Percival Hygiene has $10 million invested in long-term corporate bonds. This bond portfolio’s expected annual rate of return is 12%, and the annual standard deviation is 12%. Amanda Reckonwith, Percival’s financial adviser, recommends that Percival consider investing in an index fund that closely tracks the Standard & Poor’s 500 index. The index has an expected return of 13%, and its standard deviation is 16%. Suppose Percival puts all his money in a combination of the index fund and Treasury bills. Can he thereby improve his expected rate of return without changing the risk of his portfolio? The Treasury bill yield is 4%

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Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
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Chapter13: Investing In Mutual Funds, Etfs, And Real Estate
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Percival Hygiene has $10 million invested in long-term corporate bonds. This bond portfolio’s expected annual rate of return is 12%, and the annual standard deviation is 12%. Amanda Reckonwith, Percival’s financial adviser, recommends that Percival consider investing in an index fund that closely tracks the Standard & Poor’s 500 index. The index has an expected return of 13%, and its standard deviation is 16%.

Suppose Percival puts all his money in a combination of the index fund and Treasury bills. Can he thereby improve his expected rate of return without changing the risk of his portfolio? The Treasury bill yield is 4%.

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