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A company has an investment portfolio consisting of $20 4-month futures contracts, each with a market value of $10.5; and 6-month forward contracts for a value of $95. The volatility of future contracts is unknown, but it is known that in the market the volatility of 3-month futures is 1% and that of 6-month futures is 1.5%. The volatility of forward contracts is similar to that of futures at the same term. The correlation coefficient between futures and forwards in the portfolio is 80%.
Calculate by linear interpolation what is the volatility of 4-month futures.
What is the undiversified VaR at the 99% confidence level over a 10-day horizon?
What is the diversified VaR at a 99% confidence level over a 10-day horizon?
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