In: Economics
A project firm is considering for implementation has these estimated cost and reveneus: an investment cost of $50,008, mantainance cost starts at $5,000 at the end of year(FOY) one and increase by $1,000 for the next four years, and then remains constant for the following five years: savings of $24,105 per year(EOY 1-10) and finally a resale value of $27,215 at EOY 10. If the project has a 10 year life and the firm's MARR is 10% per year, What is the present worth of the project?
Solution:-
Net benefit table:
Years |
Saving(X) |
Maintenance cost(Y) |
Net Benefit (X-Y) |
1 |
24105 |
5000 |
19105 |
2 |
24105 |
6000 |
18105 |
3 |
24105 |
7000 |
17105 |
4 |
24105 |
8000 |
16105 |
5 |
24105 |
9000 |
15105 |
6 |
24105 |
9000 |
15105 |
7 |
24105 |
9000 |
15105 |
8 |
24105 |
9000 |
15105 |
9 |
24105 |
9000 |
15105 |
10 |
24105 |
9000 |
15105 |
Initial Investment = -50008
Final Year Cash Flow = 15105 + 27215
= 42,320
Present worth = -50008+19105/(1+.10)^1+18105/(1+.10)^2+17105/(1+.10)^3+16105/(1+.10)^4+15105/(1+.10)^5+15105/(1+.10)^6+15105/(1+.10)^7+15105/(1+.10)^8+15105/(1+.10)^9+15105/(1+.10)^10
= -50008+17368.18+14962.81+12851.24+10999.93+9379.02+8526.38+7751.25+7046.594+6405.9945+5823.63
= -50008+101115.0285
= 51107.03
Hence, Present worth of the project is $51107.03