In: Finance
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.
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% |