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Corporate Finance

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01

Financial Statements: The Three Key Reports

Financial statements: the three key reports

Balance (Statement of Financial Position)

Assets (Assets) → Liabilities (Liabilities) → Equity (Equity, Shareholders’ Equity) → Presentation Formats → Differences between IFRS and US GAAP → Analytical Aspects

  • ·Current Assets: Assets expected to be realized, sold, or used up within one operating cycle (usually a year). These include:
  • ·Cash and equivalents (the most liquid asset)
  • ·Short-term financial investments (marketable securities)
  • ·Accounts receivable—amounts owed by customers
  • ·Inventory—raw materials, work-in-progress, finished goods
  • ·Prepaid expenses
  • ·Non-current Assets (Long-term Assets): Assets used for more than one year.
  • ·Property, Plant & Equipment (PP&E)—land, buildings, equipment, transport. Reflected at original cost less accumulated depreciation.
  • ·Intangible Assets—patents, trademarks, licenses, goodwill (arising on acquisition).
  • ·Long-term financial investments—investments in other companies held for more than a year.
  • ·Current Liabilities: Obligations due within one year.
  • ·Accounts payable—amounts owed to suppliers
  • ·Short-term loans and current portion of long-term debt
  • ·Accrued liabilities—salary, taxes, interest accrued but unpaid
  • ·Deferred revenue—advances received for goods/services
  • ·Non-current Liabilities: Obligations with a maturity of more than one year.
  • ·Long-term loans and bonds
  • ·Lease liabilities (after IFRS 16, most leases on balance sheet)
  • ·Pension obligations (defined benefit obligations)
  • ·Deferred tax liabilities
  • ·Components of equity:
  • ·Common Stock (Share Capital)—par value of issued shares
  • ·Additional Paid-in Capital (Share Premium)—amount received above par upon share issuance
  • ·Retained Earnings—cumulative profit not distributed as dividends
  • ·Other Comprehensive Income—unrealized gains/losses (revaluation, currency differences)
  • ·Treasury Stock—own repurchased shares, reduces equity
  • ·Vertical format (Report Form): Assets at the top, liabilities and equity at the bottom. More common in modern practice.
  • ·Horizontal format (Account Form): Assets on the left, liabilities and equity on the right. Clearly shows the balance equation.
  • ·Liquidity classification: Standardly, assets are arranged from most to least liquid (as in US practice). Under IFRS, the order can be reversed—from least to most liquid.
  • ·Order of presentation: US GAAP requires current assets to be presented first; IFRS allows both options.
  • ·Terminology: US GAAP uses “Stockholders’ Equity”; IFRS uses “Shareholders’ Equity” or simply “Equity.” The names of individual items may also differ.
  • ·Revaluation: IFRS allows PP&E to be revalued at fair value; US GAAP permits only historical cost (subject to impairment). This can significantly affect balance sheet comparability.
  • ·The ratio of current to non-current assets (asset structure)
  • ·The ratio of equity to borrowed capital (capital structure, leverage)
  • ·Asset quality (questionable receivables, obsolete inventory, impaired PP&E)
  • ·Off-balance-sheet obligations (operating leases before IFRS 16, guarantees, contingent liabilities)

Balance Sheet: The Foundation of Financial Reporting The Balance (Balance Sheet, Statement of Financial Position) is a snapshot of a company's financial position at a specific date. It shows what the company owns (assets), owes (liabilities), and the owners’ share (equity). Understanding the bala...

The basic balance equation Assets = Liabilities + Equity is the fundamental equation of accounting. Assets are financed either through borrowed funds (liabilities) or the owners’ funds (equity). The equation is always in balance—hence the name “balance.” Every transaction affects both sides of th...

Assets are resources controlled by the company as a result of past events, from which economic benefits are expected to be received. Assets are classified by degree of liquidity—the ability to quickly be converted into cash.

Liabilities are a company’s current obligations arising from past events, the settlement of which will result in an outflow of resources. They are classified by maturity.

Income Statement

  • ·eliminates the impact of differences in accounting policies (depreciation methods);
  • ·eliminates the impact of capital structure (interest);
  • ·allows comparison of companies with different asset ages.
  • ·recurring vs one-time items (sustainability);
  • ·accruals vs cash (how much earnings are backed by cash flows);
  • ·aggressiveness of revenue recognition;
  • ·conservativeness of expense recognition.

P&L: measuring results over a period The Income Statement (Profit & Loss Statement, Statement of Operations) shows the financial results of a company’s operations over a specific period — a quarter, a year. Unlike the balance sheet (a snapshot at a date), the P&L is a flow over a period.

Structure of the Income Statement Revenue (Sales, Net Sales): monetary inflows from core operations. Recognized when control over the goods/services is transferred to the customer (IFRS 15). Net Sales = Gross Sales - Returns - Discounts - Allowances.

Cost of Goods Sold (COGS, Cost of Revenue): direct expenses for producing the goods/services sold. For a manufacturer: materials, labor, production overhead. For a retailer: purchase cost of goods. For a service company: wages of executors, direct project expenses.

Gross Profit: Revenue - COGS. Shows the profitability of the core product before operating expenses. Gross Margin = Gross Profit / Revenue — a key metric for comparing companies.

Cash Flow Statement

  • ·+ Depreciation & Amortization (add back, since no cash outflow actually took place);
  • ·+ Stock-based compensation (non-cash expense);
  • ·+/- Deferred taxes (temporary differences);
  • ·+/- Gains/Losses on asset sales (relate to investing activities).
  • ·- Increase in Accounts Receivable (sales on credit—profit exists, but no cash);
  • ·+ Decrease in Accounts Receivable (cash received from customers);
  • ·- Increase in Inventory (purchased inventory—cash outflow);
  • ·+ Increase in Accounts Payable (received goods, haven’t paid yet—“free” financing).
  • ·Cash collected from customers;
  • ·Cash paid to suppliers;
  • ·Cash paid for salaries;
  • ·Cash paid for taxes;
  • ·Capital Expenditures (CAPEX)—purchase of fixed assets, usually an outflow;
  • ·Proceeds from sale of assets—sale of fixed assets, inflow;
  • ·Acquisitions—purchase of other companies, outflow;
  • ·Purchases/Sales of investments—investing in securities.
  • ·Issuance of debt—obtaining loans, issuing bonds, inflow;
  • ·Repayment of debt—debt repayment, outflow;
  • ·Issuance of stock—stock issuance, inflow;
  • ·Share repurchases—buyback of shares, outflow;
  • ·Dividends paid—dividend payments, outflow.

Cash Flow Statement: tracking real money The Cash Flow Statement (CFS, Statement of Cash Flows) shows where cash came from and where it went during a period. Unlike the P&L, which is based on accrual accounting, the CFS shows actual cash flows—a critically important piece of information for evalu...

Why Cash Flow is important “Cash is king”—profit is not equal to cash. A company may show a profit but have negative cash flow (and vice versa). Reasons for the discrepancy: revenue recognition (sales on credit increase profit, but not cash); future period expenses (prepayments); non-cash expense...

Three sections of the Cash Flow Statement Operating Activities (CFO): cash flows from main operations—sales, operating expenses. A healthy company generates positive CFO.

Investing Activities (CFI): cash flows from investing activity—purchase/sale of fixed assets, acquisitions, investments. Growing companies usually have negative CFI (investing in development).

