In: Accounting
Determine the equal , end of period , annual worth of a process which will involve an initial outlay of $80000 followed by costs of $12000 at the end of year1 and amounts increasing by $1200 per year through its 12 year life. Assume that the interest rate is 10% per year.
Year | Outflow $ | PV Factor @10% | Present Value $ | |
0 | 80,000 | 1 | 80,000 | |
1 | 12,000 | 0.90909 | 10,909 | |
2 | 13,200 | 0.82645 | 10,909 | |
3 | 14,400 | 0.75131 | 10,819 | |
4 | 15,600 | 0.68301 | 10,655 | |
5 | 16,800 | 0.62092 | 10,431 | |
6 | 18,000 | 0.56447 | 10,161 | |
7 | 19,200 | 0.51316 | 9,853 | |
8 | 20,400 | 0.46651 | 9,517 | |
9 | 21,600 | 0.42410 | 9,161 | |
10 | 22,800 | 0.38554 | 8,790 | |
11 | 24,000 | 0.35049 | 8,412 | |
12 | 25,200 | 0.31863 | 8,029 | |
Total | 303,200 | 197,646 |
Equivalent Annual Worth | $ 29,007 | (197,646 / 6.81369 ) |