EBK CFIN
EBK CFIN
6th Edition
ISBN: 9781337671743
Author: BESLEY
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 8, Problem 11PROB
Summary Introduction

Portfolio beta is used to measure the portfolio’s overall systematic risk of an investment which equals the weighted average of all individual stock’s beta coefficient in a portfolio.

The total value of five stocks is $40,000 and the beta coefficient of portfolio is 1.2. The investment in stock 6 is $10,000 and its beta coefficient is 2.2.

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You have $100,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expected return of 24% .Suppose Stock X has an expected return of 18% and beta of 1.4, and Stock Y has an expected return of 12% and beta of 0.8 %. 1. How much money will you invest in Stock Y? 2. What is the beta of your portfolio?
You want your portfolio beta to be 1.30. Currently, your portfolio consists of $100 invested in stock A with a beta of 1.4 and $300 in stock B with a beta of .6. You have another $400 to invest and want to divide it between an asset with a beta of 1.8 and a risk-free asset. How much should you invest in the risk-free asset?
Suppose you hold a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio beta is equal to 1.12. Now, suppose you have decide to sell one of the stocks in your portfolio with a beta equal to 1.0 for 7,500 and to use these proceeds to buy another stocks for your portfolio. Assume the new stocks beta to 1.75. Calculate your portfolios new beta.
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