%
-1.07% 0.37% 1.33% 0.72% 0.51%
0.33% -0.63% -1.07% 0.33% 0.83%
0.53% 0.02% 0.06% -0.55% -0.47%
-0.72% 0.01% 1.89% 0.52% 0.27%
-1.09% -0.18% -0.20% -0.79% -0.26%
0.64% 0.25% -0.70% -0.09% 0.69%
2002
0.89% 0.68% 0.77% -0.31% 0.09%
0.90% 0.02% -0.17% 0.67% -0.26%
1.42% -0.59% 0.61% 1.65% 2.51%
0.38% -1.27% 1.50% 0.66% 0.71%
0.73% -0.19% -0.02% 1.09% -0.11%
-0.52% -0.67% 0.12% 2.04% -0.02%
-0.42% 0.16% -0.29% 0.56% -0.35%
2003
0.23% -0.35% -0.03% -0.33% 0.52%
-0.68% -0.45% 1.13% 0.20% -0.10%
-0.37% 0.54% -0.67% 0.19% 0.53%
-0.66% 1.11% 0.76% 0.08% 0.36%
1.94% 1.02% 0.28% 0.69% 0.42%
-0.57% -0.14%
2005
2006
2007
2.58% 1.93% 0.99%
1.23% 0.50%
-1.61%
0.06% 0.02% 0.19% 0.62% 0.23%
-0.17% -0.60% 0.34% -0.67% -0.16%
-0.02% -0.06% 0.76% 0.02% 0.27%
0.73% -0.52% -0.17% -1.36% 0.20%
-0.05% -0.66% 1.70% -1.36% -0.18% 0.08%
1.08% 0.24% -0.14% 1.80% -0.41%
-0.10% 1.36%
-0.47% -0.05% 1.07%
2004 -0.20% -0.20% 0.28% 1.11%
-0.78% 0.09%
0.34% 0.35% 1.14% 0.12% 0.46%
0.22% -0.20% -0.11% -0.23%
1.73%
3.08% -0.69%
0.40% -0.06% 1.15% 1.74%
-0.11% -0.97% 0.07% 0.45% 0.97%
-0.08% -0.17% 0.02% 0.48% -0.10%
-0.21% -0.85% -0.69% -0.02% 1.49%
-0.36% 0.48% -0.31% 1.15% 0.03%
1.00% 0.61% 0.67%
1.49% 1.26% -0.49% 1.59% -1.23%
-0.25% 0.52% -0.08% -0.76% -0.87%
0.63% 0.84% -0.13% 1.08% 1.23%
0.08% -0.85% 0.67% 0.76% 0.46%
0.99% 0.55% 1.16% 0.91%
-1.71% -0.50% -3.31% -2.46% 0.55%
-1.80% -0.14% 2.16% -2.00% -1.17%
-5.28% -4.43% -2.49% 3.24% 1.89%
0.13% -2.15% 2.09% 0.56% 1.75%
1.44% -0.03% 1.12% 1.90% 0.34%
0.48%
-0.68% -0.65% -0.10% -3.27% -4.67%
-6.65% 3.12% 2.94% 1.29% 1.59%
0.32% -2.21% 1.32% 0.02% -0.45%
2.70% 0.36% 0.29% 1.41% 2.63%
2.17% -2.26% -1.57% -1.04% 0.96%
1.07% 1.17% -0.22% -0.05%
-0.39% -0.77% -0.03% -2.71% -2.92%
-4.92% -1.48% 1.86% 1.23% 2.29%
2008
10.53% 8.68% -3.18% -6.72% 5.36%
2.88% -3.71% -3.41% 0.35% -2.08%
-1.91% -1.20% -2.10%
2.61% -2.56% 2.75% 0.25% -0.06%
-3.65% -0.32% -1.15% -0.88% -2.71%
2009
2010
2011
2012
0.13% 0.57% 1.27% 0.65% 0.22%
1.72% 0.41% 3.05% 0.85%
-0.73% 0.48% -1.07%
0.37%
1.04% -0.95% -0.04% -0.67% 0.13%
0.81% -0.79% 0.02% 0.14% -0.12%
0.04% -0.99% 0.74% -1.40% -0.21%
-1.15% 1.04% 0.94% -0.94% -1.05%
-0.58% 5.05% 1.75% 0.24% -1.33%
-1.06% 2.44% -0.50% -2.93% -0.50%
-0.30% 0.54% 0.73%
0.43% -0.69% 0.52% -1.22% -0.34%
-0.06% 1.06% -0.09% 0.03% -1.68%
-0.48% -2.92% 1.80% 1.89% 0.46%
0.16% -1.17% 1.30% 1.60% -0.31%
0.48% 0.24% 2.45% 0.85% 0.48%
0.35% 0.87% -0.49% 0.16%
1.11% -0.24% -0.27% 0.31% -0.03%
-1.22% 0.72% 0.76%
-0.85% -0.61% 1.66% 0.45%
0.26% 1.59% 1.22% -0.13% 0.45%
0.25% 0.03% 0.43%
-0.28% -0.10% -0.07% 1.06%
0.74% 0.43% 0.53% 0.32% 0.52%
-0.03% -0.50% -0.15%
0.11% 0.61% -2.56% 0.62% 1.69%
-0.53% 0.06% 0.88% -1.15% -0.33%
-1.48% 0.93% -0.65% -0.17% -0.09%
1.11% 0.36% 3.51% -0.49% 1.84%
0.11% -0.54% -0.52%
0.54% -0.21% -0.24% 1.09% -0.33%
0.07% 0.04% -2.58% -2.09% -0.25%
1.32% -0.57% -0.44% -0.31% 0.94%
-0.08% -0.57% -0.12% 0.46% -0.60%
1.23% -0.15% -0.30% -0.04% -1.26%
0.00%
-1.26% -0.75% -1.44% 0.43% 0.29%
-1.43% 1.05% -0.05% 0.12% 0.24%
-0.15% 1.20% 0.62% -0.56% -0.06%
0.08% 0.64% 0.86% -0.57% -0.06%
-0.16% 0.15% -0.31% -0.67% 0.61% 0.45%
0.23% 0.11% 0.84%
0.40%
2013
0.99% -0.29% -0.21% -1.20% -1.76%
0.17% -0.35% -1.01% -0.13% 0.10%
-1.07% -1.58% -0.69% -0.52% -0.18%
-0.43% 1.02% -0.08% -0.02% 0.19%
-0.38% -2.47% -0.38% -0.39% 0.09%
2014
-0.90% -0.60% -2.23% 0.57% 1.90%
-0.15% 1.26% -1.04% -0.49% -0.80%
-1.20% 0.53% -0.26% 0.32% 0.98%
0.06% 0.10% 0.00% -0.78% -0.86%
0.51% -0.83% 0.33% -0.90% -1.49%
2015 0.00% 0.75% -0.06% -0.31% -0.07%
-0.25% -0.82% 0.71% -0.52% -0.73%
-0.36% -0.34% -0.20% 1.07% -0.10%
0.08% 0.35% -0.76% -0.01% -1.48%
0.03% 0.73% -1.25% -0.40% 1.13%
-0.60% 0.76% 1.80% 0.23% 0.61% 0.61%
1.84% 1.10% -0.06% -0.84% -0.52%
-0.14% 0.30% 0.48% 0.01%
0.30% 0.71%
0.57% 0.59% -0.44% -1.05%
-1.87% -2.02% 0.13% 1.71% 0.58%
0.22% 0.31% -0.06%
-0.09% -0.95% -0.64%
-1.38% 0.23% 0.28% -0.52% -2.01%
-0.35% 0.68% 1.66% 0.05%
0.87%
-1.03% 1.43% 0.47%
-1.37% 0.87% -0.23% 0.50%
2016 -0.76% -0.35% 1.07%
1.62% -0.48% 0.68% 2.23% -1.70%
-0.25% -0.75% -0.67%
-0.40% 0.33% 0.13% 0.27% 0.54%
0.04% -0.61% 0.73% 0.85% -0.39%
0.75% -0.06% 0.27% -0.13%
-0.82% -0.32% 0.00% -0.32% 0.13%
-0.29% 0.51% 0.90% -0.28% -0.65%
0.13% 0.25% 0.24% 0.51% -0.26%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos S&P 500 1995 01-ene 02-ene 03-ene 04-ene 05-ene 06-ene 07-ene 08-ene 09-ene 10-ene 11-ene 12-ene 13-ene 14-ene 15-ene 16-ene 17-ene 18-ene 19-ene 20-ene 21-ene 22-ene 23-ene 24-ene 25-ene 26-ene 27-ene 28-ene 29-ene 30-ene 31-ene 01-feb 02-feb 03-feb 04-feb 05-feb 06-feb 07-feb 08-feb 09-feb 10-feb 11-feb 12-feb 13-feb 14-feb 15-feb 16-feb 17-feb 18-feb 19-feb 20-feb 21-feb 22-feb 23-feb 24-feb 25-feb 26-feb 27-feb 28-feb 29-Feb
216
0.35% -0.08% 0.07%
0.03% 0.18% 0.00% 0.00% 0.94%
0.73% 0.14% -0.07% -0.59% -0.46%
0.22% 0.01% 0.34% 0.19% 0.44%
-0.40% 0.41% 0.00% 0.51% 1.24%
0.52% -0.07% 0.08% -0.21% 0.26%
0.04% 0.19% 0.41% 0.14% -0.67%
0.16% 0.49% 0.38% 0.25%
-0.88% 0.74%
1996
1997
1998
0.78% 0.10% -0.58% -0.16%
-2.23% 1.50%
0.43%
0.28% -1.46% -1.80% 0.70% -0.15%
-0.33% 1.44% -0.34% 0.31% 0.59%
0.26% -0.10% 1.17% -0.47% 0.74%
0.42% 0.95% 0.93% 0.38% -0.41%
0.88% 0.76% 0.56% 0.94% 0.05%
0.77% -0.14% -0.75% -0.65% -0.51%
-1.13% 1.16% 1.66% 0.03%
-1.31% -0.50% -0.38% -0.67%
-0.05% 0.75% -0.64% 0.86% 0.62%
0.00% 1.23% -0.22% 0.33% 0.83%
0.07% 0.78% 0.45% -1.10% -0.91%
-0.71% 0.00% 0.98% 1.51% 0.25%
0.07% 0.32% -1.39% 0.24% 1.21%
-0.52% 0.53% 1.67% 1.13% -0.41%
0.97% -0.47% -1.19% -0.13%
1.06% 0.22% -0.78% -1.32% -0.53%
0.21% -1.07% -0.27% -0.82% -2.97%
1.24% 1.37% 0.61% -0.75% 1.13%
1.78% -0.80% -0.80% -0.57%
-0.07% 1.26% 0.87% 0.82% -0.53%
2.14% 0.47% 0.09% -0.33% 0.89%
-0.17% 0.82% 0.10% 0.40% -0.40%
0.26% 0.91% -0.37% 0.58%
0.38% -0.73% 1.20% 0.55% 0.06%
1999
-0.31% 1.36% 2.21% -0.21% 0.42%
-0.88% -1.93% -0.41% -1.80% 2.56%
0.70% 0.37% -1.71% -0.81%
0.72% 1.49% -0.73% 1.79% 1.13%
-0.52% -0.86% 0.80% -1.85% -0.73%
0.35% -2.22% 0.61% 2.49% -1.91%
0.95% -1.44% 1.08% 0.16%
2.66% -0.08% -1.40% -0.67% -0.54%
2000
-0.63% -3.83% 0.19% 0.10% 2.71%
1.12% -1.31% -0.44% 1.22% 1.07%
-0.68% 0.05% -0.71% -0.29%
-2.76% 0.61% -0.42% -0.39% -2.75%
2.52% 1.06% -0.01% 1.12% -0.04%
-0.01% 1.23% -2.08% 0.36% -2.10%
0.20% 0.87% -1.03% 0.04% -3.04%
0.45% 0.63% -0.53% -1.48%
1.10% 1.36%
2001
2002
2003
2004
-3.82% 5.01% -1.06% -2.62%
-0.55% 0.92% 0.62%
3.84% -0.05%
-0.10%
-0.19% 0.38% 0.96% 1.03% -0.62%
0.61% 0.21% 1.39% -0.40%
0.03% 1.30% 0.29% -0.50% -0.19%
0.68% 0.70% -0.56% 0.55% -1.75%
0.36% -0.15% -0.84% -0.62% -1.33%
1.18% -0.87% -0.22% 0.81% -1.89%
-1.74% -1.85% -0.20% -0.56%
1.75% -0.77% -1.43%
-0.65% -0.36% -0.48% 0.12% -0.95%
-0.63% 0.68% -1.62% 1.00% -0.99%
-0.73% 0.79% 0.35% 0.10%
-0.02% -2.86% 1.17% 1.49% -0.71%
-2.47% -0.40% -0.60% -0.31% 1.49%
1.43% -0.40% 0.99% -0.18% -1.10%
-1.89% 1.35% -1.55% 0.82%
1.80% 0.00% 0.05% -0.28%
2.25% -0.65% -1.41% 1.94% 0.00%
-0.14% 0.58% -1.44% -0.39% -1.40%
-1.57% -1.04% 1.02% -2.92%
-1.62% 1.31% 0.68% -2.28% 1.31%
0.54% -1.41% -0.54% -0.64% -1.01%
0.76% -0.81% -1.27% -0.16% 2.14%
1.95% -0.71% -0.95% 1.32%
-1.84% 0.72% -1.31% 1.18% 0.46%
1.24% 0.13% 0.24% 0.50% -0.89%
0.48% -0.53% 0.83% 0.14% 0.69%
-0.09% 0.78% -0.32% -0.21%
1.21% -0.98% -1.36% 0.50% -0.26%
0.37% 0.07% -0.84% 0.18% 1.26%
-0.26% 0.50% 1.07% -0.49% -0.55%
0.98% -0.45% -0.41% -0.26%
-0.27% -0.17% 0.40% 0.11% 0.00%
2005
-0.95% -1.17% -0.36% 0.35% -0.14%
