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# A money manager is managing the account of a large investor; calculate Stock D's estimated beta.

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A money manager is managing the account of a large investor; the investor holds the following stocks:

STOCK AMOUNT INVESTED ESTIMATED BETA
A \$2,000,000 0.80
B \$5,000,000 1.10
C \$3,000,000 1.40
D \$5,000,000 ????

The portfolio's required rate of return is 17%; the risk-free rate is 7% and the required return on the average stock in the market is 14%.

Calculate Stock D's estimated beta.

a. 1.256

b. 1.389

c. 1.429

d. 2.026

e. 2.154

Show all work.

#### Solution Preview

First we calculate the portfolio Beta using SML:
ER = Rf+(Rm-Rf)*Beta
i.e. 17 = 7 + (14-7)*Beta or 10 = 7*B
Then Beta = ...

#### Solution Summary

This solution assists with calculating Stock D's estimated beta.

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