In: Accounting
Present value of $1
Periods | 4% | 6% | 8% | 10% | 12% | 14% |
1 | 0.96154 | 0.94340 | 0.92593 | 0.90909 | 0.89286 | 0.87719 |
2 | 0.92456 | 0.89000 | 0.85734 | 0.82645 | 0.79719 | 0.76947 |
3 | 0.88900 | 0.83962 | 0.79383 | 0.75131 | 0.71178 | 0.67497 |
4 | 0.85480 | 0.79209 | 0.73503 | 0.68301 | 0.63552 | 0.59208 |
5 | 0.82193 | 0.74726 | 0.68058 | 0.62092 | 0.56743 | 0.51937 |
6 | 0.79031 | 0.70496 | 0.63017 | 0.56447 | 0.50663 | 0.45559 |
7 | 0.75992 | 0.66506 | 0.58349 | 0.51316 | 0.45235 | 0.39964 |
8 | 0.73069 | 0.62741 | 0.54027 | 0.46651 | 0.40388 | 0.35056 |
9 | 0.70259 | 0.59190 | 0.50025 | 0.42410 | 0.36061 | 0.30751 |
10 | 0.67556 | 0.55839 | 0.46319 | 0.38554 | 0.32197 | 0.26974 |
Present value of an annuity of $1
Periods | 4% | 6% | 8% | 10% | 12% | 14% |
1 | 0.96154 | 0.94340 | 0.92593 | 0.90909 | 0.89286 | 0.87719 |
2 | 1.88609 | 1.83339 | 1.78326 | 1.73554 | 1.69005 | 1.64666 |
3 | 2.77509 | 2.67301 | 2.57710 | 2.48685 | 2.40183 | 2.32163 |
4 | 3.62990 | 3.46511 | 3.31213 | 3.16987 | 3.03735 | 2.91371 |
5 | 4.45182 | 4.21236 | 3.99271 | 3.79079 | 3.60478 | 3.43308 |
6 | 5.24214 | 4.91732 | 4.62288 | 4.35526 | 4.11141 | 3.88867 |
7 | 6.00205 | 5.58238 | 5.20637 | 4.86842 | 4.56376 | 4.28830 |
8 | 6.73274 | 6.20979 | 5.74664 | 5.33493 | 4.96764 | 4.63886 |
9 | 7.43533 | 6.80169 | 6.24689 | 5.75902 | 5.32825 | 4.94637 |
10 | 8.11090 | 7.36009 | 6.71008 | 6.14457 | 5.65022 | 5.21612 |
Jackson Company invests in a new piece of equipment costing
$40,000. The equipment is expected to yield the following amounts
per year for the equipment's four-year useful life:
Cash revenues | $ 60,000 |
Cash expenses | (32,000) |
Depreciation expenses (straight-line) | (10,000) |
Income from equipment | $ 18,000 |
Cost of capital | 14% |
What is the net present value of this investment in equipment?
(Note: Use the discount tables provided and round the NPV to the
nearest dollar.)
a.$81,592
b.$(4,480)
c.$52,452
d.$41,584
Correct answer--------------d.$41,584
Working
Year | Cash revenues (A) | Cash expenses (B) | Net cash inflows (C=A-B) | Discounting factor (D) | Discounted cash flow (E=C x D) |
1 | $ 60,000 | $ 32,000.00 | $ 28,000.00 | 0.87719 | $ 24,561 |
2 | $ 60,000 | $ 32,000.00 | $ 28,000.00 | 0.76947 | $ 21,545 |
3 | $ 60,000 | $ 32,000.00 | $ 28,000.00 | 0.67497 | $ 18,899 |
4 | $ 60,000 | $ 32,000.00 | $ 28,000.00 | 0.59208 | $ 16,578 |
Present value of all cash inflow | $ 81,584 | ||||
Amount to be invested | $ 40,000 | ||||
Net Present value | $ 41,584 |