In: Economics
Spot rate of EURTL is 7 and TL is expected by depreciate by 5% each year in the next 5 years.
Eurobike requires a 20% return from the project.
We will analyze this using PW method
PW = Cash Flow / (1+Discount Rate)^Duration
PW of initial investment = -2 million Euro
a) Now we will have to convert Turkish Lira into Euro using
given exchange rate
1st year
5000000 / 7 = 714285.71 Euro
714285.71 / (1.20) = 595238.10
2nd year
The Turkish Lira depreciated by 5%
7 * 1.05 = 7.35
5000000 / 7.35 = 680272.11
680272.11 / (1.20 ^ 2) = 472411.19
We will create a table for all the values
Year | Turkish Lira | Exchange Rate | Euro | PW @ 20% |
0 | -2000000.00 | -2000000.00 | ||
1 | 5000000 | 7.0000 | 714285.71 | 595238.10 |
2 | 5000000 | 7.3500 | 680272.11 | 472411.19 |
3 | 9000000 | 7.7175 | 1166180.76 | 674873.12 |
4 | 15000000 | 8.1034 | 1851080.57 | 892689.32 |
5 | 10000000 | 8.5085 | 1175289.25 | 472322.39 |
Salvage Value | 500000.00 | 200938.79 | ||
NPW | 1308472.90 |
The net present worth of the discounted cash flow is positive so the project is acceptable.
b) Now the cash flow is less than the expectations so we will again calculate the values.
Year | Turkish Lira | Exchange Rate | Euro | PW @ 20% |
0 | -2000000.00 | -2000000.00 | ||
1 | 1000000 | 7.0000 | 142857.14 | 119047.62 |
2 | 1000000 | 7.3500 | 136054.42 | 94482.24 |
3 | 1100000 | 7.7175 | 142533.20 | 82484.49 |
4 | 1210000 | 8.1034 | 149320.50 | 72010.27 |
5 | 1331000 | 8.5085 | 156431.00 | 62866.11 |
Salvage Value | 500000.00 | 200938.79 | ||
NPW | -1368170.48 |
PW after 3 years = -1703985.65
PW of salvage value = 500000 / (1.20^3) = 289351.85
NPW = -1414633.80
The net present worth in the case of unexpected decrease in cash
flow is negative.
The Eurobike should accept the offer of Euro 1 million as it will
reduce its losses.