In: Finance
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 |
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
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