Answer:
R is a better alternative because it has a higher NPV than Q.
Explanation:
Machines Q R
First costs $380,000 $395,000
Net annual revenue $150,000 in year 1, $152,500
increasing by $500
per year thereafter
Salvage value $4,000 0
Life, years 8 10
MACRS 7 year recovery:
year % Q R
1 14.29% 54,302 56,445.50
2 24.49% 93,062 96,735.50
3 17.49% 66,462 69,085.50
4 12.49% 47,462 49,335.50
5 8.93% 33,934 35,273.50
6 8.92% 33,896 35,234.00
7 8.93% 33,934 35,273.50
8 4.46% 16,948 17,617.00
net cash flow
year Q R
1 116,505.70 118,880.93
2 130,396.70 132,982.43
3 121,411.70 123,304.93
4 115,086.70 116,392.43
5 110,676.90 111,470.73
6 110,930.10 111,456.90
7 111,326.90 111,470.73
8 108,306.80 105,290.95
9 99,125
10 99,125
Using a financial calculator, I calculated the NPV using a 12% discount rate:
- Q's NPV = $200,636.15
- R's NPV = $259,221.01
