Probabilidad Accion ARecesion 20.00% 7.00%Normal 50.00% 7.00%Auge 30.00% 7.00%Re 100.00% 7.00%VAR 0.00%Desv 0.00%

Matriz de Varianzas y CovarianzasA B

A 0.0000%B 0.0000% 0.5025%C 0.0000% 0.0000%

PortafolioPesos Re

Wa 50.00% 7.00%Wb 50.00% 8.50%Rp 100.00% 7.75%

Portafolio ADesv p 3.54% 0.00%Rp 7.75% 7.00%Var p 0.1256% 0.00%

Accion B Accion C rent a-5.00% 0.00% 1.40%10.00% 0.00% 3.50%15.00% 0.00% 2.10%8.50% 0.00% 7.00%0.50% 0.000%7.09% 0.00%

C

0.000%

Var0.00%0.50%

B7.09%8.50%0.50% 0.00% 1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00%

0.00%1.00%2.00%3.00%4.00%5.00%6.00%7.00%8.00%9.00%

PortafolioAccion AAccion BAccion C

rent b rent c var a-1.00% 0.00% 0.00000%5.00% 0.00% 0.00000%4.50% 0.00% 0.00000%8.50% 0.00% 0.000%

0.00% 1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00%0.00%1.00%2.00%3.00%4.00%5.00%6.00%7.00%8.00%9.00%

PortafolioAccion AAccion BAccion C

var b var c cov ab0.36450% 0.00000% 0.00%0.01125% 0.00000% 0.00%0.12675% 0.00000% 0.00%

0.503% 0.000% 0.0000%

0.00% 1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00%0.00%1.00%2.00%3.00%4.00%5.00%6.00%7.00%8.00%9.00%

PortafolioAccion AAccion BAccion C

cov bc cov ac0.00% 0.00%0.00% 0.00%0.00% 0.00%

0.0000% 0.0000%

Desv.Stand A 0.0000%Desv.Stand B 7.0887%Rent A 7.0000% Cov AB 0.00%Rent B 8.5000%

Peso A PesoB Desv Std Rent0% 100.00% 7.0887% 8.50%

2.50% 97.50% 6.9115% 8.46%5.00% 95.00% 6.7343% 8.42%7.50% 92.50% 6.5571% 8.39%

10.00% 90.00% 6.3799% 8.35%12.50% 87.50% 6.2026% 8.31%15.00% 85.00% 6.0254% 8.27%17.50% 82.50% 5.8482% 8.24%20.00% 80.00% 5.6710% 8.20%22.50% 77.50% 5.4938% 8.16%25.00% 75.00% 5.3165% 8.13%27.50% 72.50% 5.1393% 8.09%30.00% 70.00% 4.9621% 8.05%32.50% 67.50% 4.7849% 8.01%35.00% 65.00% 4.6077% 7.97%37.50% 62.50% 4.4305% 7.94%40.00% 60.00% 4.2532% 7.90%42.50% 57.50% 4.0760% 7.86%45.00% 55.00% 3.8988% 7.82%47.50% 52.50% 3.7216% 7.79%50.00% 50.00% 3.5444% 7.75%52.50% 47.50% 3.3671% 7.71%55.00% 45.00% 3.1899% 7.68%57.50% 42.50% 3.0127% 7.64%60.00% 40.00% 2.8355% 7.60%62.50% 37.50% 2.6583% 7.56%65.00% 35.00% 2.4811% 7.52%67.50% 32.50% 2.3038% 7.49%70.00% 30.00% 2.1266% 7.45%72.50% 27.50% 1.9494% 7.41%75.00% 25.00% 1.7722% 7.38%77.50% 22.50% 1.5950% 7.34%80.00% 20.00% 1.4177% 7.30%82.50% 17.50% 1.2405% 7.26%85.00% 15.00% 1.0633% 7.23%87.50% 12.50% 0.8861% 7.19%90.00% 10.00% 0.7089% 7.15%92.50% 7.50% 0.5317% 7.11%95.00% 5.00% 0.3544% 7.08%97.50% 2.50% 0.1772% 7.04%

100.00% 0.00% 0.0000% 7.00%

0.0000% 1.0000% 2.0000% 3.0000% 4.0000% 5.0000% 6.0000% 7.0000% 8.0000%0.00%

1.00%

2.00%

3.00%

4.00%

5.00%

6.00%

7.00%

8.00%

9.00%Rent

0.0000% 1.0000% 2.0000% 3.0000% 4.0000% 5.0000% 6.0000% 7.0000% 8.0000%0.00%

1.00%

2.00%

3.00%

4.00%

5.00%

6.00%

7.00%

8.00%

9.00%Rent

Desv.Stand A 0.00%Desv.Stand B 7.09%Desv.Stand C 0.00%Rent A 7.00%Rent B 8.50%Rent C 0.00%Corr AB 0.00% Cov AB 0.00%Corr AC 0.00% Cov AC 0.00%Corr BC 0.00% Cov BC 0.00%

Peso A PesoB Peso C Desv Std Rent0% 100.00% 0.00% 7.09% 8.5%

5.00% 95.00% 0.00% 6.73% 8.4%10.00% 90.00% 0.00% 6.38% 8.4%15.00% 85.00% 0.00% 6.03% 8.3%20.00% 80.00% 0.00% 5.67% 8.2%25.00% 75.00% 0.00% 5.32% 8.1%30.00% 70.00% 0.00% 4.96% 8.0%35.00% 65.00% 0.00% 4.61% 8.0%40.00% 60.00% 0.00% 4.25% 7.9%45.00% 55.00% 0.00% 3.90% 7.8%50.00% 50.00% 0.00% 3.54% 7.7%55.00% 45.00% 0.00% 3.19% 7.7%60.00% 40.00% 0.00% 2.84% 7.6%65.00% 35.00% 0.00% 2.48% 7.5%70.00% 30.00% 0.00% 2.13% 7.4%75.00% 25.00% 0.00% 1.77% 7.4%80.00% 20.00% 0.00% 1.42% 7.3%85.00% 15.00% 0.00% 1.06% 7.2%90.00% 10.00% 0.00% 0.71% 7.2%95.00% 5.00% 0.00% 0.35% 7.1%

