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Consider the following portfolio of stocks and options: - $5 million invested in Stock A at stock price of $20 per share - $3 million

Consider the following portfolio of stocks and options:

- $5 million invested in Stock A at stock price of $20 per share

- $3 million invested in Stock B at stock price of $50 per share

- Options on Stock A with a total delta of 8,000

- Options on Stock B with a total delta of +4,000

The standard deviations for daily returns on Stocks A and B are 0.012 and 0.0065, respectively. The correlation coefficient of daily returns on the two stocks is 0.45.

a) Calculate the five-day, 99% VaR for the portfolio.

b) If the average daily returns on Stocks A and B are 0.00067 and 0.00015, respectively, what is the five-day, 99% ES for the portfolio?

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