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An retiree has decided to create a portfolio that contains the Vanguard S&P 500 Index fund, an aggressive growth mutual fund, and government Treasury bills.

An retiree has decided to create a portfolio that contains the Vanguard S&P 500 Index fund, an aggressive growth mutual fund, and government Treasury bills. The S&P 500 Index fund is identical in risk to the market portfolio, while the aggressive growth mutual fund has a beta of 1.50. The retiree has decided on the following plan:

ASSET:

Dollars Invested:

Treasury Bills

$200,000

Vanguard S&P 500

$150,000

Aggressive Growth Fund

$450,000

Currently, investors are earning a 2% return on the Treasury bills. The retiree is not sure about the expected return on the Vanguard fund, but he does know that the market portfolio risk premium is 6.00%. What is the expected value of this portfolio in one year if we use the required return?

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