The Connection of the Three Financial Statements

How the Three Statements Form a Single Picture The Balance Sheet, Income Statement (P&L), and Cash Flow Statement are not isolated documents, but an interconnected system. Understanding the relationships among them is critically important for financial modeling, analysis, and valuation.

Net Income → Retained Earnings: Net income from the P&L increases retained earnings on the balance sheet (minus dividends). Retained Earnings (end) = Retained Earnings (begin) + Net Income - Dividends.

Net Income → Cash Flow Statement: Net Income is the starting point for calculating Operating Cash Flow using the indirect method. The CFS explains why profit is not equal to the change in cash.

Cash → Balance Sheet: The ending Cash on the CFS matches the Cash on the balance sheet at period end. The CFS is the “bridge” between beginning and ending Cash.

02

Key Metrics and Analysis

Key metrics and analysis

Profitability Margin Indicators

  • ·it removes the impact of accounting policies (depreciation methods);
  • ·it is comparable among companies with different asset ages;
  • ·it is often used in covenant calculations, valuation multiples.
  • ·operating efficiency (reflected in operating margin);
  • ·capital structure (interest expense);
  • ·one-time items.

Analysis of business profitability margins Profitability margins measure what share of revenue a company retains as profit at various levels. These metrics are a key tool for assessing business efficiency, comparing companies, and analyzing trends.

Gross Margin Gross Margin = Gross Profit / Revenue = (Revenue - COGS) / Revenue. Shows what share of revenue the company keeps after direct costs of producing a product/service. Interpretation: high gross margin indicates pricing power, product uniqueness, efficient production. Low gross margin—c...

Operating Margin (EBIT Margin) Operating Margin = Operating Income / Revenue = EBIT / Revenue. Shows the profitability of core operations after all operating expenses (COGS + SG&A + R&D + D&A). Operating margin reflects operational efficiency—how well the company controls expenses. Includes fixed...

EBITDA Margin EBITDA Margin = EBITDA / Revenue. EBITDA = Operating Income + Depreciation + Amortization. Profitability before accounting for non-cash expenses (D&A). EBITDA margin is popular because: EBITDA criticism: it ignores actual CAPEX requirements. A company with a high EBITDA margin but h...

Turnover and Efficiency

  • ·Benchmarking: compare turnover ratios with peers. Gaps indicate improvement opportunities.
  • ·Trend analysis: deteriorating ratios — early warning sign. DSO rising might indicate collection problems or aggressive revenue recognition.
  • ·Cash flow forecasting: CCC and NWC/Revenue are used to forecast cash needs during growth.
  • ·Management incentives: some companies include working capital metrics in management compensation to encourage efficiency.

Metrics of Asset Utilization Efficiency Turnover ratios and efficiency indicators measure how productively a company uses its assets to generate revenue. High turnover means efficient use of capital.

Asset Turnover = Revenue / Average Total Assets. Shows how many dollars of revenue are generated by each dollar of assets. The higher it is, the more efficiently assets are used. Average Total Assets = (Beginning Assets + Ending Assets) / 2. The average is used because Revenue is for the period, ...

Industry Differences: Asset-light businesses (consulting, software) have high turnover; asset-heavy (utilities, manufacturing) have low turnover. Comparisons make sense within industry.

Trade-off with Margin: Businesses with high turnover often have low margins (retail), and vice versa (luxury goods). ROA = Margin × Turnover — different paths to the same return.

Leverage and Coverage

  • ·Financial institutions—high leverage (banks 10-15x)
  • ·Utilities—moderate (stable cash flows support debt)
  • ·Tech—often low (rapid growth, no need for debt)
  • ·> 5x—comfortable coverage
  • ·2-5x—adequate

Analysis of Debt Load and Financial Risk Leverage and coverage indicators assess a company's financial risk—the ability to service debt and the probability of financial distress. These metrics are critically important for creditors, rating agencies, and investors.

Debt-to-Equity Ratio D/E = Total Debt / Total Equity. Shows how much debt there is per unit of equity. A fundamental capital structure ratio. Interpretation: high D/E—aggressive use of leverage, higher financial risk, but potentially higher returns for equity (thanks to leverage). Low D/E—conserv...

Debt-to-EBITDA Debt/EBITDA = Total Debt / EBITDA. How many years it would take to repay the debt at current EBITDA (theoretically). Key indicator for credit analysis. Interpretation: 6x—highly leveraged, speculative grade. Thresholds depend on industry stability.

Net Debt/EBITDA: (Total Debt - Cash) / EBITDA. Cash offset against debt for a more accurate picture. A company with $100M debt and $80M cash effective leverage = $20M.

Capital Return: ROA, ROE, ROIC

Return on Assets (ROA) → Return on Equity (ROE) → DuPont Analysis → Return on Invested Capital (ROIC) → Quality of Returns → Adjusted returns → Practical analysis framework

Measurement of capital efficiency Return metrics — ROA, ROE, ROIC — measure how efficiently a company uses capital to generate profit. These indicators link profitability with investment, allowing evaluation of the quality of earnings and comparison of companies with different scales.

ROA = Net Income / Average Total Assets. How much profit is generated by each dollar of assets. Measures overall efficiency of asset utilization.

Alternative formula: ROA = (Net Income + Interest × (1-Tax Rate)) / Average Total Assets. Adds after-tax interest, since assets are financed by both debt and equity. This is the unlevered return.

Decomposition: ROA = Net Margin × Asset Turnover. Profitability × efficiency. A company can achieve high ROA through high margin (luxury) or high turnover (discount retail).

Earnings Quality and Sustainability

Assessment of earnings quality and sustainability Not all profit is valued equally. Earnings quality analysis evaluates how much reported earnings reflect the real economics of the business, are sustainable over time, and are backed by cash flows. This is critically important for forecasting and ...

Recurring vs One-time Items Core earnings: recurring, sustainable earnings from main operations. One-time items: non-recurring gains/losses, restructuring charges, asset sales, litigation settlements. Normalized earnings: adjusted for one-time items. If a company shows $10M profit, but $3M is gai...

Revenue Recognition Quality Aggressive recognition: recognizing revenue before it’s earned. Red flags: revenue growing faster than cash collection (AR/Revenue rising); channel stuffing (sales to distributors at quarter end); bill-and-hold (billing before delivery). Conservative recognition: recog...

Expense Quality Capitalization vs Expensing: capitalizing expenses (recording as asset, depreciating over time) increases current earnings. Aggressive capitalization of expenses inflates earnings. Examples: software development costs (GAAP allows capitalization after technological feasibility); c...

03

Free Cash Flow

Free Cash Flow

Free Cash Flow to Firm (FCFF)

  • ·NOPAT (Net Operating Profit After Taxes): EBIT × (1 - Tax Rate). Operating profit after taxes, before financial activities. This is the cash earnings from operations.
  • ·D&A (Depreciation & Amortization): non-cash expense, added back. D&A is a tax shield (reduces taxable income), but not a real cash outflow.
  • ·CAPEX (Capital Expenditures): investments in fixed assets. Cash outflow needed to maintain and grow operations. CAPEX = Increase in Gross PP&E or from CFS.
  • ·Δ Net Working Capital: change in operating working capital (AR + Inventory - AP). Increase in NWC — cash consumed; decrease — cash released.
  • ·debt repayment,
  • ·dividend payments,
  • ·share repurchase,
  • ·accumulation of cash,
  • ·acquisitions.
  • ·when CAPEX > D&A (growth investment);
  • ·when NWC increases (growth consumes working capital).
  • ·when CAPEX < D&A (harvesting old assets);
  • ·when NWC decreases (efficiency improvement or contraction).

