You are considering two alternative two-year investments: You can invest in a risky asset with a positive risk premium and returns in each of the two years that will be identically distributed and uncorrelated, or you can invest in the risky asset for only one year and then invest the proceeds in a risk-free asset. Which of the following statements about the first investment alternative (compared with the second) are true?a. Its two-year risk premium is the same as the second alternative.b. The standard deviation of its two-year return is the same.c. Its annualized standard deviation is lower.d. Its Sharpe ratio is higher.e. It is relatively more attractive to investors who have lower degrees of risk aversion.

You are considering two alternative two-year investments: You can invest in a risky asset with a positive risk premium and returns in each of the two years that will be identically distributed and uncorrelated, or you can invest in the risky asset for only one year and then invest the proceeds in a risk-free asset. Which of the following statements about the first investment alternative (compared with the second) are true?a. Its two-year risk premium is the same as the second alternative.b. The standard deviation of its two-year return is the same.c. Its annualized standard deviation is lower.d. Its Sharpe ratio is higher.e. It is relatively more attractive to investors who have lower degrees of risk aversion.

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter11: Capital Budgeting And Risk

Section: Chapter Questions

Problem 8P

See similar textbooks

Similar questions

Which of the following statements is true? Select one of the options i. – iii.The future value of an investment (A) after two years with an annualcompound interest (i) isi. less than the future value of the investment (A) after two years withsimple interest (i)ii. equals to the future value of the investment (A) after two years withsimple interest (i)iii. greater than the future value of the investment (A) after two years withsimple interest (i).
Assume that you have a short investment horizon (less than 1 year). You are consideringtwo investments: a 1-year Treasury security and a 20-year Treasury security. Which of thetwo investments would you view as being riskier? Explain.
Suppose you are considering investing your entire portfolio in three assets A, B and C. You expect that after you invest, four possible mutually exclusive scenarios will occur, with associated returns (in %) for each of the three assets as listed below. The probability of each scenario is given below. A B C Probabilities return 0.05 0.50% -3.60% 3.60% 0.35 0.60% 2.75% 0.15% 0.45 3.66% 1.45% 0.45% 0.15 -4.80% -0.60% 6.30% Find the expected returns and standard deviations of Asset A, B & C. (HINT: the expected return is given by the probability-weighted sum of returns in each scenario. The expected standard deviation is given by the square root of the probability-weighted sum of squared deviations from the expected return.) Is there any reason to invest in Asset A given its low expected return and high standard deviation?
Jerome J. Jerome is considering investing in a security that has the following distribution of possible one-year returns: Probability of occurrence 0.10 0.20 0.30 0.30 0.10 Possible return −0.10 0.00 0.10 0.20 0.30 a. What is the expected return and standard deviation associated with the investment?
Suppose you are considering investing your entire portfolio in three assets A, B and C. You expect that after you invest, four possible mutually exclusive scenarios will occur, with associated returns (in %) for each of the three assets as listed below. The probability of each scenario is given below (Attached image). Find the expected returns and standard deviations of Asset A, B & C. (HINT: the expected return is given by the probability-weighted sum of returns in each scenario. The expected standard deviation is given by the square root of the probability-weighted sum of squared deviations from the expected return.) Is there any reason to invest in Asset A given its low expected return and high standard deviation?
WINNER plans to invest in one of two stocks, each of which requires the same initial investment. The estimated return (cash flow) of these investments for the next year depends on economic conditions and their respective possibilities. State of Economy Probability Rate of Return Stock A Stock B Boom 0.15 0.30 0.25 Normal 0.55 0.12 0.08 Recession 0.30 0.01 -0.05 i) Compute expected rate of return for each asset. ii) Compute variance and standard deviation of rate of return for each asset. iii) Which asset should they purchase?
Suppose there are two investments A and B. Either investment A or B has a 4.5% chance of a loss of $15 million, a 2% chance of a loss of $2 million, and a 93.5% change of a profit of $2 million. The outcomes of these two investments are independent of each other. (a) What is the 95% VaR of investment A? How about investment B? (b) What is the 95% for a portfolio consisting of both investments A and B?(Hint: write out the probabilities of all possible portfolio outcomes.) (c) Is the summation of the 95% VaRs of the individual investments greater or smaller than the 95% VaR of the portfolio? If we measure the risk of an investment or portfolio using VaR, does this suggest that diversificationmust decrease risk? (Intuitively, putting A and B in a portfolio is a form of diversification.)
This question will compare two different arbitrage situations. Recall that arbitrage should equalize rates of return. We want to explore what this implies about equalizing prices. In the first situation, two assets, A and B, will each make a single guaranteed payment of $100 in 1 year. But asset A has a current price of $80 while asset B has a current price of $90.a. Which asset has the higher expected rate of return at current prices? Given their rates of return, which asset should investors be buying and which asset should they be selling?b. Assume that arbitrage continues until A and B have the same expected rate of return. When arbitrage ceases, will A and B have the same price?Next, consider another pair of assets, C and D. Asset C will make a single payment of $150 in one year while D will make a single payment of $200 in one year. Assume that the current price of C is $120 and that the current price of D is $180.c. Which asset has the higher expected rate of return at current…
Two assets, A and B, have the same expected return (10%) and the same level of risk (average). Which of the following statements is true? Select one: a. A rational investor will either put 100% of her funds into asset A or 100% of her funds into asset B because the return same but the investor will not have to track two separate investments. b. A combination of assets A and B will have the same expected return (10%) as either asset A or asset B, but may have less than average risk depending on how the cash flows from each asset move together. c. A rational investor is indifferent between investing 100% in A, 100% in B, or a combination of A and B, because the return and risk will be the same. d. A combination of assets A and B will result in the same expected return (10%) as investing 100% in A or 100% in B, but the risk will increase because now two investments are at risk.
An investor has an opportunity to invest in two risky assets and a risk-free asset. Theexpected return of the two risky assets are μ1 = 0.12, μ2 = 0.15. Their standarddeviations are σ1 = 0.05 and σ2 = 0.1, and the correlation coefficient between theirreturn is 0.2. The risk-free rate is 0.05. Suppose the investor has $1000 and he wantsto hold a portfolio with expected return of 0.1. If the investor is risk averse, how muchshould he invest in the two risky assets and the risk-free asset?
Suppose you have a project that has a 0.4 chance of tripling your investment in a year and a 0.6 chance of halving your investment in a year. What is the standard deviation of the rate of return on this investment? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places.) What is the standard deviation?
Calculate the required rate of return for an asset that has a beta of 1.01, given a risk-free rate of %3.4 and a market return of %9.1 . b. If investors have become more risk-averse due to recent geopolitical events, and the market return rises to %11.6, what is the required rate of return for the same asset? a. The required rate of return for the asset is enter your response here%. (Round to two decimal places.) Part 2 b. If investors have become more risk-averse due to recent geopolitical events, and the market return rises to 11.6%, the required rate of return for the same asset is enter your response here%. (Round to two decimal places.)