100.00% 0.00% 0.00% 0.00% 7.0%0.00% 95.00% 5.00% 6.73% 8.1%5.00% 90.00% 5.00% 6.38% 8.0%

10.00% 85.00% 5.00% 6.03% 7.9%15.00% 80.00% 5.00% 5.67% 7.8%20.00% 75.00% 5.00% 5.32% 7.8% Stock A25.00% 70.00% 5.00% 4.96% 7.7% Stock A 1.000030.00% 65.00% 5.00% 4.61% 7.6% Stock B 0.000035.00% 60.00% 5.00% 4.25% 7.6% Stock C 0.000040.00% 55.00% 5.00% 3.90% 7.5%45.00% 50.00% 5.00% 3.54% 7.4%50.00% 45.00% 5.00% 3.19% 7.3% E [ ri ]55.00% 40.00% 5.00% 2.84% 7.3% Stock A 0.070060.00% 35.00% 5.00% 2.48% 7.2% Stock B 0.085065.00% 30.00% 5.00% 2.13% 7.1% Stock C 0.000070.00% 25.00% 5.00% 1.77% 7.0%75.00% 20.00% 5.00% 1.42% 7.0% 4.00 0.0640

0.00% 1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00%7.00%

7.20%

7.40%

7.60%

7.80%

8.00%

8.20%

8.40%

8.60%

Portafolio 3 Acciones

Desviación Standar

Rent

abili

dad

80.00% 15.00% 5.00% 1.06% 6.9% Rp 9.00 0.061185.00% 10.00% 5.00% 0.71% 6.8% 1 0.059890.00% 5.00% 5.00% 0.35% 6.7% 11.00 0.059095.00% 0.00% 5.00% 0.00% 6.7% 7.00 0.0579

0.00% 90.00% 10.00% 6.38% 7.6% 10.00 0.05725.00% 85.00% 10.00% 6.03% 7.6% 2.00 0.0560

10.00% 80.00% 10.00% 5.67% 7.5% 8.00 0.054315.00% 75.00% 10.00% 5.32% 7.4% 3.00 0.052820.00% 70.00% 10.00% 4.96% 7.4% 5.00 0.049825.00% 65.00% 10.00% 4.61% 7.3% 6.00 0.047030.00% 60.00% 10.00% 4.25% 7.2% 7.00 0.052035.00% 55.00% 10.00% 3.90% 7.1% Desv.Stand A40.00% 50.00% 10.00% 3.54% 7.1% Desv.Stand B45.00% 45.00% 10.00% 3.19% 7.0% Rent A50.00% 40.00% 10.00% 2.84% 6.9% Rent B55.00% 35.00% 10.00% 2.48% 6.8%60.00% 30.00% 10.00% 2.13% 6.8% Peso A65.00% 25.00% 10.00% 1.77% 6.7% 0%70.00% 20.00% 10.00% 1.42% 6.6% 2.50%75.00% 15.00% 10.00% 1.06% 6.5% 5.00%80.00% 10.00% 10.00% 0.71% 6.5% 7.50%85.00% 5.00% 10.00% 0.35% 6.4% 10.00%90.00% 0.00% 10.00% 0.00% 6.3% 12.50%

0.00% 85.00% 15.00% 6.03% 7.2% 15.00%5.00% 80.00% 15.00% 5.67% 7.1% 17.50%

10.00% 75.00% 15.00% 5.32% 7.1% 20.00%15.00% 70.00% 15.00% 4.96% 7.0% 22.50%20.00% 65.00% 15.00% 4.61% 6.9% 25.00%25.00% 60.00% 15.00% 4.25% 6.9% 27.50%30.00% 55.00% 15.00% 3.90% 6.8% 30.00%35.00% 50.00% 15.00% 3.54% 6.7% 32.50%40.00% 45.00% 15.00% 3.19% 6.6% 35.00%45.00% 40.00% 15.00% 2.84% 6.6% 37.50%50.00% 35.00% 15.00% 2.48% 6.5% 40.00%55.00% 30.00% 15.00% 2.13% 6.4% 42.50%60.00% 25.00% 15.00% 1.77% 6.3% 45.00%65.00% 20.00% 15.00% 1.42% 6.3% 47.50%70.00% 15.00% 15.00% 1.06% 6.2% 50.00%75.00% 10.00% 15.00% 0.71% 6.1% 52.50%80.00% 5.00% 15.00% 0.35% 6.0% 55.00%85.00% 0.00% 15.00% 0.00% 6.0% 57.50%

0.00% 80.00% 20.00% 5.67% 6.8% 60.00%5.00% 75.00% 20.00% 5.32% 6.7% 62.50%

10.00% 70.00% 20.00% 4.96% 6.6% 65.00%15.00% 65.00% 20.00% 4.61% 6.6% 67.50%20.00% 60.00% 20.00% 4.25% 6.5% 70.00%25.00% 55.00% 20.00% 3.90% 6.4% 72.50%30.00% 50.00% 20.00% 3.54% 6.3% 75.00%

35.00% 45.00% 20.00% 3.19% 6.3% 77.50%40.00% 40.00% 20.00% 2.84% 6.2% 80.00%45.00% 35.00% 20.00% 2.48% 6.1% 82.50%50.00% 30.00% 20.00% 2.13% 6.1% 85.00%55.00% 25.00% 20.00% 1.77% 6.0% 87.50%60.00% 20.00% 20.00% 1.42% 5.9% 90.00%65.00% 15.00% 20.00% 1.06% 5.8% 92.50%70.00% 10.00% 20.00% 0.71% 5.8% 95.00%75.00% 5.00% 20.00% 0.35% 5.7% 97.50%80.00% 0.00% 20.00% 0.00% 5.6% 100.00%

