You have invested ($ 100,000) in asset (A_{1}) and ($ 250,000) in asset (A_{2}). The annual returns

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You have invested \(\$ 100,000\) in asset \(A_{1}\) and \(\$ 250,000\) in asset \(A_{2}\). The annual returns are represented by a single-index model with parameters


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The annual return of the market portfolio has expected return \(7 \%\) and standard deviation \(37 \%\). The volatilities of the specific risks are \(22 \%\) and \(31 \%\), respectively, on an annual basis. Assuming that the risk factors are normally distributed, find the annual and the daily value-at-risks, with confidence level \(99 \%\).

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