Suppose that a two-factor model, where the factors are the market return and the growth rate of industrial production, correctly describes the risk-return characteristics of all assets. Consider two well-diversified portfolios A, B, and C with the following characteristics. The risk-free rate is 5%. Portfolio Expected Return Sensitivity to Factor 1 Sensitivity to Factor 2 A 10% 1 -1 B 15% 0.5 1 ? 1 0.5 What is the APT-consistent expected rate of return on C? 12.5% O 17.5% O 2.5% O 7,5%

Suppose that a two-factor model, where the factors are the market return and the growth rate of industrial production, correctly describes the risk-return characteristics of all assets. Consider two well-diversified portfolios A, B, and C with the following characteristics. The risk-free rate is 5%. Portfolio Expected Return Sensitivity to Factor 1 Sensitivity to Factor 2 A 10% 1 -1 B 15% 0.5 1 ? 1 0.5 What is the APT-consistent expected rate of return on C? 12.5% O 17.5% O 2.5% O 7,5%

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter3: Risk And Return: Part Ii

Section: Chapter Questions

Problem 2P: APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free...

See similar textbooks

Similar questions

APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 6%, the expected return on the first factor (r1) is 12%, and the expected return on the second factor (r2) is 8%. If bi1 = 0.7 and bi2 = 0.9, what is Crisp’s required return?
Calculate the correlation coefficient between Blandy and the market. Use this and the previously calculated (or given) standard deviations of Blandy and the market to estimate Blandy’s beta. Does Blandy contribute more or less risk to a well-diversified portfolio than does the average stock? Use the SML to estimate Blandy’s required return.
We believe that the single factor model can predict any individual asset’s realized rate of return well. Both Portfolio A and Portfolio B are well-diversified: ri = E(ri) + βiF + Ei, where E(ei) = 0 and Cov(F, i) = 0 A B β 1.2 0.8 E(r) 0.1 0.08 (1) What is the rate of return of the risk-free asset? (2) What is the expected rate of return of the well-diversified portfolio C with βC = 1.6, which also exists in the market? (3) A fund constructs a well-diversified portfolio D. Studies show that βD = 0.6. The expected rate of return of D is 0.06. Is there an arbitrage opportunity? If so, construct a trading strategy to earn profits with no risk. If not, why?
Assume that the following one-factor macroeconomic model describes the expected return for portfolios: Also assume that all investors agree on the expected returns and factor sensitivity of the three highly diversified Portfolios A, B, and C given in the following table: Portfolio Expected Return Factor Sensitivity A 0.09 0.50 B 0.13 0.75 C 0.17 1.50 If the model and the table are both correct, determine whether or not an arbitrage opportunity exists. If not, why not? If so, explain how to exploit it.
Assume for parts (a) to (h) that the Capital Asset Pricing Model holds. The marketportfolio has an expected return of 5%. Stock A’s return has a market beta of 1.5, anexpected value of 7% and a standard deviation of 10%. Stock B’s return has amarket beta of 0.5 and a standard deviation of 20%. The correlation between stockA’s and stock B’s return is 0.5.Required:a) Explain the term ‘capital asset pricing model.’b) What is the risk-free rate?c) What is the expected return on stock B?d) Draw a graph with expected return on the y-axis and beta on the x-axis. Indicate the approximate position of the risk-free asset, the market portfolio and stocks A and B on this graph. Draw the line, which connects these four points.e) Explain the term ‘Securities Market Line’, and what is the slope of the SML for this economy?f) Consider a portfolio with a weight of 50% in stock A and 50% in stock B. What are its variance and expected return?g) Where would under-priced and over-priced securities plot on…
Suppose that you use Arbitrage Pricing Theory (APT) to evaluate well-diversified portfolios. The three factor portfolios used in an APT model, portfolios 1, 2, and 3, have expected returns E(r1) = 5%, E(r2) = 3%, and E(r3) = 8%. Suppose further that the risk-free rate (λ0) is 2%. Calculate the total return on a well- diversified portfolio with its beta on the first factor, βA1 = 1.1, beta on the second factor, βA2 = .9, and beta on the third factor, βA3 = 1.2.
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 percent
Consider the following information on the estimated factor loadings for a two-factor APT model for three well-diversified portfolios. Beta1 Beta2 E(r) Port A 1.5 .3 .15 Port B .75 .65 .15 Port C 0 1.0 .21 The risk-free rate is 1% per annum. Beta1 is the factor loading on Factor 1 and Beta2 is the factor loading for factor 2; E(r) denotes the expected return. Assume there are no transactions costs and that you can short the portfolios and borrow and lend at the risk-free rate (you can obviously go long in the portfolios too). This question has you determine whether or not there exists an arbitrage opportunity with…
Suppose that the S&P 500, with a beta of 1.0, has an expected return of 13% and T-bills provide a risk-free return of 4%. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0? How does expected return vary with beta?
Consider the one-factor APT. Assume that two portfolios, A and B, are well diversified. The betas of portfolios A and B are 1.0 and 1.5, respectively. The expected returns on portfolios A and B are 19% and 24%, respectively. Assuming no arbitrage opportunities exist, the risk-free rate of return must be 14% 9% 16.5% 4%
a) Consider two assets with the following characteristics: Expected return of asset 1 = 0.15, Standard deviation of asset 1 = 0.10, portion in asset 1 = 0.5 Expected return of asset 2 = 0.20, Standard deviation of asset 2 = 0.20, Compute the expected return and standard deviation of portfolio if correlation coefficient (r1,2) = 0.40 and (r1,2)= -0.60 b) Why do most investors hold diversified portfolio?
You are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets. PORTFOLIO EXPECTED RETURN STANDARD DEVIATION Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% a) For each portfolio, calculate the risk premium per unit of risk that you expect to receive [(E(R) –RFR)/ơ]. Assume that the risk free rate is 3.0%. b) Using…