Free Cash Flow to Firm (FCFF) is the cash flow available to all capital providers (debt and equity) after necessary investments in operations. FCFF is a key indicator for assessing a business by the DCF method and analyzing the company's ability to generate cash. The definition and formula of FCF...

Formula from EBIT: FCFF = EBIT × (1 - Tax Rate) + D&A - CAPEX - Δ Net Working Capital. Or: FCFF = NOPAT + D&A - CAPEX - ΔNWC.

Formula from CFO: FCFF = CFO + Interest × (1 - Tax Rate) - CAPEX. CFO already includes NWC changes, we add after-tax interest (since interest is deducted in CFO).

Interpretation of FCFF Positive FCFF: the company generates cash in excess of reinvestment needs. This cash can be used for:

Free Cash Flow to Equity (FCFE) and Cash Conversion

Free Cash Flow to Equity (FCFE) — the cash flow available to shareholders after all operating and financing obligations. FCFE is the basis for dividend capacity and equity valuation. Cash conversion shows how efficiently earnings are converted into cash.

Logic: we start with CFO (cash from operations after interest), subtract CAPEX (maintenance of asset base), add net borrowing (debt proceeds minus repayments). The result is cash for equity holders.

CFO: cash generated from operations, already after interest expense (unlike FCFF calculations). CFO accounts for taxes actually paid.

CAPEX: same as for FCFF — investment in fixed assets. Required for sustaining business.

04

Time Value of Money

Time value of money

Basics of the Time Value of Money

Fundamental Concepts of TVM → Future Value (FV) → Present Value (PV) → Compounding Frequency → Discount Factor → Timeline Approach → Rule of 72 → Implications for Investing → TVM in Corporate Finance

Definitions

Example
$1,000 at 10% annual interest for 3 years.

Why Money Has a Time Value

  • ·Opportunity cost: Money today can be invested to earn a return. Delayed receipt means foregone income.
  • ·Inflation: The purchasing power of money decreases over time. $100 today will buy more than $100 in a year.
  • ·Risk: Future money is less certain than money today. Uncertainty requires compensation.
  • ·Consumption preference: People prefer to consume sooner rather than later. Deferred consumption requires a reward (interest).
  • ·Simple interest formula:
  • ·Compound interest formula:
  • ·Discounting: Bringing future money to today's value.
  • ·Discount rate ($r$): Reflects opportunity cost, risk, time preference.
  • ·Annual compounding: Interest is credited once per year.
  • ·Semi-annual: Twice per year.
  • ·Quarterly: Four times a year.
  • ·Continuous compounding: Interest is credited infinitely often.
  • ·Effective Annual Rate (EAR): The actual annual yield considering compounding.
  • ·The multiplier to convert FV to PV.
  • ·The discount factor is always less than one.
  • ·Time 0 — today.
  • ·Positive cash flows go up, negative go down.
  • ·At 8% — about 9 years.
  • ·At 12% — about 6 years.
  • ·Power of compounding: Small differences in the rate dramatically affect long-term results.
  • ·Early investing: Starting earlier is more important than investing more later.
  • ·Cost of delay: Delayed investing has an opportunity cost.
  • ·Capital budgeting: Project evaluation via NPV (discounting future cash flows).
  • ·Valuation: DCF company valuation — discounting expected free cash flows.
  • ·Bond pricing: $ PV $ of coupon payments and principal = bond price.
  • ·Lease vs buy: Comparison of PV cash outflows for alternatives.

Time Value of Money (TVM) is the concept that money today is worth more than the same amount in the future. This is a fundamental principle of finance that underpins all investment decisions, valuation, and financial planning.

Future Value is the value of a present amount at a future date at a given rate of return.

$ FV = PV \times (1 + r \times n) $. Where $ PV $ is present value, $ r $ is the rate per period, $ n $ is the number of periods. Interest is accrued only on the principal. $ FV = PV \times (1 + r)^n $. Interest is accrued on principal plus accumulated interest. Compounding is a more realistic mo...

Example: $1,000 at 10% annual interest for 3 years. Simple: $ FV = 1000 \times (1 + 0.10 \times 3) = \$1,300 $. Compound: $ FV = 1000 \times (1.10)^3 = \$1,331 $.

Annuities and Perpetuity

Ordinary Annuity → Annuity Due → Perpetuity → Growing Perpetuity → Growing Annuity → Loan Amortization → Applications in Corporate Finance → Deferred Annuities → Calculator and Spreadsheet Tips

Standard cash flows Annuities (series of equal payments) and perpetuities (infinite flows) are standard cash flow patterns with simple calculation formulas. They simplify calculations for loans, pensions, valuation, and many financial instruments.

Ordinary annuity: a series of equal payments at the end of each period. The most common type (loans, bonds with fixed coupon).

Present Value: $PV = PMT \times \left[ \frac{1 - (1+r)^{-n}}{r} \right]$. Where PMT is payment per period, r is the rate per period, n is the number of periods.

Future Value: $FV = PMT \times \left[ \frac{(1+r)^n - 1}{r} \right]$. The accumulated sum at the end of n periods.

NPV and IRR

NPV and IRR → NPV → Internal Rate of Return (IRR) → NPV vs IRR: when they agree → NPV vs IRR: when they diverge → Multiple IRRs → Modified IRR (MIRR) → Crossover rate → NPV profile → Practical recommendations

The investment decision criteria Net Present Value (NPV) and Internal Rate of Return (IRR) are the two main criteria for evaluating investment projects. They help answer the question: does the project create value and is it worth investing in? Net Present Value (NPV) NPV is the sum of the present...

NPV as value creation: NPV shows in dollars how much value the project creates. NPV = $1M means a wealth increase of $1M in today's dollars.

Project: invest $100,000 today, receive $30,000 per year for 5 years. Required return is 12%.

NPV = -100,000 + 30,000/(1.12) + 30,000/(1.12)² + 30,000/(1.12)³ + 30,000/(1.12)⁴ + 30,000/(1.12)⁵ = -100,000 + 108,143 = $8,143.

05

Cost of Capital and Capital Structure

Cost of capital and capital structure

Cost of Equity and CAPM

Cost of Equity and CAPM

Alternative Approaches

  • ·Build-up method: $Rf + ERP +$ Size premium $+$ Company-specific risk. For private companies without tradable beta.
  • ·Dividend Growth Model (DDM): $P = \dfrac{D_1}{Re-g}$, solve for $Re = \dfrac{D_1}{P} + g$. Works if dividends are stable, growth is predictable.
  • ·Bond yield plus risk premium: $Re = \text{company's bond yield} +$ equity premium (3-5%). Simple approximation.

Practical Considerations

  • ·Sensitivity: small changes in assumptions ($Rf$, ERP, beta) significantly impact the cost of equity and valuation.
  • ·Cross-check: compare estimated cost of equity to industry norms, company’s historical returns, alternative methods.
  • ·Document assumptions: clearly state $Rf$, ERP, beta source/methodology. Enables reviewers to assess and challenge.

