Fundamentals of Financial Management (MindTap Course List)
Fundamentals of Financial Management (MindTap Course List)
15th Edition
ISBN: 9781337395250
Author: Eugene F. Brigham, Joel F. Houston
Publisher: Cengage Learning
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Chapter 8, Problem 17P
Summary Introduction

To determine: The average beta of the newly added stocks.

Introduction:

Portfolio beta:

The portfolio beta is a measure of the portfolio’s volatility. It measures how the portfolio moves with the movement in the market. A high portfolio beta shows that securities are more volatile in the price movements while a low beta represents that securities are less volatile in the price movements.

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Suppose that a mutual fund manager has a $20 million portfolio with a beta of 1.7. Also suppose that the risk free rate is 4.5% and the market risk premium is 5%. The manager expects to receive an additional $5 million, which is to be invested in a number of new stocks to add to the portfolio. After these stocks are added, the manager would like the fund's required rate of return to be 12%. For notation, let represent the required return, let RF represent the risk free rate, let b represent the beta of a group of stocks, and m represent the market return. According to the video, which equation most closely describes the security market line (SML)? OT=TRE+bx (M + TRF) O TRE-6x (rM - TRF) Or=TRF + TM-TRF ORF + bx (rM - TRF) Hint: Recall that the manager wants the new required rate of return for the portfolio to remain at 12%. Using the equation you just identified, and plugging in the relevant information, yields a beta of the portfolio, after the new stocks have been added, of…
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PORTFOLIO BETA A mutual fund manager has a $20 million portfolio with a beta of 1.5. The risk-free rate is 4.5%, and the market risk premium is 5.5%. The manager expects tO receive an additional $5 million, which she plans to invest in a number of stocks. After investing the additional funds, she wants the fund's required return to be 13%. What should be the average beta of the new stocks added to the portfolio?

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