Question

The management of Nebraska Corporation is considering the purchase of a new machine costing $490,000. The company's desired rate of return is 10%. The present value factors for $1 at compound interest of 10% for 1 through 5 years are 0.909, 0.826, 0.751, 0.683, and 0.621, respectively. In addition to the foregoing information, use the following data in determining the acceptability: Year Income from Operations Net Cash Flow 1 $100,000 $180,000 2 40,000 120,000 3 40,000 100,000 4 10,000 90,000 5 10,000 120,000 The average rate of return for this investment is a.58% b.16% c.10% d.18%

Answer 1

Answer:

The average rate of return of this investment is 8%.

Note: Based on the information provided in the question, the average rate of return of this investment is 8% but it is not included in the option. Kindly confirm this from your teacher.

Explanation:

Note: The data in the question are merged and they therefore first sorted before answering the question as follows:

Year         Income from Operations             Net Cash Flow

  1                          $100,000                               $180,000

  2                             40,000                                 120,000

  3                             40,000                                 100,000

  4                              10,000                                  90,000

  5                              10,000                                 120,000

The explanations to the answer is now given as follows:

Calculation of the average rate of return for this investment

Average rate of return (ARR) is a financial ratio that is used to determine the rate of return that is expected from an asset over its lifetime. ARR is calculated as the total income from the assets divided by the initial investment on the assets.

The average rate of return for this investment can be calculated as follows:

Total income form operations over five years = $100,000 + $40,000 + $40,000 $ $10,000 + $10,000 = $200,000

Average income = Total income form operations over five years / Number of years = $200,000 / 5 = $40,000

Average rate of return for this investment = Average income / Cost of Machine = $40,000 / $490,000 = 0.08, or 8%

Therefore, the average rate of return is 8%.