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Portafolio óptimo - Markowitz (Excel), Ejercicios de Finanzas

Este ejercicio hecho en Excel muestra como hallar el portafolio optimo; así como también como la cartera eficiente gráficamente.

Tipo: Ejercicios

2018/2019
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Sector: finanzas
Banco Santander, S.A. (SAN)
Date Close* Dividendos Rentabilidad
1 Apr 29, 2016 5.03 0.057505
2 May 31, 2016 4.75 -5.567%
3 Jun 30, 2016 3.92 -17.474%
4 Jul 29, 2016 4.24 0.061358 9.729%
5 Aug 31, 2016 4.48 5.660%
6 Sep 30, 2016 4.41 -1.563%
7 Oct 31, 2016 4.84 0.04977 10.879%
8 Nov 30, 2016 4.52 -6.612%
9 Dec 30, 2016 5.18 14.602%
10 Jan 31, 2017 5.56 0.059279 8.480%
11 Feb 28, 2017 5.41 -2.698%
12 Mar 31, 2017 6.07 12.200%
13 Apr 28, 2017 6.52 0.058822 8.383%
14 May 31, 2017 6.54 0.307%
15 Jun 30, 2017 6.69 2.294%
16 Jul 31, 2017 6.82 1.943%
17 Aug 31, 2017 6.51 -4.545%
18 Sep 29, 2017 6.94 0.069438 7.672%
19 Oct 31, 2017 6.74 0.046836 -2.207%
20 Nov 30, 2017 6.5 -3.561%
21 Dec 29, 2017 6.54 0.615%
22 Jan 31, 2018 7.41 0.072222 14.407%
23 Feb 28, 2018 6.87 -7.287%
24 Mar 29, 2018 6.55 -4.658%
25 Apr 30, 2018 6.52 -0.458%
26 May 31, 2018 5.46 0.073326 -15.133%
27 Jun 29, 2018 5.34 -2.198%
28 Jul 31, 2018 5.59 0.075458 6.095%
29 Aug 31, 2018 4.99 -10.733%
30 Sep 28, 2018 5 0.200%
31 Oct 31, 2018 4.78 0.040401 -3.592%
32 Nov 30, 2018 4.76 -0.418%
33 Dec 31, 2018 4.48 -5.882%
34 Jan 31, 2019 4.74 0.074581 7.468%
35 Feb 28, 2019 4.86 2.532%
36 Mar 29, 2019 4.63 -4.733%
37 Apr 30, 2019 4.99 0.073066 9.353%
38 May 31, 2019 4.33 -13.226%
Sector: textil
Industria de Diseño Textil, S.A. (ITX.MC)
Date Close* Dividendos Rentabilidad
Apr 29, 2016 28.03 0.3
May 31, 2016 30.36 8.313%
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Sector: finanzas

Banco Santander, S.A. (SAN)

Date Close* Dividendos Rentabilidad 1 Apr 29, 2016 5.03 0. 2 May 31, 2016 4.75 -5.567% 3 Jun 30, 2016 3.92 -17.474% 4 Jul 29, 2016 4.24 0.061358 9.729% 5 Aug 31, 2016 4.48 5.660% 6 Sep 30, 2016 4.41 -1.563% 7 Oct 31, 2016 4.84 0.04977 10.879% 8 Nov 30, 2016 4.52 -6.612% 9 Dec 30, 2016 5.18 14.602% 10 Jan 31, 2017 5.56 0.059279 8.480% 11 Feb 28, 2017 5.41 -2.698% 12 Mar 31, 2017 6.07 12.200% 13 Apr 28, 2017 6.52 0.058822 8.383% 14 May 31, 2017 6.54 0.307% 15 Jun 30, 2017 6.69 2.294% 16 Jul 31, 2017 6.82 1.943% 17 Aug 31, 2017 6.51 -4.545% 18 Sep 29, 2017 6.94 0.069438 7.672% 19 Oct 31, 2017 6.74 0.046836 -2.207% 20 Nov 30, 2017 6.5 -3.561% 21 Dec 29, 2017 6.54 0.615% 22 Jan 31, 2018 7.41 0.072222 14.407% 23 Feb 28, 2018 6.87 -7.287% 24 Mar 29, 2018 6.55 -4.658% 25 Apr 30, 2018 6.52 -0.458% 26 May 31, 2018 5.46 0.073326 -15.133% 27 Jun 29, 2018 5.34 -2.198% 28 Jul 31, 2018 5.59 0.075458 6.095% 29 Aug 31, 2018 4.99 -10.733% 30 Sep 28, 2018 5 0.200% 31 Oct 31, 2018 4.78 0.040401 -3.592% 32 Nov 30, 2018 4.76 -0.418% 33 Dec 31, 2018 4.48 -5.882% 34 Jan 31, 2019 4.74 0.074581 7.468% 35 Feb 28, 2019 4.86 2.532% 36 Mar 29, 2019 4.63 -4.733% 37 Apr 30, 2019 4.99 0.073066 9.353% 38 May 31, 2019 4.33 -13.226% Sector: textil

