Question

The internal rate of return method is used by King Bros. Construction Co. in analyzing a capital expenditure proposal that involves an investment of $156,218 and annual net cash flows of $38,000 for each of the six years of its useful 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 3.352 2.991
6 4.917 4.355 4.111 3.784 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

Required:
a. Determine a present value factor for an annuity of $1 which can be used in determining the internal rate of return. If required, round your answer to three decimal places.
b. Using the factor determined in part (a) and the present value of an annuity of $1 table above, determine the internal rate of return for the proposal.

Answer 1

a) the factor will be 0.411

b) the IRR will be 12%

Step-by-step explanation:

we do 156,218 / 38,000 = 4.11100

We now check in the row for time = 6 and look for a similar value

the factor of the discount rate of 12% and 6 year matches the 4.111

Thus, this will be the IRR of the project

(if we don't get a perfect match we have to do a linear approximation)