You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks: Stock   Investment              Stock’s Beta Coefficient A $160 million 0.5 B 120 million 1.2 C 80 million 1.8 D 80 million 1.0 E 60 million 1.6 Kish’s beta coefficient can be found as a weighted average of its stocks’ betas. The risk-free rate is 6%, and you believe the following probability distribution for future market returns is realistic: Probability                 Market Return 0.1 –28% 0.2 0 0.4 12 0.2 30 0.1 50 (1)What is the equation for the Security Market Line (SML)? (Hint: First, determine the expected market return.) (2)Calculate Kish’s required rate of return. (3)Suppose Rick Kish, the president, receives a proposal from a company seeking new capital. The amount needed to take a position in the stock is $50 million, it has an expected return of 15%, and its estimated beta is 1.5. Should Kish invest in the new company? At what expected rate of return should Kish be indifferent to purchasing the stock?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 25P
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  1. You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks:

Stock   Investment              Stock’s Beta Coefficient

A

$160 million

0.5

B

120 million

1.2

C

80 million

1.8

D

80 million

1.0

E

60 million

1.6

Kish’s beta coefficient can be found as a weighted average of its stocks’ betas. The risk-free rate is 6%, and you believe the following probability distribution for future market returns is realistic:

Probability                 Market Return

0.1

–28%

0.2

0

0.4

12

0.2

30

0.1

50

(1)What is the equation for the Security Market Line (SML)? (Hint: First, determine the expected market return.)

(2)Calculate Kish’s required rate of return.

(3)Suppose Rick Kish, the president, receives a proposal from a company seeking new capital. The amount needed to take a position in the stock is $50 million, it has an expected return of 15%, and its estimated beta is 1.5. Should Kish invest in the new company? At what expected rate of return should Kish be indifferent to purchasing the stock?

 

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