In: Finance
Part i) Assume USD 20million borrowed @5% for 1year
Convert USD into cedi by using spot exchange rate (1USD=cedi5.8) USD 20million*5.8 = cedi 116million
Repayment of loan with interest = Loan amount*(1+USD interest rate) = USD 20million*(1+0.05) = USD 21million
Amount to be paid in cedi after 1year = Repayment of loan with interest in USD*forcasted exchange rate = USD 21million*6.45 = cedi 135.45million
Effective annual financing cost of the USD loan = (Amount to be paid in cedi-Loan amount in cedi)/Loan amount in cedi = (135.45million - 116million)/116million = 19.45million/116million = 16.77%
For Lois it is prudent to borrow USD at this stage because its effective annual financing cost is less than cedi interest rate.
Gain if Lois decided to borrow in USD = (cedi lending rate-Effective annual financing cost of the USD loan)*Loan amount in cedi = (17.5%-16.77%)*116million = cedi 846,800
Part ii)
If Interest rate parity theory (IRPT) holds good then exchange rate risk will exactly offset by interest rate.
Effective annual interest rate in this case is 17.5% because the IRPT takes existing interest rate to calculate forward exchange rate. In IRPT, would not exist arbitrage opportunites.