Corporate Finance
Corporate Finance
12th Edition
ISBN: 9781259918940
Author: Ross, Stephen A.
Publisher: Mcgraw-hill Education,
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Chapter 11, Problem 31QAP
Summary Introduction

Adequate information:

Expected return on portfolio [E(RP)] = 9% or 0.09

Standard deviation of the portfolio (σP) = 16% or 0.16

Risk-free rate (Rf) = 4.1% or 0.041

Market expected return [E(RM)] = 11% or 0.11

Security correlation with the market (ρL,M) = 0.38

Standard deviation of the security (σ1) = 60% or 0.60

To compute: Expected rate of return on a security.

Introduction: Expected return on security refers to the yield or return that is anticipated on the security in the future.

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A portfolio that combines the risk-free asset and the market portfolio has an expected return of 6.4 percent and a standard deviation of 9.4 percent. The risk-free rate is 3.4 percent, and the expected return on the market portfolio is 11.4 percent. Assume the capital asset pricing model holds.    What expected rate of return would a security earn if it had a .39 correlation with the market portfolio and a standard deviation of 54.4 percent? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
b. 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 Page 7 of 33 expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent?
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.

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Corporate Finance

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