Question

An investment project costs $23327 and has annual cash flows of $10533 for six years. What is the discounted payback period if the discount rate is 5 percent?

Answer #1

Year | Cash flows | Present value@5% | Cumulative Cash flows |

0 | (23327) | (23327) | (23327) |

1 | 10533 | 10031.43 | (13295.57) |

2 | 10533 | 9553.74 | (3741.83) |

3 | 10533 | 9098.80 | 5356.97 |

4 | 10533 | 8665.53 | 14022.50 |

5 | 10533 | 8252.88 | 22275.38 |

6 | 10533 | 7859.89 | 30135.27(Approx). |

Hence discounted Payback period=Last period with a negative cumulative cash flow+(Absolute value of cumulative cash flows at that period/Cash flow after that period).

=2+(3741.83/9098.8)

=**2.41 years(Approx).**

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