CORPORATE FINANCE CUSTOM W/CONNECT >BI
CORPORATE FINANCE CUSTOM W/CONNECT >BI
11th Edition
ISBN: 9781307036633
Author: Ross
Publisher: MCG/CREATE
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Chapter 12, Problem 10QP

a.

Summary Introduction

To determine: To Construct a Portfolio Containing Securities 1 and 2, the Expected Return and β2 Coefficient.

Introduction:

Arbitrage Pricing Theory (APT) is a substitute form of CAPM (Capital Asset Pricing Model). This hypothesis, as CAPM gives financial specialists or investors assessed required rate of return for the risky securities. APT reflects on risk premium premise indicated set of elements notwithstanding the correlation of the cost of the asset with expected surplus return on the portfolio.

b.

Summary Introduction

To determine: To Construct a Portfolio Containing Securities 3 and 4, the Expected Return and β2 Coefficient.

c.

Summary Introduction

To determine: The Possible Arbitrage Opportunity.

d.

Summary Introduction

To determine: The Effects of Existence of such Arbitrage Opportunities’ and Graphing the Findings.

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Suppose you observe the following situation on two securities:Security           Beta   Expected Return Pete Corp.       0.8      0.12 Repete Corp.   1.1      0.16 Assume these two securities are correctly priced. Based on the CAPM, what is the return on the market?
Assume that security returns are generated by the single-index model,Ri = αi + βiRM + eiwhere Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data:  Security βi E(Ri) σ(ei) A 0.7 7 % 20 % B 0.9 9   6   C 1.1 11   15     a. If σM = 16%, calculate the variance of returns of securities A, B, and C.   b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)
Assume that security returns are generated by the single-index model,   Ri = αi + βiRM + ei where Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data:   Security βi E(Ri) σ(ei) A 1.4 14 % 23 % B 1.6 16   14   C 1.8 18   17       a. If σM = 22%, calculate the variance of returns of securities A, B, and C.   b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)
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