0.00% 75.00% 25.00% 5.32% 6.4% 102.50%5.00% 70.00% 25.00% 4.96% 6.3% 105.00%

10.00% 65.00% 25.00% 4.61% 6.2% 107.50%15.00% 60.00% 25.00% 4.25% 6.2% 110.00%20.00% 55.00% 25.00% 3.90% 6.1% 112.50%25.00% 50.00% 25.00% 3.54% 6.0% 115.00%30.00% 45.00% 25.00% 3.19% 5.9% 117.50%35.00% 40.00% 25.00% 2.84% 5.9% 120.00%40.00% 35.00% 25.00% 2.48% 5.8% 122.50%45.00% 30.00% 25.00% 2.13% 5.7% 125.00%50.00% 25.00% 25.00% 1.77% 5.6% 127.50%55.00% 20.00% 25.00% 1.42% 5.6% 130.00%60.00% 15.00% 25.00% 1.06% 5.5% 132.50%65.00% 10.00% 25.00% 0.71% 5.4% 135.00%70.00% 5.00% 25.00% 0.35% 5.3% 137.50%75.00% 0.00% 25.00% 0.00% 5.3% 140.00%

0.00% 70.00% 30.00% 4.96% 5.9% 142.50%5.00% 65.00% 30.00% 4.61% 5.9% 145.00%

10.00% 60.00% 30.00% 4.25% 5.8% 147.50%15.00% 55.00% 30.00% 3.90% 5.7% 150.00%20.00% 50.00% 30.00% 3.54% 5.6% 152.50%25.00% 45.00% 30.00% 3.19% 5.6% 155.00%30.00% 40.00% 30.00% 2.84% 5.5% 157.50%35.00% 35.00% 30.00% 2.48% 5.4% 160.00%40.00% 30.00% 30.00% 2.13% 5.4% 162.50%45.00% 25.00% 30.00% 1.77% 5.3% 165.00%50.00% 20.00% 30.00% 1.42% 5.2% 167.50%55.00% 15.00% 30.00% 1.06% 5.1% 170.00%60.00% 10.00% 30.00% 0.71% 5.1% 172.50%65.00% 5.00% 30.00% 0.35% 5.0% 175.00%70.00% 0.00% 30.00% 0.00% 4.9% 177.50%

0.00% 65.00% 35.00% 4.61% 5.5% 180.00%5.00% 60.00% 35.00% 4.25% 5.5% 182.50%

10.00% 55.00% 35.00% 3.90% 5.4% 185.00%15.00% 50.00% 35.00% 3.54% 5.3% 187.50%20.00% 45.00% 35.00% 3.19% 5.2% 190.00%25.00% 40.00% 35.00% 2.84% 5.1% 192.50%30.00% 35.00% 35.00% 2.48% 5.1% 195.00%

35.00% 30.00% 35.00% 2.13% 5.0% 197.50%40.00% 25.00% 35.00% 1.77% 4.9% 200.00%45.00% 20.00% 35.00% 1.42% 4.9%50.00% 15.00% 35.00% 1.06% 4.8%55.00% 10.00% 35.00% 0.71% 4.7%60.00% 5.00% 35.00% 0.35% 4.6%65.00% 0.00% 35.00% 0.00% 4.6%

0.00% 60.00% 40.00% 4.25% 5.1%5.00% 55.00% 40.00% 3.90% 5.0%

10.00% 50.00% 40.00% 3.54% 4.9%15.00% 45.00% 40.00% 3.19% 4.9%20.00% 40.00% 40.00% 2.84% 4.8%25.00% 35.00% 40.00% 2.48% 4.7%30.00% 30.00% 40.00% 2.13% 4.6%35.00% 25.00% 40.00% 1.77% 4.6%40.00% 20.00% 40.00% 1.42% 4.5%45.00% 15.00% 40.00% 1.06% 4.4%50.00% 10.00% 40.00% 0.71% 4.4%55.00% 5.00% 40.00% 0.35% 4.3%60.00% 0.00% 40.00% 0.00% 4.2%

0.00% 55.00% 45.00% 3.90% 4.7%5.00% 50.00% 45.00% 3.54% 4.6%

10.00% 45.00% 45.00% 3.19% 4.5%15.00% 40.00% 45.00% 2.84% 4.5%20.00% 35.00% 45.00% 2.48% 4.4%25.00% 30.00% 45.00% 2.13% 4.3%30.00% 25.00% 45.00% 1.77% 4.2%35.00% 20.00% 45.00% 1.42% 4.1%40.00% 15.00% 45.00% 1.06% 4.1%45.00% 10.00% 45.00% 0.71% 4.0%50.00% 5.00% 45.00% 0.35% 3.9%55.00% 0.00% 45.00% 0.00% 3.9%

0.00% 50.00% 50.00% 3.54% 4.3%5.00% 45.00% 50.00% 3.19% 4.2%

10.00% 40.00% 50.00% 2.84% 4.1%15.00% 35.00% 50.00% 2.48% 4.0%20.00% 30.00% 50.00% 2.13% 4.0%25.00% 25.00% 50.00% 1.77% 3.9%30.00% 20.00% 50.00% 1.42% 3.8%35.00% 15.00% 50.00% 1.06% 3.7%40.00% 10.00% 50.00% 0.71% 3.7%45.00% 5.00% 50.00% 0.35% 3.6%50.00% 0.00% 50.00% 0.00% 3.5%

0.00% 45.00% 55.00% 3.19% 3.8%5.00% 40.00% 55.00% 2.84% 3.7%

10.00% 35.00% 55.00% 2.48% 3.7%15.00% 30.00% 55.00% 2.13% 3.6%20.00% 25.00% 55.00% 1.77% 3.5%

25.00% 20.00% 55.00% 1.42% 3.4%30.00% 15.00% 55.00% 1.06% 3.4%35.00% 10.00% 55.00% 0.71% 3.3%40.00% 5.00% 55.00% 0.35% 3.2%45.00% 0.00% 55.00% 0.00% 3.2%

