Internal Rate of Return A project is estimated to cost $314,418 and provide annu
ID: 2457367 • Letter: I
Question
Internal Rate of Return A project is estimated to cost $314,418 and provide annual net cash flows of $78,000 for nine 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 3.352 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 Determine the internal rate of return for this project, using the Present Value of an Annuity of $1 at Compound Interest table shown above. %
Explanation / Answer
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
Cash Inflows for 9 years = $78,000
PV of Cash Inflow at above rates for 9 years:-
Year
6%
10%
12%
15%
20%
1-9
=78000x6.802
=78000x5.759
=78000x5.328
=78000x4.772
=78000x4.031
Cash Inflow (1-9)
$530,532
$449,203.9
$415,603.5
$372,183.5
$314,415.4
Cash Outflow
$314,418
$314,418
$314,418
$314,418
$314,418
Therefore, IRR is 20%.
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
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