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Figure 14-10. Present value of $1 Periods 4% 6% 8% 10% 12% 14% 1 0.962 0.943 0.926 0.909 0.893 0.877 2 0.925 0.890 0.857 0.826

Figure 14-10.

Present value of $1

Periods 4% 6% 8% 10% 12% 14%
1 0.962 0.943 0.926 0.909 0.893 0.877
2 0.925 0.890 0.857 0.826 0.797 0.769
3 0.889 0.840 0.794 0.751 0.712 0.675
4 0.855 0.792 0.735 0.683 0.636 0.592
5 0.822 0.747 0.681 0.621 0.567 0.519
6 0.790 0.705 0.630 0.564 0.507 0.456
7 0.760 0.665 0.583 0.513 0.452 0.400
8 0.731 0.627 0.540 0.467 0.404 0.351
9 0.703 0.592 0.500 0.424 0.361 0.308
10 0.676 0.558 0.463 0.386 0.322 0.270

Present value of an Annuity of $1

Periods 4% 6% 8% 10% 12% 14%
1 0.962 0.943 0.926 0.909 0.893 0.877
2 1.886 1.833 1.783 1.736 1.690 1.647
3 2.775 2.673 2.577 2.487 2.402 2.322
4 3.630 3.465 3.312 3.170 3.037 2.914
5 4.452 4.212 3.993 3.791 3.605 3.433
6 5.242 4.917 4.623 4.355 4.111 3.889
7 6.002 5.582 5.206 4.868 4.564 4.288
8 6.733 6.210 5.747 5.335 4.968 4.639
9 7.435 6.802 6.247 5.759 5.328 4.946
10 8.111 7.360 6.710 6.145 5.650 5.216

Problem 14-12

Refer to Figure 14-10. Ray Corporation is looking to invest in a new piece of equipment. Two manufacturers of this type of equipment are being considered. After-tax inflows for the two competing projects are:

Year Fallon Equipment Inc. Toller Equipment Inc.
1 275,000 70,000
2 225,000 70,000
3 185,000 285,000
4 140,000 330,000
5 65,000 390,000

Both projects require an initial investment of $400,000. In both cases, assume that the equipment has a life of five years with no salvage value.

Required:

A. Assuming a discount rate of 8 percent, compute the net present value of each piece of equipment.

Net Present Value
Fallon Equipment $
Toller Equipment Inc. $

B. A third option is now available for a supplier outside of the country. The cost is also $400,000, but it will produce even cash flows over its five-year life. What must the annual cash flow be for this equipment to be selected over the other two? Assume an 8 percent discount rate. $

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