0.00% 40.00% 60.00% 2.84% 3.4%5.00% 35.00% 60.00% 2.48% 3.3%

10.00% 30.00% 60.00% 2.13% 3.3%15.00% 25.00% 60.00% 1.77% 3.2%20.00% 20.00% 60.00% 1.42% 3.1%25.00% 15.00% 60.00% 1.06% 3.0%30.00% 10.00% 60.00% 0.71% 2.9%35.00% 5.00% 60.00% 0.35% 2.9%40.00% 0.00% 60.00% 0.00% 2.8%

0.00% 35.00% 65.00% 2.48% 3.0%5.00% 30.00% 65.00% 2.13% 2.9%

10.00% 25.00% 65.00% 1.77% 2.8%15.00% 20.00% 65.00% 1.42% 2.7%20.00% 15.00% 65.00% 1.06% 2.7%25.00% 10.00% 65.00% 0.71% 2.6%30.00% 5.00% 65.00% 0.35% 2.5%35.00% 0.00% 65.00% 0.00% 2.5%

0.00% 30.00% 70.00% 2.13% 2.6%5.00% 25.00% 70.00% 1.77% 2.5%

10.00% 20.00% 70.00% 1.42% 2.4%15.00% 15.00% 70.00% 1.06% 2.3%20.00% 10.00% 70.00% 0.71% 2.3%25.00% 5.00% 70.00% 0.35% 2.2%30.00% 0.00% 70.00% 0.00% 2.1%

0.00% 25.00% 75.00% 1.77% 2.1%5.00% 20.00% 75.00% 1.42% 2.0%

10.00% 15.00% 75.00% 1.06% 2.0%15.00% 10.00% 75.00% 0.71% 1.9%20.00% 5.00% 75.00% 0.35% 1.8%25.00% 0.00% 75.00% 0.00% 1.8%

0.00% 20.00% 80.00% 1.42% 1.7%5.00% 15.00% 80.00% 1.06% 1.6%

10.00% 10.00% 80.00% 0.71% 1.5%15.00% 5.00% 80.00% 0.35% 1.5%20.00% 0.00% 80.00% 0.00% 1.4%

0.00% 15.00% 85.00% 1.06% 1.3%5.00% 10.00% 85.00% 0.71% 1.2%

10.00% 5.00% 85.00% 0.35% 1.1%15.00% 0.00% 85.00% 0.00% 1.1%

0.00% 10.00% 90.00% 0.71% 0.8%5.00% 5.00% 90.00% 0.35% 0.8%

10.00% 0.00% 90.00% 0.00% 0.7%0.00% 5.00% 95.00% 0.35% 0.4%

5.00% 0.00% 95.00% 0.00% 0.4%0.00% 0.00% 100.00% 0.00% 0.0%

Stock B Stock C0.0000 0.00001.0000 0.00000.0000 1.0000

Xi0.00000.07090.0000

Wa Wb Wc0.0069 1.0000 0.7969 0.0969 0.1062 0.0032

s [ ri ]

0.00% 1.00% 2.00% 3.00% 4.00% 5.00% 6.00% 7.00% 8.00%7.00%

7.20%

7.40%

7.60%

7.80%

8.00%

8.20%

8.40%

8.60%

Portafolio 3 Acciones

Desviación Standar

Rent

abili

dad

0.0108 1.0000 0.6879 0.1522 0.1599 0.00370.0125 1.0000 0.6395 0.1766 0.1839 0.00400.0136 1.0000 0.6099 0.1913 0.1988 0.00420.0151 1.0000 0.5685 0.2128 0.2188 0.00450.0160 1.0000 0.5421 0.2263 0.2316 0.00470.0173 1.0000 0.5037 0.2445 0.2518 0.00500.0194 1.0000 0.4427 0.2743 0.2830 0.00550.0216 1.0000 0.3845 0.3044 0.3111 0.00600.0257 1.0000 0.2724 0.3619 0.3657 0.00700.0296 1.0000 0.1641 0.4177 0.4182 0.00800.0434 1.0000 0.0000 0.6123 0.3877 0.0100

Desv.Stand A 1.0786%Desv.Stand B 0.0000%

6.1088% Cov AB 0.00%7.0000%

PesoB Desv Std Rent100.00% 0.0000% 7.00%

97.50% 0.0270% 6.98%95.00% 0.0539% 6.96%92.50% 0.0809% 6.93%90.00% 0.1079% 6.91%87.50% 0.1348% 6.89%85.00% 0.1618% 6.87%82.50% 0.1888% 6.84%80.00% 0.2157% 6.82%77.50% 0.2427% 6.80%75.00% 0.2697% 6.78%72.50% 0.2966% 6.75%70.00% 0.3236% 6.73%67.50% 0.3506% 6.71%65.00% 0.3775% 6.69%62.50% 0.4045% 6.67%60.00% 0.4315% 6.64%57.50% 0.4584% 6.62%55.00% 0.4854% 6.60%52.50% 0.5124% 6.58%50.00% 0.5393% 6.55%47.50% 0.5663% 6.53%45.00% 0.5933% 6.51%42.50% 0.6202% 6.49%40.00% 0.6472% 6.47%37.50% 0.6742% 6.44%35.00% 0.7011% 6.42%32.50% 0.7281% 6.40%30.00% 0.7550% 6.38%27.50% 0.7820% 6.35%25.00% 0.8090% 6.33%

22.50% 0.8359% 6.31%20.00% 0.8629% 6.29%17.50% 0.8899% 6.26%15.00% 0.9168% 6.24%12.50% 0.9438% 6.22%10.00% 0.9708% 6.20%

