With correlation of 0.3, what is the covariance between the 3-year returns? Greta, an elderly investor, has

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With correlation of 0.3, what is the covariance between the 3-year returns?

Greta, an elderly investor, has a degree of risk aversion of A = 3 when applied to return on wealth over a 3-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 3-year strategies. (All rates are annual, continuously compounded.) The S&P 500 risk premium is estimated at 5% per year, with a SD of 20%. The hedge fund risk premium is estimated at 10% with a SD of 35%. The return on each of these portfolios in any year is uncorrelated with its return or the return of any other portfolio in any other year. The hedge fund management claims the correlation coefficient between the annual returns on the S&P 500 and the hedge fund in the same year is zero, but Greta believes this is far from certain.

Portfolio
A portfolio is a grouping of financial assets such as stocks, bonds, commodities, currencies and cash equivalents, as well as their fund counterparts, including mutual, exchange-traded and closed funds. A portfolio can also consist of non-publicly...
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Investments

ISBN: 978-0077861674

10th edition

Authors: Zvi Bodie, Alex Kane, Alan J. Marcus

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