An American firm is considering a new project in the country of Gleeblaistan. This new project will produce the following cash flows measured in BLAs, the currency of Gleeblaistan, which are expected to be repatriated to the parent company in the U.S.
|
Year |
Cash Flow (in millions of BLA) |
|
0 |
-20 |
|
1 |
8 |
|
2 |
8 |
|
3 |
7 |
|
4 |
5 |
The current spot rate is 0.90BLA/$ and the risk free rates in the two countries are shown below:
|
1 year |
2 years |
3 years |
4 years |
|
|
U. S. interest rate |
3.5 |
3.5 |
3.6 |
3.7 |
|
Gleeblaistan interest rate |
6.9 |
6.7 |
6.4 |
6.2 |
Assume that the American firm is borrowing in the U.S. at rate of 8%. What is the project’s NPV in U.S. dollars?
| Current rate | = | 0.9 | BLA/$ | |||||
| Forex rates calculation | (d)=Ex rate in last year*{1+(b)}/{1+©} | |||||||
| (a) | (b) | (.c) | ||||||
| Year | Interest rate (US) | Interest rate (gleeblaistan) | Exchange rate (BLA/$) | |||||
| 1 | 0.035 | 0.069 | 0.9296 | |||||
| 2 | 0.035 | 0.067 | 0.9583 | |||||
| 3 | 0.036 | 0.064 | 0.9842 | |||||
| 4 | 0.037 | 0.062 | 1.0079 | |||||
| Calculation of PV of NPV | ||||||||
| Year | Cashflow (BAL) | Exchange rate | Cashflow (USD) | PVF @ 8% | Discounted CF | |||
| 0 | -20 | 0.9 | -22.2222 | 1 | -22.2222 | |||
| 1 | 8 | 0.9296 | 8.6062 | $0.93 | 7.9687 | |||
| 2 | 8 | 0.9583 | 8.3481 | $0.86 | 7.1571 | |||
| 3 | 7 | 0.9842 | 7.1123 | $0.79 | 5.6460 | |||
| 4 | 5 | 1.0079 | 4.9606 | $0.74 | 3.6462 | |||
| Total | 2.1958 | |||||||
| NPV | = | Sum of all discounted cashflows | ||||||
| = | $2.1958 miliions | |||||||
| Note | ||||||||
| Please upvote if you likethe answer | ||||||||
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