7.50% 0.9977% 6.18%5.00% 1.0247% 6.15%2.50% 1.0517% 6.13%0.00% 1.0786% 6.11%

-2.50% 1.1056% 6.09%-5.00% 1.1326% 6.06%-7.50% 1.1595% 6.04%

-10.00% 1.1865% 6.02%-12.50% 1.2135% 6.00%-15.00% 1.2404% 5.98%-17.50% 1.2674% 5.95%-20.00% 1.2944% 5.93%-22.50% 1.3213% 5.91%-25.00% 1.3483% 5.89%-27.50% 1.3753% 5.86%-30.00% 1.4022% 5.84%-32.50% 1.4292% 5.82%-35.00% 1.4562% 5.80%-37.50% 1.4831% 5.77%-40.00% 1.5101% 5.75%-42.50% 1.5371% 5.73%-45.00% 1.5640% 5.71%-47.50% 1.5910% 5.69%-50.00% 1.6180% 5.66%-52.50% 1.6449% 5.64%-55.00% 1.6719% 5.62%-57.50% 1.6989% 5.60%-60.00% 1.7258% 5.57%-62.50% 1.7528% 5.55%-65.00% 1.7798% 5.53%-67.50% 1.8067% 5.51%-70.00% 1.8337% 5.48%-72.50% 1.8607% 5.46%-75.00% 1.8876% 5.44%-77.50% 1.9146% 5.42%-80.00% 1.9416% 5.40%-82.50% 1.9685% 5.37%-85.00% 1.9955% 5.35%-87.50% 2.0225% 5.33%-90.00% 2.0494% 5.31%-92.50% 2.0764% 5.28%-95.00% 2.1033% 5.26%

-97.50% 2.1303% 5.24%-100.00% 2.1573% 5.22%

Desv.Stand A 12.00% Desv.Stand PDesv.Stand B 10.00% Desv.Stand RfDesv.Stand C 8.00% Rent PRent A 10.00% Rent RfRent B 8.00% Corr ABRent C 5.00% Peso PCorr AB 10.00% Cov AB 0.12% 0%Corr AC 8.00% Cov AC 0.08% 1.00%Corr BC 6.00% Cov BC 0.05% 2.00%

3.00%Peso A PesoB Peso C Desv Std Rent 4.00%

0% 100.00% 0.00% 10.00% 8.0% 5.00%5.00% 95.00% 0.00% 9.58% 8.1% 6.00%

10.00% 90.00% 0.00% 9.20% 8.2% 7.00%15.00% 85.00% 0.00% 8.86% 8.3% 8.00%20.00% 80.00% 0.00% 8.58% 8.4% 9.00%25.00% 75.00% 0.00% 8.35% 8.5% 10.00%30.00% 70.00% 0.00% 8.19% 8.6% 11.00%35.00% 65.00% 0.00% 8.08% 8.7% 12.00%40.00% 60.00% 0.00% 8.05% 8.8% 13.00%45.00% 55.00% 0.00% 8.08% 8.9% 14.00%50.00% 50.00% 0.00% 8.19% 9.0% 15.00%55.00% 45.00% 0.00% 8.35% 9.1% 16.00%60.00% 40.00% 0.00% 8.58% 9.2% 17.00%65.00% 35.00% 0.00% 8.86% 9.3% 18.00%70.00% 30.00% 0.00% 9.20% 9.4% 19.00%75.00% 25.00% 0.00% 9.58% 9.5% 20.00%80.00% 20.00% 0.00% 10.00% 9.6% 21.00%90.00% 10.00% 0.00% 10.95% 9.8% 22.00%

100.00% 0.00% 0.00% 12.00% 10.0% 23.00%0.00% 95.00% 5.00% 9.53% 7.9% 24.00%5.00% 90.00% 5.00% 9.11% 8.0% 25.00%

10.00% 85.00% 5.00% 8.74% 8.1% 26.00%15.00% 80.00% 5.00% 8.41% 8.2% 27.00%20.00% 75.00% 5.00% 8.14% 8.3% 28.00%25.00% 70.00% 5.00% 7.93% 8.4% 29.00%30.00% 65.00% 5.00% 7.78% 8.5% 30.00%35.00% 60.00% 5.00% 7.71% 8.5% 31.00%40.00% 55.00% 5.00% 7.70% 8.7% 32.00%45.00% 50.00% 5.00% 7.77% 8.8% 33.00%50.00% 45.00% 5.00% 7.90% 8.9% 34.00%55.00% 40.00% 5.00% 8.10% 9.0% 35.00%60.00% 35.00% 5.00% 8.36% 9.0% 36.00%65.00% 30.00% 5.00% 8.68% 9.2% 37.00%70.00% 25.00% 5.00% 9.05% 9.3% 38.00%75.00% 20.00% 5.00% 9.46% 9.4% 39.00%80.00% 15.00% 5.00% 9.91% 9.5% 40.00%85.00% 10.00% 5.00% 10.39% 9.6% 41.00%

90.00% 5.00% 5.00% 10.90% 9.7% 42.00%95.00% 0.00% 5.00% 11.44% 9.8% 43.00%

0.00% 90.00% 10.00% 9.08% 7.7% 44.00%5.00% 85.00% 10.00% 8.67% 7.8% 45.00%

10.00% 80.00% 10.00% 8.30% 7.9% 46.00%15.00% 75.00% 10.00% 7.99% 8.0% 47.00%20.00% 70.00% 10.00% 7.73% 8.1% 48.00%25.00% 65.00% 10.00% 7.54% 8.2% 49.00%30.00% 60.00% 10.00% 7.41% 8.3% 50.00%35.00% 55.00% 10.00% 7.36% 8.4% 51.00%40.00% 50.00% 10.00% 7.39% 8.5% 52.00%45.00% 45.00% 10.00% 7.49% 8.6% 53.00%50.00% 40.00% 10.00% 7.65% 8.7% 54.00%55.00% 35.00% 10.00% 7.89% 8.8% 55.00%60.00% 30.00% 10.00% 8.19% 8.9% 56.00%65.00% 25.00% 10.00% 8.54% 9.0% 57.00%70.00% 20.00% 10.00% 8.93% 9.1% 58.00%75.00% 15.00% 10.00% 9.37% 9.2% 59.00%80.00% 10.00% 10.00% 9.85% 9.3% 60.00%85.00% 5.00% 10.00% 10.36% 9.4% 61.00%90.00% 0.00% 10.00% 10.89% 9.5% 62.00%

