Question

In: Accounting

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

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

Solutions

Expert Solution

Calculation of NPV
Project 22A
IRR is the discount rate on which NPV is zero. To calculate this, we have to took two Random Discount Rate:
Period Cash Outflow Cash Inflow (Income+Depreciation) P.V.F @ 11% N.P.V @ 11% P.V.F @ 12% N.P.V @ 12%
0 -240600 1.00000        -2,40,600 1.00000        -2,40,600
1                                    57,320 0.90090              51,640 0.89286              51,179
2                                    57,320 0.81162              46,522 0.79719              45,695
3                                    57,320 0.73119              41,912 0.71178              40,799
4                                    57,320 0.65873              37,758 0.63552              36,428
5                                    57,320 0.59345              34,017 0.56743              32,525
6                                    57,320 0.53464              30,646 0.50663              29,040
Total                1,894              -4,934
IRR= Lower Discount Rate + [ Lower Rate NPV / ( Lower Rate NPV - Higher Rate NPV )]*(Higher Discount Rate-Lower Discount Rate)
So By putting figure into this formula IRR is 11.27%
Project 23A
Period Cash Outflow Cash Inflow (Income+Depreciation) P.V.F @ 11% N.P.V @ 11% P.V.F @ 13% N.P.V @ 13%
0 -271400 1.00000        -2,71,400 1.00000        -2,71,400
1                                   51,156 0.90090              46,086 0.88496              45,271
2                                   51,156 0.81162              41,519 0.78315              40,062
3                                   51,156 0.73119              37,404 0.69305              35,453
4                                   51,156 0.65873              33,698 0.61332              31,375
5                                   51,156 0.59345              30,358 0.54276              27,765
6                                   51,156 0.53464              27,350 0.48032              24,571
7                                   51,156 0.48166              24,640 0.42506              21,744
8                                   51,156 0.43393              22,198 0.37616              19,243
9                                   51,156 0.39092              19,998 0.33288              17,029
Total              11,850 Total              -8,887
IRR= Lower Discount Rate + [ Lower Rate NPV / ( Lower Rate NPV - Higher Rate NPV )]*(Higher Discount Rate-Lower Discount Rate)
So By putting figure into this formula IRR is 12.11%
Project 24A
Period Cash Outflow Cash Inflow (Income+Depreciation) P.V.F @ 11% N.P.V @ 11% P.V.F @ 8% N.P.V @ 8%
0 -284100 1.00000        -2,84,100 1.00000        -2,84,100
1                                   56,286 0.90090              50,708 0.92593              52,117
2                                   56,286 0.81162              45,683 0.85734              48,256
3                                   56,286 0.73119              41,156 0.79383              44,681
4                                   56,286 0.65873              37,077 0.73503              41,372
5                                   56,286 0.59345              33,403 0.68058              38,307

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