Question

The management of California Corporation is considering the purchase of a new machine costing $400,000. The company's desired rate of return is 10%. The present value factors for $1 at compound interest of 10% for 1 through 5 years are 0.909, 0.826, 0.751, 0.683, and 0.621, respectively. In addition to the foregoing information, use the following data in determining the acceptability in this situation:

Year Income from Operations Net Cash Flow
1 $100,000 $180,000
2 40,000 120,000
3 20,000 100,000
4 10,000 90,000
5 10,000 90,000

The present value index for this investment is: ________-

a. .88
b. 1.45
c. 1.14
d. 0.70

Answer 1

c. 1.14

Step-by-step explanation:

Year Cash Flow PV Factor 10% PV of Cash flows

($) ($)

Year 1 180,000 0.909 163,620

Year 2 120,000 0.826 99,120

Year 3 100,000 0.751 75,100

Year 4 90,000 0.683 61,470

Year 5 90,000 0.621 55,890

Total = 455,200

Initial cash outflow = $400,000

Cash inflow = $455,200

So, we can calculate the present value index by using following formula,

Present value index = Cash inflow ÷ Cash outflow

= $455,200 ÷ $400,000

= 1.14