Compute the net present worth (NPW) of the cash flows described in table below for investment being considered by MGM Industries in Georgia. MARR =6%
ANSWER:
Since the calculations are very long, i have solved in excel.
year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
cash flows | -200,000 | 10,000 | 10,000 | 10,000 | 10,000 | 10,000 | 10,000 | 10,000 | 10,000 | 10,000 | 10,000 | 20,000 | 20,000 | 20,000 | 20,000 | 20,000 | -5,000 | -5,000 | -5,000 | -5,000 | -5,000 | -5,000 | -5,000 | -5,000 | -5,000 | -5,000 | 30,000 | 30,000 | 30,000 | 30,000 | 30,000 |
net present worth | -65,267 |
in excel use the npv function.
=npv(rate,cash flows from year 1 to year 30) + (cash flow in year 0)
=npv(6%,10000,10000,10000,10000,10000,10000,10000,10000,10000,10000,20000,20000,20000,20000,20000,-5000,-5000,-5000,-5000,-5000,-5000,-5000,-5000,-5000,-5000,30000,30000,30000,30000,30000) + (-200000)
=-65,267
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