0.34% -0.61% 0.40% -0.86% 0.60%
0.97% -0.95% -0.78% -0.64%
-0.35% 0.40% 0.48% 0.04% -0.27%
0.85% 0.69% 0.32% -0.28% 1.10%
-0.11% 0.05% -0.86% 0.42% 0.69%
0.07% 0.33% 0.02% -0.79% 0.07%
-1.45% 0.56% 0.79% 0.93%
-0.64%
2006
1.64% 0.37% 0.00% 0.94%
0.37% -0.04% 0.35% -0.63% 0.12%
-0.36% -0.40% 0.56% -1.83%
0.18% 0.24% -0.17% 0.72% 0.78%
0.11% -0.40% 0.19% -0.91% -0.54%
0.08% -0.81% 0.87% -0.15% 0.25%
-0.33% 1.00% 0.35% 0.73% -0.17%
-0.33% 0.75% -0.38% 0.13%
0.36% -1.04%
2007
-0.12% 0.12% -0.61%
0.22% -0.05% 0.19% 0.63% 0.49%
0.08% -0.09% -0.30% 0.29%
-0.53% 0.35% 0.85% -1.13% -0.12%
-0.11% 0.58% 0.66% 0.54% 0.17%
-0.10% 0.07% 0.14% -0.12% -0.71%
-0.33% 0.76% 0.76% 0.10% -0.09%
0.28% -0.14% -0.09% -0.36%
-0.13% -3.47% 0.56%
2008
2009
-2.12% 0.00% -2.46%
0.32% -1.84% 1.36% 0.79% -1.36%
1.09% -2.49% -0.56% -2.91% -0.60%
-1.11% 2.14% 1.01% -1.59%
1.75% 0.62% -0.48% 1.68% 1.22%
-1.05% -3.20% -0.76% 0.79% -0.42%
0.59% 0.73% 1.36% -1.34% 0.08%
-0.09% 0.83% -1.29% 0.79%
1.38% 0.69% -0.09% -0.89% -2.71%
2.68% 0.78% -3.00% 0.34% -2.13%
-2.26% 0.18% -3.35% 0.13% 0.76%
-5.28% 4.35% -1.52% 0.54%
0.56% 1.09% 3.36% -3.31% -2.28%
-0.05% 1.58% -0.75% 1.64% 2.69%
0.15% -4.91% 0.80% 0.17% -1.00%
-4.56% -0.10% -1.20% -1.14%
-3.47% 4.01% -1.07% -1.58% -2.36%
2010
1.60% 0.31% 0.05% 0.40% 0.29%
0.17% -0.94% 0.83% 0.24% -1.08%
1.25% -1.06% -1.89% -2.21%
0.46% -0.42% 0.49% -1.18% -0.98%
1.43% 1.30% -0.55% -3.11% 0.29%
-0.89% 1.30% -0.22% 0.97% -0.27%
1.80% 0.42% 0.66% 0.22%
-0.10% -1.21% 0.97% -0.21% 0.14%
2011
1.13% -0.13% 0.50% -0.21% -0.18%
-0.14% 0.37% 0.90% -0.17% 0.74%
0.14% -1.01% -0.13% 0.24%
0.58% 0.03% 0.42% 0.22% -1.79%
0.77% 1.67% -0.27% 0.24% 0.29%
0.62% 0.42% -0.28% 0.07% 0.55%
0.24% -0.32% 0.63% 0.31% 0.19%
-2.05% -0.61% -0.10% 1.06%
0.56%
2012
1.55% 0.02% 0.29% -0.25%
0.23% 0.89% 0.03% 0.23% -0.49%
0.36% 1.11% 0.49% 0.07%
0.05% -0.10% 0.87% -0.58% -0.16%
-0.25% -0.05% 0.89% 0.11% 1.46%
-0.04% 0.20% 0.22% 0.15% -0.69%
0.68% -0.09% -0.54% 1.10% 0.23%
0.07% -0.33% 0.43% 0.17%
0.14% 0.34% -0.47%
2013
2014
2015
2.54% -0.21% 0.49%
-0.89% -0.03%
-0.03%
-0.31% -0.32% 0.27% 0.76% 0.00%
-0.09% 0.11% 0.02% 0.56% 0.34%
0.44% 0.15% 0.00% 0.54%
-0.18% 0.51% -0.39% -0.26% 1.01%
-1.15% 1.04% 0.05% -0.18% 0.57%
-0.06% 0.16% 0.06% 0.07% -0.10%
0.73% -1.24% -0.63% 0.88%
-1.83% 0.61% 1.27% -0.09%
-0.25% 0.61% -0.02% 0.03% 0.23%
-1.26% 1.08% 0.52% -0.13% -0.39%
0.28% 0.06% -0.89% -2.09%
-0.49% 0.61% -1.02% 1.13% -0.65%
-2.28% 0.76% -0.20% 1.24% 1.33%
0.16% 1.11% -0.03% 0.58% 0.48%
0.12% -0.65% 0.60% -0.19%
0.62% -0.13% 0.00% 0.49% 0.28%
-1.83% -0.89% 1.16% 1.79% -0.84%
-0.81% -0.26% -0.58% -0.92% 1.34%
0.15% 0.47% 1.53% -0.55%
0.26% -1.34% -1.35% 0.95% -1.30%
1.30% 1.44% -0.42% 1.03% -0.34%
-0.42% 1.07% 0.00% 0.96% 0.41%
0.16% -0.03% -0.11% 0.61%
-0.03% 0.28% -0.08% -0.15% -0.30%
2016
-1.53% 0.20% -1.31% -2.37% -1.08% 0.00% 0.09% 0.78% -2.50% 1.67% -2.16%
0.05% -1.17% 0.52% 2.03%
-1.56% 1.41% -1.09% 0.55% 2.48%
-0.04% -1.87% 0.50% 0.15% -1.85%
-1.42% -0.07% -0.02% -1.23% 1.95%
1.65% 1.65% -0.47% 0.00%
1.45% -1.25% 0.44% 1.13% -0.19%
-0.81%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos S&P 500 01-mar 02-mar 03-mar 04-mar 05-mar 06-mar 07-mar 08-mar 09-mar 10-mar 11-mar 12-mar 13-mar 14-mar 15-mar 16-mar 17-mar 18-mar 19-mar 20-mar 21-mar 22-mar 23-mar 24-mar 25-mar 26-mar 27-mar 28-mar 29-mar 30-mar 31-mar 01-abr 02-abr 03-abr 04-abr 05-abr 06-abr 07-abr 08-abr 09-abr 10-abr 11-abr 12-abr 13-abr 14-abr 15-abr 16-abr 17-abr 18-abr 19-abr 20-abr 21-abr 22-abr 23-abr 24-abr 25-abr 26-abr 27-abr 28-abr 29-abr 30-abr
217
1995 -0.36% -0.11% 0.06%
0.04% -0.72% 0.21% 0.00% 1.33%
0.10% 0.58% -0.20% 0.72% 0.02%
0.13% -0.22% 0.12% 0.06% 1.01%
0.45% 0.14% -0.15% -0.18% -0.30%
0.23% 0.68% 0.07% 0.10% 0.07%
0.12% -0.29% 0.32%
-0.21% -0.15% -0.09% 0.07% 0.63%
0.87% -0.15% 0.11% 0.17% 0.23%
1996 0.62%
1.00% 0.77% -0.58% 0.25% -3.08%
1.03% -0.46% 0.23% 0.36% 0.09%
1.75% -0.15% -0.26% -0.12% 0.22%
-0.09% 0.45% -0.62% 0.00% -0.53%
1.27% 0.23% 0.09%
-1.77% -0.32% -1.35% -0.37% 0.88%
0.91% 0.39% -0.53% 0.31% 0.23%
0.44% 0.57% -0.22% 0.42% 0.09%
0.11% 0.00%
1997
0.57% -0.55% 1.40% -0.43% 0.80%
1.08% -0.28% -0.87% -1.83% 0.46%
0.32% -0.76% -0.49% -0.40% 0.19%
0.87% -0.23% 0.18%
-4.22% 0.33% -1.25% 0.03% 1.01%
0.56% 0.52% -0.72% -0.30% -2.73%
0.82% 1.48% 1.17% -0.23% 0.60%
-0.78% 1.87% -0.13% -0.32% -0.75%
0.99% 2.73% 0.92%
1998 -0.16% 0.41% -0.45% -1.17% 1.99%
-0.32% 1.13% 0.40% 0.14% -0.12%
1.00% 0.11% 0.47% 0.39% 0.86%
-0.33% 0.92% -0.34% -0.10% -0.49%
-0.17% 0.75% 0.58% 1.07% 0.24%
-0.12% -1.05% -0.71%
0.73% 0.55% 0.32% -1.00% 1.31%
0.08% 0.27% 0.34% -0.97% -1.04%
-1.93% -0.13% 0.88% 1.56%
1999 -0.18% -0.86% 0.18% 1.54% 2.31%
0.57% -0.23% 0.55% 0.84% -0.24%
0.98% -0.07% -0.66% 1.44% -1.31%
-0.18% -2.69% 0.51% 1.69% -0.56%
2.13% -0.72% -1.11%
2.70% -0.24% 0.68% 1.29% 0.33%
0.76% -0.65% -1.58% -0.42% -0.29%
-2.24% 1.29% 2.29% 1.70% -0.14%
0.24% 0.20% -0.87% -0.60% -0.57%
2000 0.93% 0.19% 1.98%
-1.27% -2.56% 0.82% 2.56% -0.47%
-0.82% -1.77% 2.43% 4.76% 0.41%
-0.54% 2.56% 0.45% 1.78% 0.01%
-0.24% -1.06% 0.05% -1.37% 0.72%
0.49% -0.75% -0.49% 0.94% 1.00%
-0.78% -0.26% -2.23% -1.82% -5.83%
3.31% 2.87% -0.98%
0.17% 3.33% -1.11% 0.27% -0.85%
2001 0.10% -0.57%
0.59% 1.00% 0.65% 0.23% -2.48%
-4.32% 1.48% -2.58% 0.59% -1.96%
1.76% -2.41% -1.79% -0.41% 1.99%
1.13% 2.56% -2.44% -0.46% 1.08%
-1.25% -3.44% -0.29% 4.37% -2.00%
0.81% 2.71% -0.21%
1.18% 1.03% 3.89% 1.25% -0.85%
-1.50% -1.22% 1.59% 0.47% 1.50%
-0.29%
2002 2.26%
1.95% -0.67% 1.45% -0.45% 0.58%
0.34% -0.23% -0.99% -0.09% 1.14%
-0.05% 0.41% -1.58% 0.15% -0.42%
-1.47% 0.58% 0.53%
0.17% -0.85% -1.00% 0.08% -0.32%
0.23% -0.67% 1.13% -2.37% 0.66%
-0.76% 2.34% -0.20% -0.14% 0.06%
-1.54% -0.62% -0.71% -0.15% -1.39%
-1.01% 1.08%
2003
-0.75% -1.54% 0.96% -0.93% 0.83%
-2.58% -0.84% 0.43% 3.45% 0.16%
3.54% 0.42% 0.87% 0.19% 2.30%
-3.52% 1.22% -0.55% -0.16% -0.58%
-1.77% 1.21% 2.61% -0.51% 0.27%
0.12% -0.19% -1.40% 0.65% -0.38%
1.95% 0.63% -1.22%
1.38% 2.17% 0.84% -0.83% -1.38%
1.78% 0.33% -0.10%
2004 0.96% -0.59% 0.17% 0.33% 0.17%
-0.84% -0.58% -1.46% -1.52% 1.25%
-1.43% 0.56% 1.17% -0.13% -1.12%
-1.30% -0.13% -0.24% 1.64% -0.10%
1.30% 0.40% -0.07% 0.53% 0.85%
0.77% -0.21% -0.66%
0.41% -1.38% -0.11% 0.06% 0.51%
0.11% -1.56% 0.53% 1.41% 0.06%
-0.44% 0.23% -1.38% -0.76% -0.59%
2005 0.57% -0.03% 0.03% 0.96%
0.26% -0.48% -1.02% 0.19% -0.76%
0.56% -0.75% -0.81% 0.18% -0.05%
-0.49% -1.02% 0.07%
0.15% -0.76% 1.38% -0.07% -0.65%
0.72% 0.23% 0.60% -0.83%
0.00% 0.55% -1.18% -1.00% -1.67%
0.29% 0.59% -1.33% 1.97% -0.68%
0.87% -0.88% 0.40% -1.14% 1.19%
2006 0.83% -0.16% -0.15%
-0.70% -0.19% 0.20% -0.49% 0.72%
0.21% 1.04% 0.43% 0.18% 0.15%
-0.17% -0.60% 0.60% -0.26% 0.10%
-0.10% -0.64% 0.75% -0.20% -0.41%
0.23% 0.63% 0.43% -0.19% -1.03%
0.09% -0.78% 0.12%
-0.22% 1.71% 0.20% 0.12% -0.01%
-0.24% -0.49% 0.28% 0.33% 0.07%
2007 -0.26% -1.14%
-0.94% 1.55% -0.25% 0.71% 0.07%
0.27% -2.04% 0.67% 0.37% -0.38%
1.09% 0.63% 1.71% -0.03% 0.11%
0.10% -0.62% -0.80% 0.37% -0.12%
0.26% 0.93% 0.11%
0.36% 0.26% -0.66% 0.62% 0.35%
1.07% 0.21% 0.07% -0.12% 0.93%
-0.23% -0.04% 1.01% -0.08% -0.01%
-0.78%
2008
0.05% -0.34% 0.52% -2.20% -0.84%
-1.55% 3.71% -0.90% 0.51% -2.08%
-0.90% 4.24% -2.43%
3.96% 0.23% -0.88% -1.15% -0.80%
0.57% 3.59% -0.19% 0.13% 0.08%
0.16% -0.51% -0.81% 0.45% -2.04%
-0.34% 0.46% 2.27% 0.06% 1.81%
-0.16% -0.88% 0.29% 0.64% 0.65%
-0.11% -0.39% -0.38%
2009 -4.66% -0.64% 2.38% -4.25% 0.12%
