Question

Problem 11-13
Replacement Analysis

The Everly Equipment Company's flange-lipping machine was purchased 5 years ago for $100,000. It had an expected life of 10 years when it was bought and its remaining depreciation is $10,000 per year for each year of its remaining life. As older flange-lippers are robust and useful machines, this one can be sold for $20,000 at the end of its useful life.

A new high-efficiency digital-controlled flange-lipper can be purchased for $160,000, including installation costs. During its 5-year life, it will reduce cash operating expenses by $45,000 per year, although it will not affect sales. At the end of its useful life, the high-efficiency machine is estimated to be worthless. MACRS depreciation will be used, and the machine will be depreciated over its 3-year class life rather than its 5-year economic life, so the applicable depreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%.

The old machine can be sold today for $50,000. The firm's tax rate is 35%, and the appropriate cost of capital is 14%.

1. If the new flange-lipper is purchased, what is the amount of the initial cash flow at Year 0? Round your answer to the nearest whole dollar.
   $
2. 
   
3. 
   
4. 
   
5. What are the incremental net cash flows that will occur at the end of Years 1 through 5? Do not round intermediate calculations. Round your answers to the nearest whole dollar.

   CF1	$
   CF2	$
   CF3	$
   CF4	$
   CF5	$

6. 
   
7. What is the NPV of this project? Do not round intermediate calculations. Round your answer to the nearest whole dollar.
   $  
   
   Should Everly replace the flange-lipper?
       -Select-YesNoItem 8

Answer 1

Book value old machine= (purchase price)*remaining life/total life
= (100000)*5/10
= 50000

Time line		0	1	2	3	4	5
Proceeds from sale of existing asset	=selling price* ( 1 -tax rate)	32500
Tax shield on existing asset book value	=Book value * tax rate	17500
Cost of new machine		-160000
=a. Initial Investment outlay		-110000
3 years MACR rate			33.33%	44.45%	14.81%	7.41%	0.00%
Savings			45000	45000	45000	45000	45000
-Depreciation	=Cost of machine*MACR%		-53328	-71120	-23696	-11856	0
=Pretax cash flows			-8328	-26120	21304	33144	45000
-taxes	=(Pretax cash flows)*(1-tax)		-5413.2	-16978	13847.6	21543.6	29250
+Depreciation			53328	71120	23696	11856	0
=after tax operating cash flow			47914.8	54142	37543.6	33399.6	29250
+Tax shield on salvage book value	=Salvage value * tax rate						0
=Terminal year after tax cash flows							0
b - f. Total Cash flow for the period		-110000	47915	54142	37544	33400	29250
Discount factor=	(1+discount rate)^corresponding period	1	1.14	1.2996	1.481544	1.6889602	1.9254146
Discounted CF=	Cashflow/discount factor	-110000	42030.52632	41660.511	25340.861	19775.244	15191.533
g. NPV=	Sum of discounted CF=	33999

Accept new machine