In: Finance
1. Tom has $300,000 to invest. He invests his money into four stocks with the following betas:
Stock A= $120,000 Beta: 2.15
Stock B= $75,000 Beta: 0.40
Stock C= $50,000 Beta: 0.85
Stock D= $55,000 Beta: 0.66
The risk-free rate is 4%, and the expected market return is 9% Compute the required rate of return on the portfolio.
Ans 10.11%
Stock | INVESTMENT (i) | Beta (ii) | Investment* Beta (i)* (ii) |
A | 1,20,000 | 2.15 | 2,58,000.00 |
B | 75,000 | 0.40 | 30,000.00 |
C | 50,000 | 0.85 | 42,500.00 |
D | 55,000 | 0.66 | 36,300.00 |
Total | 3,00,000 | 3,66,800.00 | |
AVERAGE BETA = | (INVESTMENT * BETA) / TOTAL INVESMENT | ||
366800 / 300000 | |||
1.222666667 | |||
Expected Return = | Risk free Return + (Market Return - Risk free return)* Beta | ||
Expected Return = | 4% + (9% - 4%) *1.222666667 | ||
Expected Return = | 10.11% |