Definition of required return on equity Cost of Equity — the return required by shareholders for investing in a company. This is the opportunity cost of capital and a critical input for WACC and valuation. CAPM is the dominant model for estimating the cost of equity.

Required return: shareholders require a return compensating for the risk of investment. Higher risk — higher required return. Cost of equity is the minimum return a company must earn to satisfy equity investors.

Opportunity cost: investors can invest elsewhere. Cost of equity reflects the return of alternative investments of comparable risk.

Not directly observable: Unlike the cost of debt (coupon rate, yield), the cost of equity is not directly observable. Estimation is required.

WACC and Capital Structure

06

Dividend Policy and Payout Policy

Dividend policy and payout policy

Dividends and Forms of Capital Return

  • ·Declaration date (announcement)
  • ·Ex-dividend date (buyer after this date does not receive the dividend)
  • ·Record date (determines recipients)
  • ·Payment date (payment)

Dividend policy determines what portion of profits a company pays out to shareholders vs reinvests in the business. Forms of capital return include cash dividends, stock repurchases, and special dividends. Optimal policy is a balance between satisfying investor preferences and maintaining growth ...

Regular dividends: periodic (quarterly in the US, semi-annual in Europe) payments to shareholders. Stable dividends signal financial health and management confidence.

Dividend Per Share (DPS): the declared dividend per share. Total dividend = DPS × Shares Outstanding.

Dividend yield: Annual DPS / Stock Price. Shows return from dividends. High yield stocks attract income-oriented investors.

Theories of Dividend Policy

07

Business Valuation: DCF

Business valuation: DCF

DCF Model: Logic and Structure

  • ·Gordon Growth Model (perpetuity formula)
  • ·Exit Multiple approach
  • ·Fundamental: based on cash generation ability, not market sentiment or accounting policies.
  • ·Flexible: can incorporate detailed projections, scenarios, sensitivities.
  • ·Forward-looking: values future potential, not just current state.
  • ·Sensitive to assumptions: small changes in growth, margin, WACC → large value changes. Terminal value particularly sensitive.
  • ·"Garbage in, garbage out": quality depends on forecast quality. Biased forecasts → biased valuation.
  • ·Not useful for: early-stage companies with negative cash flows and no visibility, distressed companies, companies undergoing significant changes.
  • ·Sensitivity analysis: test key assumptions (growth, margin, WACC). Present range of values, not a single point.
  • ·Scenario analysis: base case, bull case, bear case. Weight scenarios for expected value.
  • ·Cross-check: compare DCF to trading multiples, transaction comps. Large discrepancy warrants investigation.
  • ·Document assumptions: transparent about inputs. Allows challenge and refinement.

Discounted Cash Flow as the basis of valuation Discounted Cash Flow (DCF) is a fundamental approach to business valuation based on the principle that a company’s value equals the present value of its future cash flows. DCF is the "first principle" of valuation, from which other methods are derived.

Logic of DCF Intrinsic value: DCF estimates intrinsic value—what a company is really worth based on its cash-generating ability. In contrast to market value (current price) or book value (accounting). Present value: future cash flows are discounted to today. $1 today > $1 tomorrow due to opportun...

Two DCF Approaches FCFF/WACC approach: discount Free Cash Flow to Firm at WACC → Enterprise Value. Then subtract Net Debt → Equity Value. Most common approach. FCFE/Cost of Equity approach: discount Free Cash Flow to Equity at Cost of Equity → Equity Value directly. Equivalent result if consisten...

Consistency critical: FCFF (for all capital providers) with WACC (cost of all capital). FCFE (for equity) with Cost of Equity. Mixing is error.

Terminal Value and Scenario Analysis

Critical elements of the DCF model Terminal Value often constitutes 60–80% of total DCF value, making assumptions about the terminal period critically important. Scenario analysis and sensitivity testing are essential tools for understanding the range of outcomes and managing DCF uncertainty.

Terminal Value: Deep Analysis Steady state assumption: TV assumes that by the end of the forecast period the company reaches a mature, sustainable state. Growth stabilizes, margins normalize, reinvestment equals what's needed to grow at the terminal rate.

Terminal growth rate: $g$ must be ≤ economy's long-term growth. If a company grows faster than the economy forever, eventually it becomes more than 100% of GDP — impossible. Practical range: 0–3% for developed markets.

Terminal margins: should reflect a sustainable level. Not peak or trough. Industry averages and competitive dynamics inform judgment.

WACC: Cost of Capital and Discount Rate

  • ·Using book weights instead of market weights.
  • ·Confusing WACC with cost of debt.
  • ·Incorrect tax shield.
  • ·Circular reference: resolved by iteration or target D/E.

WACC as the discount rate in DCF Weighted Average Cost of Capital (WACC) is the weighted average cost of a company's capital, used as the discount rate in the DCF model. WACC reflects the required return for all capital providers, considering their share in the financing structure.

Formula for WACC WACC = (E/V) × Re + (D/V) × Rd × (1 - T), where: E — market value of equity; D — market value of debt; V = E + D — total capital value; Re — cost of equity; Rd — cost of debt (before taxes); T — corporate income tax rate.

Tax Shield: Interest payments on debt are deducted from the tax base, so the effective cost of debt = Rd × (1 - T).

Cost of Equity (Re) CAPM model: Re = Rf + β × (Rm - Rf), where Rf — risk-free rate, β — systematic risk of the stock relative to the market, (Rm - Rf) — equity risk premium (ERP).

08

Business Valuation: Multiples

Business valuation: multiples

Equity and Enterprise Multiples

Relative valuation: logic and multiples Multiples — the foundation of relative valuation: comparing a company with comparable peers through standardized ratios. Faster and simpler than DCF, but requires careful selection of comparables and understanding what multiples reflect. Logic of relative v...

Equity vs Enterprise multiples Equity multiples: use equity value (market cap) in the numerator, equity-based metric in the denominator. Examples: P/E, P/B. Enterprise multiples: use Enterprise Value (Equity + Debt - Cash) in the numerator, firm-wide metric in the denominator. Examples: EV/EBITDA...

Price-to-Earnings (P/E) P/E = Stock Price / EPS = Market Cap / Net Income. How much investors pay per dollar of earnings. Trailing P/E: based on last 12 months’ earnings. Backward-looking. Forward P/E: based on next year’s estimated earnings. More relevant for valuation. Interpretation: higher P/...

Price-to-Book (P/B) P/B = Stock Price / Book Value per Share = Market Cap / Shareholders' Equity. Market value relative to accounting value. Interpretation: P/B > 1 — market values the company above book (intangibles, growth). P/B Useful for: asset-heavy businesses (banks, real estate). Less usef...