0.00% 85.00% 15.00% 8.66% 7.6% 63.00%5.00% 80.00% 15.00% 8.25% 7.7% 64.00%

10.00% 75.00% 15.00% 7.89% 7.8% 65.00%15.00% 70.00% 15.00% 7.59% 7.8% 66.00%20.00% 65.00% 15.00% 7.35% 8.0% 67.00%25.00% 60.00% 15.00% 7.17% 8.1% 68.00%30.00% 55.00% 15.00% 7.08% 8.1% 69.00%35.00% 50.00% 15.00% 7.06% 8.2% 70.00%40.00% 45.00% 15.00% 7.11% 8.4% 71.00%45.00% 40.00% 15.00% 7.25% 8.5% 72.00%50.00% 35.00% 15.00% 7.45% 8.5% 73.00%55.00% 30.00% 15.00% 7.72% 8.6% 74.00%60.00% 25.00% 15.00% 8.05% 8.8% 75.00%65.00% 20.00% 15.00% 8.44% 8.9% 76.00%70.00% 15.00% 15.00% 8.87% 9.0% 77.00%75.00% 10.00% 15.00% 9.33% 9.0% 78.00%80.00% 5.00% 15.00% 9.83% 9.2% 79.00%85.00% 0.00% 15.00% 10.37% 9.3% 80.00%

0.00% 80.00% 20.00% 8.25% 7.4% 81.00%5.00% 75.00% 20.00% 7.85% 7.5% 82.00%

10.00% 70.00% 20.00% 7.51% 7.6% 83.00%15.00% 65.00% 20.00% 7.22% 7.7% 84.00%20.00% 60.00% 20.00% 7.00% 7.8% 85.00%25.00% 55.00% 20.00% 6.85% 7.9% 86.00%30.00% 50.00% 20.00% 6.78% 8.0% 87.00%35.00% 45.00% 20.00% 6.79% 8.1% 88.00%40.00% 40.00% 20.00% 6.89% 8.2% 89.00%

45.00% 35.00% 20.00% 7.06% 8.3% 90.00%50.00% 30.00% 20.00% 7.30% 8.4% 91.00%55.00% 25.00% 20.00% 7.61% 8.5% 92.00%60.00% 20.00% 20.00% 7.97% 8.6% 93.00%65.00% 15.00% 20.00% 8.38% 8.7% 94.00%70.00% 10.00% 20.00% 8.84% 8.8% 95.00%75.00% 5.00% 20.00% 9.33% 8.9% 96.00%80.00% 0.00% 20.00% 9.86% 9.0% 97.00%

0.00% 75.00% 25.00% 7.88% 7.2% 98.00%5.00% 70.00% 25.00% 7.49% 7.4% 99.00%

10.00% 65.00% 25.00% 7.15% 7.5% 100.00%15.00% 60.00% 25.00% 6.89% 7.6% 101.00%20.00% 55.00% 25.00% 6.69% 7.6% 102.00%25.00% 50.00% 25.00% 6.57% 7.8% 103.00%30.00% 45.00% 25.00% 6.53% 7.9% 104.00%35.00% 40.00% 25.00% 6.58% 8.0% 105.00%40.00% 35.00% 25.00% 6.71% 8.1% 106.00%45.00% 30.00% 25.00% 6.92% 8.2% 107.00%50.00% 25.00% 25.00% 7.20% 8.2% 108.00%55.00% 20.00% 25.00% 7.54% 8.4% 109.00%60.00% 15.00% 25.00% 7.93% 8.5% 110.00%65.00% 10.00% 25.00% 8.37% 8.5% 111.00%70.00% 5.00% 25.00% 8.86% 8.6% 112.00%75.00% 0.00% 25.00% 9.37% 8.8% 113.00%

0.00% 70.00% 30.00% 7.53% 7.1% 114.00%5.00% 65.00% 30.00% 7.16% 7.2% 115.00%

10.00% 60.00% 30.00% 6.84% 7.3% 116.00%15.00% 55.00% 30.00% 6.60% 7.4% 117.00%20.00% 50.00% 30.00% 6.43% 7.5% 118.00%25.00% 45.00% 30.00% 6.34% 7.6% 119.00%30.00% 40.00% 30.00% 6.34% 7.7% 120.00%35.00% 35.00% 30.00% 6.42% 7.8% 121.00%40.00% 30.00% 30.00% 6.59% 7.9% 122.00%45.00% 25.00% 30.00% 6.83% 8.0% 123.00%50.00% 20.00% 30.00% 7.14% 8.1% 124.00%55.00% 15.00% 30.00% 7.52% 8.2% 125.00%60.00% 10.00% 30.00% 7.94% 8.3% 126.00%65.00% 5.00% 30.00% 8.41% 8.4% 127.00%70.00% 0.00% 30.00% 8.92% 8.5% 128.00%

0.00% 65.00% 35.00% 7.23% 7.0% 129.00%5.00% 60.00% 35.00% 6.87% 7.1% 130.00%

10.00% 55.00% 35.00% 6.58% 7.2% 131.00%15.00% 50.00% 35.00% 6.35% 7.3% 132.00%20.00% 45.00% 35.00% 6.21% 7.4% 133.00%25.00% 40.00% 35.00% 6.16% 7.4% 134.00%30.00% 35.00% 35.00% 6.19% 7.6% 135.00%35.00% 30.00% 35.00% 6.32% 7.6% 136.00%40.00% 25.00% 35.00% 6.52% 7.8% 137.00%

45.00% 20.00% 35.00% 6.80% 7.9% 138.00%50.00% 15.00% 35.00% 7.15% 8.0% 139.00%55.00% 10.00% 35.00% 7.55% 8.1% 140.00%60.00% 5.00% 35.00% 8.00% 8.2% 141.00%65.00% 0.00% 35.00% 8.50% 8.3% 142.00%

