Horn Company is evaluating an investment project that has a 6-year life and produces the following cash inflows: Years 1 - 4 ............. $20,000 (each year) Year 5 .................. $30,000 Year 6 .................. ??????? The initial investment for this project is $98,320 and the net present value of this project was calculated to be $5,057 at a cost of capital of 5%. Calculate the amount of the year 6 cash inflow associated with this investment project. Ignore the effects of income taxes.
PERCENTAGES FROM THE MACRS TABLES
MACRS PROPERTY CLASS |
|||||
Year |
3-Year |
5-Year |
7-Year |
||
1 |
33.33% |
20.00% |
14.29% |
||
2 |
44.45% |
32.00% |
24.49% |
||
3 |
14.81% |
19.20% |
17.49% |
||
4 |
7.41% |
11.52% |
12.49% |
||
5 |
----- |
11.52% |
8.93% |
||
6 |
----- |
5.76% |
8.92% |
||
7 |
----- |
----- |
8.93% |
||
8 |
----- |
----- |
4.46% |
Net present value | 5057 | ||||
Add: Initial Investment | 98320 | ||||
Present value of cash inflows | 103377 | ||||
Less: Present value of cashinflows of 5 yrs | |||||
Year | Cashflows | PVF | Present value | ||
1 | 20000 | 0.952381 | 19047.62 | ||
2 | 20000 | 0.907029 | 18140.59 | ||
3 | 20000 | 0.863838 | 17276.75 | ||
4 | 20000 | 0.822702 | 16454.05 | ||
5 | 30000 | 0.783526 | 23505.78 | ||
Present values of cashflows of 5 yrs | 94425 | ||||
Present value ofcashflows of 6th year | 8952 | ||||
Divide: PVF at 5% for 6th year | 0.746215 | ||||
Amount of cashflows of Year-6 | 11996.54 | ||||
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