Question

In: Accounting

Internal Rate of Return Method for a Service Company The Riverton Company, a ski resort, recently...

Internal Rate of Return Method for a Service Company

The Riverton Company, a ski resort, recently announced a $368,830 expansion to lodging properties, lifts, and terrain. Assume that this investment is estimated to produce $110,000 in equal annual cash flows for each of the first five years of the project life.

Present Value of an Annuity of $1 at Compound Interest
Year 6% 10% 12% 15% 20%
1 0.943 0.909 0.893 0.870 0.833
2 1.833 1.736 1.690 1.626 1.528
3 2.673 2.487 2.402 2.283 2.106
4 3.465 3.170 3.037 2.855 2.589
5 4.212 3.791 3.605 3.353 2.991
6 4.917 4.355 4.111 3.785 3.326
7 5.582 4.868 4.564 4.160 3.605
8 6.210 5.335 4.968 4.487 3.837
9 6.802 5.759 5.328 4.772 4.031
10 7.360 6.145 5.650 5.019 4.192

a. Determine the expected internal rate of return of this project for five years, using the present value of an annuity of $1 table above. If required, round your final answer to the nearest whole percent.


Solutions

Expert Solution

Correct Answer:

IRR = 15%

Working:

IRR =R1+ NPV1/ (NPV1-NPV2) * (R2-R1)

Cash inflow(outflow)

PV of annuity @ 12%

Present value

Cash outflow

$ (368,830.00)

1

$ (368,830.00)

Cash inflow

$    110,000.00

3.605

$    396,550.00

NPV 1

$      27,720.00

Cash inflow(outflow)

PV of annuity @ 20%

Present value

Cash outflow

$ (368,830.00)

1

$ (368,830.00)

Cash inflow

$    110,000.00

2.991

$    329,010.00

NPV 2

$    (39,820.00)

A

R1

12%

B

R1

20%

C

NPV1

$              27,720.00

D

NPV2

$            (39,820.00)

E =C-D

NPV1-NPV2

$              67,540.00

F =C/D

NPV1/NPV1-NPV2

0.41042

G = A-B

R2-R1

8%

H =F*G

NPV1/(NPV1-NPV2) * (R2-R1)

0.03

I = A+H

IRR

15%

End of answer.

Thanks.


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