To determine: Expected return on portfolio and the risk of the portfolio.
Explanation of Solution
Calculation of expected return on security A:
Therefore, expected return on security A is 12%
Calculation of expected return on security B:
Therefore, expected return on security B is 16.15%
Calculation of expected return on security C:
Therefore, expected return on security C is 12%
Calculation of expected return on portfolio:
Therefore, expected return on portfolio is 14.93%
Calculation of standard deviation of stock A, B and C
Calculation of standard deviation of portfolio:
Therefore, standard deviation of the portfolio is 2.07%
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Chapter 8 Solutions
Contemporary Financial Management
- Which of the following is included inthe risk-free rate? O A. the default premium O B. the expected inflation premium O C. the liquidity premium O D. the maturity premium O E. All of the above are included in the risk-free rate. Reset Selectionarrow_forwardAssume that security returns are generated by the single-index model, Ri = αi + βiRM + ei where Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 1.4 14 % 23 % B 1.6 16 14 C 1.8 18 17 a. If σM = 22%, calculate the variance of returns of securities A, B, and C. b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)arrow_forwardAssume that security returns are generated by the single-index model,Ri = αi + βiRM + eiwhere Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 0.7 7 % 20 % B 0.9 9 6 C 1.1 11 15 a. If σM = 16%, calculate the variance of returns of securities A, B, and C. b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)arrow_forward
- The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45arrow_forwardProblem 4. Consider tuo scenarios, wi with probability and w with probability Suppose that the return on sonie security is K retum on another security is K uch that the tu0 socurities hane the same risk = -2% in the first scenario and K = 6% in the second scenario. If the = -3% in the first scenario, find the return K in the other scenarioarrow_forwardA change in the risk premium, E(Rm) - Rf, results in... Group of answer choices 1. A change in the vertical intercept of the Security Market Line (SML) 2. No change in the return/beta relationship. 3. A change in the horizontal intercept of the Security Market Line (SML) 4. A change in the slope of the Security Market Line (SML)arrow_forward
- Consider the following information for four portfolios, the market, and the risk-free rate (RFR): Portfolio Return Beta SD A1 0.15 1.25 0.182 A2 0.1 0.9 0.223 A3 0.12 1.1 0.138 A4 0.08 0.8 0.125 Market 0.11 1 0.2 RFR 0.03 0 0 Refer to Exhibit 18.6. Calculate the Jensen alpha Measure for each portfolio. a. A1 = 0.014, A2 = -0.002, A3 = 0.002, A4 = -0.02 b. A1 = 0.002, A2 = -0.02, A3 = 0.002, A4 = -0.014 c. A1 = 0.02, A2 = -0.002, A3 = 0.002, A4 = -0.014 d. A1 = 0.03, A2 = -0.002, A3 = 0.02, A4 = -0.14 e. A1 = 0.02, A2 = -0.002, A3 = 0.02, A4 = -0.14arrow_forwardProvide a descriptive formula for each of the following (e.g., Total risk =?+?): a. Total risk= b. Discount rate= c. Adjusted NPV=arrow_forward1. Suppose there are three complex securities and three different states as follows: Security So S₁(1) S₁ (2) S₁ (3) 1.2 3 0 0 1.8 4 2 0 1.2 2 1 1 2 10 4 A B C D (a) Find the arbitrage-free price of asset D. (b) What is the risk-free return compatible with these asset prices?arrow_forward
- Assume that the return volatility for asset 1 and 2 is 0.2 and 0.3 respectively and the return correlation is 0.7. The portfolio volatility is a) 2.5 b) 3.0 c) 3.5 d) 4arrow_forwardTwo sets of security X and Y have the following characteristics. Security X Probability Return Securty Y Probability Return 0.1 30% 0.5 -20% 0.2 20% 0.25 10% 0.4 10% 0.30 20% 0.2 05% 0.30 30% 0.1 -10% 0.10 40% Required. Calculate the expected return for each Security. Calculate the standard deviation for each security.arrow_forwardGiven the following probability distribution, what is the expected return and the standard deviation of returns for Security J? The answer choice lists expected return and standard deviation in the respective order. State 1 2 3 Pri 0.2 O 12%; 5.18% O 15%; 3.16% O 15%; 6.50% 0.6 0.2 O 20%; 5.00% 15%; 10.00% rj 10% 15 20arrow_forward
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