Given: interest rates are 6% in the U.S. and 15% in the U.K. The spot exchange rate for British pounds is 1.27 $/£ and the 1-year forward rate is F1 - yr = 1.19 $/£. You wish to borrow dollars. a. How can you effectively (synthetically) borrow $100,000 for one year without using the U.S. money market? (List each transaction you would make including the amounts of each currency involved. You may use either continuous compounding or discrete compounding as long as you show your calculations.) b. What is the implied interest rate on your synthetic loan? c. Should you borrow directly or synthetically, and why? d. How could an arbitrageur make a risk-free profit?
Given: interest rates are 6% in the U.S. and 15% in the U.K. The spot exchange rate for British pounds is 1.27 $/£ and the 1-year forward rate is F1 - yr = 1.19 $/£. You wish to borrow dollars. a. How can you effectively (synthetically) borrow $100,000 for one year without using the U.S. money market? (List each transaction you would make including the amounts of each currency involved. You may use either continuous compounding or discrete compounding as long as you show your calculations.) b. What is the implied interest rate on your synthetic loan? c. Should you borrow directly or synthetically, and why? d. How could an arbitrageur make a risk-free profit?
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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
Transcribed Image Text:Given: interest rates are 6% in the U.S. and 15% in the U.K. The spot exchange rate for British pounds is 1.27 $/£ and the 1-year forward rate is F1 - yr = 1.19 $/£. You wish to borrow dollars.
a. How can you effectively (synthetically) borrow $100,000 for one year without using the U.S. money market? (List each transaction you would make including the amounts of each currency involved. You
may use either continuous compounding or discrete compounding as long as you show your calculations.)
b. What is the implied interest rate on your synthetic loan?
c. Should you borrow directly or synthetically, and why?
d. How could an arbitrageur make a risk-free profit?
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