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14 May, 00:39

Iggy Company is considering three capital expenditure projects. Relevant data for the projects are as follows:

Project Investment Annual Income Life of Project

22A $240,900 $17,400 6 years

23A 274,900 20,950 9 years

24A 283,900 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.

Required:

(a) Determine the internal rate of return for each project.

(Round intermediate calculations to 5 decimal places and final answers to 0 decimal places)

Project Internal Rate of Return

22A %

23A %

24A %

(b) If Iggy Company's required rate of return is 11%, which projects are acceptable?

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Answers (1)
  1. 14 May, 01:03
    0
    Base on the scenario been described in the question, we can use the following method to solve the given problem

    Project: 22A

    Year

    Annual Income

    Depreciation

    Cash flow

    Discount factor at 10%

    Present Value of a cash flow

    Discount factor 20%

    Present Value of a cash flow

    0

    $ (240,900.00)

    $ (240,900.00)

    1

    $ (240,900.00)

    1

    $ (240,900.00)

    1

    $ 17,400.00

    $ 40,150.00

    $ 57,550.00

    0.90909

    $ 52,318.18

    0.83333

    $ 47,958.33

    2

    $ 17,400.00

    $ 40,150.00

    $ 57,550.00

    0.82645

    $ 47,561.98

    0.69444

    $ 39,965.28

    3

    $ 17,400.00

    $ 40,150.00

    $ 57,550.00

    0.75131

    $ 43,238.17

    0.57870

    $ 33,304.40

    4

    $ 17,400.00

    $ 40,150.00

    $ 57,550.00

    0.68301

    $ 39,307.42

    0.48225

    $ 27,753.67

    5

    $ 17,400.00

    $ 40,150.00

    $ 57,550.00

    0.62092

    $ 35,734.02

    0.40188

    $ 23,128.05

    6

    $ 17,400.00

    $ 40,150.00

    $ 57,550.00

    0.56447

    $ 32,485.47

    0.33490

    $ 19,273.38

    $ 9,745.25

    $ (49,516.89)

    IRR =

    Lower rate + * (NPV at lower rate Difference in rate / (NPV at lesser rate-NPV at higher rate))

    10% + (9,745.25*1 / (9745.25 - (-49516.89)))

    11.64%
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