AACE Changed CCP Questions

TheNominal interest rateis the rate of interest before adjusting for compounding within the year. It disregards the effects of compounding periods that occur more frequently than annually. For instance, a nominal rate of 12% compounded monthly would still be referred to as 12%, without taking into account the fact that the effective annual rate would be higher due to monthly compounding. The other options, such as continuous compounding, simple interest, and minimum attractive rate of return (MARR), do account for compounding or are specific types of interest. Therefore, the correct answer isD. Nominal interest rate.

To calculate the mean unit cost, you add up all the unit costs and divide by the number of data points.

Mean Unit Cost=Sum of All Unit CostsNumber of Data Points\text{Mean Unit Cost} = \frac{\text{Sum of All Unit Costs}}{\text{Number of Data Points}}Mean Unit Cost=Number of Data PointsSum of All Unit Costs​

Adding the unit costs:

55.00+34.50+37.30+55.00+40.00+26.78+46.59+75.00+65.00=434.1755.00 + 34.50 + 37.30 + 55.00 + 40.00 + 26.78 + 46.59 + 75.00 + 65.00 = 434.1755.00+34.50+37.30+55.00+40.00+26.78+46.59+75.00+65.00=434.17

Number of data points: 9

Mean Unit Cost=434.179≈48.24\text{Mean Unit Cost} = \frac{434.17}{9} \approx 48.24Mean Unit Cost=9434.17​≈48.24

The closest match to the available options isB. $48.22.

When comparing two alternatives with different useful lives, the most appropriate method is to use theEquivalent Uniform Annual Value (EUAV). This method converts the net present worth (NPW) or the total cost of each alternative into an equivalent uniform annual cost or value over their respectivelives. By converting the costs into a common annual value, it allows for a straightforward comparison between alternatives with differing lifespans, ensuring that all costs (including maintenance, operation, and initial costs) are considered over a consistent time period.

To calculate the 25-year after-tax present worth of this project, we need to consider the income, expenses, depreciation, and taxes.

First, calculate the annual depreciation:

Depreciation=Initial CostLife=80,00025=3,200\text{Depreciation} = \frac{\text{Initial Cost}}{\text{Life}} = \frac{80,000}{25} = 3,200Depreciation=LifeInitial Cost​=2580,000​=3,200

Now, calculate the taxable income each year:

Taxable Income=Revenue−Expenses−Depreciation=22,500−12,000−3,200=7,300\text{Taxable Income} = \text{Revenue} - \text{Expenses} - \text{Depreciation} = 22,500 - 12,000 - 3,200 = 7,300Taxable Income=Revenue−Expenses−Depreciation=22,500−12,000−3,200=7,300

Calculate the tax:

Tax=Taxable Income×Tax Rate=7,300×0.53=3,869\text{Tax} = \text{Taxable Income} \times \text{Tax Rate} = 7,300 \times 0.53 = 3,869Tax=Taxable Income×Tax Rate=7,300×0.53=3,869

Net income after tax:

Net Income=Taxable Income−Tax=7,300−3,869=3,431\text{Net Income} = \text{Taxable Income} - \text{Tax} = 7,300 - 3,869 = 3,431Net Income=Taxable Income−Tax=7,300−3,869=3,431

Add back depreciation (since it’s a non-cash expense):

Cash Flow=3,431+3,200=6,631\text{Cash Flow} = 3,431 + 3,200 = 6,631Cash Flow=3,431+3,200=6,631

Finally, calculate the present worth using the formula for the present worth of an annuity:

Present Worth=6,631×(1−(1+0.10)−250.10)≈137,466\text{Present Worth} = 6,631 \times \left(\frac{1-(1+0.10)^{-25}}{0.10}\right) \approx 137,466Present Worth=6,631×(0.101−(1+0.10)−25​)≈137,466

So, the correct answer isB. $137,466.