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A firm with a 14% WACC is evaluating two projects for this year\'s capital budge

ID: 2789896 • Letter: A

Question

A firm with a 14% WACC is evaluating two projects for this year's capital budget. After-tax cash flows, including depreciation, are as follows:

Calculate NPV for each project. Round your answers to the nearest cent. Do not round your intermediate calculations.
Project M    $
Project N    $

Calculate IRR for each project. Round your answers to two decimal places. Do not round your intermediate calculations.
Project M     %
Project N     %

Calculate MIRR for each project. Round your answers to two decimal places. Do not round your intermediate calculations.
Project M     %
Project N     %

Calculate payback for each project. Round your answers to two decimal places. Do not round your intermediate calculations.
Project M     years
Project N     years

Calculate discounted payback for each project. Round your answers to two decimal places. Do not round your intermediate calculations.
Project M     years
Project N     years

0 1 2 3 4 5

Explanation / Answer

Please see the below excel file for all the calculations for Project M:

Formula = current year CF + previous year CF

Formula = Current year CF*(1+wacc)^n

Year

Project M

Cumulative Cashflow

Discounted cashflow

Cumulative discounted CF

0

-24000

-24000

-24000.000

-24000.000

1

8000

-16000

9120.000

-14880.000

2

8000

-8000

10396.800

-4483.200

3

8000

0

11852.352

7369.152

4

8000

13511.681

5

8000

15403.317

NPV at 14% wacc

$3,039.16

Payback

Discounted payback

IRR

19.858%

3

2.378

MIRR

17.116%

Formula = 2+(11852.352-7369.1519)/11852.352



Please see the below excel file for all the calculations for Project N:

Formula = current year CF + previous year CF

Formula = Current year CF*(1+wacc)^n

Year

Project N

Cumulative Cashflow

Discounted cashflow

Cumulative discounted CF

0

-72000

-72000

-72000.000

-72000.000

1

22400

-49600

25536.000

-46464.000

2

22400

-27200

29111.040

-17352.960

3

22400

-4800

33186.586

15833.626

4

22400

17600

37832.708

5

22400

43129.287

NPV at 14% wacc

$4,299.13

Payback

Discounted payback

IRR

16.798%

3.273

2.523

MIRR

15.511%

Formula = 3+(22400-17600)/17600

Formula = 2+(33186.586-15833.626)/33186.586

NPV for each project:
Project M    $3039.16
Project N    $4299.13

IRR for each project:
Project M 19.86%
Project N 16.80%

Calculate MIRR for each project. Round your answers to two decimal places. Do not round your intermediate calculations.
Project M 17.12%
Project N 15.51%

Calculate payback for each project. Round your answers to two decimal places. Do not round your intermediate calculations.
Project M 3years
Project N 3.27years

Calculate discounted payback for each project. Round your answers to two decimal places. Do not round your intermediate calculations.
Project M 2.37years
Project N 2.52years

Formula = current year CF + previous year CF

Formula = Current year CF*(1+wacc)^n

Year

Project M

Cumulative Cashflow

Discounted cashflow

Cumulative discounted CF

0

-24000

-24000

-24000.000

-24000.000

1

8000

-16000

9120.000

-14880.000

2

8000

-8000

10396.800

-4483.200

3

8000

0

11852.352

7369.152

4

8000

13511.681

5

8000

15403.317

NPV at 14% wacc

$3,039.16

Payback

Discounted payback

IRR

19.858%

3

2.378

MIRR

17.116%

Formula = 2+(11852.352-7369.1519)/11852.352

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