Question

The management of Nebraska Corporation is considering the purchase of a new machine costing $490,000. 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:
Year Income from Operations Nat cash flow
1 $100,000 40,000
2 40,000 10,000
3 10,000 120,000
4 100,000 90,000
5 120,000 180,000

The cash payback period for this investment is ______.

Answer 1

Answer:

The payback period is more than 5 years

Explanation:

Net present value is the Net value of all cash inflows and outflows in present value term. All the cash flows are discounted using a required rate of return.

Year  Cash flow    PV factor   Present Value

0       ($490,000)       1              ($490,000)

1         $40,000       0.909         $36,360

2        $10,000        0.826         $8,260

3        $120,000      0.751          $90,120

4        $90,000       0.683         $61,470

5        $180,000      0.621         $111,780

Net Present Value                   ($182,010)

NPV of this Investment is negative so, it is not acceptable.  

Payback period

Total Net cash inflow of the investment is $440,000 and Initial investment is $490,000. This investment will take more than 5 years to payback the initial investment.