McDougan Associates (U.S.). McDougan Associates, a U.S.-based investment partnership, borrows €85,000,000 at a time when the exchange rate is $1.3395/€. The entire principal is to be repaid in three years, and interest is 6.250% per annum, paid annually in euros. The euro is expected to depreciate vis-à-vis the dollar at 3.3% per annum. What is the effective cost of this loan for McDougan?
Complete the following table to calculate the dollar cost of the euro-denominated debt for years 0 through 3. Enter a positive number for a cash inflow and negative for a cash outflow. (Round the amount to the nearest whole number and the exchange rate to four decimal places.)
Year 0 | Year 1 | Year 2 | Year 3 | |
Proceeds from borrowing euros |
€ 85,000,000 | |||
Interest payment due in euros |
€ | € | € | |
Repayment of principal in year 3 | -85,000,000 | |||
Total cash flow of euro-dominated debt | € | € | € | € |
Expected exchange rate, $/€ |
1.3395 | |||
Dollar equivalent of euro-denominated |
$ | $ | $ | $ |
cash flow |
Answer:
Sample calculation:
Interest payment for each year= 6.25%*85000000=5,312,500
dollar Equivalent of euro denominated for year 0=$1.3395
Depreciation rate =3.3%
dollar Equivalent of euro denominated for year 1=$1.3395/(1-3.3%)=$1.3852
dollar Equivalent of euro denominated for year 1=$1.3852/(1-3.3%)=$1.4325
dollar Equivalent of euro denominated for year 1=$1.4325/(1-3.3%)=$1.4814
Year 0 | Year 1 | Year 2 | Year 3 | |
Proceeds from Borrowing funds | 85,000,000 | |||
Interest Rate due in euros | -5312500 | -5312500 | -5312500 | |
Repayment of principal in year 3 | -85000000 | |||
Total cash flow of euro dominated debt in £ | 85000000 | -5312500 | -5312500 | -90312500 |
Expected Exchange rate, $/£ | 1.3395 | |||
Dollar equivalent of euro denominated in $ | $1.3395 | $1.3852 | $1.4325 | $1.4814 |
Cash flow | $113857500 | -$7358938.728 | -$7610071.073 | -$133786151.2 |
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