In: Accounting
Iggy Company is considering three capital expenditure projects.
Relevant data for the projects are as follows.
Project | Investment | Annual Income |
Life of Project |
||||
22A | $240,600 | $17,220 | 6 years | ||||
23A | 271,400 | 21,000 | 9 years | ||||
24A | 284,100 | 15,700 | 7 years |
Annual income is constant over the life of the project. Each
project is expected to have zero salvage value at the end of the
project. Iggy Company uses the straight-line method of
depreciation.
Click here to view the factor table.
(a)
Determine the internal rate of return for each project.
(Round answers 0 decimal places, e.g. 13%. For
calculation purposes, use 5 decimal places as displayed in the
factor table provided.)
Project | Internal Rate of Return |
||
22A | % | ||
23A | % | ||
24A | % |
(b)
If Iggy Company’s required rate of return is 11%, which projects
are acceptable?
The following project(s) are acceptable 24A23A22A23A and 24A22A and 24A22A and 23A22A, 23A and 24A |
a. | |||
Project | IRR | ||
22A | 11% | ||
23A | 12% | ||
24A | 9% | ||
b. | |||
Project 22A and Project 23A are acceptable projects if required rate of return is 11% | |||
Workings: | |||
Computation of IRR of Project 22A: | |||
Annual cash Inflow | = | Depreciation + Annual Income | |
= | ($240600/6 years) + $17220 | ||
= | $ 57,320 | ||
Year | Value Flows | ||
0 | $ -2,40,600 | ||
1 | $ 57,320 | ||
2 | $ 57,320 | ||
3 | $ 57,320 | ||
4 | $ 57,320 | ||
5 | $ 57,320 | ||
6 | $ 57,320 | ||
IRR | = | 11% | |
Computation of IRR of Project 23A: | |||
Annual cash Inflow | = | Depreciation + Annual Income | |
= | ($271400/9 years) + $21000 | ||
= | $ 51,156 | ||
Year | Value Flows | ||
0 | $ -2,71,400 | ||
1 | $ 51,156 | ||
2 | $ 51,156 | ||
3 | $ 51,156 | ||
4 | $ 51,156 | ||
5 | $ 51,156 | ||
6 | $ 51,156 | ||
7 | $ 51,156 | ||
8 | $ 51,156 | ||
9 | $ 51,156 | ||
IRR | = | 12% | |
Computation of IRR of Project 24A: | |||
Annual cash Inflow | = | Depreciation + Annual Income | |
= | ($284100/7 years) + $15700 | ||
= | $ 56,286 | ||
Year | Value Flows | ||
0 | $ -2,84,100 | ||
1 | $ 56,286 | ||
2 | $ 56,286 | ||
3 | $ 56,286 | ||
4 | $ 56,286 | ||
5 | $ 56,286 | ||
6 | $ 56,286 | ||
7 | $ 56,286 | ||
IRR | = | 9% |