Question

Internal Rate of Return Method

The internal rate of return method is used by Testerman Construction Co. in analyzing a capital expenditure proposal that involves an investment of $75,820 and annual net cash flows of $20,000 for each of the five 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

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

Answer

• Requirement [a]

Present Value factor for an annuity = $ 75820 / $ 20000 annual cash flows
= 3.791

• Requirement [b]
  >Term = 5 years
  >Look under “year” for Year 5, and see under which % the value “3.791” matches.
  >3.791 is under 10%

Answer = 10%