Math Problem Statement

To make the adaptor kits the firm would need to invest in a variety of machine tools costing a total of ​$850 comma 000. ​LP's management estimates that they will be able to borrow ​$320 comma 000 from the​ firm's bank and pay 8 percent interest. The remaining funds would have to be supplied by​ LP's owners. The firm estimates that they will be able to sell​ 1,000 units a year for ​$1 comma 350 each. The units would cost ​$1 comma 000 each in cash expenses to produce​ (this does not include depreciation expense of ​$85 comma 000 per year or interest expense of ​$25 comma 600​). After all​ expenses, the firm expects earnings before interest and taxes of ​$265 comma 000. The firm pays taxes equal to 37 ​percent, which results in net income of ​$141 comma 350 per year over the 10​-year expected life of the equipment. a.  What is the annual free cash flow LP should expect to receive from the investment in year 1 assuming that it does not require any other investments in either capital equipment or working capital and the equipment is depreciated over a 10​-year life to a zero salvage and book​ value?

Solution

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Math Problem Analysis

Mathematical Concepts

Financial Analysis
Cash Flow
Depreciation
Net Income

Formulas

Free Cash Flow (FCF) = Net Income + Depreciation - CAPEX - Change in Working Capital
Net Income = Earnings Before Interest and Taxes - Interest - Taxes

Theorems

Cash Flow Analysis

Suitable Grade Level

Undergraduate (Finance or Business Studies)