Firefox Company is considering the following investment proposal:
Initial investment: |
Depreciable assets (straight-line) |
$36,000 |
|
Working capital |
4,000 |
Operations (per year for 4 years): |
Cash receipts |
$25,000 |
|
Cash expenditures |
11,000 |
Disinvestment: |
Salvage value of equipment |
$ 3,000 |
|
Recovery of working capital |
4,000 |
Discount rate: |
10 percent |
Additional information for interest rate of 10 percent and four
time periods:
Present value of $1 |
0.68301 |
Present value of an annuity of $1 |
3.16987 |
What is the net present value for the investment?
Select one:
A. $ 4,781
B. $18,322
C. $44,378
D. $ 9,159
Solution :
The Answer is (D). $ 9,159
Working :
NPV = Present Value of Inflows - Net Initial Investent
Cash Flow from Operation per Year = $ 25,000 - $ 11,000
= $ 14,000
(1) Present Value of Cash Flow from Operation = Cumulative PV Factor ( 10% , 4) * Cash Inflow
= 3.16987 * $ 14,000
= $ 44,378
(2) Present Value of Salvage Value = PV Factor ( 10% , 4th Year) * Salvage Value
= 0.68301 * $ 3,000
= $ 2049
(3) Present Value of Recovery of Working Capital = PV Factor ( 10% , 4th Year) * Working Capital
= 0.68301 * $ 4,000
= $ 2,732
Total Present Value = $ 44,378 + $ 2,049 + 2,732
= $ 49,159
Net Present Value = Present Value of All Cash Flow - Initial Investment
= $ 49,159 - $ 36,000 - $ 4,000
NPV = $ 9,159
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