Question

16. Below is a table for the present value of $1 at Compound interest.

Year	6%	10%	12%
1	0.943	0.909	0.893
2	0.890	0.826	0.797
3	0.840	0.751	0.712
4	0.792	0.683	0.636
5	0.747	0.621	0.567

Below is a table for the present value of an annuity of $1 at compound interest.

Year	6%	10%	12%
1	0.943	0.909	0.893
2	1.833	1.736	1.690
3	2.673	2.487	2.402
4	3.465	3.170	3.037
5	4.212	3.791	3.605

Using the tables above, what would be the present value of $12,499 (rounded to the nearest dollar) to be received 4 years from today, assuming an earnings rate of 10%?

a.$9,899

b.$8,537

c.$12,499

d.$39,622

17. Project A requires an original investment of $49,400. The project will yield cash flows of $13,400 per year for seven years. Project B has a calculated net present value of $2,730 over a four year life. Project A could be sold at the end of four years for a price of $17,700.

Below is a table for the present value of $1 at Compound interest.

Year	6%	10%	12%
1	0.943	0.909	0.893
2	0.890	0.826	0.797
3	0.840	0.751	0.712
4	0.792	0.683	0.636
5	0.747	0.621	0.567

Below is a table for the present value of an annuity of $1 at compound interest.

Year	6%	10%	12%
1	0.943	0.909	0.893
2	1.833	1.736	1.690
3	2.673	2.487	2.402
4	3.465	3.170	3.037
5	4.212	3.791	3.605

(a) Using the present value tables above, determine the net present value of Project A over a four-year life with salvage value assuming a minimum rate of return of 12%. Round your answer to two decimal places.
$

(b) Which project provides the greatest net present value?

20. The management of Arkansas Corporation is considering the purchase of a new machine costing $490,000. The company's desired rate of return is 10%. The present value factors for $1 at compound interest of 10% for 1 through 5 years are 0.909, 0.826, 0.751, 0.683, and 0.621, respectively. In addition to the foregoing information, use the following data in determining the acceptability of this investment:

Year	Income from Operations		Net Cash Flow
1	$100,000		$180,000
2	40,000		120,000
3	40,000		100,000
4	10,000		90,000
5	10,000		120,000

The net present value for this investment is

a.$(16,170)

b.$55,200

c.$(126,800)

d.$36,400

21. The management of Wyoming Corporation is considering the purchase of a new machine costing $375,000. The company's desired rate of return is 6%. The present value factor for an annuity of $1 at interest of 6% for 5 years is 4.212. In addition to the foregoing information, use the following data in determining the acceptability of this investment:

Year	Income from Operations		Net Cash Flow
1	$18,750		$93,750
2	18,750		93,750
3	18,750		93,750
4	18,750		93,750
5	18,750		93,750

The present value index for this investment is

a.1.25

b.1.05

c.0.95

d.1.00

Answer 1