Question

In: Finance

Suppose you are the money manager of a $4.62 million investment fund. The fund consists of...

Suppose you are the money manager of a $4.62 million investment fund. The fund consists of four stocks with the following investments and betas:

Stock Investment Beta
A $   360,000 1.50
B 600,000 (0.50 )
C 960,000 1.25
D 2,700,000 0.75

If the market's required rate of return is 10% and the risk-free rate is 6%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places.

Solutions

Expert Solution

Ans 9.00%

Stock INVESTMENT (i) Beta (ii) Investment* Beta (i)* (ii)
A                       3,60,000                      1.50                                      5,40,000.00
B                       6,00,000                   (0.50)                                   (3,00,000.00)
C                       9,60,000                      1.25                                   12,00,000.00
D                    27,00,000                      0.75                                   20,25,000.00
Total                    46,20,000                                         34,65,000
AVERAGE BETA = (INVESTMENT * BETA) / TOTAL INVESMENT
3465000 / 4620000
0.750000000000
Required Return = Risk free Return + (Market Return - Risk free return)* Beta
Required Return = 6% + (10% - 6%)*0.7500
Required Return = 9.00%

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