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assume you have all your wealth (a million dollars) invested in the Vanguard 500 index fund and that you expect to earn an annual return

assume you have all your wealth (a million dollars) invested in the Vanguard 500 index fund and that you expect to earn an annual return of 12%, with a standard deviation in returns of 25%. You have become more risk averse, and so you decide to shift $200,00 form Vanguard 500 index fund to treasury bills. The treasury bill rate is 5%. Estimate the expected return and standard deviation of your new portfolio

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