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.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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2. Suppose that the term structure of 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 and 20 million AUD. Payments are exchanges 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 rate are continuously compounded.
The current exchange rate is 0.8000 Swiss francs per dollar. A5-year U.S. government bond has a 3% yield, and a 5-year Swissgovernment bond has a yield of 2%. What is the expected 5-yearforward rate? (0.7619 Swiss francs per dollar) (Hint: Rememberthat the interest rate parity equation is for direct quotes.)
The US 1 year spot rate is 3.61% and the Mexican 1 year spot rate is 7.44%. A US investor purchases a Mexican corporate bond with an expected 1 year return of 9.76%, as measured in Mexican peso. The current USD/MXP exchange rate is 0.18. If the investor decides to hedge the currency risk exposure in the forward market, what would be the expected return on this portfolio, if interest rate parity holds?
You are given that the annual Australian dollar interest rate is 1% and the United States annual interest rate is 2.5%. The spot rate for the United States dollar is $A1.20. (a) Using interest rate parity, calculate the forward rate premium of the United States dollar with respect to the Australian dollar. (b) Using your answer to (a), calculate the one-year forward rate.
The 1 year (lending or borrowing) rate in the UK is 8%; the 1 year (lending or borrowing) rate in the United States is 5%. Currently the spot exchange rate if $1.81 per British pound; the 1 year forward rate is $1.79 per British pound. If you are able to borrow $1,000,000 in the US to lend (as British pounds) in the UK, how much a risk free profit can you create over the next year? Give typing answer with explanation and conclusion
The six-month interest rate of Austrilian dollar is 9 percent while the six-month interest rate for US dollar is 6.75 percent. At the same time, the spot Austrilian dollar quotation in New York is US$0.9100 and the six-month forward rate is US$0.9025. Analyse the information provided above to answer the following questions: i) Critically evaluate whether there is interest rate parity in this situation. Provide relevant calculations to support your answer. ii) Critically discuss whether, and how, it might be possible to make a profit in this situation
Analyse the scenario below. In each case, explain your reasoning Suppose that the current EUR/GBP exchange rate is £0.92 per euro. The current2-year interest rates are: GBP 4%, EUR 5%. Suppose further that you can use a 2-year forward contract with a EUR/GBP rate of £0.91 per euro. Could this contractbe used for an arbitrage opportunity? If yes, provide an example. Calculatearbitrage profit and explain how this profit can be earned
In a fixed-for-fixed currency swap, 1.1% on a US dollar principal of $127 million is received and 1.7% on a British pound principal of 156 million pounds is paid. The current exchange rate is 1.7 dollar per pound. Interest rates in both countries for all maturities arecurrently 5.9% (continuously compounded. Payments are exchanged every year. The swap has 2.5 years left in its life. What is the value of the swap to the US dollar receiver, in millions of dollars?
Assume the spot rate between the uk and the US is .€ .6789= $1 while the one year Foward rate is €.6782=$1. The risk free rate in the UK is 3.1 percent. The risk free rate in the U.S is 2.9 percent. How much profit can you earn for the year on a loan of $1,500 by utilizing covered interest abitrage?
Assume interest rate parity (IRP). The nominal one-year rate in the USA will be 15%, and in Australia it will be 11% for one year. The Australian dollar (AUD) SPOT exchange rate is 0.45 USD/AUD. AUD 15 million will be required in one year. A one-year Australian dollar (AUD) forward contract is purchased today. How many US dollars (USD) will be used in one year to fulfill your forward contract?The alternatives area. Premium of 3.603604%, FWD exchange rate 0.466216216 AUD/USD and $6,993,243.24 USD to be needed.b. Premium of 3.603604%, FWD exchange rate 0.466216216 USD/AUD and $6,993,243.24 to be required. c. Discount of 3.478261%, FWD exchange rate 0.434347826 AUD/USD and $6,515,217.39 to be required.d. Discount of 3.478261%, FWD exchange rate 0.434347826 USD/AUD and $6,515,217.39 to be required.
Assume that interest rate parity holds and that 90-day risk-free securities yield 3% in the United States and 3.3% in Germany. In the spot market, 1 euro equals $1.50. What is the 90-day forward rate?
Assume the following information regarding U.S. and European annualized interest rates: Currency U.S. Dollar ($) 4.5% Investment Rate Borrowing Rate 5.5% Euro (€) 5.1% 6.3% Golden R Inc. can borrow either $6 million or €5 million. The current spot rate of the euro is $1.02. Furthermore, Golden R Inc. expects the spot rate of the euro to be $1.35 in 60 days. What is Golden R. Inc.'s dollar profit from speculating if the spot rate of the euro is indeed $1.35 in 60 days? Your answer should be whole US dollars. No decimals.

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