Consider the multifactor APT. There are two independent economic factors, F1 and F2. The risk-free rate ofreturn is 3%. The following information is available about two well-diversified portfolios:PortfolioB on F1B on F2Expected Return0.51.511.5%2.0-1.09.0%Assuming no arbitrage opportunities exist, the risk premium on the factor portfolios F1 and F2 should be:ABO a. 12.14%, 9.29%O b. 9.29%, 12.14%O c. 5%,4%O d. 4%,5%

Consider the multifactor APT. There are two independent economic factors, F1 and F2. The risk-free rate of return is 3%. The following information is available about two well-diversified portfolios: Portfolio B on F1 3 on F2 Expected Return 0.5 1.5 11.5% 2.0 -1.0 9.0% Assuming no arbitrage opportunities exist, the risk premium on the factor portfolios F1 and F2 should be: A B O a. 12.14%, 9.29% O b. 9.29 %, 12.14% O c. 5%,4% O d. 4%,5%

Consider the multifactor APT. There are two independent economic factors, F1 and F2. The risk-free rate of return is 3%. The following information is available about two well-diversified portfolios: Portfolio B on F1 3 on F2 Expected Return 0.5 1.5 11.5% 2.0 -1.0 9.0% Assuming no arbitrage opportunities exist, the risk premium on the factor portfolios F1 and F2 should be: A B O a. 12.14%, 9.29% O b. 9.29 %, 12.14% O c. 5%,4% O d. 4%,5%

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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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.
Consider the multifactor model APT with three factors. Portfolio A has a beta of 0.8 on factor 1, a beta of 1.1 on factor 2, and a beta of 1.25 on factor 3. The risk premiums on the factor 1, factor 2, and factor 3 are 3%, 5%, and 2%, respectively. The risk-free rate of return is 3%. The expected return on portfolio A is __________ if no arbitrage opportunities exist. A. 23.0% B. 16.5% C. 13.4% D. 13.5%
Consider the following information: The possible rate of return for a portfolio for an investment is shown below.Probability Possible rate of return 0.25 0.09 0.25 0.11 0.25 0.13 0.25 0.16What is the expected rate of return for the investment?
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.0% 13.0 .8.5 12.0 7.2 Ор 39.00% 34.00 24.00 29.00 0 Bp 1.50 1.15 0.90 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.90. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squared
As diversification increases, the firm-specific risk of a portfolio approaches A. 1. B. infinity. C. 0. D. (n – 1) × n.
Based on the hypothetical portfolios provided in the table below, which of the portfolios would lie on the Efficient Frontier? Portfolio Expected Return Risk A B с D E 4% 6% 8% 8% 10% 3% 3% 5% 8% 12%
An efficient portfolio is one that: Select one: a. maximises return for a given level of risk. b. maximises risk for a given level of return. c. minimises risk for a given rate of return. d. Both A and C. are efficient portfolios.
Consider the following portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) /n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.i) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?ii) Find A as a function of w.
Consider a risky portfolio, A, with an expected rate of return of 0.15 and a standard deviation of 0.15, that lies on a given indifference curve. Which one of the following portfolios might lie on the same indifference curve? A. E(r) = 0.15; Standard deviation = 0.20 B. E(r) = 0.20; Standard deviation = 0.15 C. E(r) = 0.10; Standard deviation = 0.10 D. E(r) = 0.10; Standard deviation = 0.20 E. E(r) = 0.15; Standard deviation = 0.10
4. Explain what the Capital Asset Pricing Model (CAPM) is and calculate and explain the result of the CAPM based on the following data. a. Expected Return: 8% b. Risk-free rate: 4% c. Beta of the investment: 1.2 ER=Rf+B(ERm - Rf) where: ER = expected return of investment Rf risk-free rate B;= beta of the investment - (ERm - Rf) = market risk premium
Consider two well-diversified portfolios: Portfolio 1 has an expected return of 8% and a beta of 0.80 while Portfolio 2 has an expected return of 13% and a beta of 1.50. If the risk-free rate is 1.5%, which portfolio would a rational risk-averse investor prefer and why? O A. Portfolio 2 because it has the higher reward to risk ratio. O B. Portfolio 1 because it has the higher reward to risk ratio. OC. Portfolio 2 because it has the higher reward. O D. Portfolio 1 because it has the lower risk.
What are the risk premiums of the two factors and what is the risk-free rate?

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