Kerron Company is presented with the following two mutually exclusive projects. The required return for both projects is 19 percent. Year Project M Project N 0 –$140,000 –$355,000 1 63,500 152,500 2 81,500 180,000 3 72,500 137,500 4 58,500 110,000

Kerron Company is presented with the following two mutually exclusive projects. The required return for both projects is 19 percent.

Year	Project M	Project N
0	–$140,000	–$355,000
1	63,500	152,500
2	81,500	180,000
3	72,500	137,500
4	58,500	110,000

Required:
(a)	What is the IRR for each project? (Do not round intermediate calculations. Enter your answers as a percentage rounded to 2 decimal places (e.g., 32.16).)

	IRR
Project M	%
Project N	%

(b)	What is the NPV for each project? (Do not round intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).)

	NPV
Project M	$
Project N	$

(c)	Which, if either, of the projects should the company accept?
	Project M

Explanation: (a)

The IRR for each project is:

M:	$140,000 = $63,500 / (1 + IRR) + $81,500 / (1 + IRR)2 + $72,500 / (1 + IRR)3 + $58,500 / (1 + IRR)4

Using a spreadsheet, financial calculator, or trial and error to find the root of the equation, we find that:

IRR = 34.47%

N:	$355,000 = $152,500 / (1 + IRR) + $180,000 / (1 + IRR)2 + $137,500 / (1 + IRR)3 + 110,000 / (1 + IRR)4

Using a spreadsheet, financial calculator, or trial and error to find the root of the equation, we find that:

IRR = 24.61%

The IRR decision rule implies we accept project M because the IRR for M is greater than the IRR for N.

(b)

The NPV for each project is:

M:	NPV = – $140,000 + $63,500 / 1.19 + $81,500 / 1.192 + $72,500 / 1.193 + $58,500 / 1.194
	NPV = $43,108.55

N:	NPV = – $355,000 + $152,500 / 1.19 + $180,000 / 1.192 + $137,500 / 1.193 + $110,000 / 1.194
	NPV = $36,709.17

The NPV criterion implies we accept project M because project M has a higher NPV than project N.

(c)

Accept project M since the NPV is higher. IRR cannot be used to rank mutually exclusive projects.

   

Calculator Solution:

 

Note: Intermediate answers are shown below as rounded, but the full answer was used to complete the calculation.

    

Project M
CFo	–$140,000	CFo	–$140,000
C01	$63,500	C01	$63,500
F01	1	F01	1
C02	$81,500	C02	$81,500
F02	1	F02	1
C03	$72,500	C03	$72,500
F03	1	F03	1
C04	$58,500	C04	$58,500
F04	1	F04	1
CPT IRR		I = 19
34.47%		NPV CPT
		$43,108.55

   

Project N
CFo	–$355,000	CFo	–$355,000
C01	$152,500	C01	$152,500
F01	1	F01	1
C02	$180,000	C02	$180,000
F02	1	F02	1
C03	$137,500	C03	$137,500
F03	1	F03	1
C04	$110,000	C04	$110,000
F04	1	F04	1
CPT IRR		I = 19
24.61%		NPV CPT
		$36,709.17