Suppose you invest $105,000 today that will result in sales of 1000units in year 1 and 1500 units in year 2. Sales price and variable costs are$400 and $225 per unit respectively while fixed costs are $125,000 peryear. If depreciation is calculated straight-lineover three years ($105,000/3) and the tax rate is 34%, what isthe cash flow for the project in year 2?$90,750$102,650$126,450$137,500$149,400
Question
Suppose you invest 400 and 125,000 peryear. If depreciation is calculated straight-lineover three years (90,750126,450149,400
Solution
To calculate the cash flow for the project in year 2, we need to follow these steps:
- Calculate the total sales: 1500 units * 600,000
- Calculate the total variable costs: 1500 units * 337,500
- Subtract the variable costs from the sales to get the gross profit: 337,500 = $262,500
- Subtract the fixed costs from the gross profit: 125,000 = $137,500
- Calculate the depreciation: 35,000
- Subtract the depreciation from the result in step 4 to get the taxable income: 35,000 = $102,500
- Calculate the tax: 34,850
- Subtract the tax from the taxable income to get the net income: 34,850 = $67,650
- Add back the depreciation to the net income to get the cash flow: 35,000 = $102,650
So, the cash flow for the project in year 2 is $102,650.
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