Statistics for investing. Joes retirement plan invests in stocks through anindex

Chapter 0, Problem 7.31

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Statistics for investing. Joes retirement plan invests in stocks through anindex fundthat follows the behavior of the stock market as a whole, as measuredby the S&P 500 stock index. Joe wants to buy a mutual fund that does not trackthe index closely. He reads that monthly returns from Fidelity Technology Fundhave correlation r = 0.77 with the S&P 500 index and that Fidelity Real EstateFund has correlation r = 0.37 with the index.(a) Which of these funds has the closer relationship to returns from the stockmarket as a whole? How do you know? (b) Does the information given tell Joe anything about which fund has hadhigher returns?

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