-1.00% 6.37% 0.24% 4.07% 0.77%
-0.35% 3.21% 2.09% -1.30% -1.98%
7.08% -2.04% 0.96% 2.33% -2.03%
-3.48% 1.31% 1.66% 2.87% 0.97%
-0.83% -2.39% 1.18%
2010 1.02% 0.23% 0.04% 0.37% 1.40%
-0.02% 0.17% 0.45% 0.40% -0.02%
0.05% 0.78% 0.58% -0.03% -0.51%
0.51% 0.72% -0.55% -0.17% 0.07%
0.57% 0.00% -0.33%
1.54% 0.17% -0.59% 0.34% 0.67%
2011 -1.57% 0.16% 1.72% -0.74%
-0.83% 0.89% -0.14% -1.89% 0.71%
-0.60% -1.12% -1.95% 1.34% 0.43%
1.50% -0.36% 0.29% 0.93% 0.32%
-0.27% 0.71% 0.67% -0.18% 0.50%
0.03% -0.02% 0.22% -0.15% -0.40%
-0.28% 4.07% -2.01% 1.25% 1.55% 0.50%
-4.28% 2.13% -0.77% 0.99% 1.68%
-1.01% -0.27% 2.16% -0.10%
0.18% 0.07% 1.12% 0.08% -1.61%
0.45% 0.81% -0.10% 0.23% 0.71%
-0.43% -2.34% 0.65% 1.29% -1.66%
2012 0.62% -0.32%
-0.39% -1.54% 0.69% 0.98% 0.36%
0.02% 1.81% -0.12% 0.60% 0.11%
0.40% -0.30% -0.19% -0.72% 0.31%
1.39% -0.28% -0.49% -0.16% 0.37%
0.75% -0.40% -1.02% -0.06%
-1.14% -1.71% 0.74% 1.38% -1.25%
2013 0.23%
0.46% 0.96% 0.11% 0.18% 0.45%
0.32% -0.24% 0.13% 0.56% -0.16%
-0.55% -0.24% 0.67% -0.83% 0.72%
-0.33% 0.78% -0.06% 0.41%
-0.45% 0.52% -1.05% 0.40% -0.43%
0.63% 0.35% 1.22% 0.36% -0.28%
-0.75%
1.21%
1.27%
-0.05% 1.55% -0.41% -0.59% 0.12%
-0.84% 0.37% 1.36% 0.67% 0.24%
1.22% -0.39%
-2.30% 1.43% -1.43% -0.67% 0.88%
0.47% 1.04% 0.00% 0.40% -0.18%
0.72% 0.25%
2014
-0.74% 1.53% -0.01% 0.17% 0.05%
-0.05% -0.51% 0.03% -1.17% -0.28%
0.96% 0.72% -0.61% 0.60% -0.29%
-0.49% 0.44% -0.70% -0.19% 0.46%
0.79% 0.70% 0.29% -0.11% -1.25%
-1.08% 0.38% 1.09% -2.09% -0.95%
0.82% 0.68% 1.05% 0.14%
0.38% 0.41% -0.22% 0.17% -0.81%
0.32% 0.48% 0.30%
2015 0.61% -0.45% -0.44% 0.12% -1.42%
0.39% -1.70% -0.19% 1.26% -0.61%
1.35% -0.33% 1.22% -0.49% 0.90%
-0.17% -0.61% -1.46% -0.24% 0.24%
1.22% -0.88% -0.40% 0.35%
0.66% -0.21% 0.27% 0.45% 0.52%
-0.46% 0.16% 0.51% -0.08% -1.13%
0.92% -0.15% 0.51% 0.24% 0.23%
-0.41% 0.28% -0.37% -1.01%
2016 2.39% 0.41% 0.35% 0.33%
0.09% -1.12% 0.51% 0.02% 1.64%
-0.13% -0.18% 0.56% 0.66% 0.44%
0.10% -0.09% -0.64% -0.04%
0.05% 0.88% 0.44% -0.20% 0.63%
-0.32% -1.01% 1.05% -1.20% 0.28%
-0.27% 0.97% 1.00% 0.02% -0.10%
0.65% 0.31% 0.08% -0.52% 0.00%
-0.18% 0.19% 0.16% -0.92% -0.51%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos S&P 500 01-may 02-may 03-may 04-may 05-may 06-may 07-may 08-may 09-may 10-may 11-may 12-may 13-may 14-may 15-may 16-may 17-may 18-may 19-may 20-may 21-may 22-may 23-may 24-may 25-may 26-may 27-may 28-may 29-may 30-may 31-may 01-jun 02-jun 03-jun 04-jun 05-jun 06-jun 07-jun 08-jun 09-jun 10-jun 11-jun 12-jun 13-jun 14-jun 15-jun 16-jun 17-jun 18-jun 19-jun 20-jun 21-jun 22-jun 23-jun 24-jun 25-jun 26-jun 27-jun 28-jun 29-jun 30-jun
218
1995
1996
1997
0.03% 1.09% 0.01% -0.08%
-1.65% -0.27%
1.45%
0.74% -0.08% 0.15% 0.00% 0.23%
0.42% 0.09% -0.21% -1.42% -0.08%
0.86% 0.94% 0.00% 0.00% -0.93%
-0.01% 1.88% 0.02% -0.18%
0.58% -0.01% -0.45% -0.15% -0.83%
0.56% 0.97% 0.08% 0.12% 0.50%
1.00% -0.04% -0.18% 1.30% -0.25%
-1.02% -0.31% 0.42% 0.00%
-0.13% -0.40% 1.02% 0.10% 1.03%
1.44% 0.62% -0.03% -0.09% 0.61%
0.63% -0.06% 0.84% -0.36% 0.37%
-0.93% -0.64% 0.56% -0.38%
-0.22% 0.73% 0.87% -0.80% 0.04%
-0.17% -0.18% -0.29% -0.17% -0.31%
-0.10% -0.47% -0.02% 0.02% 0.72%
0.30% -0.06% -0.61% 0.63% 0.31%
2.13% -0.30% -1.47% 0.57% 0.55%
1.56% -0.54% 0.35% 0.70% -1.44%
0.42% 1.01% -0.27% -0.44% 1.36%
0.32% -0.29% -0.37% 0.50%
-0.23% -0.10% -0.64% 0.40% 1.73%
0.57% 0.27% 0.50% 1.60% 1.11%
0.07% 0.06% -0.60% 1.00% 0.08%
-2.23% 2.02% -0.82% -0.60% 0.41%
1998
0.93% -0.59% -0.95% -0.89% 1.19%
-0.14% 0.83% 0.28% -0.13% -0.77%
-0.26% 0.33% 0.86% -0.39% -0.37%
-1.48% -0.16% 0.49% -0.62%
0.01% 0.21% -0.96% 1.12% 1.74%
0.17% 0.24% -0.55% -1.59% 0.39%
-1.99% 0.98% 1.79% -0.07% -0.52%
0.23% 1.48% 1.20% -0.32% 0.35%
1999
1.46% -1.67% 1.15% -1.13% 0.97%
-0.35% 1.14% 0.62% 0.26% -2.18%
0.13% -0.46% 0.82% -0.40% -0.64%
-1.78% -1.70% 1.59% -1.79% 1.59%
-0.58% 0.04% 0.37% 2.17%
0.51% -1.29% 0.10% -1.20% -0.70%
0.03% 0.55% 2.25% 0.71% 0.22%
0.46% -0.97% -0.21% -1.30% -0.04%
1.22% -0.24%
0.06%
3.11%
2000
2001
2002
2003
-0.42% -2.16% -0.39% 1.64%
1.44% -1.49% 1.44%
0.71% -1.03%
1.44%
-0.59% -0.84% -2.06% 1.79% 0.93%
2.21% 0.94% -1.24% -0.73% -2.11%
-0.44% -1.92% 1.83% -1.25% -0.25%
3.22% -0.13% 1.99% 1.96%
-0.65% -0.67% 0.93% -0.66% -0.32%
-0.75% 1.62% 0.07% 0.56% -0.97%
1.47% -0.68% 0.22% -1.82% -0.74%
0.96% -0.33% 0.29% -0.02%
-0.24% -0.18% -0.45% -0.03% -0.76%
0.26% 0.04% 2.85% 0.27% 0.27%
1.62% -0.26% -1.55% 0.32% -1.18%
-0.78% -1.57% 0.62% 0.39%
0.51% 1.30% -1.05% 0.55% -0.94%
-0.84% 0.12% -1.13% -1.75% -0.45%
-0.49% 0.34% 0.87% 1.14% -0.94%
-0.55% -0.15% -0.47% 1.25%
-1.93% -0.30% 3.75% -1.45% -1.68%
1.85% 2.11% -0.57% 0.66% 0.76%
-1.33% -1.10% 0.57% 1.02% -1.21%
-0.86% -0.64% -0.28% 0.23%
-2.48% 0.00% 0.88%
-0.38% 0.85% -0.51% -1.01% 1.43%
1.25% -0.30% -0.32% 0.79% -0.25%
-2.49% -0.11% 0.40% 0.92% 0.14%
1.96% 0.18% -0.38% 1.47%
0.35% 0.47% 1.51% 0.40% -0.24%
-2.13%
0.31% -1.66% 0.66% -1.05% -0.23%
2.87% 0.09% -1.65% -1.34% -1.70%
0.36% -1.67% -0.27% 1.76% -0.08%
-1.20% 0.91% 1.28% 0.10% -0.99%
2.24% 0.09% -0.16% -1.52% 0.10%
-1.41% 0.18% -0.83% 1.08% -0.97%
2004
0.92% 0.18% 0.18% -0.67% -1.37%
-1.05% 0.77% 0.17% -0.08% -0.07%
-1.06% 0.68% -0.26% 0.05% 0.40%
0.17% 1.61% 0.17% 0.57% -0.05%
0.05% 0.34% -0.74% 0.52%
1.60% 0.15% -0.95% 0.45%
-0.98% 0.60% 0.14% -0.13% 0.26%
-0.42% 0.36% 0.85% -0.30% -0.55%
-0.10% -0.18%
0.66%
2005
2006
2007
2008
0.46% -0.09% 1.25% -0.26% -0.11%
0.20% -0.39% 0.32% 1.03%
0.91% 0.43% 0.21%
2.04%
0.64% -1.07% 0.42% -1.00% -0.46%
1.01% 0.70% 1.00% 0.47% -0.15%
0.39% 0.02% -0.34% 0.64% 0.10%
-0.61% 0.90% 0.17% -0.69%
0.12% -0.02% -0.22% 0.52% -0.23%
0.23% 0.26% 0.22% 0.36% 0.50%
-0.07% -0.20% 0.02% -1.08% -0.76%
-0.07% 0.91% -0.85%
-0.08% 0.04% -0.17% -1.28% -1.12%
0.25% -0.19% -1.68% -0.67% 0.41%
-0.39% -0.43% 0.16% 1.14% 0.57%
-1.58% 0.81% 1.23% 0.20%
-1.78% -0.11% -0.61% 0.14% -0.45%
-1.19% -1.11% 0.52% 2.12% -0.37%
-0.91% 0.00% 0.97% -0.53% -0.09%
0.49% -0.91% 0.55% 1.94%
0.26% -0.12% 0.32% -1.40% 0.96%
-0.18% -0.13% 0.86% -0.09% 0.66%
0.15% -0.06% -0.12% -0.97% 0.55%
0.16% 0.80% 0.03% 0.37%
0.18% -0.53% -0.89% -1.76% 1.14%
0.10% -1.07% 1.52% 0.48% 0.65%
-0.12% 0.17% -1.36% 0.62% -1.29%
-0.32% -0.32% 0.90% -0.04%
-0.45% 0.77% -1.81% 0.37% -0.67%
1.10% -0.04% 0.40%
1.28% -0.93% -1.61% 0.26% -1.32%
0.68% 0.40% 0.53% 0.15%
-1.05% -0.58% -0.03% 1.95% -3.09%
0.08% -0.24% -1.69% 0.33% 1.50%
0.01% -0.68% -0.97% 0.38% -1.85%
0.01% -0.28% 0.58% -2.94% -0.37%
2009
2010
3.94% -0.38% 1.74% -1.32% 2.41%
-2.15% -0.10% -2.69% 1.04% -1.14%
3.04% -0.17% -0.51% -1.68% -0.15%
1.31% -2.38% -0.66% -3.24% -1.53%
4.40% -0.34% 1.37% -1.21% -1.88%
0.11% -1.42% -0.51% -3.90% 1.50%
2.63% -1.90% 1.54% 1.36%
2.58% 0.20% -1.37% 1.15% -0.25%
-0.10% 0.35% -0.35% 0.61% 0.14%
0.52%
-0.98%
-3.06% 0.23% 0.65% 2.14% -0.15%
-0.84%
-1.35% 1.10% -0.59% 2.95% 0.44%
-2.25%
-0.39% -1.61% -0.30% -1.68% 0.29%
0.91% -0.85%
-4.08%
2013 -0.93% 0.94% 1.05%
2014 -0.01% -0.13% 0.19%
0.19% 0.52% 0.41% -0.37% 0.43%
-0.90% 0.56% -0.14% 0.15%
-1.11% -0.57% -0.44% -1.51% -0.74%
1.60% 0.05% 0.17% 0.14% -0.22%
0.00% 1.01% 0.51% -0.50% 1.03%
-0.07% 0.17% -0.83% -0.29% -0.06%
0.97% 0.04% -0.47% -0.94% 0.37%
0.38% -0.65% 0.81% 0.24% 0.42%
0.63%
-1.72% 2.58% 0.41% -3.44%
-0.18% 2.35% -0.06% 0.13% 0.13%
0.04% -0.43% -0.67% 0.25% -0.34%
0.32%
1.11% -1.43% -0.23% -2.46%
0.01% 0.57% 2.30% -0.01% 0.81%
-1.09%
0.07% -2.38% -1.27% -0.14% 0.84% 0.31%
2012 0.57% -0.25% -0.77% -1.61%
-1.92%
