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I have a 4 million dollar investment fund it consists of 4 stocks
stock investment beta
a 400000 1.50
b 600000 -0.50
c 1000000 1.25
d 2000000 0.75
The market required rate of return is 14 percent and the risk free rate is 6 percent, how do I determine the fund's required rate of return
please see the attached file for full solution.
First, you need to find the required rate of return for each stock by using CAPM approach. Under CAPM or Capital Asset Pricing Model approach, we can substitute the values given into the CAPM equation to estimate the stock's required rate of return.
rs = rf + (rm - rf)b where rs is the stock's required rate of return
rm is the market required rate of return
rf is the risk free rate
b is the beta
Stock A
rs = 6% + (14% - 6%)1.50
rs = 18.00%
Stock B
rs = 6% + (14% - 6%)-0.50
rs = 2.00%
Stock C
rs = 6% + (14% - 6%)1.25
rs = 16.00%
Stock D
rs = 6% + (14% - 6%)0.75
rs = 12.00%
Next, you need to find the weight of investment in each stock and multiply them with the required rate for each stock as follows: -
stock investment Weight
a 400000 400000/4000000 = 0.10
b 600000 600000/4000000 = 0.15
c 1000000 1000000/4000000 = 0.25
d 2000000 2000000/4000000 = 0.50
Total 4000000
stock Required rate x Weight
a 18.00% x 0.10 = 1.80%
b 2.00% x 0.15 = 0.30%
c 16.00% x 0.25 = 4.00%
d 12.00% x 0.50 = 6.00%
Total 12.10%