Lunar Inc. is considering the purchase of a machine for $500,000 which will last 5 years. A financial analysis is being developed using the following information.
| |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |
| |
|
|
|
|
|
| Unit Sales |
10000 |
10000 |
20000 |
20000 |
20000 |
| |
|
|
|
|
|
| Selling price/ unit |
100 |
100 |
100 |
100 |
100 |
| Variable cost/unit |
65 |
65 |
65 |
65 |
65 |
| Fixed cost |
300000 |
300000 |
300000 |
300000 |
300000 |
| Pre-tax cash flow |
50000 |
50000 |
400000 |
400000 |
400000 |

The machine will be depreciated over 5 years on a straight-line basis for tax purposes and Lunar is subject to a 40% effective income tax rate. Assuming Lunar will have significant taxable income from other lines of business, and using a 20% discount rate, the net present value of the project would be
a. $(282,470).
b. $(103,070).
c. $(14,010).
d. $16,530.
Correct answr is : D. 16530

My answer :
Yearly cash flows for 1-2 and 3-5 years are:
| |
Yrs |
Yrs |
| |
1-2 |
3-5 |
| Yrly cash flow |
50 |
400 |
| Less : Dep |
-100 |
-100 |
| |
-50 |
300 |
| Less : Tax@ 40% |
-20 |
-120 |
| |
-70 |
180 |
| Add: Dep |
100 |
100 |
| |
30 |
280 |

After discounting at 20% above cash inflows for 1-2 , 3-5 years considering initial investment of 500 K , I get answer of 44563.
Where am I going wrong?