-1.19% -1.29% 0.04% -0.57% 3.29% -1.24%
-0.20% 0.13%
2011 -0.18%
-1.26% 1.17% -0.70% 1.08% 1.03%
0.63% -0.70% 0.37% -1.43%
0.59% -0.55% -1.38% 0.85% 1.28%
-0.03% -1.02% -0.84% 1.48% -0.59%
-0.33%
1.54%
0.74%
0.14% 0.98% -0.17% -2.23% 0.72%
-1.60% 0.48% 0.90% -0.21% 2.49%
0.76% 0.78% -1.39% -2.50% 0.27%
-1.21% 0.95% 0.96% 0.62% -0.43%
0.60% -0.11% 0.54% 0.18%
0.07% -0.04% 0.19% 0.65% 0.46%
0.09% -0.02% -0.35% -0.71% 0.31%
0.08% 0.22% 0.77% 0.13% 0.17%
-0.01% -0.64% 0.49% -0.12% 0.19%
-0.04%
2015 1.09%
0.29% -1.18% -0.45% 0.38% 1.35%
-0.51% -0.29% -0.03% 1.08% 0.08%
0.30% -0.06% -0.09% 0.23% -0.22%
-1.03% 0.92% -0.13% -0.63%
0.21% -0.10% 0.21% -0.86% -0.14%
-0.65% 0.04% 1.20% 0.17% -0.70%
-0.46% 0.57% 0.20% 0.99% -0.53%
0.61% 0.06% -0.74% -0.30% -0.03%
-2.09% 0.27%
2016 0.78% -0.87% -0.59% -0.02% 0.32%
0.08% 1.25% -0.96% -0.02% -0.85%
0.98% -0.94% 0.02% -0.37% 0.60%
-0.21% 1.37% 0.70% -0.02% 0.43%
-0.10% 0.11% 0.28% -0.29%
0.49% 0.13% 0.33% -0.17% -0.92%
-0.81% -0.18% -0.18% 0.31% -0.33%
0.58% 0.27% -0.17% 1.34% -3.59%
-1.81% 1.78% 1.70% 1.36%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos S&P 500 1995 01-jul 02-jul 03-jul 04-jul 05-jul 06-jul 07-jul 08-jul 09-jul 10-jul 11-jul 12-jul 13-jul 14-jul 15-jul 16-jul 17-jul 18-jul 19-jul 20-jul 21-jul 22-jul 23-jul 24-jul 25-jul 26-jul 27-jul 28-jul 29-jul 30-jul 31-jul 01-ago 02-ago 03-ago 04-ago 05-ago 06-ago 07-ago 08-ago 09-ago 10-ago 11-ago 12-ago 13-ago 14-ago 15-ago 16-ago 17-ago 18-ago 19-ago 20-ago 21-ago 22-ago 23-ago 24-ago 25-ago 26-ago 27-ago 28-ago 29-ago 30-ago 31-ago
219
0.43% 0.03% 1.23% 0.43%
0.15% -0.43% 1.10% 0.02% -0.20%
0.51% -0.76% -1.34% 0.46% 0.01%
0.54% 0.80% 0.09%
1996 0.78% -0.34% -0.18%
1997 0.67% 1.46% 1.43%
1998 1.30% -0.19%
1999 0.60% 0.74%
-2.22%
-0.75% 0.34% 0.20% -1.58% 0.08%
-2.54% -0.23% 0.91% 1.50% -0.75%
-0.78% -1.09% -0.04% 0.72% 0.75%
-0.51% 0.72% -1.22% 0.69% 0.32%
0.19% 0.80% 1.17% -0.53% -1.75%
-0.26% 2.30% 0.28% 0.40% -0.16%
0.95% -0.23% 1.02% -0.67% 0.50%
0.07% 1.06% -0.24% 0.78% 0.23%
-0.22% -1.61% -0.08% -2.09% 0.09%
-0.22% 0.56% -0.10% 0.64%
-0.30% -0.40% 0.33% 0.82% 0.65%
-0.78% -2.17% 0.16% -1.33% -0.30%
-0.68% 1.12%
2000
2001
1.03%
0.86% -0.18%
-1.59% 0.72% 1.53%
-0.22% 0.36% 0.81% 0.20% 0.95%
0.03% -1.11% -0.79% 0.92% -1.03%
-1.07% 0.70% -1.50% -0.19%
-1.23% -2.35%
0.69% -1.44% -0.11% 2.37% 0.62%
-1.09% 1.00% -0.55% 0.61% -0.34%
-1.64% -1.63% 1.61% 1.04% 0.24%
2002 -2.14% -2.12% 0.62%
2003 0.80% 1.16% -0.81%
2004 -1.04% -0.32%
3.67%
-1.22% -2.47% -3.40% 0.75% -0.64%
-0.38% -1.85% 0.57% -2.70% -3.84%
-3.29% -2.70% 5.73% -0.56% 1.69%
1.90% 0.34% -0.56% -1.35% 0.95%
0.57% -0.34% -0.63% -1.24% 1.18%
-1.46% 0.95% 0.05% -0.71% 1.74%
-0.81% 0.19% -0.82% 0.33%
0.14% 0.07% -0.33% -0.43% -0.48%
-0.04% 0.71% -1.33% 0.27% -0.97%
-0.20% 0.99%
2005 0.26%
0.88% -0.83% 0.25% 1.17%
0.63% 0.23% 0.09% 0.26% 0.12%
-0.55% 0.67% 0.48% -0.66% 0.54%
-0.38% 0.17% 0.46%
2006
2007
0.79%
0.91% 0.36%
-0.72% 0.25% -0.67%
0.15% 0.40% -1.09% -1.30% -0.49%
-0.14% 0.19% 1.86% -0.85% -0.71%
1.66% 0.63% -0.04% -0.41%
2008 0.38% -1.82% 0.11%
0.03% 0.33%
0.09% -1.42% 0.57% 1.91% 0.31%
-0.19% -0.01% -0.21% 0.45% -1.22%
0.49% -1.98% 0.47% -2.33% -1.60%
-0.84% 1.71% -2.28% 0.70% -1.11%
-0.90% -1.09% 2.51% 1.20% 0.03%
-0.05% 1.35% 0.41% -2.31% 0.42%
2009 0.44% -2.91%
2010 -0.32% -0.47%
0.26% -1.97% -0.17% 0.35% -0.40%
0.54% 3.13% 0.94% 0.72%
2.49% 0.53% 2.96% 0.86% -0.04%
1.14% 0.36% -0.05% 2.33% 0.30%
0.07% 1.54% -0.02% 0.12% -2.88%
0.60% 1.14% -1.28% 2.25% 0.82%
2011 3.32%
2012 0.25% 0.62% -0.47% -0.94%
2013 0.54% -0.05% 0.08%
-2.62%
0.68%
-0.23% 0.74% 0.67% 0.27% -1.01%
1.38%
-0.56% 1.12% -0.10%
-0.89% -0.90% -0.03% 1.65% 1.91%
0.53% 0.72% 0.02% 1.36% 0.31%
0.14% -0.37% 0.28% 0.50% 0.16%
0.20% -0.19% -0.38% 0.26% 0.08%
-2.75%
0.08% -0.43% -0.15% -0.01% 0.03%
0.20% 0.06% -0.12% -0.40% -0.42%
0.83% -0.21% 0.25% -0.17% 0.03%
-0.20% 0.25% -0.43% 0.06% 0.47%
-0.19% 0.17% 0.34%
-0.10% 0.74% 1.57% 1.92%
-0.34% 0.33% 0.27% -0.24% -0.07%
0.55% -0.84% 0.28% 0.03% 0.44%
0.21% -0.13% -0.09% 0.84% -0.54%
-0.47% 0.38% -0.24% -1.11%
1.44% 0.21% -0.75%
0.33% 0.22% 0.83% -0.95% -1.86%
0.37% -1.12% -0.49% 0.30% -2.59%
1.30% 1.48% 1.44% -1.52% -0.16%
-0.37% -0.78% 0.07% -1.10% -0.46%
0.19% -1.95%
-0.73% -3.62% 0.87% 0.76% -0.02%
-0.58% -1.31% 1.43% -0.86% -1.13%
1.97% 1.62% -0.29% -0.59% -0.95%
0.64% 0.43% -0.79% -3.84% -1.48%
-6.80%
-2.55% -0.44% -1.27% 0.64% -1.02%
-0.19% -1.26% 1.60% -0.29% 2.27%
0.23% 1.01% -0.84% -0.69% 0.98%
1.77% 0.24% 1.34% -1.43% -1.01%
-2.07%
-1.30% 0.51% 0.04% 0.96% 0.71%
1.12% 0.24% -0.67% -0.86% 0.79%
1.34% -0.48% -0.31% 1.10% -0.29%
0.52% -0.09% 0.52% 0.16% -0.12%
0.45% 0.39% 0.40% -0.52%
-1.14% 0.33% -1.73% -0.01% 0.57%
0.09% -0.38% -0.73% 0.31% -1.67%
0.81% -1.21% 0.70% -0.28% 1.97%
0.51% -0.28%
-0.48% -1.50% -1.11%
0.52%
-1.30%
6.89% -2.96% -2.31%
-3.43% 2.99% 2.00% 3.27% 0.35%
-0.53% -2.17% 4.00% 1.16% -0.16%
2.36% -1.40% 1.27% 1.41% -2.27%
0.75% -1.39% -1.81% -0.01%
-1.12% 0.29% -1.03%
0.27% -1.77% 0.17% 0.73% 0.36%
0.31% 1.00% -0.64% 0.66% 0.02%
0.92% 0.26% -0.20% 0.30% -1.02%
0.07% 0.30% 0.01% 0.61% 0.52%
0.63%
0.44% -0.63% -0.10% -1.63% -1.55%
0.12% 1.30% -0.30% -1.17% 0.15%
1.37% 0.22% 1.24% -0.36% 0.65%
-0.24% 0.05% 0.80% 0.01% 0.24%
-0.32%
-0.12% 0.71% 0.07% -0.74% -0.76%
-0.27% 0.67% -0.18% 0.71% -0.60%
0.28% -1.18% 0.07% -0.10% 0.06%
1.07% -0.45% 0.51% 0.22% -0.07%
-0.28% -0.34% -0.43% 0.46% -0.40%
0.12% 1.37% 0.77% 0.16% 0.37%
1.03% -1.26% 0.72% 0.44% -2.66%
2.42% 0.62% 1.41% -2.96% 0.04%
-0.05% -1.82% -1.39% 0.32% 2.46%
-0.37% 0.10% -0.45% 0.24%
-0.03% 0.11% 1.17% -0.11% 1.15%
0.60%
0.44% 0.19%
-0.85% -2.35% 2.19%
0.66%
-0.04%
0.70%
0.17% -0.34% -0.66% 0.23% -0.60%
2.11% -1.31% -0.56%
-0.90% 2.87% 0.34% -1.79% 2.39%
0.69% -1.21% -0.29% 0.55% 0.41%
-1.51% -0.93% 0.62% 0.25% 1.13%
-1.96% 0.37% 0.80% 1.48% -1.37%
0.76% 0.07%
1.53% 0.30% -0.29% -0.56% 1.34%
-0.33% -1.27% 1.15% 0.69% -0.85%
-2.43% 1.01% 0.69% 1.09% 1.86%
-0.05% 0.24% 0.01% 0.28% -0.20%
-0.81%
-1.10%
2.20% -0.48% 0.61% -0.13% -0.37%
0.55% -0.60% -2.82% -0.54% -0.40%
0.01% 1.22% 0.15% -1.69% -0.37%
-0.40% -1.45% 0.33% -0.77% 1.66%
-1.43%
-3.10% -4.78% -0.06%
-6.66% 4.74% -4.42% 4.63% 0.53%
2.18% -0.97% 0.09% -4.46% -1.50%
0.03% 3.43% 1.31% -1.56% 1.51%
2.83% 0.23% 0.49%
-0.05% -0.43% -0.29% -0.75% 1.90%
0.23% 0.51% 0.06% 0.04% 0.22%
-0.13% -0.01% 0.11% 0.71% 0.19%
0.00% -0.35% 0.02% -0.81% 0.65%
-0.05% -0.08% 0.08% -0.78% 0.51%
2015 0.69% -0.03%
1.02%
1.01% -0.16% -0.81% 0.00% -0.50% 1.65%
2014 0.67% 0.07% 0.55%
-0.37% 0.04% -0.01% 1.25% 0.16%
-0.15% -0.57% -0.38% 0.39% -0.36%
-0.12% 0.28% -0.52% -1.43% -0.33%
-0.59% 0.38% -0.58% 0.86% 0.39%
-0.40% -1.59% 0.27% 0.20% -0.32%
-0.39% -0.70% 0.46% -0.41% 0.15%
0.48% -0.19% 0.42% -1.18% 1.03%
-0.23% 0.50% 0.18% 0.05% -0.48%
0.03% -0.45% 0.01% -2.00% -0.29%
0.72% -0.97% 0.00% -0.56% 1.15%
0.28% -0.16% 0.67% 0.43% -0.01%
0.85% 0.50% 0.25% 0.29% -0.20%
0.48% 0.11% 0.00% -0.17% 0.33%
-0.39% 0.61% -1.67% 0.23% 1.23%
1.11% 0.45% -0.07% 0.80% 0.11%
0.08% -0.43% -0.24% -0.57% -1.07%
-0.58% 1.24% 0.73% 0.00% -0.23%
-0.28% -0.22% 0.31% -0.78% -0.29%
1.28% -0.96% 0.10% -0.13% 0.39%
0.52% -0.26% -0.83% -2.11% -3.19%
-3.94% -1.35% 3.90% 2.43% 0.06%
-0.84%
2016 0.19%
-0.68% 0.54% -0.09% 1.53%
0.34% 0.70% 0.01% 0.53% -0.09%
0.24% -0.14% 0.43% -0.36% 0.46%
-0.30% 0.03% -0.12% 0.16% 0.16%
-0.13% -0.64% 0.31% 0.02% 0.86%
-0.09% 0.04% -0.29% 0.47% -0.08%
0.28% -0.55% 0.19% 0.22% -0.14%
