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Figure 14-11. Present value of an Annuity of $1 in Arrears Periods 4% 6% 8% 10% 12% 14% 1 0.962 0.943 0.926 0.909 0.893 0.877

Figure 14-11.

Present value of an Annuity of $1 in Arrears

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 4.433
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 14-15

Refer to Figure 14-11. Cleves Company is considering two projects.

Project X Project Y
Initial investment $500,000 $100,000
Annual cash flows $88,500 $34,320
Life of the project 10 years 4 years
Depreciation per year $50,000 $25,000

Cleves requires a minimum rate of return of 8 percent.

Required:

A. What is the accounting rate of return for each project? If required, round your answers to two decimal places.

Project X, ARR %
Project Y, ARR %

B. What is the net present value for each project?

Project X, NPV $
Project Y, NPV $

C. What is the internal rate of return for each project?

Project X, IRR %
Project Y, IRR %

D. Given that only one project can be selected, which project should be chosen?

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