When calculating a firm's free cash flow from earnings before interest and taxes we must add back depreciation,amortization and depletion expense and allowances because

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Depreciation, amortization, and depletion expense and allowances are non-cash expenditures, meaning they do not involve actual cash payments. Therefore, to calculate the firm's free cash flow from earnings before interest and taxes, we need to add these expenses back as they do not represent actual cash outflows. Adding back these expenses gives a better indication of the firm's ability to generate cash from its operations.

When Calculating a Firm's Free Cash Flow from Earnings Before