-0.06% 0.20% -0.52% -0.14% -0.16%
0.52% -0.20% -0.24%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos S&P 500 01-sep 02-sep 03-sep 04-sep 05-sep 06-sep 07-sep 08-sep 09-sep 10-sep 11-sep 12-sep 13-sep 14-sep 15-sep 16-sep 17-sep 18-sep 19-sep 20-sep 21-sep 22-sep 23-sep 24-sep 25-sep 26-sep 27-sep 28-sep 29-sep 30-sep 01-oct 02-oct 03-oct 04-oct 05-oct 06-oct 07-oct 08-oct 09-oct 10-oct 11-oct 12-oct 13-oct 14-oct 15-oct 16-oct 17-oct 18-oct 19-oct 20-oct 21-oct 22-oct 23-oct 24-oct 25-oct 26-oct 27-oct 28-oct 29-oct 30-oct 31-oct
220
1995 0.35%
0.95% 0.18% 0.02% 0.42%
0.21% 0.45% 0.39% 0.84% -0.04%
-0.10% 0.25% 0.44% -0.64% -0.22%
0.01% -0.07% -0.06% 0.83% -0.25%
-0.46% 0.11% -0.15% 0.20% -0.02%
1996
-0.41% 0.14% -0.94% 0.96%
1.23% 0.01% 0.52% 0.58% 1.40%
0.51% -0.15% -0.22% 0.22% 0.59%
-0.08% -0.13% 0.03% 0.00% 0.05%
0.17% 0.25% 0.72% -0.18% 1.25%
0.27% -0.71% -0.15% 0.34% 0.63% 0.24%
-0.25% 0.64% 0.11% 0.55% -0.54%
-0.41% 0.25% -0.69% -0.99% 0.52%
0.61% -0.30%
-0.94% -0.31% 0.87%
0.41% -0.14% 0.26% 0.37% 0.54%
-0.14% -0.46% 0.10% -0.70% -0.20%
-0.52% 0.61% -0.09% 0.62%
1997 3.13% 0.03% 0.32% -0.20%
0.23% 0.26% -1.56% -0.70% 1.24%
-0.45% 2.81% -0.28% 0.45% 0.34%
0.52% -0.37% -0.78% -0.70% 0.78%
0.86% -0.64% 0.86% 0.53% 0.48%
0.79% 1.07% -1.27% -0.38%
0.12% 0.23% -0.47% -1.08% -1.16%
1.21% 1.74% -0.39% -1.84% -0.95%
-6.87% 5.12% -0.29% -1.68% 1.21%
1998 3.86% -0.38% -0.83% -0.85%
5.09% -1.69% -2.58% 2.95%
2.05% 0.77% 0.75% -2.55% 0.12%
0.37% 0.56% 3.54% -2.19% 0.19%
0.38% 0.03% -3.05% -3.01% 1.64%
-1.40% -0.40% -1.41%
1999 0.81% -0.90% 2.89%
-0.50% -0.47% 0.26% 0.30%
-0.56% -0.58% -1.37% 0.04% 1.28%
0.01% -2.09% 0.22% -2.30% -0.24%
0.47% -0.09% -1.08% 1.13% 0.01%
1.70% -0.25% 1.85% -0.59%
1.41%
1.35% -0.29% 1.08% 4.17% 0.85%
0.57% 0.14% 0.56% 0.80% -0.72%
-0.50% 0.26% 1.67% 1.17%
1.33% -1.66% -2.09% -0.17% -2.81%
0.54% 0.57% 2.23% -0.45% 1.41%
-0.62% -0.91% 1.15% 3.53% 1.53%
2000 0.20%
-0.90% -0.98% 0.69% -0.53%
2001
-0.06% -0.11% -2.24% -1.86%
0.62% -0.35% -0.49% 0.20% -0.27% -1.02%
-1.45% 1.07% -0.59% -0.16% -0.02%
-0.67% -0.82% -0.04% 2.22% -1.49%
-0.02% -0.68% 0.55% 0.14% -1.90%
-0.49% -1.07% -1.62% -2.55% 3.34%
0.03% -1.79% -0.58% 3.47% 0.59%
-0.08% 0.17% -2.38% -0.03% 1.11%
1.38% 2.20%
-4.92% -0.58% -1.61% -3.11% -1.90%
3.90% 0.88% -0.52% 1.15% 2.19%
-0.23% 1.23% 1.99% -0.25% 0.16%
2002
-4.33% 1.75% -1.60% 1.68%
1.01% 0.73% -0.01% -2.48% 0.33%
0.14% -1.97% -0.46% -3.01% 0.25%
-1.38% -1.73% 2.49% 1.82% -3.23%
-1.46% 4.00% -2.36% -1.08% -2.24%
2003 1.39% 0.42% 0.17% -0.64%
1.00% -0.82% -1.20% 0.54% 0.22%
-0.38% 1.43% -0.33% 1.33% -0.32%
-1.30% 0.61% -1.91% -0.61% -0.64%
0.98% -1.05% 2.23% 0.20% 0.94%
0.44% 0.47% -1.37% 2.29% 1.52% -0.53%
-0.15% 0.69% -1.86% -0.79% 0.46%
1.53% -0.47% 0.04% 1.37% 0.41%
-2.38% -1.72% 0.00%
-2.98% 3.50% 3.91%
0.73% 4.73% -2.41% 2.23% 0.59%
1.73% -1.06% 0.67% -1.52% 1.72%
-0.83% -0.91% 0.97% -0.56%
2004 0.15% 1.12% -0.42%
0.69% -0.45% 0.19% 0.50%
0.17% 0.22% -0.71% 0.28% 0.45%
-0.56% 0.63% -1.39% -0.47% 0.16%
-0.59% 0.59% 0.43% -0.02% 1.52%
0.32% -0.06% 0.67% -1.00%
-0.05% -0.06%
0.70% 0.40% -0.26% 0.32% -1.02%
0.52% 0.13% -1.50% 0.33% -0.47%
0.22% 1.52% 0.13% -0.11% 0.36%
-0.55% -0.23% -0.73% -0.93% 0.45%
0.53% -0.97% 0.04% 0.26% -0.97%
-0.09% 1.49% 1.29% 0.18% 0.24%
2005 0.10% -0.29%
1.26% 0.24% -0.38% 0.80%
-0.07% -0.75% -0.33% 0.05% 0.83%
-0.56% -0.79% -0.91% 0.37% 0.06%
0.03% 0.00% 0.10% 0.89% 0.09%
-0.17% -1.00% -1.49% -0.41% 0.37%
-0.72% -0.21% -0.61% -0.07% 0.83%
0.30% -1.00% 1.50% -1.50% 0.15%
1.68% -0.24% -0.43% -1.05% 1.65%
0.72%
2006 0.55%
0.17% -0.99% -0.48% 0.38%
0.05% 1.04% 0.39% -0.14% 0.26%
0.12% -0.27% 0.57% -0.54% -0.25%
0.88% 0.75% 0.02% 0.17% -0.23%
-0.34% 0.21% 1.21% 0.22% -0.27%
0.08% 0.20% -0.26% 0.95% 0.20%
0.25% -0.37% 0.13% 0.08% 0.12%
0.62% 0.03% 0.35% 0.50% -0.85%
0.04% 0.00%
2007
1.05% -1.15% 0.43% -1.69%
-0.13% 1.36% 0.00% 0.84% 0.02%
-0.51% 2.92% 0.61% -0.67% 0.46%
-0.53% -0.03% 0.54% 0.39% -0.30%
1.33% -0.03% -0.46% 0.21% 0.96%
2008 -0.41% -0.20% -2.99% 0.44%
2.05% -3.41% 0.61% 1.38% 0.21%
-4.71% 1.75% -4.71% 4.33% 4.03%
-3.82% -1.56% -0.20% 1.97% 0.34%
-8.81% 5.42% -0.45% -4.03% -1.35%
-3.85% -5.74% 0.49% -0.17% -0.52% 0.48%
-0.84% -0.66% 0.18% -0.08% -2.56%
0.38% 0.88% -0.24% -0.10% 1.38%
0.37% -0.65% 1.20%
-8.66% -1.18%
11.58% -0.53% -9.03% 4.25% -0.62%
4.77% -3.08% -6.10% 1.26% -3.45%
-3.18% 10.79% -1.11% 2.58% 1.54%
2009 -2.21% -0.33% 0.85% 1.31%
0.88% 0.78% 1.04% -0.14%
0.63% 0.31% 1.53% -0.31% 0.26%
-0.34% 0.66% -1.01% -0.95% -0.61%
1.78% -0.22% -0.33% -2.58% -0.45%
1.49% 1.37% 0.27%
2010 2.95% 0.91% 1.32%
-1.15% 0.64% 0.48% 0.49%
1.11% -0.07% 0.35% -0.04% 0.08%
1.52% -0.26% -0.48% -0.83% 2.12%
-0.57% 0.49% -0.26% -0.31% 0.44%
-0.80% 2.09% -0.07% -0.16%
2011 -1.19% -2.53%
-0.74% 2.86% -1.06% -2.67%
0.70% 0.91% 1.35% 1.72% 0.57%
-0.98% -0.17% -2.94% -3.19% 0.61%
2.33% 1.07% -2.07% 0.81% -2.50%
-2.85% 2.25% 1.79% 1.83% -0.82%
1.32%
0.44% -0.28% 1.75% 0.42% -0.81%
0.94% -0.62% -0.89% 1.06% -1.22%
-1.17% -0.33% -1.95% 2.25% -2.81%
0.63% 0.38% 0.71% -0.36% 0.20%
0.72% -1.59% 1.05% 0.18% 0.24%
0.21% 0.00% -0.27% 0.11% -0.04%
3.41% 0.05% 0.98% -0.30% 1.74%
-1.94% 2.04% -1.26% 0.46% 1.88%
1.29% -2.00% 1.05% 3.43% 0.04%
-2.47%
2012
-0.12% -0.11% 2.04% 0.40%
-0.61% 0.31% 0.21% 1.63% 0.40%
-0.31% -0.13% 0.12% -0.05% -0.01%
-0.22% -1.05% -0.57% 0.96% -0.45%
0.27% 0.09% 0.36% 0.72% -0.03%
-0.35% -0.99% -0.62% 0.02% -0.30%
0.81% 1.03% 0.41% -0.24% -1.66%
0.04% -1.44% -0.31% 0.30% -0.07%
0.02%
2013
0.42% 0.81% 0.12% 0.01%
1.00% 0.73% 0.31% -0.34% 0.27%
0.57% 0.42% 1.22% -0.18% -0.72%
-0.47% -0.26% -0.27% 0.35% -0.41%
-0.60% 0.80% -0.07% -0.90% 0.71%
-0.85% -1.23% 0.06% 2.18% 0.63%
0.41% -0.71% 1.38% 0.67% 0.65%
0.01% 0.57% -0.47% 0.33% 0.44%
0.13% 0.56% -0.49% -0.38%
2014 -0.05% -0.08% -0.15% 0.50%
-0.31% -0.65% 0.36% 0.09% -0.60%
-0.07% 0.75% 0.13% 0.49% -0.05%
-0.80% -0.58% 0.78% -1.62% 0.86%
-0.25% -0.28% -1.32% 0.00% 1.12%
-0.16% -1.51% 1.75% -2.07% -1.15%
-1.65% 0.16% -0.81% 0.01% 1.29%
0.91% 1.96% -0.73% 1.23% 0.71%
-0.15% 1.19% -0.14% 0.62% 1.17%
2015 -2.96% 1.83% 0.12% -1.53%
0.00% 2.51% -1.39% 0.53% 0.45%
-0.41% 1.28% 0.87% -0.26% -1.61%
0.46% -1.23% -0.20% -0.34% -0.05%
-2.57% 0.00% 2.03% 0.20% 1.43%
1.83% -0.36% 0.80% 0.88% 0.07%
0.13% -0.68% -0.47% 1.49% 0.46%
0.03% -0.14% -0.58% 1.66% 0.90%
-0.19% -0.26% 1.18% -0.04% -0.48%
2016 0.00% 0.42%
0.30% -0.01% -0.22% -2.45%
1.47% -1.48% -0.06% 1.01% -0.38%
0.00% 0.03% 1.09% 0.65% -0.57%
-0.86% 0.64% 0.53% -0.93% 0.80%
-0.33% -0.50% 0.43% 0.05% -0.33%
0.46% -1.24% 0.11% -0.31% 0.02%
-0.30% 0.62% 0.22% -0.14% -0.01%
0.47% -0.38% -0.17% -0.30% -0.31%
-0.01%
Anexo Tasa de Descuento Tasa de Descuento: Rendimientos S&P 500 1995 01-nov 02-nov 03-nov 04-nov 05-nov 06-nov 07-nov 08-nov 09-nov 10-nov 11-nov 12-nov 13-nov 14-nov 15-nov 16-nov 17-nov 18-nov 19-nov 20-nov 21-nov 22-nov 23-nov 24-nov 25-nov 26-nov 27-nov 28-nov 29-nov 30-nov 01-dic 02-dic 03-dic 04-dic 05-dic 06-dic 07-dic 08-dic 09-dic 10-dic 11-dic 12-dic 13-dic 14-dic 15-dic 16-dic 17-dic 18-dic 19-dic 20-dic 21-dic 22-dic 23-dic 24-dic 25-dic 26-dic 27-dic 28-dic 29-dic 30-dic 31-dic
221
1996
1.41% 0.14%
-0.36% -0.36% 0.92% 0.26% -0.09%
-0.07% -0.51% 0.79% 0.57% 0.46%
-0.54% 0.57% -0.31%
0.21% 1.05% 1.46% 0.42% 0.44%
0.14% -0.32% 0.22% 0.65% 0.24%
-0.08% 0.70% 0.24% -0.16% 0.81%
0.26%
0.23% 0.85% 0.20% -0.37% 0.27%
1.10% 0.65% 0.40% -0.65%
0.54% -0.12% 0.47% -0.77% -0.09%
