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Consider a position consisting of a $300,000 investment in gold and a $500,000 investment in silver. Suppose that the daily volatilities of these two assets

Consider a position consisting of a $300,000 investment in gold and a $500,000 investment in silver. Suppose that the daily volatilities of these two assets are 1.8% and 1.2%, respectively, and that the coefficient of correlation between their returns is 0.6. What is the 10-day 97.5% VaR and ES for the portfolio? By how much does diversification reduce the VaR and ES?

Suppose in the period that you did the question above the price of 1 unit of gold and 1 unit of silver where 1250$ and 350$. The next day the prices become $1240 and $354.Calculate the 1-day 99.9% VaR and ES for the portfolio.

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