Comparable Companies and the Application of Multiples

  • ·Industry: same industry or sub-sector. A consumer staples company should not be compared to tech.
  • ·Business model: similar operations. A retailer vs e-commerce, even if both are “retail”, may differ significantly.
  • ·Size: similar market cap, revenue. Large caps trade differently than small caps.
  • ·Geography: same or similar markets. An emerging market company vs developed market — different risk profiles.
  • ·Growth profile: growth companies vs mature. High-growth deserves a higher multiple.
  • ·Profitability: similar margins. A low-margin company shouldn't trade at the same EV/Sales as a high-margin one.
  • ·Industry classification: GICS (Global Industry Classification Standard), SIC codes. Starting point for peer identification.
  • ·Company filings: management often identifies competitors in 10-K. Useful starting point.
  • ·Equity research: analysts cover peer groups. Research reports list comparables.
  • ·Judgment: no perfect match. Use judgment to select the most similar companies.
  • ·LTM (Last Twelve Months): trailing financials. Actual, reported data.
  • ·NTM (Next Twelve Months): forward estimates. Consensus analyst forecasts.
  • ·Calendarization: align fiscal years if comparables have different fiscal year ends.
  • ·Range: min, max, median, mean of peer multiples. Shows spread in valuations.
  • ·Median preferred: less affected by outliers than mean. A single extreme value doesn't skew.
  • ·Outlier investigation: why is one peer trading at a very different multiple? Unique factor, or error?
  • ·Select appropriate multiple: median, mean, or specific peer if very similar.
  • ·Apply to target's metrics: Target Value = Target Metric × Comparable Multiple.
  • ·Growth adjustment: if target grows faster than peers, it deserves a premium. Use PEG ratio (P/E / Growth) for comparison.
  • ·Margin adjustment: higher margin → higher multiple. Regression analysis can quantify the relationship.
  • ·Risk adjustment: higher risk → lower multiple. Consider leverage, business risk, geographic exposure.
  • ·Size adjustment: smaller companies often trade at a discount (liquidity, risk). Apply a small-cap discount if appropriate.
  • ·Present range: don’t rely on a single point estimate. Use the 25th-75th percentile of comps for a value range.
  • ·Football field: visual showing valuation ranges from different methods (comps, DCF, transactions). Consensus where ranges overlap.
  • ·Wrong comparables: selecting peers that aren’t really similar. “Tech” is broad — SaaS vs hardware very different.
  • ·Ignoring differences: applying the median without adjusting for growth, margin, risk differences.
  • ·Circular reasoning: if the market is overvalued, comps will give an inflated value. Comps reflect market, not intrinsic value.
  • ·One-time items: using reported instead of normalized metrics distorts comparison.
  • ·Adjust EBITDA: for one-time items, non-recurring costs. Use “adjusted EBITDA” if disclosed.
  • ·Stock-based compensation: material for tech. Include or exclude consistently across peers.
  • ·Acquisitions: recent acquirers may have depressed earnings. Normalize for integration costs.
  • ·Similar analysis using M&A transactions instead of trading multiples. What acquirers paid for similar companies.
  • ·Premium: transaction multiples typically higher than trading (control premium).
  • ·Compare to trading with awareness of premium.
  • ·Limitations: transactions may be dated, different market conditions. Smaller sample than trading comps.
  • ·Cross-check: DCF and comps should give similar values if assumptions are consistent. Divergence signals issues.
  • ·If DCF >> Comps: DCF assumptions too optimistic? Or is the market undervaluing peers?
  • ·Triangulation: use both methods, understand differences, form a balanced view.

Comparable Companies Analysis (Comps) — comparable companies analysis is the evaluation of a target company by comparing it with publicly traded peers. Selecting appropriate comparables and adjusting for differences are critical skills for accurate relative valuation.

Calculating Peer Multiples For each comparable: calculate the chosen multiples (P/E, EV/EBITDA, etc.) using the current price and relevant financials.

Example: Peers trade at median 10x EV/EBITDA. Target EBITDA = $50M. Target EV = $50M × 10 = $500M. Equity value: EV - Net Debt + Cash = Equity Value. Divide by shares = per share.

09

Special Topics in Valuation

Special topics in valuation

Valuation of High-Growth and Early-Stage Companies

Valuation challenges for high-growth and early-stage companies Traditional valuation methods (DCF, multiples) are difficult to apply to companies with negative earnings, high uncertainty, and exponential growth. Adapted approaches and additional metrics are required.

Challenges of young companies Negative earnings: P/E is not applicable. Even EBITDA may be negative. Traditional profit-based metrics do not work. High uncertainty: the future is highly unpredictable. Wide range of outcomes — from success to failure. Terminal value assumptions are particularly fr...

Revenue-based valuation When earnings are negative, focus shifts to revenue: EV/Revenue, Price/Sales. Premise: revenue will eventually convert to profit. Revenue quality matters: recurring revenue (SaaS subscriptions) is more valuable than one-time sales. Net Revenue Retention (NRR) shows custome...

Unit economics approach For companies with nascent or negative profitability, unit economics demonstrate potential profitability at scale.

Premiums and Discounts in Valuation

  • ·Control, marketable: 100% ownership of a public company. Highest value—full control plus liquidity.
  • ·Minority, marketable: small stake in a public company. Trading price reflects this. No control, but liquid.
  • ·Control, non-marketable: 100% ownership of a private company. Has control, but can't easily sell.
  • ·Minority, non-marketable: small stake in a private company. No control, no liquidity. Lowest relative value.
  • ·Restricted stock studies: compare the price of restricted (can't trade) vs registered shares. The difference is the marketability discount.
  • ·Pre-IPO studies: compare private transaction prices to subsequent IPO price. Private trades at a discount.
  • ·Put option models: treat illiquidity as the cost of a protective put (right to sell at fair value). Option cost estimates the discount.
  • ·Cost synergies (eliminate duplicates)
  • ·Revenue synergies (cross-selling)

Control premiums, minority discounts and illiquidity adjustments A company's value depends not only on intrinsic value, but also on the nature of ownership—controlling vs minority stake, liquidity. Premiums and discounts adjust value for a specific ownership context.

Control premium Control premium: excess value for a controlling stake over a minority stake. The buyer pays more for control.

Sources of control value: ability to determine strategy, management, capital allocation; synergies with buyer's business; access to 100% of cash flows (vs pro-rata dividends).

Measuring premium: in M&A, compare the offer price to the pre-announcement trading price. The difference equals the premium paid.

Valuation of Cyclical Businesses and M&A Synergies

Valuation of Special Situations Cyclical businesses and M&A transactions require adapted approaches to valuation. Cyclicality distorts traditional metrics, and synergy valuation includes significant uncertainty. Correct techniques are essential for accurate valuation.

Cyclical businesses Characteristics: earnings fluctuate with economic cycles. Peak earnings occur during boom periods, losses or minimal profits during recessions. Industries: autos, steel, chemicals, construction, airlines.

Valuation challenge: using current (peak or trough) earnings is misleading. P/E at peak looks cheap (high E), but E will fall. At trough looks expensive (low E), but E will recover.

Mid-cycle earnings Concept: estimate “normal” earnings — what the company earns at the average point in the cycle. Neither boom nor bust.

