The 1-year risk-free interest rate of investments in US dollars is rUSD=1.22%. The 1-year risk-...

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The 1-year risk-free interest rate of investments in US dollars is rUSD=1.22%. The 1-year risk-
free interest rate of investments in Canadian dollars is rCAD=4.0%. The current (spot) exchange
rate between the two currencies is 1.41 : the price of 1 USD is 1.41 CAD. The 1-year forward price
of 1 USD is 1.41 CAD. You can trade in 1-year risk-free discount bonds denominated in both US and
Canadian dollars in the forward contract to buy 1 USD 1 year from now, and in the spot foreign
exchange market, where you can buy and sell USD.
Consider the following strategy:
Borrow x USD at 1.22% today, which means that the total loan repayment obligation after a
year would be (1+1.22%)x USD.
Convert y USD into CAD at the spot rate of 1.41.
Lock in the 4.0% rate on the deposit amount of 1.41y CAD, and simultaneously enter into a
forward contract that converts the full maturity amount of the deposit into USD at the one-
year forward rate of USD =1.41 CAD.
After one year, settle the forward contract at the contracted rate of 1.41. Suppose the
above arbitrage strategy generates 100 USD today and nothing otherwise, please solve for
x and y.
x=
y=
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