Question

In: Finance

Jill Angel holds a $200,000 portfolio consisting of the following stocks. The portfolio's beta is 0.875....

Jill Angel holds a $200,000 portfolio consisting of the following stocks. The portfolio's beta is 0.875.
  

Stock Investment Beta
A $50,000 0.50
B $50,000 0.80
C $50,000 1.00
D $50,000 1.20
Total $200,000

If Jill replaces Stock A with another stock, E, which has a beta of 1.60, what will the portfolio's new beta be?

a. 1.10

b. 0.85

c. 1.35

d. 1.30

e. 1.15

Solutions

Expert Solution

Ans e. 1.15

Stock INVESTMENT (i) Beta (ii) Investment* Beta (i)* (ii)
E                  50,000                      1.60                                         80,000.00
B                  50,000                      0.80                                         40,000.00
C                  50,000                      1.00                                         50,000.00
D                  50,000                      1.20                                         60,000.00
Total              2,00,000                                            2,30,000
AVERAGE BETA = (INVESTMENT * BETA) / TOTAL INVESMENT
230000 / 200000
1.15

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