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A project is estimated to cost $248,400 and provide annual cash flows of $50,000

ID: 2471504 • Letter: A

Question

A project is estimated to cost $248,400 and provide annual cash flows of $50,000 for eight years. Determine the internal rate of return for this project, using the following table.

Year

6%

10%

12%

1

.943

.909

.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

6

4.917

4.355

4.111

7

5.582

4.868

4.564

8

6.210

5.335

4.968

9

6.802

5.759

5.328

10

7.360

6.145

5.650

Year

6%

10%

12%

1

.943

.909

.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

6

4.917

4.355

4.111

7

5.582

4.868

4.564

8

6.210

5.335

4.968

9

6.802

5.759

5.328

10

7.360

6.145

5.650

Explanation / Answer

at discount@6%

Cash flows = 50000 each for 8 years

Present value of annuity for 8 years is 6.210

Initial investment 248400

PV for 8 years is (310500)

NPV (62100)

at discount@10%

Present value of annuity for 8 years is 5.335

Initial investment 248400

PV for 8 years is (266750)

NPV (18350)

at discount@12%

Present value of annuity for 8 years is 4.968

Initial investment 248400

PV for 8 year is (248400)

NPV 0

IRR is 12%. IRR means cash inflows equals to cash outflows.

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