In: Finance
PORTFOLIO REQUIRED RETURN
Suppose you are the money manager of a $4.78 million investment fund. The fund consists of four stocks with the following investments and betas:
Stock | Investment | Beta |
A | $ 500,000 | 1.50 |
B | 420,000 | (0.50) |
C | 1,460,000 | 1.25 |
D | 2,400,000 | 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 9.49%
Stock | INVESTMENT (i) | Beta (ii) | Investment* Beta (i)* (ii) |
A | 5,00,000 | 1.50 | 7,50,000.00 |
B | 4,20,000 | (0.50) | (2,10,000.00) |
C | 14,60,000 | 1.25 | 18,25,000.00 |
C | 24,00,000 | 0.75 | 18,00,000.00 |
Total | 47,80,000 | 41,65,000.00 | |
AVERAGE BETA = | (INVESTMENT * BETA) / TOTAL INVESMENT | ||
4165000 / 4780000 | |||
0.871338912 | |||
Required Return = | Risk free Return + (Market Return - Risk free return)* Beta | ||
Required Return = | 6% + (10% - 6%)*0.871338912 | ||
Required Return = | 9.49% | ||