SOLUTION
As the numbers indicate, this would not be an economically feasible project for a number of reasons. It would take more than the projected four year life span to breakeven on the initial investment, the return on investment is a very low number (-1), and the net present value is currently projected as a number less than zero.
Year 1
Year 2
Year 3
Year 4
Year 5
Year 6
Sales
30,000
33000
36300
39930
43923
48315.3
savings
15000
15000
15000
15000
15000
15000
Total cash
PV
45000
41284.4
48000
40400.6
51300
39613.8
54930
38916.04
58923
63315.3
PV = 45000 = 45000 (1+ 0.09) 1.09 = 41284.4
PV2 = 48000 = 48000 = 40400.6 (1+0.09)2 1.1881
PV3= 51300 = 51300 = 39613.8 (1.09)3 1.2950
PV4 = 54930 = 54930 = 38916.046 (1.09)4 1.4115
Now calculate NPV:
Annual operating cost = 995 + 525 + 3300 = $4820
Development cost = 18700 + 1500 + 7500 + 6650 = $34350
Total Cost = $39170
Total initial investment= sales in first year+ inventory savings+ total cost = 30000 + 15000 + 39170 = $ 84170
NPV = -84170 + 45000 + 48000 + 51300 + 54930 1 + 0.09 (1 + 0.09)2 (1.09)3 (1.09)4
= -84170 + 41284.4 + 40400.6 + 39613.8 + 38916.046
NPV = 76044.846
Gain from investment = initial investment – cost = $45000
45000 - 39170
=