10

Current Topics in Corporate Finance

Current topics in corporate finance

SPAC and Direct Listing

SPAC: Structure and Mechanics → SPAC vs Traditional IPO → Economics of the SPAC Deal → Direct Listing → Comparison of Paths to Listing → Recommendations for Companies

CriterionTraditional IPOSPACDirect Listing
Speed12–18 months3–6 months6–9 months
Price certaintyLowHighLow
Capital raisingYesYesOptional
DilutionIPO discountFounder shares + warrantsMinimal
Costs7% underwritingSponsor promote + feesMinimal
  • ·Sponsor (initiator) creates the SPAC and receives founder shares (usually 20% of the capital).
  • ·IPO: The SPAC raises money from public investors by placing units (share + warrant).
  • ·Trust account — IPO funds are held in a trust until the deal is completed.
  • ·Target search — The SPAC typically has 18–24 months to search for a merger target (de-SPAC).
  • ·Redemption right — SPAC investors can redeem their shares if they disagree with the deal.
  • ·Speed (3–6 months vs 12–18 for IPO),
  • ·Price certainty (the price is fixed in the deal, not dependent on market conditions at the day of pricing),
  • ·Ability to present projections (SPAC allows forward-looking statements, which are prohibited in IPO),
  • ·Sponsor expertise (an experienced sponsor can add value).
  • ·Dilution from founder shares (20%) and warrants,
  • ·High redemption rates can leave the company without capital,
  • ·Complex deal structure,
  • ·Regulatory attention (the SEC increased scrutiny following the boom of 2020–2021),
  • ·Reputation risk in case of failure.
  • ·Trust (money from the IPO, minus redemptions),
  • ·PIPE (Private Investment in Public Equity — additional placement to institutional investors),
  • ·Rollover equity from target shareholders.
  • ·No underwriters,
  • ·No roadshow,
  • ·No lock-up periods for insiders.
  • ·Saving on underwriting fees (7% of IPO proceeds),
  • ·No dilution from the IPO discount,
  • ·Equal access for all investors (no privileged allocations),
  • ·No lock-up allows early investors to exit immediately.
  • ·No guaranteed capital raise (although primary listings solve this),
  • ·No price stabilization from underwriters,
  • ·Suitable only for already known companies with a strong brand.

For a long time, the traditional IPO was the only path for a company to enter the public market. However, over the past decade, alternatives have emerged—Special Purpose Acquisition Companies (SPAC) and Direct Listings. These instruments have changed the landscape of capital markets, offering com...

A SPAC (Special Purpose Acquisition Company) is a “shell company” that conducts its own IPO for one purpose only: raising capital to subsequently acquire a private company. After the merger, the target company becomes public, bypassing the traditional IPO process.

Founder shares create misalignment: the sponsor is motivated to close any deal, even a bad one, in order to keep their 20%. This is an agency problem—a key risk for investors.

Direct Listing is when a company enters the exchange without raising new capital. Existing shareholders simply gain the ability to sell their shares publicly. Spotify (2018) and Slack (2019) were the first high-profile direct listings.

Venture Financing and Private Equity

Private equity and venture capital represent an alternative model for financing companies at different stages of their development. Understanding deal structure, fund economics, and the nuances of each capital type is critically important for both entrepreneurs seeking funding and financial profe...

Pre-seed and Seed: the earliest investments in an idea or prototype. Size: $100K - $2M. Investors: angel investors, pre-seed funds, accelerators. Valuation: $1M - $10M pre-money. Characteristics: extremely high risk, minimal revenue, product-market fit not yet proven.

Series A: the first institutional round. Size: $5M - $15M. Investors: VC funds. Valuation: $15M - $40M. Characteristics: initial product-market fit, early revenue traction, team is forming.

Series B and beyond: growth financing for scaling. The size increases exponentially ($20M - $100M+). Investors: growth equity funds, crossover investors. Valuation: $50M - $500M+. Characteristics: proven business model, aggressive growth, path to profitability.

Cryptographic Tokens and ICO/IEO

  • ·Total supply—the total number of tokens (fixed vs inflationary).
  • ·Circulating supply—tokens in circulation on the market.
  • ·Vesting schedules—how tokens for founders, investors, team are unlocked over time.
  • ·Token burns—mechanisms to reduce supply.
  • ·Utility—what function the token performs in the ecosystem.
  • ·Value accrual mechanisms: how does the token capture value? Fee revenue distribution (similar to dividends), buyback & burn (similar to buybacks), staking rewards, governance rights.
  • ·Network Value to Transactions (NVT)—analogous to P/S for blockchains.
  • ·Fully Diluted Valuation (FDV)—market cap if all tokens are in circulation.
  • ·Comparable analysis—multiples from revenue/users for similar protocols.
  • ·DCF—for tokens with clear cash flows (DeFi protocols with fees).
  • ·Team—background, track record, doxxed vs anonymous.
  • ·Technology—smart contract audit, security incidents history.
  • ·Tokenomics—sustainable? or Ponzi-like?
  • ·Regulatory—securities classification risk?
  • ·Community—organic or fake?
  • ·Adoption—real users or wash trading?

Cryptographic tokens and new models of blockchain technology financing have created new instruments for capital raising—tokens, ICO, IEO, and tokenomics. These mechanisms represent a radical departure from traditional models of corporate financing, simultaneously creating unique opportunities and...

Security tokens: digital representations of traditional securities—stocks, bonds, shares in funds. Subject to securities regulation (SEC in the US, equivalents in other jurisdictions). Examples: tokenized equity, tokenized real estate, security token offerings (STO).

Utility tokens: provide access to the product or service in the project ecosystem. Not de jure investments, though often traded speculatively. Examples: tokens for payment for platform services, governance tokens.

Governance tokens: grant voting rights in the management of a decentralized protocol. DeFi protocols (Uniswap, Aave, Compound) issue governance tokens for decentralization of decision-making. Economic value—claims on future protocol cash flows (fees).

Corporate Governance and ESG Metrics

Board of Directors Structure → Executive Compensation → Shareholder Rights → ESG Framework in Governance → Integrated Reporting → Governance Failures and Red Flags → Impact of Governance on Valuation

  • ·Independence — the share of independent directors (best practice 50%+). An independent director has no material relationship with the company.
  • ·Separation of Chair and CEO — division of roles for checks and balances.
  • ·Diversity — gender, ethnic, and professional diversity improve decision-making.
  • ·Expertise — industry, financial, and technology expertise.
  • ·Board refreshment — regular renewal of the board, term limits.
  • ·Audit Committee — oversight of financial reporting, internal controls, external audit. 100% independent.
  • ·Compensation Committee — executive pay, equity plans. Independent.
  • ·Nomination/Governance Committee — board composition, succession planning.
  • ·Risk Committee — enterprise risk management (especially in financial institutions).
  • ·Base salary (fixed part, usually minority),
  • ·Annual bonus (linked to annual performance metrics),
  • ·Long-term incentives (stock options, restricted stock, performance shares),
  • ·Perquisites and benefits.
  • ·Financial — EPS growth, revenue, ROIC, TSR.
  • ·Operational — market share, customer satisfaction.
  • ·Strategic — M&A integration, new product launches.
  • ·ESG — climate targets, safety metrics, diversity goals (growing trend).
  • ·Voting — one share, one vote (vs dual-class structures).
  • ·Proxy access — right to nominate directors in the company’s proxy materials.
  • ·Special meetings — right to convene extraordinary meetings.
  • ·Written consent — right to act without a meeting.
  • ·Board structure and independence,
  • ·Executive compensation alignment,
  • ·Shareholder rights,
  • ·Business ethics and anti-corruption,
  • ·Risk management,
  • ·Tax transparency.
  • ·GRI (Global Reporting Initiative),
  • ·SASB (Sustainability Accounting Standards Board),
  • ·TCFD (Task Force on Climate-related Financial Disclosures),
  • ·ISSB (International Sustainability Standards Board) — new global standard.
  • ·Enron — weak board oversight, conflicts of interest, accounting fraud.
  • ·Theranos — founder control, celebrity board without expertise, lack of scientific scrutiny.
  • ·WeWork — dual-class stock, related-party transactions, cult of personality.
  • ·Wirecard — audit failures, regulatory capture, fake cash.
  • ·Dual-class stock with disproportionate founder voting power,
  • ·Related-party transactions,
  • ·Unusual auditor changes,
  • ·Compensation not linked to performance,
  • ·Lack of board independence,
  • ·Aggressive accounting,
  • ·Weak internal controls,
  • ·Management conflicts of interest.
  • ·Lower cost of capital (investors demand less risk premium),
  • ·Higher valuations (governance premium),
  • ·Better operational performance,
  • ·Lower likelihood of fraud and scandals,
  • ·More sustainable long-term returns.