Industria de Diseño Textil, S.A. (ITX.MC)

Date Close* Dividendos Rentabilidad Apr 29, 2016 28.03 0. May 31, 2016 30.36 8.313%

Jun 30, 2016 29.91 -1.482% Jul 29, 2016 30.94 3.444% Aug 31, 2016 31.76 2.650% Sep 30, 2016 33 3.904% Oct 31, 2016 31.84 0.16 -3.030% Nov 30, 2016 32.28 1.382% Dec 30, 2016 32.43 0.465% Jan 31, 2017 30.53 -5.859% Feb 28, 2017 30.32 -0.688% Mar 31, 2017 33.04 8.971% Apr 28, 2017 35.21 0.34 7.597% May 31, 2017 36.4 3.380% Jun 30, 2017 33.61 -7.665% Jul 31, 2017 33.59 -0.060% Aug 31, 2017 31.92 -4.972% Sep 29, 2017 31.89 -0.094% Oct 31, 2017 32.1 0.16 1.160% Nov 30, 2017 29.74 -7.352% Dec 29, 2017 29.05 -2.320% Jan 31, 2018 28.87 -0.620% Feb 28, 2018 24.96 -13.543% Mar 29, 2018 25.43 1.883% Apr 30, 2018 25.78 0.375 2.851% May 31, 2018 27.01 4.771% Jun 29, 2018 29.26 8.330% Jul 31, 2018 28.05 -4.135% Aug 31, 2018 26.05 -7.130% Sep 28, 2018 26.11 0.230% Oct 31, 2018 24.93 0.165 -3.887% Nov 30, 2018 27.09 8.664% Dec 31, 2018 22.35 -17.497% Jan 31, 2019 24.35 8.949% Feb 28, 2019 26.54 8.994% Mar 29, 2019 26.2 -1.281% Apr 30, 2019 26.97 0.44 4.618% May 31, 2019 24.05 -10.827%

Sector: INMOBILIARIA

Viscofan, S.A. (VIS.MC Inmobiliaria Colonial

Sector: transporte

Grifols, S.A. (GRF.MC) International Consolidated Airlines Group

lonial

Rentabilidad 4.867% -2.320% 3.226% -1.042% -2.707% -0.618% -1.555% 0.316% 7.087% 1.471% 1.449% 1.714% 1.685% 5.387% 5.701% 3.797% 2.317% -2.622% -2.815% 4.282% -0.725% 5.718% 8.170% 2.553% -5.705% 6.161% -2.640% 1.085% -3.970% -0.782% 0.000% -8.333% 9.705% 1.456% 1.104% 4.803% 3.229% Airlines Group Rentabilidad 4.613%

MATRIZ DE COVARIANZAS

Acción 1 Acción 2 Acción 3 Acción 4 Acción 5 Acción 1 0.005337^ 0.000661^ 0.000062^ 0.000441^ 0. Acción 2 0.000661^ 0.002259^ -0.000237^ -0.000026^ 0. Acción 3 0.000062^ -0.000237^ 0.003096^ 0.000194^ 0. Acción 4 0.000441^ -0.000026^ 0.000194^ 0.001410^ 0. Acción 5 0.001313^ 0.000599^ 0.001266^ 0.000396^ 0. Acción 6 0.003632^ -0.000279^ 0.001060^ 0.000348^ 0. Acción 7 0.000159^ 0.000374^ 0.001129^ 0.000130^ 0. Acción 8 0.002518^ 0.001144^ -0.000590^ 0.000380^ 0.

