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45. Project A requires an original investment of $54,300. The project will yield

ID: 2430666 • Letter: 4

Question

45. Project A requires an original investment of $54,300. The project will yield cash flows of $15,000 per year for seven years. Project B has a calculated net present value of $3,240 over a four year life. Project A could be sold at the end of four years for a price of $18,300.

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. Enter negative values as negative numbers.
$

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

(Project A/B)

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

Explanation / Answer

a Present value of cash flows 45555.00 =15000*3.037 Present value of salvage value 11638.80 =18300*0.636 Less: Investment cost 54300.00 Net present value 2893.80 b Project B provides the greatest net present value

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