Corporate Finance
Corporate Finance
12th Edition
ISBN: 9781259918940
Author: Ross, Stephen A.
Publisher: Mcgraw-hill Education,
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Chapter 11, Problem 37QAP

a.

Summary Introduction

Adequate information:

    Price of Stock A today (P0)$75
    Price of Stock A in Next YearProbability
    Recession$64 (P1)0.20 (PR)
    Normal$87 (P2)0.60 (PN)
    Expanding$97 (P3)0.20 (PE)

Stock A correlation with market (?A,M) = 0.70

Expected return on Stock B [E(RB)] = 14%

Standard deviation of Stock B (σB) = 34%

Stock B correlation with market (ρB,M) = 0.24

Stock B correlation with Stock A (ρB,A) = 0.36

Market standard deviation (σM) = 18%

To compute: Which stock would be preferred by an investor, if the investor is risk-averse?

Introduction: Systematic risk also known as non-diversifiable risk and is measured by the value of beta. The higher the value of beta, the higher the value of the systematic risk.

b.

Summary Introduction

Adequate information:

    Price of Stock A today (P0)$75
    Price of Stock A in Next YearProbability
    Recession$64 (P1)0.20 (PR)
    Normal$87 (P2)0.60 (PN)
    Expanding$97 (P3)0.20 (PE)

Stock A correlation with market (ρA,M) = 0.70

Expected return on Stock B [E(RB)] = 14%

Standard deviation of Stock B (σB) = 34%

Stock B correlation with market (ρB,M) = 0.24

Stock B correlation with Stock A (ρB,A) = 0.36

Market standard deviation (σM) = 18%

Weight of Stock A (WA) = 70% or 0.70

Weight of Stock B (WB) = 30% or 0.30

To compute: The expected return and standard deviation of the portfolio.

Introduction: Expected return simply refers to the return that is anticipated on the investment.

c.

Summary Introduction

Adequate information:

    Price of Stock A today $75
    Price of Stock A in Next YearProbability
    Recession$640.2
    Normal$870.6
    Expanding$970.2

Stock A correlation with market = 0.70

Expected return on Stock B [E(RB)] = 14%

Standard deviation of Stock B (σB) = 34%

Stock B correlation with market = 0.24

Stock B correlation with Stock A = 0.36

Market standard deviation = 18%

Weight of Stock A (WA) = 70% or 0.70

Weight of Stock B (WB) = 30% or 0.30

To compute: Beta of the portfolio

Introduction: The beta of a portfolio shows the systematic risk component of a portfolio.

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Corporate Finance

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