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 500 000. A. 499 179 C. 500 000
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 822.60.
Step 4: Subtract the interest from the face value to get the settlement price. The settlement price is 822.60 = $499,177.40.
So, the closest answer is B. $499,179.
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