Question

In: Finance

Matthew decides to invest $1,200,000 into the following five stocks: Stock 1= $500,000 β= 1.22 Stock...

Matthew decides to invest $1,200,000 into the following five stocks:

Stock 1= $500,000 β= 1.22

Stock 2= $300,000 β= 0.21

Stock 3= $140,000 β= 0.92

Stock 4= $160,000 β= -0.36

Stock 5= $100,000 β= 2.35

Risk free rate: 2.50%

Expected market return is 7%.

What is the required rate of return for the above?

Please show equations/formulas used in excel to explain how you got the answer. Thanks!

Solutions

Expert Solution

Ans 6.17%

Stock INVESTMENT (i) Beta (ii) Investment* Beta (i)* (ii)
1              5,00,000                      1.22                                      6,10,000.00
2              3,00,000                      0.21                                         63,000.00
3              1,40,000                      0.92                                      1,28,800.00
4              1,60,000                   (0.36)                                       (57,600.00)
5              1,00,000                      2.35                                      2,35,000.00
Total            12,00,000                                            9,79,200
AVERAGE BETA = (INVESTMENT * BETA) / TOTAL INVESMENT
979200 / 1200000
0.816
Required Return = Risk free Return + (Market Return - Risk free return)* Beta
Required Return = 2.50% + (7% - 2.50%)*0.816
Required Return = 6.17%

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