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- The market portfolio (M) has the expected rate of return E(rM) = 0.12. Security A is traded in the market. We know that E(rA) = 0.17 and βA = 1.5. (1) What is the rate of return of the risk-free asset (rf)? (2) Security B is also traded in the market. βB = 0.8. Then what is “fair” expected rate of return of security B according to the CAPM? (3) Security C is a third security traded in the market. βC = 0.6, and from the market price, investors calculate E(rC) = 0.1. Is C overpriced or underpriced? What is αC?Stock A's beta is 1.7 and Stock B's beta is 0.7. Which of the following statements must be true about these securities? (Assume market equilibrium.) a. Stock B must be a more desirable addition to a portfolio than A. b. Stock A must be a more desirable addition to a portfolio than B. c. The expected return on Stock A should be greater than that on B. d. The expected return on Stock B should be greater than that on A. e. When held in isolation, Stock A has more risk than Stock B.In the APT model, what is the nonsystematic standard deviation of an equally-weighted portfolio that has an average value of σ(ei) equal to 20% and 40 securities? A. 0.5% B. 3.16% C. 3.54% D. 12.5% E. 625%
- how to find the current market price of your market portfolio according to No Arbitrage condition? With weights (-0.6906057,1.21794211, 047266359) and expected returns (0.31%,2.1859%,1.4475%), where 0.31% is the risk free rateConsider a portfolio consisting of the below securities with the below characteristics: Security Amount Invested($) Beta Expected Return A 1,5 MIL 1.0 12.0%B 1.0 MIL 1.5 13.5%C 2.0 MIL 0.8 9.0% Required:a) Calculate the portfolio’s Beta. b) Calculate the portfolio’s expected return. c) Discuss the Capital Asset Pricing Model (CAPM) explaining what it is used forand which are its limitations.1. Consider a Treasury bill with a rate of return of 1% and the following risky securities: Security A: E(r) =0.1; variance = 0.03; Security B: E(r) = 0.015; variance = 0.0225; Security C: E(r) = 0.07; variance = 0.04; Security D: E(r) = 0.25; variance = 0.25.The investor must develop a complete portfolio by combining the risk-free asset with one of the securities mentioned above. The security the investor should choose as part of her complete portfolio to achieve the best CAL would be _________." A B C D 2. Security with normally distributed returns has an annual expected return of 10% and a standard deviation of 6%. The probability of getting a return between -1.76% and 21.76% in any one year is NOTE: All answers should be express in strictly numerical terms. For example, if the answer is 5%, write 0.05
- (c) Explain why, in general, the portfolio risk is lower than the weighted average of individual stocks’ risk. (d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.Consider two securities, A and B, whose standard deviations of returns and betas are given below: Security A Security B Standard deviation 15% 25% Beta 1.30 0.75 Which security will have the higher risk premium? Security A or B?Which of the following statements is CORRECT? a. Lower beta stocks have higher required returns. b. A stock's beta indicates its diversifiable risk. c. Diversifiable risk cannot be completely diversified away. d. Two securities with the same stand-alone risk must have the same betas. e. The slope of the security market line is equal to the market risk premium.
- The expected return of a portfolio that is totally invested in the risk free asset is caclculated as: E(R) = WA * E(RA) Wf * E(RB) = 0 * 0.16 1.0 * 0.08 = 0 0.08 = 0.08 or 8% Therefore the expected return of a portfolio with risk free asset is 8% There is no standard deviation for the risk free asset. Please full ExplainQ1) The covariance between stocks A and B is 0.0014, standard deviation of stock A is 0.032, and standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk-return characteristics of a portfolio consisting of only stocks A and B, and explain why? (Image attached as Q)Consider a T-bill with a rate of return of 6% and the following risky securities: Security A: E(r) = 9%; Standard Deviation = 9% Security B: E(r) = 10%; Standard Deviation = 11% security C: E(r)= 16%; Standard Deviation = 20% Security D: E(r) = 18%; Standard Deviation = 26% From which set of portfolios, formed with the T-bill and any one of the four risky securities, woulda risk-averse investor always choose his portfolio? Select one: A. The set of portfolios formed with the T-bill and security D. B.The set of portfolios formed with the T-bill and security A. oC. The set of portfolios formed with the T-bill and security B. D. The set of portfolios formed with the T-bill and security c. E. Cannot be determined.