-1.55% 0.84% -0.98% 0.75% 0.24%
1.11% -0.14% -0.13%
2.66% 0.19% 0.21% -0.50% -1.12%
-0.69% 0.29% -1.93% 1.18% 1.28%
1.92% -0.84% 0.68% 1.52% 0.43%
-1.70% 0.44% 0.09%
1998
1999
2000
1.18% -0.07% 0.70% 1.36% 0.63%
-1.11% 0.53% 0.57% 0.56%
-0.08% -0.11%
-0.95% -0.17% -0.65% -0.29% 0.72%
0.90% 0.30% 0.45% 0.71% 0.95%
2.12% -0.44% 0.33%
0.49% -0.85% 0.60% 0.58% 1.06%
-0.12% 1.84% -0.66% 1.01% -0.21%
-0.07% -1.15% 0.89%
0.46% 0.40%
-0.06% -1.09% -0.42% -0.10% -0.64%
2.03% -0.32% 0.52% -0.38% 1.10%
-2.41% 1.00% -0.34% -1.80% 2.31%
0.93% 1.37% -0.30% -0.91% -1.54% -0.09%
-1.05% 0.70% 0.76% 1.94% 0.42%
0.64% 0.13%
-0.39%
-0.81% -0.61% -1.53% -0.16%
1.05% 0.48% -0.26% -1.06% -0.89%
0.73% -1.53% -0.68%
-0.35% -1.56% 0.12%
-2.17% 1.90% -0.08% 1.55% 0.68%
1.25% 0.06% 2.07%
-0.62% -1.34% 0.63% 0.81% 1.72%
-0.70% -0.99%
-1.08% 2.35% 0.50% -1.26% -0.34%
-1.84% 0.35% -1.85%
-0.13% -0.85% 0.72% 0.39% 0.16%
-0.21% 1.08% 0.19% 1.55%
-0.25% 1.33% -0.80%
-0.09% 0.04% 0.40% 0.07%
2001
4.06% 1.45% -0.27% 0.25% 0.16%
-0.18% 1.86% 0.19% 0.09% -0.31%
1.09% -0.73% -0.49%
2002
2.55% 0.78% 0.91% -2.29% -0.88%
-2.07% 0.77% -0.05% 2.46% 0.61%
-1.04% -0.40% 1.94% 2.15% -0.34%
2003
0.79% -0.54% -0.14% 0.59% -0.46%
-0.58% -0.05% 1.14% -0.01% -0.76%
-0.64% -0.91% 0.80% -0.84% 0.16%
1.17% 1.47%
0.54% -0.95% 0.44% -2.01% 0.02%
0.74% 3.89% -1.82% -0.59%
-0.08% 0.63%
0.40%
1.80% 1.83%
0.39% -0.02% -1.58% -0.65% -2.44%
-0.03%
0.27%
-0.26% 0.55% 0.38% 0.04% -0.07% 0.29%
1997
2.73% -0.65% -0.82% -1.40% -2.15%
0.81% -1.30% -3.13% 0.80% 2.44%
0.71% 1.04% 0.40%
0.62% -0.68% -1.83% 1.03% -0.07%
-0.84% 1.32% 2.23% -0.28% -0.75%
-1.59% -0.28% 0.03% -1.56% 0.33%
1.00% 0.75% 0.58% -0.84% 0.44%
0.25% -2.10% 2.80%
1.62% 0.17% 0.43%
2005
2006
2007
0.64% 0.43% 0.02%
-0.77% -0.22%
-2.56%
-0.11% -0.07% -0.10% 0.91% 0.91%
-0.03% -0.71% 0.55% 0.14% -1.12%
0.59% -0.03% 0.41%
-0.19% -1.47% -0.34% -1.20% 0.63%
-2.22% 1.40% 0.06% -0.37% -1.34%
2.35% -0.81% -1.31% -0.77% 1.30%
1.13% -0.33% -0.18% 0.47% -0.77%
-0.57% 0.66% 0.13% 1.18% -0.05%
-0.68% -1.60%
-0.08% -0.39% 0.18% 0.94% 0.44%
0.53% 0.51% 0.35%
0.25% 0.64% 0.24% 0.23% 0.10%
-0.05% 0.16% 0.23%
-1.00% 2.91% -0.71% -1.32% 0.52%
-1.75% 0.45% -1.59%
-0.34% -0.40% 1.50% -0.09% 0.07%
1.03% -0.10%
0.90% 0.39% 0.19% -0.21% -0.75%
0.04% 0.90% 0.34% 0.05%
-0.85% 0.00% -0.64% 1.22% 0.03%
-0.24% 0.13% -0.50%
-0.43% 0.72% -0.01% 0.01%
-1.36% 0.34% 0.92% 0.08% -0.28%
0.89% 0.40% -0.13% -0.40%
-2.32% 1.49% 2.86% 0.05% 0.78%
-0.59% -0.65% 1.52% 1.50% -0.18%
0.16%
0.08% 0.56% 0.42% -0.14% -0.28%
-0.58% -0.02% 0.25% 0.42% 0.04%
-0.96% 0.13% -0.30% -0.49%
2008
-0.25% 4.08% -5.27% -5.03% 2.89%
-1.27% -2.20% -5.19% 6.92% -4.17%
-2.58% 0.98% -6.12%
1.69% -0.37%
-0.01%
1.24% 0.01%
1.13% 0.22% 0.21% -0.53% 0.19%
-0.50% 1.20% -2.94% -0.06% -1.43%
0.21%
-0.08% -1.11% -0.12% -0.11% 1.15% 0.27%
0.22% -0.35% 0.17% 0.84% 0.31%
0.08%
-0.02% -0.27%
0.39% 0.28%
0.39% 0.68% 0.34%
2004 0.03% 1.12% 1.62% 0.39%
0.41% -0.10% 0.12% 0.87% 0.11%
-0.32% 0.22% -0.14% -0.37% -0.53%
0.44% 0.70% -0.15% -0.45%
0.75% -2.53% 0.61% 0.12% -1.37%
-1.50% 0.63% -0.14% 0.49% 1.67%
5.61% 0.66% 3.53%
2009
2010
0.65% 0.24% 0.10% 1.92% 0.25%
0.87% 0.37% 1.93% 0.39%
2.22% -0.01% 0.50% -1.03% 0.57%
1.45% 0.09% -0.05% -1.34% -0.32%
1.36% -0.05% 0.45%
-0.21% -0.81% 0.44% -0.42% -1.18%
-0.12% -1.62% 0.02% 1.54% 0.25%
-0.16% -1.43% 1.49%
2011 -2.79% 1.61% 1.88% -0.63%
0.63% 1.17% -3.67% 0.86% 1.95%
-0.96% 0.48% -1.66% -1.68% -0.04%
-1.86% -0.41% -2.21%
-1.72% 0.96%
-8.93% 3.99% 2.58% -2.93% 3.65%
-0.25% 1.44% 1.19% -2.85% 0.70%
-1.27% 5.14% -0.96% -2.12% 0.29%
-0.66% 0.58% 0.37%
0.70% -0.55% 0.11% -1.18% 0.58%
-1.83% -0.97% 0.58%
1.05% 0.36% 0.23% 0.53%
0.15% 2.44% 1.42%
0.12% -0.14% 0.02% -1.00%
0.89% -1.43% 0.15%
0.22% 0.79% -2.37% -1.22% 0.17%
0.01% -0.40% -1.39% -0.16% 0.48%
1.99% 0.07% 0.23%
-0.14% -0.61% 2.16% 1.28% 0.26%
-0.13% 0.05% 0.76% 0.60%
0.00% 0.09% -0.51% 0.62% 0.08%
0.25% 0.60% 0.34% -0.16%
2.92% 0.22% 4.33% -0.19% -0.02%
1.03% 0.11% 0.20% -2.11% 1.69%
-1.49% -0.87% -1.13% 0.32% 0.32%
-1.17% 2.98% 0.19% 0.83% 0.90%
-0.20% -0.52% 0.79% 0.43% 0.02%
-0.47% -0.17% 0.16% 0.33% 0.29%
0.03% 0.65% 0.04% -0.63% -0.41%
1.19% 1.15% -0.76% 0.55% -0.94%
-0.24%
0.06% 0.08% 0.10% -0.15% -0.02%
0.01% -1.25% 1.07% -0.43%
2013 0.29%
0.36% -0.28% 0.43% -1.32% 1.34%
0.07% -0.24% 0.81% 0.48% 0.42%
-0.37% -0.20% -0.36% 0.81% 0.50%
2014
-0.01% -0.28% 0.57% 0.38% 0.03%
0.31% 0.07% -0.07% 0.05% 0.02%
0.07% 0.51% -0.15% 0.20% 0.52%
1.30%
-0.27% -0.75%
0.38% 1.21% 0.03% -0.84% 0.55%
2012 1.09% -0.94%
-0.48% -0.12% -1.10%
1.69%
-0.13% 0.01% 0.25%
0.29% -0.12% 0.28%
2015 0.67% 0.79% -0.35% -0.11% -0.34%
-0.98% 0.15% -0.32% -1.40% -0.91%
1.49% -0.13% 1.62% -0.11% 0.37%
-0.12% 0.12% -0.01%
-0.25%
0.18% -0.32% -1.13% -0.38% -0.01%
0.63% -0.31% 1.66% -0.06% 0.48%
0.53% 0.29% 0.47% -0.03%
-0.02% 0.40%
2.22% 0.38% 1.11% 0.20% -0.14%
-0.01% 0.75% -0.16% 0.47% -0.24%
0.75% 0.22% 0.08% 0.39%
0.06%
-0.08%
-0.27% -0.32% -0.13% -0.43% 1.12%
2016 -0.68% -0.65% -0.44% -0.17%
-0.68% 0.64% 0.38% -0.12% 0.17%
-0.73% -0.02% -1.64% 0.45% -1.62%
-0.63% -0.85% 2.04% 2.40% 0.46%
0.38% 0.17% -0.01%
-0.46% 1.07% -1.10% -1.44% 1.83%
-0.70% -0.65% -0.77% 0.23% -1.94%
0.48% 1.06% 1.45% -1.50% -1.78%
0.78% 0.88% 1.24% -0.16%
-0.53% 0.13% -0.27% -0.35% 0.04%
0.58% 0.34% 1.32% 0.22% 0.59%
-0.11% 0.65% -0.81% 0.39% -0.18%
0.20% 0.36% -0.25% -0.19% 0.13%
0.33%
0.09% -0.49% -1.03%
-0.22% 1.06% -0.72% -0.94%
0.22% -0.84% -0.03% -0.46%
Anexo Tasa de Descuento Tasa de Descuento: Prima de Riesgo Perú Year 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958
Fuente: Damodaran 2017
222
Annual Returns on Investments in S&P 500 3-month T.Bill 10-year T. Bond 43.81% 3.08% 0.84% -8.30% 3.16% 4.20% -25.12% 4.55% 4.54% -43.84% 2.31% -2.56% -8.64% 1.07% 8.79% 49.98% 0.96% 1.86% -1.19% 0.32% 7.96% 46.74% 0.18% 4.47% 31.94% 0.17% 5.02% -35.34% 0.30% 1.38% 29.28% 0.08% 4.21% -1.10% 0.04% 4.41% -10.67% 0.03% 5.40% -12.77% 0.08% -2.02% 19.17% 0.34% 2.29% 25.06% 0.38% 2.49% 19.03% 0.38% 2.58% 35.82% 0.38% 3.80% -8.43% 0.38% 3.13% 5.20% 0.57% 0.92% 5.70% 1.02% 1.95% 18.30% 1.10% 4.66% 30.81% 1.17% 0.43% 23.68% 1.48% -0.30% 18.15% 1.67% 2.27% -1.21% 1.89% 4.14% 52.56% 0.96% 3.29% 32.60% 1.66% -1.34% 7.44% 2.56% -2.26% -10.46% 3.23% 6.80% 43.72% 1.78% -2.10%
Compounded Value of $ 100 Stocks T.Bills T.Bonds Stocks - Bills 40.73% $ 143.81 $ 103.08 $ 100.84 -11.46% $ 131.88 $ 106.34 $ 105.07 -29.67% $ 98.75 $ 111.18 $ 109.85 -46.15% $ 55.46 $ 113.74 $ 107.03 -9.71% $ 50.66 $ 114.96 $ 116.44 49.02% $ 75.99 $ 116.06 $ 118.60 -1.51% $ 75.09 $ 116.44 $ 128.05 46.57% $ 110.18 $ 116.64 $ 133.78 31.77% $ 145.38 $ 116.84 $ 140.49 -35.64% $ 94.00 $ 117.19 $ 142.43 29.21% $ 121.53 $ 117.29 $ 148.43 -1.14% $ 120.20 $ 117.33 $ 154.98 -10.70% $ 107.37 $ 117.36 $ 163.35 -12.85% $ 93.66 $ 117.46 $ 160.04 18.84% $ 111.61 $ 117.85 $ 163.72 24.68% $ 139.59 $ 118.30 $ 167.79 18.65% $ 166.15 $ 118.75 $ 172.12 35.44% $ 225.67 $ 119.20 $ 178.67 -8.81% $ 206.65 $ 119.65 $ 184.26 4.63% $ 217.39 $ 120.33 $ 185.95 4.68% $ 229.79 $ 121.56 $ 189.58 17.20% $ 271.85 $ 122.90 $ 198.42 29.63% $ 355.60 $ 124.34 $ 199.27 22.20% $ 439.80 $ 126.18 $ 198.68 16.48% $ 519.62 $ 128.29 $ 203.19 -3.10% $ 513.35 $ 130.72 $ 211.61 51.60% $ 783.18 $ 131.98 $ 218.57 30.94% $ 1,038.47 $ 134.17 $ 215.65 4.88% $ 1,115.73 $ 137.60 $ 210.79 -13.69% $ 999.05 $ 142.04 $ 225.11 $ 1,435.84 $ 144.57 $ 220.39 41.94%
