Question

Suppose that the term structure of risk-free interest rates is flat in the United States and Australia. The USD interest rate is $7 \%$ per annum and the AUD rate is $9 \%$ per annum. The current value of the AUD is 0.62 USD. Under the terms of a swap agreement, a financial institution pays $8 \%$ per annum in AUD and receives $4 \%$ per annum in USD. The principals in the two currencies are $$\$ 12$$ million USD and 20 million AUD. Payments are exchanged every year, with one exchange having just taken place. The swap will last two more years. What is the value of the swap to the financial institution? Assume all interest rates are continuously compounded.

   Suppose that the term structure of risk-free interest rates is flat in the United States and Australia. The USD interest rate is $7 \%$ per annum and the AUD rate is $9 \%$ per annum. The current value of the AUD is 0.62 USD. Under the terms of a swap agreement, a financial institution pays $8 \%$ per annum in AUD and receives $4 \%$ per annum in USD. The principals in the two currencies are $$\$ 12$$ million USD and 20 million AUD. Payments are exchanged every year, with one exchange having just taken place. The swap will last two more years. What is the value of the swap to the financial institution? Assume all interest rates are continuously compounded. 
 
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Options, Futures, and Other Derivatives
Options, Futures, and Other Derivatives
John C. Hull 10th Edition
Chapter 7, Problem 25 ↓

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The principal in AUD is 20 million AUD, and the annual interest rate received is 4%. Therefore, the annual payment in AUD is: Annual payment in AUD = Principal in AUD * Annual interest rate in AUD = 20 million AUD * 4% = 0.8 million AUD  Show more…

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Suppose that the term structure of risk-free interest rates is flat in the United States and Australia. The USD interest rate is $7 \%$ per annum and the AUD rate is $9 \%$ per annum. The current value of the AUD is 0.62 USD. Under the terms of a swap agreement, a financial institution pays $8 \%$ per annum in AUD and receives $4 \%$ per annum in USD. The principals in the two currencies are $$\$ 12$$ million USD and 20 million AUD. Payments are exchanged every year, with one exchange having just taken place. The swap will last two more years. What is the value of the swap to the financial institution? Assume all interest rates are continuously compounded.
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