Question

The Riverton Company, a ski resort, recently announced a $353,600 expansion to lodging properties, lifts, and terrain. Assume that this investment is estimated to produce $85,000 in equal annual cash flows for each of the first seven years of the project life.

Present Value of an Annuity of $1 at
Compound Interest |
|||||

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 expected internal rate of return of this project for
seven years, using the present value of an annuity of $1 table
above. If required, round your final answer to the nearest whole
percent.

%

**b.**
Indentify the uncertainties that could reduce the internal rate of
return of this project?

Answer #1

The Riverton Company, a ski resort, recently announced a
$872,590 expansion to lodging properties, lifts, and terrain.
Assume that this investment is estimated to produce $142,000 in
equal annual cash flows for each of the first 10 years of the
project life.
Present Value of an Annuity of $1 at
Compound Interest
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...

A project is estimated to cost $191,850 and provide annual net
cash flows of $50,000 for eight years.
Present Value of an Annuity of $1 at
Compound Interest
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...

A project is estimated to cost $454,730 and provide annual net
cash flows of $74,000 for 10 years.
Present Value of an Annuity of $1 at
Compound Interest
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...

Internal Rate of Return Method for a Service Company
The Riverton Company, announced a $620,761 million expansion of
lodging properties, ski lifts, and terrain in Park City, Utah.
Assume that this investment is estimated to produce $151,000
million in equal annual cash flows for each of the first six years
of the project life.
Present Value of an Annuity of $1 at
Compound Interest
Year
6%
10%
12%
15%
20%
1
0.943
0.909
0.893
0.870
0.833
2
1.833
1.736
1.690...

A project is estimated to cost $77,766 and provide annual net
cash flows of $26,000 for five years.
Present Value of an Annuity of $1 at
Compound Interest
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
3.353
2.991
6
4.917
4.355
4.111
3.785
3.326
7
5.582
4.868
4.564
4.160
3.605
8
6.210
5.335
4.968...

The internal rate of return method is used by Testerman
Construction Co. in analyzing a capital expenditure proposal that
involves an investment of $69,264 and annual net cash flows of
$13,000 for each of the nine years of its useful life.
Present Value of an Annuity of $1 at
Compound Interest
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...

Internal Rate of Return Method
The internal rate of return method is used by King Bros.
Construction Co. in analyzing a capital expenditure proposal that
involves an investment of $80,620 and annual net cash flows of
$20,000 for each of the nine years of its useful life.
Present Value of an Annuity of $1 at
Compound Interest
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...

Buckeye Healthcare Corp. is proposing to spend $120,640 on a
seven-year project that has estimated net cash flows of $29,000 for
each of the seven years.
Present Value of an Annuity of $1 at
Compound Interest
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...

Net Present Value
A project has estimated annual net cash flows of $11,250 for
five years and is estimated to cost $46,950. Assume a minimum
acceptable rate of return of 15%. Use the Present Value of
an Annuity of $1 at Compound Interest table below.
Present Value of an Annuity of $1 at
Compound Interest
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...

Net Present Value A project has estimated annual net cash flows
of $8,750 for two years and is estimated to cost $44,726. Assume a
minimum acceptable rate of return of 12%. Use the Present Value of
an Annuity of $1 at Compound Interest table below. Present Value of
an Annuity of $1 at Compound Interest 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...

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