e risk-free rate of return is 6 per cent. The market rate of return is 12 per cent with a standard deviation of 8 per cent. If you desire to earn a rate of return of 10 per cent, in what proportion should you hold market portfolio and the risk-free asset
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- Consider an asset with a beta of 1.2, a risk-free rate of 4.3%, and a market return of 12%. What is the reward-to-risk ratio in equilibrium? What is the expected return on the asset?Suppose the risk-free rate is 6 percent and the market portfolio has an expected return of 12 percent. The market portfolio has a standard deviation of 7 percent. Portfolio Z has a correlation coefficient with the market of 0.35 and standard deviation of 6 percent. According to the capital asset pricing model, what is the expected return on portfolio Z a. 12.6 percent b. 7.8 percent c. 9.87 percent d. 12.05 percenta. Calculate the required rate of return for an asset that has a beta of 1.19, given a risk-free rate of 2.7% and a market return of 8.9%. b. If investors have become more risk-averse due to recent geopolitical events, and the market return rises to 12.1%, what is the required rate of return for the same asset?
- Compute the expected rate of return on investment i given the followinginformation: Rf = 8%; E(RM) = 14%; βi = 1.0.b. Recalculate the required rate of return assuming βi is 1.8.25. a. Compute the expected rate of return on investment i given the followinginformation: the market risk premium is 5%; Rf = 6%; βi = 1.2.b. Compute E(RM)The risk-free rate is currently 3.3%, and the market return is 14.8%. Assume you are considering the following investments: Investment Beta A 1.54 B 1.16 C 0.51 D 0.11 E 2.14 . a. Which investment is most risky? Least risky? b. Use the capital asset pricing model (CAPM) to find the required return on each of the investments. c. Find the security market line (SML), using your findings in part b. d. On the basis of your findings in part c, what relationship exists between risk and return? Explain.Suppose there is a risk-free asset whose return is 2% and that the market portfolio has an expected return of 10%. The standard deviation of the market portfolio is given 25%.(a) Find the security market line.(b) Suppose there is an asset whose covariance with the market is given by 450%^2. Find its equilibrium price according to CAPM.
- a) Suppose the risk-free rate is 1% and the expected rate of return on the market portfolio is 10%. In your view, the expected rate of return of a security is 12.2%. Given that this security has a beta of 1.4, do you consider it to be overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model? Please provide the details of your calculations and discuss your resultsConsider an economy with a (net) risk-free return r1 = 0:1 and a market portfolio with normally distributed return, with ErM = 0:2 and 2M = 0:02. Suppose investor A has CARA preferences, with risk aversion coe¢ cient equal to 1 and an endowment of 10. a) Write down the maximization problem for the investor. b) Determine the amount invested in the risky portfolio and in the risk-free asset. c) Suppose another investor (B) has a coe¢ cient of absolute risk aversion equal to 2 (and the same endowment 10). Compute his optimal portfolio and compare it to that of investor A. Explain the di§erent results for investors A and B. d) Finally, consider Investor C with mean-variance preferences Ec V ar(c) (and endowment 10). Compute his optimal portfolio and compare it to that of investors A and B (as obtained in questions b and c). Compare your result with those obtained for investors A and B.Assume that the risk-free rate, RF, is currently 9% and that the market return, rm, is currently 16%. a. Calculate the market risk premium. b. Given the previous data, calculate the required return on asset A having a beta of 0.4 and asset B having a beta of 1.8.
- Suppose the risk-free rate is 5%. The expected return and standard deviation of a risky asset are 10% and 20%, respectively. a. What is the slope of the capital allocation line (CAL) constructed using the risk-free asset and the risky asset? A. 0.30 B. 0.15 C. 0.25 D. 0.20 b. If an investor has a risk aversion coefficient of A=2, what is the optimal fraction of the money that she invests in the risky asset? A. 62.5% B. 42.5% C. 30% D. 20% c. If an investor invest 25% of her money in the risky asset, which is the investor’s risk aversion coefficient? a. 5 b. 1 c. 3 d. 4Supposing the return from an investment has the following probability distribution Return Probability R (%) 8 0.2 10 0.2 12 0.5 14 0.1 Required: What is the expected return of the investment? What is the risk as measured by the standard deviation of expected returns?Calculate the expected return from the following security using the CAPM Capital Asset Pricing Model: Standard Deviation of Security = 0.18 Standard Deviation of Market Portfolio = 0.10 Expected Return on Market Portfolio = 0.09 Correlation between possible Returns for the Security and the Market Portfolio = 0.70. Expected Risk Free Rate = 0.03