Cash flow of the Firm

The cash flow statement explains the change in a company's cash and cash equivalents over a period by categorizing cash flows into three main activities:

1. Operating Cash Flow (CFO): Reflects cash generated from core business operations.
2. Investing Cash Flow (CFI): Reflects cash used for or generated from investments in long-term assets
3. Financing Cash Flow (CFF): Reflects cash transactions with shareholders and creditors.

So,

$$CFO=\text{Net Income}+\text{Non-Cash Items}-\Delta \text{Net Working CapitalNet Income: From the income statement.Non-Cash Items: Typically include depreciation and amortization, as these reduce net income but do not involve cash outflows.Net Working Capital (NWC): Change in current assets (excluding cash) minus current liabilities. An increase in NWC (more inventory or receivables) reduces cash, while a decrease in NWC increases cash.}$$

         CFI= −Cash Paid for Fixed Assets + Cash Received from Sale of Fixed Assets Investing 

• Cash Paid for Fixed Assets: Capital expenditures (purchasing equipment or property).
• Cash Received from Sale of Fixed Assets: Proceeds from selling assets like machinery or buildings.

         CFF=Cash from Issuing Debt/Equity−Cash Paid to Retire Debt/Stock−

                     Cash Dividends Paid−Stock Repurchased

• Includes issuing or repaying debt, issuing or repurchasing stock, and paying dividends.

The net change in cash is:

$$\Delta \text{Cash} = \text{Operating Cash Flow} + \text{Investing Cash Flow} + \text{Financing Cash Flow}$$

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👉Why Cash Flow Analysis is Popular

We mentioned that cash flow analysis is popular because it’s difficult to manipulate. because:

• Cash-based: Unlike net income, which can be affected by accounting policies (e.g., revenue recognition, depreciation methods), cash flows reflect actual cash movements, making them harder to "spin."
• Transparency: Cash flows provide a clear picture of a company’s liquidity and ability to meet obligations, invest, or return capital to shareholders.
• Decision-making: Investors and creditors rely on cash flows to assess a company’s financial health and sustainability.

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Free Cash Flow (FCF)

Free Cash Flow represents the cash a company can distribute to creditors and stockholders after funding operations and necessary investments.

$$FCF = \text{Net Income} + \text{Non-Cash Charges} + \text{Interest Expense} \times (1 - \text{Tax Rate}) - \text{Capital Expenditures} - \Delta \text{Working Capital}$$

                         FCF=Net Income+ Non-Cash Charges+ Interest Expense× (1−Tax Rate) −Capital Expenditures−ΔWorking Capital

• Non-Cash Charges: Typically, depreciation and amortization.
• Interest Expense × (1 - Tax Rate): Adjusts for the tax shield on interest, as interest is tax-deductible.
• Capital Expenditures (Capex): Cash spent on acquiring or maintaining fixed assets.
• Change in Working Capital: Increase in NWC reduces FCF, as it ties up cash.

Capital Expenditures (Capex):

$$\text{Capex}=\text{Ending Net Fixed Assets}-\text{Beginning Net Fixed Assets}+\text{Depreciation}$$

• This formula accounts for the change in net fixed assets (after depreciation) and adds back depreciation to capture the actual cash spent on new assets.

👉Why FCF Matters: Free cash flow is critical for valuing a firm because it represents the cash available to pay creditors and shareholders after funding operations and necessary investments. It’s widely used in discounted cash flow (DCF) valuation models.

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Cash Flow to Creditors and Stockholders

These metrics show how much cash is distributed to debt holders and equity holders.

1. Cash Flow to Creditors: $$\text{Cash Flow to Creditors} = \text{Interest Paid} - \text{Net New Borrowing}$$
   
   • Net New Borrowing: $$\text{Net New Borrowing} = \text{Ending Long-Term Debt} - \text{Beginning Long-Term Debt}$$
     
     • If positive, the company borrowed more than it repaid (cash inflow).
     • If negative, the company repaid more debt than it borrowed (cash outflow).
2. Cash Flow to Stockholders: $$\text{Cash Flow to Stockholders} = \text{Dividends Paid} - \text{Net New Equity Raised}$$
   
   • Net New Equity Raised: $$\text{Net New Equity Raised} = \text{Stock Sold} - \text{Stock Repurchased}$$
     
     • If positive, the company issued more stock than it repurchased (cash inflow).
     • If negative, the company repurchased more stock than it issued (cash outflow).