Gio's Restaurants is considering a project with the following expected cash? flows:
Year |
Project Cash Flow? (millions) |
||
0 |
?$(210?) |
||
1 |
100 |
||
2 |
72 |
||
3 |
100 |
||
4 |
90 If the? project's appropriate discount rate is 11percent, what is the? project's discounted payback? period? The? project's discounted payback period is ____ years? Round to 2 decimal places |
Discounted Payback Period =
( Last Year with a Negative Cumulative Cash Flow ) + [( Absolute Value of negative Cumulative Cash Flow in that year)/ Total Present Cash Flow in the following year)]
= 2 + ( 61.47 / 73)
= 2.84 Years
Hence the correct answer is 2.84 Years
Note :
Cash Flow | Discounting Factor ( 11%) | Present Value (Cash Flow * Discounting Factor) | Cumulative Cash Flow | |
0 | -210 | 1 | -210 | -210 |
1 | 100 | 0.900900901 | 90 | -119.91 |
2 | 72 | 0.811622433 | 58 | -61.47 |
3 | 100 | 0.731191381 | 73 | 11.65 |
4 | 90 | 0.658730974 | 59 | 70.93 |
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