The management of Kunkel Company is considering the purchase of a $39,000 machine that would reduce operating costs by $9,000 per year. At the end of the machine's five-year useful life, it will have zero salvage value. The company's required rate of return is 11%.
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using table.
Required:
1. Determine the net present value of the investment in the machine.
2. What is the difference between the total, undiscounted cash inflows and cash outflows over the entire life of the machine?
1 | ||||||
Now | 1 | 2 | 3 | 4 | 5 | |
Purchase of machine | -39000 | |||||
Reduced operating costs | 9000 | 9000 | 9000 | 9000 | 9000 | |
Total cash flows | -39000 | 9000 | 9000 | 9000 | 9000 | 9000 |
Discount factor (11%) | 1 | 0.901 | 0.812 | 0.731 | 0.659 | 0.593 |
Present value | -39000 | 8109 | 7308 | 6579 | 5931 | 5337 |
Net present value | -5736 | |||||
2 | ||||||
Cash Flow | Years | Total Cash Flows | ||||
Annual cost savings | 9000 | 5 | 45000 | |||
Initial investment | -39000 | 1 | -39000 | |||
Net cash flow | 6000 | |||||
Total difference in undiscounted cash inflows and outflows 6000 |
1) Net present value = Present value of cash inflow-Present value of cash outflow
= (9000*3.69590)-39000
Net present value = -5737
2) Schedule :
Item | Cash flow | Year | Total cash flows |
Annual cost saving | 9000 | 5 | 45000 |
Initial investment | 39000 | 1 | -39000 |
Net cash flow | 6000 |
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