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Consider two asset classes: Stocks and Bonds. You estimate the following parameters for these two asset class funds. correlation matrix b/n Stocks and Bonds E(r)

Consider two asset classes: Stocks and Bonds. You estimate the following parameters for these two asset class funds.

correlation matrix b/n Stocks and Bonds
E(r) sd(r) Stocks Bonds
Stocks 17% 40% 1 0.4
Bonds 8% 11% 0.4 1

Consider a $100,000 portfolio consisting of $80,000 in Stocks and $20,000 in Bonds. So, the portfolio is 80% in Stocks and 20% in Bonds. Given the standard deviation of the portfolio return is 32.94%, what is the lower limit on the portfolio value in a year if we use a 95% probability level (note: the loss at the lower limit is known as the 2.5% value-at-risk)?

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