# chapter11 - Chapter 11 Optimal Portfolio Choice 11-1. a....

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Chapter 11 Optimal Portfolio Choice 11-1. a. Let i n be the number of share in stock I, then G 200,000 0.5 n4 , 0 0 0 25 × == M 200,000 0.25 n6 2 5 80 × V 200,000 0.25 n2 5 , 0 0 0 2 × The new value of the portfolio is v GM p3 0 n 6 0 n 3 n =++ \$232,500 = b. Return 232,500 1 16.25% 200,000 =− = c. The portfolio weight are the fraction of value invested in each stock G M V n3 0 GoldFinger: 51.61% 232,500 0 Moosehead: 16.13% 232,500 Venture: 32.26% 232,500 × = × = × = 11-2. Both calculations of expected return of a portfolio give the same answer. 11-3. If the price of one stock goes up, the other stock price always goes up as well.

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100 Berk/DeMarzo Corporate Finance: The Core 11-4. a. A B 10 20 5 5 2 9 R3 . 5 % 6 21 30 7 3 8 25 R 6 12% −+ +−++ == ++ + = = () ( ) ( ) 2 22 2 A 0.1 0.035 0.2 0.08 0.05 0.035 1 Variance of A 5 0.05 0.035 0.02 0.035 0.09 0.035 0.01123 Volatility of A = SD(R ) Variance of A .01123 10.60% 0 1 Variance of B 5 ⎡⎤ −− + ⎢⎥ −+ + = + +− ⎣⎦ = = = ( ) ( ) ( ) B .21 0.12 0.3 0.12 0.07 0.12 0.03 0.12 0.08 0.12 0.25 0.12 0.02448 Volatility of B = SD(R ) Variance of B .02448 15.65% + = = b. ( ) ( ) ( ) ( ) ( ) 0.1 0.035 0.21 0.4 0.2 0.035 0.3 0.12 0.05 0.035 0.07 0.12 1 Covariance 0.05 0.035 0.03 0.12 5 0.02 0.035 0.08 0.12 0.09 0.035 0.25 0.12 0.00794 − + + + = + + = c. AB Covariance Correlation SD(R )SD(R ) 0.479 = = 11-5. a. The mean for KO is 2.02%; the mean for XOM is 0.79%.
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## This note was uploaded on 12/28/2009 for the course FEWEB CORPFIN taught by Professor Dorsman during the Spring '09 term at Vrije Universiteit Amsterdam.

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chapter11 - Chapter 11 Optimal Portfolio Choice 11-1. a....

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