Equity markets 4 - bills(1-x = 0.811(risky asset 11 If you...

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Chapter 7 Capital Allocation Between the Risky Asset and the Risk-Free Asset Use the following to answer questions 10-13: You are considering investing $1,000 in a T-bill that pays 0.05 and a risky portfolio, P, constructed with 2 risky securities, X and Y. The weights of X and Y in P are 0.60 and 0.40, respectively. X has an expected rate of return of 0.14 and variance of 0.01, and Y has an expected rate of return of 0.10 and a variance of 0.0081. 10. If you want to form a portfolio with an expected rate of return of 0.11, what percentages of your money must you invest in the T-bill and P, respectively? A) 0.25; 0.75 B) 0.19; 0.81 C) 0.65; 0.35 D) 0.50; 0.50 E) cannot be determined Answer: B Difficulty: Moderate Rationale: E(r P ) = 0.6(14%) + 0.4(10%) = 12.4%; 11% = 5x + 12.4(1 - x); x = 0.189 (T-
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Unformatted text preview: bills) (1-x) = 0.811 (risky asset). 11. If you want to form a portfolio with an expected rate of return of 0.10, what percentages of your money must you invest in the T-bill, X, and Y, respectively if you keep X and Y in the same proportions to each other as in portfolio P? A) 0.25; 0.45; 0.30 B) 0.19; 0.49; 0.32 C) 0.32; 0.41; 0.27 D) 0.50; 0.30; 0.20 E) cannot be determined Answer: C Difficulty: Difficult Rationale: E(r P ) = .100.10 = 5w + 12.4(1 - w); x = 0.32 (weight of T-bills); As composition of X and Y are .6 and .4 of P, respectively, then for 0.68 weight in P, the respective weights must be 0.41 and 0.27; .6(.68) = 41%; .4(.68) = 27% Bodie, Investments, Sixth Edition...
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