Premiums Stocks - Bonds Historical risk premium 42.98% -12.50% -29.66% -41.28% -17.43% 48.13% -9.15% 42.27% 26.93% -36.72% 25.07% -5.51% -16.08% -10.75% 16.88% 22.57% 16.45% 32.02% -11.56% 4.28% 3.75% 13.64% 30.38% 23.97% 15.88% -5.35% 49.27% 33.93% 9.70% -17.25% 45.82%
Anexo Tasa de Descuento Tasa de Descuento: Prima de Riesgo Perú Year 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989
Fuente: Damodaran 2017
223
Annual Returns on Investments in S&P 500 3-month T.Bill 10-year T. Bond 12.06% 3.26% -2.65% 0.34% 3.05% 11.64% 26.64% 2.27% 2.06% -8.81% 2.78% 5.69% 22.61% 3.11% 1.68% 16.42% 3.51% 3.73% 12.40% 3.90% 0.72% -9.97% 4.84% 2.91% 23.80% 4.33% -1.58% 10.81% 5.26% 3.27% -8.24% 6.56% -5.01% 3.56% 6.69% 16.75% 14.22% 4.54% 9.79% 18.76% 3.95% 2.82% -14.31% 6.73% 3.66% -25.90% 7.78% 1.99% 37.00% 5.99% 3.61% 23.83% 4.97% 15.98% -6.98% 5.13% 1.29% 6.51% 6.93% -0.78% 18.52% 9.94% 0.67% 31.74% 11.22% -2.99% -4.70% 14.30% 8.20% 20.42% 11.01% 32.81% 22.34% 8.45% 3.20% 6.15% 9.61% 13.73% 31.24% 7.49% 25.71% 18.49% 6.04% 24.28% 5.81% 5.72% -4.96% 16.54% 6.45% 8.22% 31.48% 8.11% 17.69%
Compounded Value of $ 100 Stocks T.Bills T.Bonds Stocks - Bills 8.80% $ 1,608.95 $ 149.27 $ 214.56 -2.71% $ 1,614.37 $ 153.82 $ 239.53 24.37% $ 2,044.40 $ 157.30 $ 244.46 -11.59% $ 1,864.26 $ 161.67 $ 258.38 19.50% $ 2,285.80 $ 166.70 $ 262.74 12.91% $ 2,661.02 $ 172.54 $ 272.53 8.50% $ 2,990.97 $ 179.28 $ 274.49 -14.81% $ 2,692.74 $ 187.95 $ 282.47 19.47% $ 3,333.69 $ 196.10 $ 278.01 5.55% $ 3,694.23 $ 206.41 $ 287.11 -14.80% $ 3,389.77 $ 219.96 $ 272.71 -3.12% $ 3,510.49 $ 234.66 $ 318.41 9.68% $ 4,009.72 $ 245.32 $ 349.57 14.80% $ 4,761.76 $ 255.01 $ 359.42 -21.03% $ 4,080.44 $ 272.16 $ 372.57 -33.68% $ 3,023.54 $ 293.33 $ 379.98 31.01% $ 4,142.10 $ 310.90 $ 393.68 18.86% $ 5,129.20 $ 326.35 $ 456.61 -12.11% $ 4,771.20 $ 343.09 $ 462.50 -0.42% $ 5,081.77 $ 366.87 $ 458.90 8.58% $ 6,022.89 $ 403.33 $ 461.98 20.52% $ 7,934.26 $ 448.58 $ 448.17 -19.00% $ 7,561.16 $ 512.73 $ 484.91 9.41% $ 9,105.08 $ 569.18 $ 644.04 13.89% $ 11,138.90 $ 617.26 $ 664.65 -3.47% $ 11,823.51 $ 676.60 $ 755.92 23.75% $ 15,516.60 $ 727.26 $ 950.29 12.46% $ 18,386.33 $ 771.15 $ 1,181.06 0.09% $ 19,455.08 $ 815.27 $ 1,122.47 10.09% $ 22,672.40 $ 867.86 $ 1,214.78 23.37% $ 29,808.58 $ 938.24 $ 1,429.72
Premiums Stocks - Bonds Historical risk premium 14.70% -11.30% 6.1% 24.58% 6.6% -14.51% 6.0% 20.93% 6.4% 12.69% 6.5% 11.68% 6.7% -12.88% 6.1% 25.38% 6.6% 7.54% 6.6% -3.23% 6.3% -13.19% 5.9% 4.43% 5.9% 15.94% 6.1% -17.97% 5.5% -27.89% 4.6% 33.39% 5.2% 7.85% 5.2% -8.27% 4.9% 7.29% 5.0% 17.85% 5.2% 34.72% 5.7% -12.90% 5.4% -12.40% 5.1% 19.14% 5.3% -7.59% 5.1% 5.52% 5.1% -5.79% 5.0% 10.77% 5.1% 8.31% 5.1% 13.78% 5.2%
Anexo Tasa de Descuento Tasa de Descuento: Prima de Riesgo Perú Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016
Annual Returns on Investments in S&P 500 3-month T.Bill 10-year T. Bond -3.06% 7.55% 6.24% 30.23% 5.61% 15.00% 7.49% 3.41% 9.36% 9.97% 2.98% 14.21% 1.33% 3.99% -8.04% 37.20% 5.52% 23.48% 22.68% 5.02% 1.43% 33.10% 5.05% 9.94% 28.34% 4.73% 14.92% 20.89% 4.51% -8.25% -9.03% 5.76% 16.66% -11.85% 3.67% 5.57% -21.97% 1.66% 15.12% 28.36% 1.03% 0.38% 10.74% 1.23% 4.49% 4.83% 3.01% 2.87% 15.61% 4.68% 1.96% 5.48% 4.64% 10.21% -36.55% 1.59% 20.10% 25.94% 0.14% -11.12% 14.82% 0.13% 8.46% 2.10% 0.03% 16.04% 15.89% 0.05% 2.97% 32.15% 0.07% -9.10% 13.52% 0.05% 10.75% 1.36% 0.21% 1.28% 11.74% 0.51% 0.69%
Risk Premium Desv. Est. BVL Desv. Est. S&P 500 Fuente: Yahoo Finance
224
6.24% 1.40% 1.21%
Compounded Value of $ 100 Stocks T.Bills T.Bonds Stocks - Bills -10.61% $ 28,895.11 $ 1,009.08 $ 1,518.87 24.62% $ 37,631.51 $ 1,065.69 $ 1,746.77 4.09% $ 40,451.51 $ 1,101.98 $ 1,910.30 6.98% $ 44,483.33 $ 1,134.84 $ 2,181.77 -2.66% $ 45,073.14 $ 1,180.07 $ 2,006.43 31.68% $ 61,838.19 $ 1,245.15 $ 2,477.55 17.66% $ 75,863.69 $ 1,307.68 $ 2,512.94 28.05% $ 100,977.34 $ 1,373.76 $ 2,762.71 23.61% $ 129,592.25 $ 1,438.70 $ 3,174.95 16.38% $ 156,658.05 $ 1,503.58 $ 2,912.88 -14.79% $ 142,508.98 $ 1,590.23 $ 3,398.03 -15.52% $ 125,622.01 $ 1,648.63 $ 3,587.37 -23.62% $ 98,027.82 $ 1,675.96 $ 4,129.65 27.33% $ 125,824.39 $ 1,693.22 $ 4,145.15 9.52% $ 139,341.42 $ 1,714.00 $ 4,331.30 1.82% $ 146,077.85 $ 1,765.59 $ 4,455.50 10.94% $ 168,884.34 $ 1,848.18 $ 4,542.87 0.84% $ 178,147.20 $ 1,933.98 $ 5,006.69 -38.14% $ 113,030.22 $ 1,964.64 $ 6,013.10 25.80% $ 142,344.87 $ 1,967.29 $ 5,344.65 14.69% $ 163,441.94 $ 1,969.84 $ 5,796.96 2.07% $ 166,871.56 $ 1,970.44 $ 6,726.52 15.84% $ 193,388.43 $ 1,971.42 $ 6,926.40 32.08% $ 255,553.31 $ 1,972.72 $ 6,295.79 13.47% $ 290,115.42 $ 1,973.77 $ 6,972.34 1.15% $ 294,060.84 $ 1,977.91 $ 7,061.89 11.23% $ 328,584.46 $ 1,988.00 $ 7,110.65
Premiums Stocks - Bonds Historical risk premium -9.30% 5.0% 15.23% 5.1% -1.87% 5.0% -4.24% 4.9% 9.36% 5.0% 13.71% 5.1% 21.25% 5.3% 23.16% 5.5% 13.42% 5.6% 29.14% 6.0% -25.69% 5.5% -17.42% 5.2% -37.08% 4.5% 27.98% 4.8% 6.25% 4.8% 1.97% 4.8% 13.65% 4.9% -4.73% 4.8% -56.65% 3.9% 37.05% 4.3% 6.36% 4.3% -13.94% 4.1% 12.92% 4.2% 41.25% 4.6% 2.78% 4.6% 0.08% 4.5% 11.05% 4.6%
Desviación estándar de la variación de los rendimientos del IGVBL desde 1995 hasta 2016. Desviación estándar de la variación de los rendimientos de S&P 500 desde 1995 hasta 2016.
Anexo Tasa de Descuento Comparables para cálculo del Beta País
Compañía
Descripción
1
Contacto aprobado por MDB
Tasa IR efectiva
Deuda / Patrimonio
Beta apalancada
Beta desapalancada
Canadá Lundin Mining Corp
Minera diversificada con operaciones en Chile, Estados Unidos, Portugal y Suecia. Produce principalmente cobre (66%), níquel (8%) y zinc (13% de las ventas al 2016).
3,872
38%
29%
1.74
1.48
Australia OZ Minerals Ltd
OZ Minerals Limited explora principalmente para depósitos de cobre, oro y plata. Posee y opera la mina Prominent Hill situada en el norte de Australia del Sur.
1,834
21%
0%
1.21
1.21
Canadá Hudbay Minerals Inc
Posee cuatro minas polimetálicas, cuatro concentradores de mineral, dos planta de producción de zinc (25% de la producción total) en Canadá y Cusco; y un proyecto de cobre en Arizona, Estados Unidos.
1,526
20%
68%
2.11
1.37
Uno de los mayores productores mundiales de zinc, plomo y plata. Operaciones ubicadas en la sierra de Perú que incluyen las unidades operativas Yauli, Chungar, Alpamarca y Cerro de Pasco.
1,232
31%
89%
1.56
0.97
Perú
Volcan Cia Minera SAA
Canadá Trevali
Trevali Mining Corp. es una minera canadiense que explota metales básicos, especialmente zinc, y que tiene operaciones en Canadá y Perú.
343
42%
34%
2.14
1.79
Cánada Teck Resources
Empresa con sede en Vancouver. Es un importante productor de cobre en America y tercer productor de concentrado de Zinc. Tienen participación en 12 minas ubicadas en Canadá, Estados Unidos, Chile y Perú. Cartera de exploración en cobre, zinc y oro.
12,147
34%
52%
2.34
1.74
Chile
Polonia
Antofagasta PLC
Antofagasta plc es una empresa chilena que opera en diversos sectores de la economía. Las operaciones mineras del grupo (Los Pelambres, Centinela, Antucoya y Zaldívar) producen cobre (72% de producción al 2016) con subproductos de oro (27%) y molibdeno (1%).
8,416
43%
37%
1.25
1.03
KGHM (KGHM Polska Miedź)
Compañía minera polaca, con sede en Lubin. Líder de producción, KGHM es el octavo jugador más grande con reservas de cobre del mundo: 22,7 millones de toneladas de cobre in situ. Alrededor del 15% de los ingresos de KGHM son generados por la venta de plata.
