Internal Rate of Return A project is estimated to cost $139,702 and provide annual net cash flows of $46,000 for four 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. fill in the blank 1 %

Managerial Accounting
15th Edition
ISBN:9781337912020
Author:Carl Warren, Ph.d. Cma William B. Tayler
Publisher:Carl Warren, Ph.d. Cma William B. Tayler
Chapter12: Capital Investment Analysis
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Problem 4BE: Internal rate of return A project is estimated to cost 463,565 and provide annual net cash flows of...
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Internal Rate of Return

A project is estimated to cost $139,702 and provide annual net cash flows of $46,000 for four 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.
fill in the blank 1 %

Expert Solution
Step 1 Calculation of IRR-

IRR is the rate of return at which PV of cash outflow is equal to PV of cash inflows. In other words at IRR, NPV is equal to zero.

Calculation of IRR involves Trial and error method.

 

Let's take various interest rates and calculate NPV-

Year Cash flow ($) PVAF @10% PV of Cash flows ($) PVAF @12% PV of cash flow ($)
1-4 $46,000 3.170 $145,820 3.037 139,702
Initial Cost= $139,702   139,702
NPV= $6,118   0

At 12% interest rate or discount rate, NPV is 0. Hence IRR is 12%

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