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I can follow how to do this one until the last step Req B. (40/100)x1+ (60/100)x1.4583... I cant get it to add up to 1.76.

I can follow how to do this one until the last step Req B. (40/100)x1+ (60/100)x1.4583... I cant get it to add up to 1.76. Please help. thanks in advance Hazel Morrison, a mutual fund manager, has a $40 million portfolio with a beta of 1.00. The risk-free rate is 4.25%, and the market risk premium is 6.00%. Hazel expects to receive an additional $60 million, which she plans to invest in additional stocks. After investing the additional funds, she wants the fund's required and expected return to be 13.00%. What must the average beta of the new stocks be to achieve the target required rate of return?
Selected Answer: [None Given]
Answers: a. 1.85
b. 1.76
c. 2.04
d. 1.94
e. 1.68
Response Feedback: Rationale:
Old funds (millions)

$ 40.00

40.00%

New funds (millions)

$ 60.00

60.00%

Total new funds

$100.00

100.00%

Beta on existing portfolio

1.00

Risk-free rate

4.25%

Market risk premium

6.00%

Desired required return

13.00%

13% = rRF+ b(RPM); b = (13%rRF)/RPM
Required new bp

1.4583

beta = (ReturnRisk-free)/RPM
Required beta, new stocks

1.76

Req. b = (Old$/Total$)Old b +
(New$/Total$)New b

Beta on new stocks = (Req. b(Old$/Total$)Old b)/(New$/Total$)

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