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variance of active risk vs. variance of currency risk and foreign return

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Variance of active risk = std. deviation of alternative 1^2 + std. deviation of alternative 2 ^2 + 2*weighting alternative 1*weighting alternative 2* correlation* std. deviation of alternative 1*std. deviation of alternative 2, assuming the correlation is ZERO.

Variance of currency risk and foreign return = std. deviation of currency risk^2 + std. deviation of foreign return ^2 + 2*weighting currency * weighting foreign return * correlation, assuming both weighting is ONE.

Am I right?


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