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Calculate how much a trader, who enters into a 90-day bank bill futures contract on 20 June with a quoted price of $94.00, will need to pay on settlement date (30 June) if the face value of the underlying bill is $500 000. A. $497 289 B. $499 179 C. $492 711 D. $500 000

Question

Calculate how much a trader, who enters into a 90-day bank bill futures contract on 20 June with a quoted price of 94.00,willneedtopayonsettlementdate(30June)ifthefacevalueoftheunderlyingbillis94.00, will need to pay on settlement date (30 June) if the face value of the underlying bill is 500 000. A. 497289B.497 289 B. 499 179 C. 492711D.492 711 D. 500 000

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Solution

The price of a futures contract is calculated as the face value of the underlying asset minus the interest that would be earned on the face value over the term of the contract.

Step 1: Calculate the number of days to maturity. The contract is entered into on 20 June and settles on 30 June, so there are 10 days to maturity.

Step 2: Calculate the annual interest rate. The quoted price of the futures contract is $94.00, which implies an annual interest rate of 100% - 94% = 6%.

Step 3: Calculate the interest for the 10-day period. The interest for the 10-day period is 500,0006500,000 * 6% * (10/365) = 822.60.

Step 4: Subtract the interest from the face value to get the settlement price. The settlement price is 500,000500,000 - 822.60 = $499,177.40.

So, the closest answer is B. $499,179.

This problem has been solved

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