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6.You are the treasury manager of a bank and you know that the bank will need to borrow.$15 million for 3 months in two months time.Interest rates are currently 6.8% and the current quoted price for bank accepted bills futures contracts expiring in 3 months is 92.4.(Assume 30 days each month,365 days in a year,and futures contracts have a standard $1 million face value) (a)Today,what position would you take in the futures market to hedge this risk? Enter"1"for buy/long futures contracts or "2" for sell/short futures contracts (b)After two months,interest rates fall to 6.55% and the quoted price for bank-accepted bills futures contracts is 92.9. What is the profit or loss on the futures market?(for a loss enter a negative number) $ (round your answer to two decimal places) What is the profit or loss on the physical market?(for a loss enter a negative number) $ (round your answer to two decimal places) (c)Was this a perfect hedge? Enter"1"for yes and "2"for no

Question

6.You are the treasury manager of a bank and you know that the bank will need to borrow.15millionfor3monthsintwomonthstime.Interestratesarecurrently6.815 million for 3 months in two months time.Interest rates are currently 6.8% and the current quoted price for bank accepted bills futures contracts expiring in 3 months is 92.4.(Assume 30 days each month,365 days in a year,and futures contracts have a standard 1 million face value) (a)Today,what position would you take in the futures market to hedge this risk? Enter"1"for buy/long futures contracts or "2" for sell/short futures contracts

(b)After two months,interest rates fall to 6.55% and the quoted price for bank-accepted bills futures contracts is 92.9.

What is the profit or loss on the futures market?(for a loss enter a negative number) $ (round your answer to two decimal places)

What is the profit or loss on the physical market?(for a loss enter a negative number) $ (round your answer to two decimal places)

(c)Was this a perfect hedge? Enter"1"for yes and "2"for no

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Solution

(a) To hedge the risk of rising interest rates, you would want to take a long position in the futures market. This means you would enter "1" for buy/long futures contracts.

(b) To calculate the profit or loss on the futures market, you need to find the difference between the initial and final futures prices, and then multiply by the number of contracts and the face value of each contract.

Initial futures price = 100 - 6.8 = 93.2 Final futures price = 100 - 6.55 = 93.45 Difference = 93.45 - 93.2 = 0.25

Number of contracts = 15million/15 million / 1 million = 15 contracts

Profit = 0.25 * 15 * 1million=1 million = 3,750

For the physical market, the profit or loss is the difference between the initial and final interest rates, multiplied by the amount borrowed and the time period.

Initial interest rate = 6.8% Final interest rate = 6.55% Difference = 6.8% - 6.55% = 0.25%

Loss = 0.25% * 15million(3/12)=15 million * (3/12) = -3,125

(c) This was not a perfect hedge, as the profit on the futures market did not exactly offset the loss on the physical market. Therefore, you would enter "2" for no.

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