Net Present Value—Unequal Lives

Project 1 requires an original investment of $82,500. The project will yield cash flows of $18,000 per year for eight years. Project 2 has a calculated net present value of $21,100 over a six-year life. Project 1 could be sold at the end of six years for a price of $78,000.

Use the **Present Value of $1 at Compound Interest** and the **Present Value of an Annuity of $1 at Compound Interest** tables shown below.

Present Value of $1 at Compound Interest |
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Year |
6% |
10% |
12% |
15% |
20% |

1 | 0.943 | 0.909 | 0.893 | 0.870 | 0.833 |

2 | 0.890 | 0.826 | 0.797 | 0.756 | 0.694 |

3 | 0.840 | 0.751 | 0.712 | 0.658 | 0.579 |

4 | 0.792 | 0.683 | 0.636 | 0.572 | 0.482 |

5 | 0.747 | 0.621 | 0.567 | 0.497 | 0.402 |

6 | 0.705 | 0.564 | 0.507 | 0.432 | 0.335 |

7 | 0.665 | 0.513 | 0.452 | 0.376 | 0.279 |

8 | 0.627 | 0.467 | 0.404 | 0.327 | 0.233 |

9 | 0.592 | 0.424 | 0.361 | 0.284 | 0.194 |

10 | 0.558 | 0.386 | 0.322 | 0.247 | 0.162 |

Present Value of an Annuity of $1 at Compound Interest |
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Year |
6% |
10% |
12% |
15% |
20% |

1 | 0.943 | 0.909 | 0.893 | 0.870 | 0.833 |

2 | 1.833 | 1.736 | 1.690 | 1.626 | 1.528 |

3 | 2.673 | 2.487 | 2.402 | 2.283 | 2.106 |

4 | 3.465 | 3.170 | 3.037 | 2.855 | 2.589 |

5 | 4.212 | 3.791 | 3.605 | 3.352 | 2.991 |

6 | 4.917 | 4.355 | 4.111 | 3.784 | 3.326 |

7 | 5.582 | 4.868 | 4.564 | 4.160 | 3.605 |

8 | 6.210 | 5.335 | 4.968 | 4.487 | 3.837 |

9 | 6.802 | 5.759 | 5.328 | 4.772 | 4.031 |

10 | 7.360 | 6.145 | 5.650 | 5.019 | 4.192 |

**a.** Determine the net present value of Project 1 over a six-year life with residual value, assuming a minimum rate of return of 15%. If required, round to the nearest dollar.

$

**b.** Which project provides the greatest net present value?

Project 1