Question

A project is estimated to cost $77,766 and provide annual net cash flows of $26,000 for...

A project is estimated to cost $77,766 and provide annual net cash flows of $26,000 for five years.

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

Determine the internal rate of return for this project, using the Present Value of an Annuity of $1 at Compound Interest table shown above.

Homework Answers

Answer #1
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6% 10% 12% 15% 20%
Present Value of an Annuity of $1 at Compound Interest 5Years 4.212 3.791 3.605 3.353 2.991
Cash Inflow 26000 26000 26000 26000 26000
Present Value of Cash Flow (PVAF*Cash Flow) 109512 98566 93730 87178 77766
IRR will be 20% since at IRR, PV of cash flow should be equal to Outflow. IRR is a rate where NPV is zero.
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