0.00% 60.00% 40.00% 6.97% 6.8% 143.00%5.00% 55.00% 40.00% 6.63% 6.9% 144.00%

10.00% 50.00% 40.00% 6.36% 7.0% 145.00%15.00% 45.00% 40.00% 6.16% 7.1% 146.00%20.00% 40.00% 40.00% 6.06% 7.2% 147.00%25.00% 35.00% 40.00% 6.04% 7.3% 148.00%30.00% 30.00% 40.00% 6.11% 7.4% 149.00%35.00% 25.00% 40.00% 6.27% 7.5% 150.00%40.00% 20.00% 40.00% 6.51% 7.6%45.00% 15.00% 40.00% 6.83% 7.7%50.00% 10.00% 40.00% 7.20% 7.8%55.00% 5.00% 40.00% 7.63% 7.9%

0.00% 55.00% 45.00% 6.75% 6.7%5.00% 50.00% 45.00% 6.44% 6.8%

10.00% 45.00% 45.00% 6.19% 6.9%15.00% 40.00% 45.00% 6.03% 7.0%20.00% 35.00% 45.00% 5.96% 7.1%25.00% 30.00% 45.00% 5.98% 7.2%30.00% 25.00% 45.00% 6.09% 7.2%35.00% 20.00% 45.00% 6.29% 7.4%40.00% 15.00% 45.00% 6.57% 7.5%45.00% 10.00% 45.00% 6.91% 7.6%50.00% 5.00% 45.00% 7.31% 7.6%55.00% 0.00% 45.00% 7.77% 7.8%

0.00% 50.00% 50.00% 6.59% 6.5%5.00% 45.00% 50.00% 6.30% 6.6%

10.00% 40.00% 50.00% 6.09% 6.7%15.00% 35.00% 50.00% 5.97% 6.8%20.00% 30.00% 50.00% 5.93% 6.9%25.00% 25.00% 50.00% 5.99% 7.0%30.00% 20.00% 50.00% 6.14% 7.1%35.00% 15.00% 50.00% 6.37% 7.2%40.00% 10.00% 50.00% 6.67% 7.3%45.00% 5.00% 50.00% 7.05% 7.4%50.00% 0.00% 50.00% 7.47% 7.5%

0.00% 45.00% 55.00% 6.48% 6.4%5.00% 40.00% 55.00% 6.22% 6.5%

10.00% 35.00% 55.00% 6.05% 6.6%15.00% 30.00% 55.00% 5.96% 6.7%20.00% 25.00% 55.00% 5.96% 6.8%25.00% 20.00% 55.00% 6.06% 6.9%30.00% 15.00% 55.00% 6.24% 7.0%35.00% 10.00% 55.00% 6.51% 7.1%

40.00% 5.00% 55.00% 6.84% 7.2%45.00% 0.00% 55.00% 7.23% 7.3%

0.00% 40.00% 60.00% 6.43% 6.2%5.00% 35.00% 60.00% 6.21% 6.3%

10.00% 30.00% 60.00% 6.07% 6.4%15.00% 25.00% 60.00% 6.02% 6.5%20.00% 20.00% 60.00% 6.06% 6.6%25.00% 15.00% 60.00% 6.19% 6.7%30.00% 10.00% 60.00% 6.41% 6.8%35.00% 5.00% 60.00% 6.70% 6.9%40.00% 0.00% 60.00% 7.05% 7.0%

0.00% 35.00% 65.00% 6.44% 6.1%5.00% 30.00% 65.00% 6.26% 6.2%

10.00% 25.00% 65.00% 6.16% 6.3%15.00% 20.00% 65.00% 6.14% 6.4%20.00% 15.00% 65.00% 6.22% 6.5%25.00% 10.00% 65.00% 6.38% 6.6%30.00% 5.00% 65.00% 6.63% 6.7%35.00% 0.00% 65.00% 6.94% 6.8%

0.00% 30.00% 70.00% 6.51% 5.9%5.00% 25.00% 70.00% 6.36% 6.0%

10.00% 20.00% 70.00% 6.30% 6.1%15.00% 15.00% 70.00% 6.33% 6.2%20.00% 10.00% 70.00% 6.44% 6.3%25.00% 5.00% 70.00% 6.63% 6.4%30.00% 0.00% 70.00% 6.90% 6.5%

0.00% 25.00% 75.00% 6.64% 5.8%5.00% 20.00% 75.00% 6.53% 5.9%

10.00% 15.00% 75.00% 6.50% 6.0%15.00% 10.00% 75.00% 6.56% 6.1%20.00% 5.00% 75.00% 6.70% 6.2%25.00% 0.00% 75.00% 6.92% 6.3%

0.00% 20.00% 80.00% 6.82% 5.6%5.00% 15.00% 80.00% 6.75% 5.7%

10.00% 10.00% 80.00% 6.76% 5.8%15.00% 5.00% 80.00% 6.85% 5.9%20.00% 0.00% 80.00% 7.01% 6.0%

0.00% 15.00% 85.00% 7.05% 5.5%5.00% 10.00% 85.00% 7.01% 5.6%

10.00% 5.00% 85.00% 7.05% 5.7%15.00% 0.00% 85.00% 7.17% 5.8%

0.00% 10.00% 90.00% 7.33% 5.3%5.00% 5.00% 90.00% 7.32% 5.4%

10.00% 0.00% 90.00% 7.39% 5.5%0.00% 5.00% 95.00% 7.65% 5.2%5.00% 0.00% 95.00% 7.67% 5.3%0.00% 0.00% 100.00% 8.00% 5.0%

