In each of the following cases, determine whether or not there is an arbitrage opportunity and,where possible, describe the steps you would take in order to construct an arbitrage portfolio.Compute the certain payoff from your strategy. A.Two well-diversified portfolios P and Q have expected returns E(r,) = 13% andE(ra) = 10% respectively. Their respective betas are B, = 1 and Bg = 0.5. The risk-freerate is 5% and the borrowing at this rate is not possible.

An arbitrage pricing theory means the balance of the actual gain and predicted gain. It is based on…

A. = 10% respectively. Their respective betas are Bp = 1 and Ba E(ra) rate is 5% and the borrowing at this rate is not possible. Two well-diversified portfolios P and Q have expected returns E(rp) = 13% and 0.5. The risk-free

A. = 10% respectively. Their respective betas are Bp = 1 and Ba E(ra) rate is 5% and the borrowing at this rate is not possible. Two well-diversified portfolios P and Q have expected returns E(rp) = 13% and 0.5. The risk-free

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Assume CAPM holds. What is the correlation between an efficient portfolio and market portfolio? a. 1 b.-1 c.0 d. Not enough information Assume CAPM holds. The risk-free rate is 1% and the expected return on the portfolio is 5%. What is the expected return of a stock with a beta of 2? 70%
9. Suppose you plan to form your overall investment portfolio in two steps: STEP 1: Choose a portfolio of stocks with a zero position in the risk-free asset. STEP 2: Allocate your money between the portfolio from Step 1 and the risk-free asset. Suppose you can borrow and lend as much as you want at the risk-free rate in Step 2. Let Erp be the expected return of the Step 1 portfolio. Let Var(rp) be the variance of the return of the Step 1 portfolio. Let rf be the risk-free rate. How will you form the Step 1 Portfolio? Set the Step 1 portfolio to maximize Erp SettheStep1portfoliotominimizeVar(rp) Set the Step 1 portfolio to maximize Erp - Var(rp) Set the Step 1 portfolio to maximize the ratio Erp/Var(rp) Set the Step 1 portfolio to maximize the ratio (Erp- rf)/Var(rp) None of the above.
Conglomco has a beta of 0.32. If the market return is expected to be 12 percent and the risk-free rate is 5 percent, what is Conglomco's required return? Use the capital asset pricing model (CAPM) to calculate Conglomco's required return.
Asset X has an expected return of 10% and volatility of 10% . If its Sharpe Ratio is 0.60, what is the risk-free rate?
Suppose that the Treasury bill rate is 6% rather than 3%, as we assumed in Table 12.1, and the expected return on the market is 9%. Use the betas in that table to answer the following questions. a. When you assume this higher risk-free interest rate, what makes sense for how you should modify your assumption about the rate of return on the market portfolio? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.) b. Recalculate the expected return on the stocks in Table 12.1. (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.) c. Suppose now that you continued to assume that the expected return on the market remained at 9%. Now what would be the expected returns on each stock? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.)d. Ford offer a higher or lower expected return if the interest rate is 6% rather than 3%? e. Walmart offer a higher or…
The risk-free rate is 3% and the expected rate of return on the market portfolio is 8%. a. Calculate the required rate of return on a security with a beta of 2.16. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. If the security is expected to return 13%, is it overpriced or underpriced?
Assume that both portfolios A and B are well diversified, that E(rA) = 16%, and E(rB) = 14%. If the economy has only one factor, and βA = 1.0, whereas βB = 0.8, what must be the risk-free rate? (Do not round intermediate calculations.)
d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (B¡) = "PIM , where ơị,ɑm are standard deviations of asset i and market OM portfolio, Pim is the correlation between asset i and the market portfolio)
Suppose there are two independent economic factors, M1 and M2. The risk-free rate is 4%, and all stocks have independent firm-specific components with a standard deviation of 49%. Portfolios A and B are both well diversified. Portfolio Beta on M1 Beta on M2 Expected Return (%) A 1.6 2.4 39 B 2.3 -0.7 9 Required: What is the expected return–beta relationship in this economy?
A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent.The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. Compute and justify the expected rate of return would a security earn if it had a 0.45 correlation with the market portfolio and a standard deviation of 55 percent.
Assume that both portfolios A and B are well diversified, that E(rA) = 20% and E(rB) = 15%. If the economy has only one factor, and BetaA = 1.3, whereas BetaB = 0.8, what must be the risk-free rate (write as percentage, rounded to two decimal places)?
Assume that both portfolios A and B are well diversified, that E(rA) = 12%, and E(rB) = 9%. If the economy has only one factor, and βA = 1.2, whereas βB = .8, what must be the risk-free rate?

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