In: Finance
Spot exchange rate |
S0,$$ = 1.9055 |
90-day forward rate |
F360,$$ = 2.0055 |
Canadian annual risk-free interest rate |
i$ = 4% |
U.K. annual risk-free interest rate |
i$ = 6% |
You can either use a forward contract or money-market instruments to hedge your £ exposure. Which instrument (forward or money-market) would you choose to hedge your £ exposure? Depending on what you choose, what would be your Canadian $ RECEIVABLE in one year time?
(1) Forward Contract:
Enter into a Forward Contract to SELL GBP 100 Million after 1 year.
Amount Receivable after 1 year = GBP 100 Million*Forward Rate of C$/GBP = 100 Million*2.0055 = C$200.55 Million
(2) Money Market Hedge:
GBP are RECEIVABLE. Therefore, we need to create a liability in GBP.
Borrow GBP and Invest in C$.
STEPS:
Now,
(1) Borrow GBP for 1 year so that, GBP payable after 1 year along with interest will be GBP 100 Million. Therefore, Borrow 100,000,000/[1+(0.06)] = GBP 94339622.6415
(2) Convert GBP into C$ at Spot Rate and Receive 94339622.6415*1.9055 = C$ 179764150.943
(3) Invest C$ 179764150.943 for 1 year.
After 1 year,
(4) Receive GBP 100 Million
(5) Repay the borrowings along with interest. 94339622.6415+6% = GBP 100 Million
(6) Realize the Investments along with interest. 179764150.943+4% = C$ 186954716.98
Amount Receivable = C$ 186,954,716.98 = C$ 186.95 Million
As Forward Contract Option has HIGHER receivable amount, it should be chosen and Receivable will be $200.55 Million