Answers to Cruddy Corp and Steve’s BBQ

 

 

Handout Questions

1.

 

Cruddy Corp. Two ways to do this problem. (1) equivalent annual costs or (2) replacement chain. Remember, all values are costs so looking for lowest cost alternative.

 

 

Equivalent Annual Costs

 

 

T=0

T=1

T=2

T=3

T=4

T=5

T=6

T=7

T=8

T=9

T=10

A

200K

100K

100K

 

 

 

 

 

 

 

 

B

1,400K

50K

50K

50K

50K

50K

50K

50K

50K

50K

50K

 

 

 

PVA = 373,554, PVB = 1,707,228

 

 

EACA = 215,238, EACB = 277,844 so choose A (lowest cost per year)

 

 

 

 

 

Replacement Chain

 

 

Lowest common denominator of a 2 year project and a 10 year project is 10 years.

 

 

So, create 10 year project cash flows for project A. For example: t3 = 300,000, t4 = 100,000, t5 = 300,000, t6 = 100,000 ……..

 

 

Project with the lowest PV wins (A should win)

 

 

 

2.

 

Steve's Barbecue

 

 

0

1

2

3

4

5

New BBQ

(200K)

 

 

 

 

 

Sale of Old BBQ

40K

 

 

 

 

 

Tax on sale of old BBQ

(12K)

 

 

 

 

 

Loss of sale of old BBQ

 

 

 

 

 

(10K)

Loss of tax on sale

 

 

 

 

 

3K

Decrease in inventory

(10K)

 

 

 

 

10K

Cost Savings net of tax

 

21K

21K

21K

21K

21K

Tax benefit of depreciation

 

18K

24K

12K

6K

 

Salvage of new BBQ

 

 

 

 

 

60K

Tax on sale of new BBQ

 

 

 

 

 

(18K)

Net Cash Flow

(182K)

39K

45K

33K

27K

66K