Desv.Stand P 9.20%Desv.Stand Rf 0%

9.40% Cov AB 0.00%6%0%

Peso Rf Desv Std Rent100.00% 0.0000% 6.00%

99.00% 0.0920% 6.03%98.00% 0.1840% 6.07%97.00% 0.2759% 6.10%96.00% 0.3679% 6.14%95.00% 0.4599% 6.17%94.00% 0.5519% 6.20%93.00% 0.6438% 6.24%92.00% 0.7358% 6.27%91.00% 0.8278% 6.31%90.00% 0.9198% 6.34%89.00% 1.0118% 6.37%88.00% 1.1037% 6.41%87.00% 1.1957% 6.44%86.00% 1.2877% 6.48%85.00% 1.3797% 6.51%84.00% 1.4717% 6.54%83.00% 1.5636% 6.58%82.00% 1.6556% 6.61%81.00% 1.7476% 6.65%80.00% 1.8396% 6.68%79.00% 1.9315% 6.71%78.00% 2.0235% 6.75%77.00% 2.1155% 6.78%76.00% 2.2075% 6.82%75.00% 2.2995% 6.85%74.00% 2.3914% 6.88%73.00% 2.4834% 6.92%72.00% 2.5754% 6.95%71.00% 2.6674% 6.99%70.00% 2.7593% 7.02%69.00% 2.8513% 7.05%68.00% 2.9433% 7.09%67.00% 3.0353% 7.12%66.00% 3.1273% 7.16%65.00% 3.2192% 7.19%64.00% 3.3112% 7.22%63.00% 3.4032% 7.26%62.00% 3.4952% 7.29%61.00% 3.5872% 7.33%60.00% 3.6791% 7.36%59.00% 3.7711% 7.39%

0.00% 2.00% 4.00% 6.00% 8.00% 10.00% 12.00% 14.00% 16.00%0.00%

2.00%

4.00%

6.00%

8.00%

10.00%

12.00%

Rent

LMC

Desviación Standar

Rent

abili

dad

58.00% 3.8631% 7.43%57.00% 3.9551% 7.46%56.00% 4.0470% 7.50%55.00% 4.1390% 7.53%54.00% 4.2310% 7.56%53.00% 4.3230% 7.60%52.00% 4.4150% 7.63%51.00% 4.5069% 7.67%50.00% 4.5989% 7.70%49.00% 4.6909% 7.73%48.00% 4.7829% 7.77%47.00% 4.8748% 7.80%46.00% 4.9668% 7.84%45.00% 5.0588% 7.87%44.00% 5.1508% 7.90%43.00% 5.2428% 7.94%42.00% 5.3347% 7.97%41.00% 5.4267% 8.01%40.00% 5.5187% 8.04%39.00% 5.6107% 8.07%38.00% 5.7027% 8.11%37.00% 5.7946% 8.14%36.00% 5.8866% 8.18%35.00% 5.9786% 8.21%34.00% 6.0706% 8.24%33.00% 6.1625% 8.28%32.00% 6.2545% 8.31%31.00% 6.3465% 8.35%30.00% 6.4385% 8.38%29.00% 6.5305% 8.41%28.00% 6.6224% 8.45%27.00% 6.7144% 8.48%26.00% 6.8064% 8.52%25.00% 6.8984% 8.55%24.00% 6.9903% 8.58%23.00% 7.0823% 8.62%22.00% 7.1743% 8.65%21.00% 7.2663% 8.69%20.00% 7.3583% 8.72%19.00% 7.4502% 8.75%18.00% 7.5422% 8.79%17.00% 7.6342% 8.82%16.00% 7.7262% 8.86%15.00% 7.8182% 8.89%14.00% 7.9101% 8.92%13.00% 8.0021% 8.96%12.00% 8.0941% 8.99%11.00% 8.1861% 9.03%

10.00% 8.2780% 9.06%9.00% 8.3700% 9.09%8.00% 8.4620% 9.13%7.00% 8.5540% 9.16%6.00% 8.6460% 9.20%5.00% 8.7379% 9.23%4.00% 8.8299% 9.26%3.00% 8.9219% 9.30%2.00% 9.0139% 9.33%1.00% 9.1058% 9.37%0.00% 9.1978% 9.40%

-1.00% 9.2898% 9.43%-2.00% 9.3818% 9.47%-3.00% 9.4738% 9.50%-4.00% 9.5657% 9.54%-5.00% 9.6577% 9.57%-6.00% 9.7497% 9.60%-7.00% 9.8417% 9.64%-8.00% 9.9337% 9.67%-9.00% 10.0256% 9.71%

-10.00% 10.1176% 9.74%-11.00% 10.2096% 9.77%-12.00% 10.3016% 9.81%-13.00% 10.3935% 9.84%-14.00% 10.4855% 9.88%-15.00% 10.5775% 9.91%-16.00% 10.6695% 9.94%-17.00% 10.7615% 9.98%-18.00% 10.8534% 10.01%-19.00% 10.9454% 10.05%-20.00% 11.0374% 10.08%-21.00% 11.1294% 10.11%-22.00% 11.2213% 10.15%-23.00% 11.3133% 10.18%-24.00% 11.4053% 10.22%-25.00% 11.4973% 10.25%-26.00% 11.5893% 10.28%-27.00% 11.6812% 10.32%-28.00% 11.7732% 10.35%-29.00% 11.8652% 10.39%-30.00% 11.9572% 10.42%-31.00% 12.0492% 10.45%-32.00% 12.1411% 10.49%-33.00% 12.2331% 10.52%-34.00% 12.3251% 10.56%-35.00% 12.4171% 10.59%-36.00% 12.5090% 10.62%-37.00% 12.6010% 10.66%

-38.00% 12.6930% 10.69%-39.00% 12.7850% 10.73%-40.00% 12.8770% 10.76%-41.00% 12.9689% 10.79%-42.00% 13.0609% 10.83%-43.00% 13.1529% 10.86%-44.00% 13.2449% 10.90%-45.00% 13.3368% 10.93%-46.00% 13.4288% 10.96%-47.00% 13.5208% 11.00%-48.00% 13.6128% 11.03%-49.00% 13.7048% 11.07%-50.00% 13.7967% 11.10%

0.00% 2.00% 4.00% 6.00% 8.00% 10.00% 12.00% 14.00% 16.00%0.00%

2.00%

4.00%

6.00%

8.00%

10.00%

12.00%

Rent

LMC

Desviación Standar

Rent

abili

dad