Corporate Governance and ESG Metrics Corporate governance is a system of relationships between management, the board of directors, shareholders, and other stakeholders. The quality of governance directly affects a company’s value, cost of capital, and long-term business sustainability. ESG metric...

OECD Principles of Corporate Governance define basic standards: shareholder rights (voting, dividends, information), fair treatment of all shareholders (minority rights), the role of stakeholders (employees, creditors, communities), disclosure and transparency, board responsibility.

Agency problem is the central issue of governance: the interests of management (agents) can diverge from the interests of shareholders (principals). Alignment mechanisms include: compensation linked to performance; oversight by the board; market for corporate control (takeover threat).

Say-on-pay votes give shareholders an advisory vote on compensation. High dissent is a red flag.

11

M&A and Deal Structuring

M&A and deal structuring

Logic and Types of M&A

Mergers and Acquisitions (M&A) are one of the key tools of corporate strategy, allowing companies to rapidly scale up, enter new markets, obtain technologies and talents. The global volume of M&A amounts to $3–5 trillion annually. Understanding the logic of M&A, types of deals, and participant mo...

Types of deals. Merger is the combination of two companies into one: the assets and liabilities of both legal entities are transferred into a single entity. Stock-for-stock merger: shareholders of one company receive shares of the other. Acquisition is when one company buys another entirely or a ...

Classification by direction. Horizontal M&A: deals between competitors (Boeing/McDonnell Douglas, ExxonMobil/Mobil). Purpose: achieving synergies, increasing market share, eliminating a competitor. Regulatory risk: antitrust control. Vertical M&A: integration up or down the value chain (Amazon/Wh...

Motives of M&A. Strategic motives: geographic expansion, acquisition of new products/technologies, entry into new markets, elimination of a competitor. Financial motives: synergies (cost savings, revenue growth), tax advantages (tax shields from debt in LBO, use of NOL — net operating losses from...

M&A Process: Due Diligence and Deal Structure

The M&A deal process is a complex multi-stage procedure, requiring coordination between investment banks, legal consultants, financial advisors, and the management teams of both sides. A typical large M&A transaction takes from 3 to 12 months. Understanding the process is critical for both consul...

Phases of the M&A process. Phase 1 — Strategy and Preparation: determination of strategic goals, selection of criteria for the target company, development of a financial model, selection of an investment bank advisor, internal approval by the board of directors. Phase 2 — Search and Initial Conta...

Due Diligence (DD) — comprehensive company review prior to the transaction. Financial DD: analysis of financial statements (historical and projected), quality of earnings (QofE — identification of normalized EBITDA, exclusion of one-time items), working capital analysis, debt-like items. Legal DD...

Deal structuring. Share purchase vs Asset purchase: share purchase — the buyer acquires the entire company, including all liabilities and risks (simpler, but you accept all historical risk); asset purchase — selective acquisition of assets (more complex, but unwanted liabilities can be excluded)....

Leveraged Buyout (LBO): Model and Metrics

Leveraged Buyout (LBO) — the acquisition of a company using significant debt financing, where the collateral is the assets and cash flows of the acquired company itself. LBO is the principal strategy of Private Equity funds. A typical LBO structure: 60-75% debt (bank loans, high yield bonds), 25-...

Ideal LBO Target. Criteria that make a company attractive for an LBO: stable and predictable cash flows (high FCF for servicing debt), protected market position (pricing power), low capital expenditures (asset-light or moderate capex), potential for improvement of operational efficiency (operatio...

LBO Model: Key Blocks. Sources and Uses: sources of financing (debt tranches + equity) equal uses (purchase price + fees + refinancing existing debt). Financial projections: forecast P&L (revenue, EBITDA, D&A, EBIT), Balance Sheet, Cash Flow Statement for 5 years. Debt schedule: calculation of de...

Key LBO Metrics. Entry Multiple: EV/EBITDA at purchase (typically 7-12x depending on sector and period). Exit Multiple: EV/EBITDA at sale (assumption of comparable or higher multiple). IRR (Internal Rate of Return): target return for PE funds — 20-25% per year. MOIC (Multiple on Invested Capital)...

Synergies, Integration, and PMI

Synergies are the additional value created by combining two companies beyond the sum of their independent values. It is precisely the expectation of synergies that justifies the premium in M&A (the control premium is usually 20–40% above the market price). However, practice shows that synergies a...

Types of synergies. Revenue synergies: cross-selling of the combined company's products to clients of both parties, entering new geographic markets, expansion of the product line, pricing power in the market (if horizontal M&A). Revenue synergies are usually harder to realize and require more tim...

Synergy assessment. The run-rate principle: synergies are evaluated as an annual effect (“run-rate”), achieved after the integration period. Phasing: the realization of synergies is broken down by year—the first year 30%, the second year 70%, the third year 100% run-rate. Costs to achieve: achiev...

Post-Merger Integration (PMI) is the process of combining two companies after deal closure. Integration Management Office (IMO): a dedicated team for coordinating the integration. Key workstreams: IT integration (ERP, CRM systems), organizational structure (restructuring, elimination of duplicati...

Valuation in M&A and Control Premium

Valuation is the central issue in any M&A deal: how much is the target company worth and how much is the buyer willing to pay? In the M&A context, valuation is supplemented by specific concepts — the control premium, synergy value, and the bridge to equity value.

Valuation methods in M&A. DCF (Discounted Cash Flow): the standard method for determining value based on discounting future FCF. In M&A, DCF includes standalone value (the value without synergies) and synergy DCF (the NPV of synergies). The WACC for the target is calculated based on market data (...

Control premium — an add-on to the market price of shares for obtaining control over the company. Historically: the control premium in M&A is 20-40% above the unaffected share price (unaffected share price — the price before announcement). Sources of the control premium: synergies (the buyer shar...

Premium Analysis. Unaffected price — the share price before any leak of deal information (usually the price 30-60 days before the announcement). Premium to 52-week high — how much the deal pays relative to the annual high. Intrinsic value vs Offer Price — comparison to independent analyst valuation.

12

Financial Modeling

Financial modeling

Financial Model Architecture

A financial model is a quantitative tool that reflects the financial reality of a business and enables informed decision-making. A professional financial model is used in company valuation (M&A, IPO, LBO), business planning, fundraising, and strategic analysis. The quality of a financial model de...

