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A firm is considering renewing its equipment tomeet increased demand for its product. The cost of equipment modifications is$1.9 million plus $100,000 in installation costs. The firm will depreciate the equipment modifications under MACRS, using a 5-year recovery period. (See Table 4.2on page 117 for the applicable depreciation percentages.) Additional sales revenuefrom the renewal should amount to $1.2 million per year, and additional operatingLG 5expenses and other costs (excluding depreciation and interest) will amount to 40%of the additional sales. The firm is subject to a tax rate of 40%. (Note: Answer thefollowing questions for each of the next 6 years.)a. What incremental earnings before depreciation, interest, and taxes will resultfrom the renewal?b. What incremental net operating profits after taxes will result from the renewal?c. What incremental operating cash inflows will result from the renewal?

Question

A firm is considering renewing its equipment tomeet increased demand for its product. The cost of equipment modifications is1.9millionplus1.9 million plus 100,000 in installation costs. The firm will depreciate the equipment modifications under MACRS, using a 5-year recovery period. (See Table 4.2on page 117 for the applicable depreciation percentages.) Additional sales revenuefrom the renewal should amount to $1.2 million per year, and additional operatingLG 5expenses and other costs (excluding depreciation and interest) will amount to 40%of the additional sales. The firm is subject to a tax rate of 40%. (Note: Answer thefollowing questions for each of the next 6 years.)a. What incremental earnings before depreciation, interest, and taxes will resultfrom the renewal?b. What incremental net operating profits after taxes will result from the renewal?c. What incremental operating cash inflows will result from the renewal?

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Solution

a. Incremental Earnings Before Depreciation, Interest, and Taxes (EBDIT):

The first step is to calculate the incremental earnings before depreciation, interest, and taxes (EBDIT). This is done by subtracting the additional operating expenses from the additional sales revenue.

Additional Sales Revenue = 1.2millionAdditionalOperatingExpenses=401.2 million Additional Operating Expenses = 40% of Additional Sales = 0.40 * 1.2 million = $0.48 million

EBDIT = Additional Sales Revenue - Additional Operating Expenses = 1.2million1.2 million - 0.48 million = $0.72 million

b. Incremental Net Operating Profits After Taxes (NOPAT):

The next step is to calculate the incremental net operating profits after taxes (NOPAT). This is done by subtracting the taxes from the EBDIT.

Taxes = Tax Rate * EBDIT = 0.40 * 0.72million=0.72 million = 0.288 million

NOPAT = EBDIT - Taxes = 0.72million0.72 million - 0.288 million = $0.432 million

c. Incremental Operating Cash Inflows:

The final step is to calculate the incremental operating cash inflows. This is done by adding back the depreciation to the NOPAT.

Depreciation is calculated using the Modified Accelerated Cost Recovery System (MACRS) 5-year recovery period. The total cost of the equipment modifications and installation is 2million(2 million (1.9 million + $0.1 million). The depreciation for each of the next 6 years can be found in Table 4.2 on page 117.

Once the depreciation for each year is known, it can be added back to the NOPAT to get the incremental operating cash inflows for each year.

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