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Present value of $1 Periods 4% 6% 8% 10% 12% 14% 1 0.96154 0.94340 0.92593 0.90909...

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

Solutions

Expert Solution

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

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