Question

A project is estimated to cost $379,704 and provide annual net cash flows of $78,000 for seven 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 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. %

Answer 1

Answer :- Calculation of the Internal rate of return for this project :-

Present Value = Estimated cost / Annual net cash flows

Present Value = $379,704 / $78,000

Present Value = 4.868

As we can see in the table the Present Value of an annuity factor for seven years at 10%.

So the Internal rate of return (IRR) = 10%

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