VECTOR DE PROPORCIONES DE INVERSION

Acción 1 Acción 2 Acción 3 Acción 4 Acción 5 Peso 0.00% 19.34% 20.92% 33.25% 0.00% DE(Rp) E(Rp) 0 E(Rp) = 0.936781% 2.6502% 0.7782% 2.6105% 0.8213% VAR(Rp) = 0.000640654 2.5708% 0.8718% 2.5311% 0.9368% DE(Rp) = 2.531114% MV 2.4914% 1.0918% 2.5311% 1.2460% Rf = 0.36% 2.5708% 1.2938% 2.6105% 1.3256% 0.227876492 2.6502% 1.3515% 2.6899% 1.3731% CO 2.7296% 1.3897% 2.7693% 1.4035% 2.8090% 1.4158% 2.8487% 1.4268% 2.8884% 1.4370% 2.9281% 1.4469% 2.9678% 1.4498% 3.0075% 1.4514% m = Tg f = f = 1.4000% 1.6000%

0.0000% 0.5000% 1.0000% 0.0000% 0.2000% 0.4000% 0.6000% 0.8000% 1.0000% 1.2000% 1.4000% 1.6000%

Acción 6 Acción 7 Acción 8 0.003632 0.000159 0. -0.000279 0.000374 0. 0.001060 0.001129 -0. 0.000348 0.000130 0. 0.000918 0.001712 0. 0.014545 -0.000278 0. -0.000278 0.002495 0. 0.000880 0.000187 0. Acción 6 Acción 7 Acción 8 SUMA 1.96% 10.71% 13.82% 100.00% Acción 1 Acción 2 Acción 3 Acción 4 Acción 5 Acción 6 Acción 7 0.00% 14.05% 26.40% 27.55% 0.00% 1.41% 9.48% 0.00% 15.48% 24.91% 29.10% 0.00% 1.56% 9.82% 0.00% 17.17% 23.17% 30.91% 0.00% 1.74% 10.21% 0.00% 19.34% 20.92% 33.25% 0.00% 1.96% 10.71% 0.07% 24.50% 15.56% 38.81% 0.00% 2.48% 11.92% 0.01% 29.61% 9.83% 44.59% 0.00% 2.92% 13.04% 0.01% 30.80% 5.70% 47.37% 0.00% 2.85% 13.27% 0.01% 31.61% 2.97% 49.23% 0.00% 2.78% 13.40% 0.01% 32.28% 0.77% 50.75% 0.00% 2.71% 13.49% 0.01% 33.61% 0.00% 52.52% 0.00% 2.24% 11.62% 0.00% 35.06% 0.00% 54.17% 0.00% 1.65% 9.12% 0.01% 36.27% 0.00% 55.55% 0.00% 1.15% 7.02% 0.01% 37.34% 0.00% 56.78% 0.00% 0.71% 5.16% 0.01% 38.46% 0.00% 57.83% 0.00% 0.66% 3.05% 0.01% 39.45% 0.00% 58.81% 0.00% 0.54% 1.19% 0.00% 40.66% 0.00% 59.34% 0.00% 0.00% 0.00% 0.00% 46.79% 0.00% 53.21% 0.00% 0.00% 0.00% 0.00% 50.04% 0.00% 49.96% 0.00% 0.00% 0.00%

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0.5000% 1.0000% 1.5000% 2.0000% 2.5000% 3.0000% 3.5000%

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