4,638
38%
38%
1.32
1.06
Promedio Mediana Mínimo Máximo Fuente: Bloomberg, al 06/01/2017
225
Cap. bursátil (US$ MM)
1.71 1.65 1.21 2.34
1.33 1.29 0.97 1.79
Anexo Tasa de Descuento Comparables para cálculo del Beta – Lundin Mining Corpo
Fuente: Bloomberg
226
Anexo Tasa de Descuento Comparables para cálculo del Beta – Oz Minerals
Fuente: Bloomberg
227
Anexo Tasa de Descuento Comparables para cálculo del Beta – Hudbay Minerals
Fuente: Bloomberg
228
Anexo Tasa de Descuento Comparables para cálculo del Beta – Volcan
Fuente: Bloomberg
229
Anexo Tasa de Descuento Comparables para cálculo del Beta – Trevali
Fuente: Bloomberg
230
Anexo Tasa de Descuento Comparables para cálculo del Beta – Teck Resources
Fuente: Bloomberg
231
Anexo Tasa de Descuento Comparables para cálculo del Beta – Antofagasta PLC
Fuente: Bloomberg
232
Anexo Tasa de Descuento Comparables para cálculo del Beta – KGHM
Fuente: Bloomberg
233
Anexo Ajuste para Acciones de Inversión Calculo de Prima por Derechos Políticos: Estudios realizados • Desde un punto de vista empírico, en el transcurso de los últimos años se han realizado múltiples estudios tanto en
USA, Europa y Asia los cuales realizan estimaciones sobre el valor de los derechos políticos con tipos de acciones diferentes, arrojando resultados distintos dependiendo del país, acciones, momento de evaluación, concentración del accionariado, características del marco regulatorio, nivel de liquidez de las diferentes acciones, entre otros. • Un estudio realizado por Ronald C. Lease, John J. McConnell y Wayne H Mikkelson en 1984 sobre 6 compañías cuyas
acciones con y sin voto transaron en el mercado americano entre los años 1960-1980, muestra que existe diferencia estadísticamente significativa respecto de los precios de las acciones con derecho a voto y las que no lo tienen. Estas diferencias son observadas tanto en periodos en los que no hay anuncios de compra-venta y/o fusión de dichas empresas como en periodos en los que si los hay (i). • En el estudio de Luigi Zingales en 1994 sobre la Bolsa de Milan, realizó un análisis sobre la prima de acciones con
derecho a voto versus las savings shares, acciones creadas en 1974 con el objeto de promover el accionariado entre pequeños inversionistas entre los años 1987 y 1990 sobre una muestra de entre 64 y 84 empresas que contaban con acciones con y sin derecho. Los resultados mostraban una prima consistente en el tiempo, mostrando que cuando una empresa contaba con un accionista mayoritario controlador, la prima tendía a disminuir, incrementándose cuando la expectativa de cambio de control se incrementaba, entre otros aspectos (ii). • El estudio realizado por Tatiana Nenova en 2002 buscó medir el valor de los derechos de voto, específicamente en los
paquetes controladores, con respecto a 664 empresas con acciones con derecho a voto y sin derecho a voto transadas en sus respectivas bolsas de valores en 18 países diferentes en el año 1997. De acuerdo con el análisis efectuado en países como USA, Australia, Francia, Italia, Brasil, Finlandia, Alemania, Hong Kong y UK entre otros, el estudio demuestra, entre otros aspectos, que existe una prima y esta varia en forma importante entre todos los países, dependiendo de los marcos legales existentes, protecciones al inversionista, regulaciones sobre adquisiciones, entre otros aspectos.
(i) Ronald C. Lease, John J. McConnell y Wayne H Mikkelson, “The market Valuation of Differential Voting Rights in Closely Held Corporations”, , Journal of Business, Vol. 57, N°4 8 Oct 1984 (iii) Luigi Zingales, “The Value of the Voting Right: A Study of the Milan Stock Exchange Experience”, , The Review of Financial Studies, Spring 1994 (iii) Tatiana Nenova, “The value of corporate voting rights and control: A cross country analysis” The World Bank, March 2002
234
Anexo Ajuste para Acciones de Inversión Calculo de Prima por Derechos Políticos: Estudios realizados • Samuel Hauser y Beni Lauterbach (2004) realizaron un estudio sobre el valor implícito del derecho a voto en la bolsa
de Tel Aviv. El estudio se basaba en 84 empresas que presentaron propuestas de unificación de acciones. La diferencia entre las acciones era que la comunes tenían cinco veces más voto que las acciones de voto disminuido (no existía diferencia en cuanto a los derechos económicos). Esta propuesta de unificación implícitamente representaban una transacción de compraventa de derechos políticos entre ambos grupos de accionistas (i) . • Aswath Damodaran en 2005 presenta un enfoque teórico de la valorización de la prima por derechos políticos basado
en la probabilidad de que se efectúe un cambio en la gerencia de la empresa y el valor adicional que pueda generar. Menciona que la diferencia de valor entre las debería tender a cero en los casos en que no existe posibilidad de cambio de management. Si bien este enfoque se debiera cumplir en los casos límite en que no exista posibilidad alguna de futuros cambios en el control, en la práctica es difícil sustentar que tales casos existen o que la prima desaparezca por completo (iii). • En esta linea, existen diversos estudios adicionales realizados sobre el mismo tema como por ejemplo los de Kee H.
Cheng y Keong-Kuk Kim (1998), Rydqvist (1996), entre otros, los mismos que a través de diversas metodologías buscaron determinar prima por derechos políticos y/o prima de control entre diferentes acciones. • Si bien los resultados de los informes mencionados son diferentes en cuanto a la magnitud de la Prima por Derechos
Políticos, todos coinciden en que ésta existe, aún en los casos en que el control está en manos de un claro grupo controlador y no existen expectativas de variación en el grupo controlador. En nuestra opinión, la extrapolación de Primas de Derechos Políticos para establecer una regla general no es recomendable ya que las Primas varían en el tiempo, son diferentes entre empresas y están influenciadas por sus respectivos marcos regulatorios en sus respectivos países, entre otros factores. Pese a esta limitación, de los diversos estudios se puede inferir que si bien no existe uniformidad entre la forma de valorizar la prima en los diferentes estudios y países, los estudios coinciden en que la Prima por Derechos Políticos existe y tiene un valor posible de ser estimado empíricamente.
(i) (ii)
235
Samuel Hauser, Beni Lauterbach, “The Value of Voting Rights to Majority Shareholders: Evidence from Dual Class Stock Unifications”, European Corporate Governance Institute, January 2004 Aswath Damodaran, “The Value of Control: Implications for Control Premia, Minority Discounts and Voting Share Differentials”,, Stern School of Business, June 2005
Anexo Ajuste para Acciones de Inversión Calculo de Prima por Derechos Políticos: Análisis ATACOCHA •
Para este análisis se optó como metodología, por realizar una evaluación empírica de la Prima por Derechos Políticos de las propias acciones de ATACOCHA.
•
Con este objeto se realizó una evaluación histórica de la Prima por Derechos Políticos basado principalmente en la metodología utilizada por Ronald C. Lease, John J. McConnell y Wayne H Mikkelson mencionado anteriormente. Debemos recalcar que no se tomaron los resultados de dicho informe, sino que el análisis efectuado se basó en su metodología de análisis, con lo cual se estimó la Prima por Derechos Políticos especifica de las acciones de ATACOCHA.
•
La evaluación consistió en un análisis empírico de la prima asignada por el mercado local a las acciones comunes clase A por sobre las acciones clase B, utilizando para ello la observación de la relación entre las cotizaciones de dichas acciones en aquellas sesiones de rueda de bolsa en las que las dos acciones cotizaban (Eventos). Para este analisis se excluyeron de la muestra las transacciones de Milpo y empresas vinculadas.
•
El resultado obtenido muestra que el diferencial entre ambas acciones comparadas varía entre 1.08 y 1.50 dentro del periodo evaluado. Para estimar la prima promedio se calculó un promedio ponderado de los resultados lo que nos arrojó como resultado que el mercado asignaba una prima promedio de 1.29. Año
Eventos
06/01/2017
1
1.09
2016
10
1.08
2015
3
1.50
2014
13
1.28
2013
7
1.40
2012
27
1.34
Promedio Ponderado
Fuente: SMV Elaboración: Summa
236
Prima
1.29
Anexo Valor Patrimonial Valor Patrimonial de Otras Subsidiarias Estado de Situación Financiera al 31 de Dicimebre del 2016 US$ 000
MINERA PAMPA DE COBRE S.A.
MINERA RAYROCK LTDA.
US$ 000
Activos 869
Cuentas por cobrar comerciales (neto)
-
Cuentas por cobrar a relacionadas
92
1,784
Otros pasivos financieros
-
Cuentas por pagar comerciales
-
Cuentas por pagar relacionadas
3,553
2,218
AInstrumentos financieros derivados
-
-
Inventarios
-
Gastos pagados por anticipado
MINERA RAYROCK LTDA.
Pasivo
Efectivo y equivalentes de efectivo
Otras cuentas por cobrar
MINERA PAMPA DE COBRE S.A.
-
-
2,101 20
Instrumentos financieros derivados
-
Impuesto a la renta y minero
-
-0
Beneficios a empleados
243
Otras cuentas por pagar
-81 41 -
409
4
4,923
4,006
Inversiones
-
-
Propiedades, planta y equipo (neto)
226
Activos intangibles (neto)
-
-
Otros pasivos financieros
-
-
Otras cuentas por cobrar
-
-
Pasivos por impuestos a las ganancias diferidos
-
-
Impuesto a la renta diferido
-39
-
Ingresos diferidos
-
-
Total Activos No Corrientes
188
Provisiones
14,145
2,296
Total Pasivos No Corrientes
14,145
2,296
76,441
61,650
-
-
1,628
-
Total Activos Corrientes Activos No Corrientes
Ingresos diferidos Provisiones Total Pasivos Corrientes
0
0
68
6
-
-
-
-
2,432
-35
Pasivos No Corrientes
Patrim onio Neto Capital Acciones de Inversión Reserva Legal Instrumentos de cobertura
-89,535
-59,905
Total Patrim onio Neto atribuible a la Matriz
-11,466
1,744
Total Patrim onio Neto
Fuente: EE.FF. No Auditados de Milpo S.A.A y Subsidiarias
237
5,111
4,006
-
Resultados Acumulados
Interés no controlante
TOTAL DE ACTIVOS
-
TOTAL PASIVO Y PATRIMONIO NETO
-
-
-11,466
1,744
5,111
4,006
Anexo Fuentes de Información Fuentes de Información -Bibliografía
238
•
Página web de la Superintendencia de Mercado de Valores (SMV): www.smb.gob.pe
•
Página web del Banco Central de Reserva del Perú (SMV): www.bcrp.gob.pe
•
Bloomberg
•
Página web Bolsa de Valores de Lima (BVL): www.bvl.com.pe
•
Página web del Instituto Nacional de Estadística e Información (INEI): www.inei.gob.pe
•
Página web de Aswath Damodaran: http://pages.stern.nyu.edu/~adamodar/
•
Memoria Anual de Compañía Minera Atacocha S.A. (2013-2016)
•
Estados Financieros Auditados Individuales de Atacocha (2013-2016)
•
Memoria Anual de Compañía Minera Milpo Individual S.A.A. (2013-2016)
•
Estados Financieros Auditados Milpo Individual (2013-2016)
•
Memoria Anual de Compañía Minera Milpo Andina Perú S.A.C. (2013-2015)
•
Estados Financieros Auditados Milpo Andina Perú (2013-2015)
•
Ministerio de Energía y Minas (MEM)
•
Informe de Milpo respecto de condiciones de ventas sus concentrados
•
Reporte "2017 Global Commodities Outlook" (23-11-16), JP Morgan
•
Reporte "Industrial Metals Outlook" (07-12-16), Credit Suisse
Anexo Fuentes de Información Fuentes de Información -Bibliografía
239
•
Reporte "2017 Outlook – Metals and mining upgraded to O/W" (30-11-16), UBS
•
Reporte "Markets Research – Metals and mining " (20-12-16), Deutsche Bank
•
Reportes de Kallpa, Scotiabank.
•
Ronald C. Lease, John J. McConnell y Wayne H Mikkelson, “The market Valuation of Differential Voting Rights in Closely Held Corporations”, , Journal of Business, Vol. 57, N°4 8 Oct 1984
•
Luigi Zingales, “The Value of the Voting Right: A Study of the Milan Stock Exchange Experience”, , The Review of Financial Studies, Spring 1994
•
Tatiana Nenova, “The value of corporate voting rights and control: A cross country analysis” The World Bank, March 2002
•
Samuel Hauser, Beni Lauterbach, “The Value of Voting Rights to Majority Shareholders: Evidence from Dual Class Stock Unifications”, European Corporate Governance Institute, January 2004
•
Aswath Damodaran, “The Value of Control: Implications for Control Premia, Minority Discounts and Voting Share Differentials”, Stern School of Business, June 2005
•
J.G. Stone and P.G. Dunn, "Ore Reserve Estimates in the Real World", SOCIETY OF ECONOMIC GEOLOGISTS, INC, 2012
El presente documento ha sido preparado por SUMMA Asesores Financieros S.A.(en adelante, “SUMMA”) para uso exclusivo de Compañía Minera Milpo S.A.A. (en adelante “La Empresa”) a fin de determinar el precio a ser tomado en cuenta por Compañía Minera Milpo sobre las acciones Compañía Minera Milpo S.A.A. para efectos de la Oferta Pública de Compra de Acciones Comunes con derecho a voto emitidas por Compañía Minera Milpo S.A.A. de acuerdo con el artículo 31°, inciso c) del Reglamento de Oferta Pública de Adquisición y Compra de Valores por Exclusión y bajo las metodologías establecidas en el articulo 37° de dicho reglamento. Su difusión o puesta a disposición de terceros se efectuará a instancias y bajo total responsabilidad de Compañía Minera Milpo S.A.A. SUMMA ha elaborado este informe sobre la base de información proporcionada por representantes de Compañía Minera Milpo S.A.A, y representantes designados por éstos, e información adicional obtenida por los analistas de SUMMA de diversas fuentes consideradas confiables y/o relevantes. SUMMA no garantiza, expresa o implícitamente, la exactitud, suficiencia, veracidad o integridad de la información recibida al no haber realizado una verificación independiente de la misma. SUMMA se exime expresamente de cualquier obligación o responsabilidad originada, parcial o totalmente, a partir de dicha información, sus errores u omisiones. Este informe presenta la valorización de las acciones de Compañía Minera Milpo S.A.A. al 06 de Enero de 2017. Este informe no constituye una recomendación de precio para los accionistas minoritarios de Compañía Minera Milpo S.A.A. SUMMA recomienda a los accionistas realizar su propio análisis e investigación.
240
SUMMA Asesores Financieros S.A. Av. Benavides 1238, Of 902 Miraflores, Lima 18
T (511) 446 5252 www.summa.com.pe