Question

In: Finance

Joel Foster is the portfolio manager of the Go Anywhere Fund, a $3 million hedge fund...

Joel Foster is the portfolio manager of the Go Anywhere Fund, a $3 million hedge fund that contains the following stocks. The required rate of return on the market is 8.75% and the risk-free rate is 2.50%. What rate of return should investors expect (and require) on this fund?

Stock

Amount

Beta

A

$1,075,000

1.20

B

     675,000

1.50

C

     750,000

3.35

D

     500,000

1.10

$3,000,000

Solutions

Expert Solution

The rate of return is computed as shown below:

= risk free rate + beta ( return on market - risk free rate)

beta is computed as follows:

= Beta of Stock A x [ (Investment in Stock A) / (Investment in Stock A + Investment in Stock B + Investment in Stock C + Investment in Stock D) ] + Beta of Stock B x [ (Investment in Stock B) / (Investment in Stock A + Investment in Stock B + Investment in Stock C + Investment in Stock D) ] + Beta of Stock C x [ (Investment in Stock C) / (Investment in Stock A + Investment in Stock B + Investment in Stock C + Investment in Stock D) ] + Beta of Stock D x [ (Investment in Stock D) / (Investment in Stock A + Investment in Stock B + Investment in Stock C + Investment in Stock D) ]

= 1.20 x $ 1,075,000 / $ 3,000,000 + 1.50 x $ 675,000 / $ 3,000,000 + 3.35 x $ 750,000 / $ 3,000,000 + 1.10 x $ 500,000 / $ 3,000,000

= 0.43 + 0.3375 + 0.8375 + 0.18333333

= 1.788333333

So, the rate of return will be as follows:

= 0.025 + 1.788333333 ( 0.0875 - 0.025)

= 13.68% Approximately

Feel free to ask in case of any query relating to this question


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