In: Finance
KLM Flights are currrently in a financial crisis, and are looking at methods to decrease costs to stay afloat. The company is considering the purchase of a new computerised system that is expected to save the company $76,000 at the end of each year in reduced wages.
The system costs $252,000, plus another $19,000 to be installed. It is expected to last for five years after which it can be sold for $46,000. Operating expenses (such as electricity and maintenance) are $9,000 pa.
a)Determine the annual net cash flows of this investment (ignore the effect of taxes). Enter the information in the following table. Indicate whether cash flows are + or -:
Time | 0 | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|---|
Net Cash Flow |
b)Calculate the NPV if the required rate of return is 10% pa.
NPV10% = $
c)Calculate the NPV if the required rate of return is 12% pa.
NPV12% = $
Time | 0 | 1 | 2 | 3 | 4 | 5 |
Net Cash Flow | -(252,000 + 19,000)= -271,000 | 76,000-9,000= +$67,000 | 76,000 - 9,000= +$67,000 | 76,000-9,000= +$67,000 | 76,000-9,000= +$67,000 | 76,000-9,000+46000= +$113,000 |
b.)Calculation of NPV if Required Rate of Return @10%
Year | Cash Flows | PVF @10% | Discounted Cash Flows |
1 | 67000 | 0.90909090909 | 60909.090909 |
2 | 67000 | 0.82644628099 | 55371.9008263 |
3 | 67000 | 0.7513148009 | 50338.0916603 |
4 | 67000 | 0.68301345536 | 45761.9015091 |
5 | 113000 | 0.62092132305 | 70164.1095046 |
Total | 282545.094408 |
Total Present Value of Cash Inflow | 282545.094408 |
(-) Present Value of Cash Outflow | (271,000) |
Net present Value | 11,545.094408 |
Calculation of NPV if Required Rate of Return @12%
Year | Cash Flows | PVF @12% | Discounted Cash Flows |
1 | 67000 | 0.89285714285 | 59821.4285709 |
2 | 67000 | 0.79719387754 | 53411.9897951 |
3 | 67000 | 0.7117802478 | 47689.2766026 |
4 | 67000 | 0.63551807839 | 42579.7112521 |
5 | 113000 | 0.5674268557 | 64119.2346941 |
Total | 267621.640914 |
Total Present Value of Cash Inflow | 267621.640914 |
(-) Present Value of Cash Outflow | (271,000) |
Net present Value | -3378.359086 |