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Suppose a US investor purchases a UK equity. Let the expected pound return on the U.K. equity be 20%, and let its volatility (measured by standard deviation) be 30%. The volatility of the dollar/pound exchange rate is 10%. The risk-free rate in the U.S. (denoted rf) is 2%.
Compute the volatility of the dollar return on the U.K. equity when the correlation (denoted as r) between the U.K. equity's return in pounds and changes in the dollar/pound exchange rate is 0.5.
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