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

Answer:

c. 1.14

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