
Explanation:
The correct answer is C.
To find the dollar volatility of the portfolio, we use the formula:
Dollar volatility =
X' \Sigma x = \begin{bmatrix} \`2.5 & \1` \end{bmatrix} \begin{bmatrix} 0.009 \\ 0.01 \end{bmatrix} = \`0.03`25 \text{ million}$
Dollar volatility = \sqrt{0.0325} = \`0.18`03 \text{ million}$
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Q.4711 Consider an investment company portfolio made up of two foreign currencies, the Japanese Yen (JPY) and the Euro (EUR). Assume that the currencies are uncorrelated and that their volatilities are are 6% and 10%, respectively. The portfolio has US$2.5 million invested in the JPY and US$1 million invested in EUR. Calculate the dollar volatility of the portfolio.
A
$0.0325 million
B
$0.4750 million
C
$0.1803 million
D
$0.009 million