In: Finance
Consider a capital expenditure project that has forecasted revenues equal to $80,000 per year; cash expenses are estimated to be $25,000 per year. The cost of the project equipment is $120,000, and the equipment’s estimated salvage value at the end of the project is $10,000. The equipment’s $120,000 cost will be depreciated on a straight-line basis to $0 over an 8-year estimated economic life. Assume that the project requires an initial $10,000 working capital investment. The company can recover this working capital investment at the end of the project. The company’s marginal tax rate is 35%. Calculate the project’s net present value using a 14% discount rate.
And please can you solve it with calculations than on excel. Thank you
Computation of NPV: | ||
A | Initial Cash Outflow: | |
Purchase of Equipment | $ 120,000 | |
Net Working Capital | $ 10,000 | |
PV of Cash Outflows | $ 130,000 | |
B | Terminal Cash Inflows: | |
a | Sale of Equipment at end of Project | $ 10,000 |
Less: Book Value | $ - | |
Capital Gain | $ 10,000 | |
Less: Tax @ 35% | $ 3,500 | |
Net Cash Inflow on Sale of Equipment | $ 6,500 | |
b | Net Working Capital | $ 10,000 |
c | Termianl Cash Inflow (a+b) | $ 16,500 |
PVF(14%,8 yr) = 1.14^(-8) | 0.3506 | |
PV of Terminal Cash Inflow | $ 5,784 | |
C | Operational Cash flows | |
a. | Forecasted Revenue per Year | $ 80,000 |
b. | Annual Cash Costs | $ 25,000 |
Depreciation per year ($ 120,000/8years) | $ 15,000 | |
Expenses for the year | $ 40,000 | |
c. | Profit before Taxation (a-b) | $ 40,000 |
d. | Less: Tax @ 35% per year | $ 14,000 |
e. | Profit after Taxation (c-d) | $ 26,000 |
Add: Depreciation | $ 15,000 | |
f. | Net Operating Cash Inflows | $ 41,000 |
g. | PVAF(14%, 8 Years) | $ 4.6389 |
h. | Present Value of Operational Cash Inflows (f*g) | $ 190,193 |
D | Computation of NPV | |
a. | Present Value of Operational Cashflows | $ 190,193.42 |
PV of Terminal Cash Inflow | $ 5,784.22 | |
Present Value of Cash Inflows | $ 195,977.64 | |
b. | PV of Cash Outflows | $ 130,000 |
c. | NPV = PV od Cash Inflows - PV of Cash Outflows | $ 65,977.64 |