Questions from Business Statistics


Q: A company enters into a short futures contract to sell 5,

A company enters into a short futures contract to sell 5,000 bushels of wheat for 750 cents per bushel. The initial margin is $3,000 and the maintenance margin is $2,000. What price change would lead...

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Q: What position is equivalent to a long forward contract to buy an

What position is equivalent to a long forward contract to buy an asset at K on a certain date and a put option to sell it for K on that date.

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Q: A company has derivatives transactions with Banks A, B, and

A company has derivatives transactions with Banks A, B, and C that are worth + $20 million, ─ $15 million, and ─ $25 million, respectively, to the company. How much margin or collateral does the com...

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Q: A company wishes to hedge its exposure to a new fuel whose

A company wishes to hedge its exposure to a new fuel whose price changes have a 0.6 correlation with gasoline futures price changes. The company will lose $1 million for each 1 cent increase in the pr...

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Q: A portfolio manager has maintained an actively managed portfolio with a beta

A portfolio manager has maintained an actively managed portfolio with a beta of 0.2. During the last year, the risk-free rate was 5% and equities performed very badly providing a return of 30%. The po...

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Q: The following table gives data on monthly changes in the spot price

The following table gives data on monthly changes in the spot price and the futures price for a certain commodity. Use the data to calculate a minimum variance hedge ratio. (Do not make an adjustment...

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Q: A company’s cash position, measured in millions of dollars, follows

A company’s cash position, measured in millions of dollars, follows a generalized Wiener process with a drift rate of 0.5 per quarter and a variance rate of 4.0 per quarter. How high does the company’...

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Q: Variables X1 and X2 follow generalized Wiener processes, with drift rates

Variables X1 and X2 follow generalized Wiener processes, with drift rates and  and variances  and . What process does X1 +X2 follow if : (a) The changes in X1 and X2 in any short interval of time...

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Q: The one-day 99% VaR is calculated for the four

The one-day 99% VaR is calculated for the four-index example in Section 22.2 as $253,385. Look at the underlying spreadsheets on the author’s website and calculate: (a) the one-day 95% VaR, (b) the on...

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Q: Consider a variable S that follows the process  For

Consider a variable S that follows the process  For the first three years,and ; for the next three years, and . If the initial value of the variable is 5, what is the probability distribution of...

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