Math  /  Algebra

QuestionOperating cash inflows A firm is considering renewing its equipment to meet increased demand for its product. The cost of equipment modifications is $1.86\$ 1.86 million plus $100,000\$ 100,000 in installation costs. The firm will depreciate the equipment modifications under MACRS, using a 5 -year recovery period (see table 囲). Additional sales revenue from the renewal should amount to $1.26\$ 1.26 million per year, and additional operating expenses and other costs (excluding depreciation and interest) will amount to 37%37 \% of the additional sales. The firm is subject to a tax rate of 21%21 \%. (Note: Answer the following questions for each of the next 6 years.) a. What net incremental earnings before depreciation, interest, and taxes will result from the renewal? b. What net incremental operating profits after taxes will result from the renewal? c. What net incremental operating cash inflows will result from the renewal? a. The net incremental profits before depreciation and tax are $\$ \square (Round to th
Data table (Click on the icon here in order to copy the contents of the data table below into a spreadsheet) Rounded Depreciation Percentages by Recovery Year Using MACRS for First Four Property Classes \begin{tabular}{ccccc} & \multicolumn{4}{c}{ Percentage by recovery year* } \\ \cline { 2 - 5 } Recovery year & 3\mathbf{3} years & 5\mathbf{5} years & 7\mathbf{7} years & 10\mathbf{1 0} years \\ \hline 1 & 33%33 \% & 20%20 \% & 14%14 \% & 10%10 \% \\ 2 & 45%45 \% & 32%32 \% & 25%25 \% & 18%18 \% \\ 3 & 15%15 \% & 19%19 \% & 18%18 \% & 14%14 \% \\ 4 & 7%7 \% & 12%12 \% & 12%12 \% & 12%12 \% \\ 5 & & 12%12 \% & 9%9 \% & 9%9 \% \\ 6 & & 5%5 \% & 9%9 \% & 8%8 \% \\ 7 & & & 9%9 \% & 7%7 \% \\ 8 & & & 4%4 \% & 6%6 \% \\ 9 & & & & 6%6 \% \\ 10 & & & & 6%6 \% \\ 11 & & & & 4%4 \% \\ Totals & & & & 100%100 \% \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The cost of equipment modifications is 1.861.86 million, with an additional 100,000100,000 for installation.
2. The total cost subject to depreciation is 1.961.96 million.
3. The equipment is depreciated using MACRS over a 5-year recovery period.
4. Additional sales revenue is 1.261.26 million per year.
5. Additional operating expenses are 37%37\% of additional sales revenue.
6. The tax rate is 21%21\%.
7. We need to calculate the net incremental earnings before depreciation, interest, and taxes (EBIT), net incremental operating profits after taxes, and net incremental operating cash inflows for each of the next 6 years.

STEP 2

1. Calculate the annual depreciation using MACRS for each year.
2. Calculate the net incremental earnings before depreciation, interest, and taxes (EBIT) for each year.
3. Calculate the net incremental operating profits after taxes for each year.
4. Calculate the net incremental operating cash inflows for each year.

STEP 3

Calculate the annual depreciation using MACRS for each year.
- Year 1: Depreciation = 1.96 million×20%=0.392 million1.96 \text{ million} \times 20\% = 0.392 \text{ million} - Year 2: Depreciation = 1.96 million×32%=0.6272 million1.96 \text{ million} \times 32\% = 0.6272 \text{ million} - Year 3: Depreciation = 1.96 million×19%=0.3724 million1.96 \text{ million} \times 19\% = 0.3724 \text{ million} - Year 4: Depreciation = 1.96 million×12%=0.2352 million1.96 \text{ million} \times 12\% = 0.2352 \text{ million} - Year 5: Depreciation = 1.96 million×12%=0.2352 million1.96 \text{ million} \times 12\% = 0.2352 \text{ million} - Year 6: Depreciation = 1.96 million×5%=0.098 million1.96 \text{ million} \times 5\% = 0.098 \text{ million}

STEP 4

Calculate the net incremental earnings before depreciation, interest, and taxes (EBIT) for each year.
- Additional Sales Revenue = 1.26 million1.26 \text{ million} - Additional Operating Expenses = 1.26 million×37%=0.4662 million1.26 \text{ million} \times 37\% = 0.4662 \text{ million}
EBIT = Additional Sales Revenue - Additional Operating Expenses
- EBIT = 1.26 million0.4662 million=0.7938 million1.26 \text{ million} - 0.4662 \text{ million} = 0.7938 \text{ million}

STEP 5

Calculate the net incremental operating profits after taxes for each year.
- Taxable Income = EBIT - Depreciation - Tax = Taxable Income \times 21\% - Net Operating Profit After Taxes = Taxable Income - Tax
Calculate for each year:
- Year 1: Taxable Income = 0.7938 million0.392 million=0.4018 million0.7938 \text{ million} - 0.392 \text{ million} = 0.4018 \text{ million} - Tax = 0.4018 million×21%=0.084378 million0.4018 \text{ million} \times 21\% = 0.084378 \text{ million} - Net Operating Profit After Taxes = 0.4018 million0.084378 million=0.317422 million0.4018 \text{ million} - 0.084378 \text{ million} = 0.317422 \text{ million}
- Repeat similar calculations for years 2 through 6.

STEP 6

Calculate the net incremental operating cash inflows for each year.
- Operating Cash Inflows = Net Operating Profit After Taxes + Depreciation
Calculate for each year:
- Year 1: Operating Cash Inflows = 0.317422 million+0.392 million=0.709422 million0.317422 \text{ million} + 0.392 \text{ million} = 0.709422 \text{ million}
- Repeat similar calculations for years 2 through 6.

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