In: Finance
For what value of W will the NPV of the series of cash flows be zero at 12% per period interest rate? please use excel and the Goal seek function solving for W. and explain work please....the answer is one of the four
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Year |
Cash Flow |
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|
0 |
+$25000 |
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|
1 |
-4W |
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|
2 |
18W |
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|
3 |
-16W |
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|
4 |
48W |
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|
5 |
-64W |
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|
6 |
42W |
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|
7 |
-256W |
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|
8 |
52W |
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|
9 |
-64W |
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|
10 |
42W |
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|
11 |
-256W |
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|
12 |
52W |
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|
$98 |
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|
$124 |
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|
$167 |
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|
$184 |
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| Option C $167 is correct | |||||||||||||
| To calculate value of W, We can find NPV which should be equal to zero | |||||||||||||
| Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | Disc. Outflow |
| Flow | -4 | 18 | -16 | 48 | -64 | 42 | -256 | 52 | -64 | 42 | -256 | 52 | |
| Disc rate=1/(1+12%)^n | 0.89286 | 0.79719 | 0.71178 | 0.63552 | 0.56743 | 0.50663 | 0.45235 | 0.40388 | 0.36061 | 0.32197 | 0.28748 | 0.25668 | |
| Disc Flow | -3.571 | 14.349 | -11.388 | 30.505 | -36.315 | 21.279 | -115.801 | 21.002 | -23.079 | 13.523 | -73.594 | 13.347 | -149.745 |
| NPV must be equal to zero so 25000-149.745W=0 | |||||||||||||
| W=25000/149.745 | |||||||||||||
| W=167 | |||||||||||||