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46. (3 points) An investor has constructed a portfolio with the following investments: ASSET: DOLLARS INVESTED: BETA: Apple $15,000 1.40 Kelloggs $5,000 0.20 S&P 500

46. (3 points) An investor has constructed a portfolio with the following investments:

ASSET: DOLLARS INVESTED: BETA:
Apple $15,000 1.40
Kelloggs $5,000 0.20
S&P 500 Index $20,000 1.00

The investor has a target return of 9% on the portfolio (using CAPM). The current risk free rate in the economy is 4%, while the market portfolio risk premium is 6.00%.

The investor will invest dollars in a Treasury bill to adjust the risk in the portfolio to hit the beta needed for the 9% return. How much money should the investor put in Treasury bills to meet her goals? (assume that the dollars invested in the rest of the portfolio do not change)

a. $10,400
b. $12,200
c. $16,400
d. $23,000
e. $25,250

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