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23#
发表于 2012-3-24 10:32
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Joe Murad, a U.S. investor, invested in foreign securities. The following data is available:
The return on stock in foreign currency terms was 14%.
The foreign currency depreciated by 5%.
The standard deviation of stock returns was 30%.
The standard deviation of the foreign currency was 10%.
The correlation between the stock return and the currency was 0.30. Murad’s return on his foreign securities investment is:
Use the following formula to compute the return in dollars:R$ = RLC + S + (RLC)(S) R$ = return on the foreign asset in U.S. dollar terms
RLC = return on the foreign asset in local currency terms
S = percentage change in the foreign currency Return = 0.14 + (-0.05) + (0.14) (-0.05) = 8.30%
The risk of the portfolio in U.S. dollar terms as measured by its standard deviation is:
The formula used below considers the risk of the asset in foreign currency terms, the risk of the foreign currency, and the correlation between the two:σ2$ = σ2LC + σ2S + 2σLCσSρLC,S where:
σ2$ = variance of the returns on the foreign asset in U.S. dollar terms
σ2LC, σLC = variance and standard deviation of the foreign asset in local currency terms
σ2S, σS = variance and standard deviation of foreign currency
ρLC,S = correlation between returns for the foreign asset in local currency terms and movements in the foreign currency.
Variance = (0.30)2 + (0.10)2 + 2(0.3)(0.1)(0.3) = 0.118
Standard deviation = √(0.118) = 34.35%
The contribution of currency risk to the risk of the portfolio is closest to:
The contribution of the currency risk is the difference between the asset risk in domestic currency terms less the risk of the foreign asset in foreign currency terms.Contribution of currency risk = σ$ - σLC
Contribution of currency risk = 34.35% - 30.00% = 4.35% |
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