Principles of model architecture. Separation of inputs, calculations, and outputs: all input data (assumptions) must be in a separate block/sheet with clear labeling. Calculations—in separate blocks. Output data—in final tables and charts. Color coding: Excel standard—blue for hardcoded inputs, b...

Sheets in a financial model. Income Statement (P&L): Revenue → Gross Profit → EBITDA → EBIT → EBT → Net Income. Every row must be calculated or linked to assumptions. Balance Sheet: Assets (Current: Cash, AR, Inventory; Non-Current: PP&E, Intangibles) = Liabilities (Current: AP, Short-term debt; ...

Working Capital Schedule. Working Capital = Current Assets (excluding Cash) − Current Liabilities (excluding Debt). Key metrics: DSO (Days Sales Outstanding) = AR/Revenue × 365; DIO (Days Inventory Outstanding) = Inventory/COGS × 365; DPO (Days Payable Outstanding) = AP/COGS × 365. Cash Conversio...

DCF Step by Step: From Assumptions to Value

The discounted cash flow (DCF) method is a fundamental approach to business valuation, based on the principle of the time value of money: an asset is worth the sum of its future cash flows, discounted at a rate that reflects its risk. DCF makes it possible to determine the intrinsic value—that is...

Step 1: Forecast Free Cash Flow. FCF (Free Cash Flow to the Firm, FCFF) = EBIT × (1 − Tax Rate) + D&A − Capex − ΔWorking Capital. This is the cash flow available to all investors (both creditors and shareholders) before accounting for debt. Forecast period: typically 5–10 years, until the busines...

Step 2: Terminal Value. After the forecast period, the business continues to exist. Terminal Value reflects the value of all FCF after the forecast period. Two methods: Gordon Growth Model (Perpetuity Growth): TV = FCF₍n+1₎ / (WACC − g), where g is the long-term growth rate (usually 1–3%, corresp...

Step 3: WACC Calculation. WACC = Kd × (1−T) × D/V + Ke × E/V. Kd (cost of debt) = yield to maturity of the company’s debt obligations. Ke (cost of equity) = Rf + β × (ERP): Rf is the risk-free rate (yield on 10-year government bonds), β is market risk (levered beta = unlevered beta × [1 + (1−T) ×...

Scenario Analysis and Sensitivity Tables

Financial modeling is not limited to building a single “base case” forecast. The future is uncertain, and key assumptions can differ significantly from realized figures. Scenario analysis and sensitivity analysis make it possible to understand how uncertainty in key assumptions affects output ind...

Sensitivity Analysis. One-dimensional analysis: how the target metric (for example, EV or share price) changes when one assumption is altered, with all others remaining constant. Example: a table showing the dependence of Equity Value on WACC (rows) and Terminal Growth Rate (columns). Two-dimensi...

Scenario Analysis. Unlike sensitivity analysis (varying one factor while holding others constant), scenario analysis simultaneously changes several interrelated assumptions. Base Case: the most probable scenario. Bull/Upside Case: optimistic assumptions (high revenue growth, margin improvement, l...

Monte Carlo Simulation — an advanced method: instead of discrete scenarios, a probability distribution is specified for each key assumption (revenue growth — normal distribution with a mean of 5% and a standard deviation of 3%). The model is run 10,000 times with random combinations. Result: the ...

Waterfall Structures and IRR in Projects

Waterfall (cascade structure) of cash flow distribution is a mechanism that determines the order and conditions of revenue allocation from investments among various classes of investors. Waterfall is used in Private Equity, real estate, project finance, and structured products. Understanding the ...

Basic Concepts. Return of Capital (RoC): investors first receive back their invested capital. Preferred Return (Hurdle Rate): preferred investors (for example, LPs in a PE fund) receive a minimum return (usually 6-8% per year) before the GP begins to participate in the profits. Catch-up: after re...

PE Waterfall. European Waterfall (whole fund): carry is calculated only after the return of the entire invested capital of the fund plus the preferred return. Protects LPs—carry is paid out only upon the success of the whole fund. American Waterfall (deal-by-deal): carry is calculated after each ...

IRR in Project Finance. Project Finance is financing based on the cash flows of the project (SPV), with no recourse to the sponsor. Typical projects: infrastructure (roads, airports), energy (power plants, renewables), real estate. Project IRR: the discount rate at which the NPV of all project ca...

13

Trade Finance and Treasury Management

Letters of credit, factoring, forfaiting, SCF, liquidity management, and hedging of treasury risks.

Trade Finance Instruments: LC, Collection, Guarantees, and SCF

What is Trade Finance? → Letter of Credit (LC) → Documentary Collection (DC) → Bank Guarantees → Supply Chain Finance (SCF)

Type of GuaranteePurpose
Tender (Bid Bond)Ensures participation in the tender
Performance (Performance Bond)Guarantees contract performance
Advance Payment GuaranteeRefund of advance in case of non-performance
Payment GuaranteeEnsures buyer’s payment
Customs GuaranteeEnsures customs payments

Process of Working with LC

  • ·D/P (Documents against Payment): Documents are released to the buyer only after payment
  • ·D/A (Documents against Acceptance): Documents are released after the buyer accepts the draft (i.e., promises to pay in the future)

Trade finance is a set of financial instruments and products that enable buyers and sellers in international trade to manage risks and finance the gap between shipment of goods and receipt of payment. Banks, non-bank financial institutions, and specialized platforms ensure transactions by reducin...

The trade finance market exceeds $10 trillion per year. In the UAE, this market is particularly significant: Dubai is the largest trading hub in MENA and South Asia, through which a substantial share of re-exports passes.

Letter of Credit is a documentary instrument whereby a bank (issuing bank), at the request of the buyer (applicant), undertakes to pay the seller (beneficiary) a specified amount upon presentation of documents conforming to the terms of the letter of credit.

Revocable: Can be amended or revoked by the issuing bank without the consent of the beneficiary. Practically never used.

Factoring, Forfaiting, and Structured Trade Finance

Factoring: Monetizing Accounts Receivable → Forfaiting: Medium- and Long-Term Trade Finance → Structured Trade Finance (STF)

ParameterFactoringForfaiting
TermShort-term (30–180 days)Medium- and long-term (1–7 years)
ObjectTrade invoicesPromissory notes, letters of credit, guarantees
RecourseWith or without recourseAlways without recourse
ApplicationWorking capitalCapital goods, equipment
MarketBroadSpecialized

The Cost of Factoring

  • ·Financing: $85,000
  • ·Interest: $85,000 × 6% × 60/360 = $850
  • ·Factoring commission: $100,000 × 1.5% = $1,500
  • ·Total expenses: $2,350 (effective rate ~16.4% per annum)

When is Factoring Effective?

  • ·Rapidly growing companies with a shortage of working capital
  • ·Companies with concentrated buyers (1–2 major clients)
  • ·Seasonal business
  • ·Companies unable to obtain bank loans

Factoring is a financial transaction in which a company sells its accounts receivable (invoices) to a factor (a bank or a specialized company) in exchange for immediate financing.

1. The company ships goods/provides services → issues an invoice to the buyer (payment term 30–90 days) 2. The company sells this invoice to the factor → receives 70–90% immediately 3. The factor waits for payment from the buyer 4. Upon receipt of payment, the factor transfers the remaining balan...

Recourse Factoring: In case of non-payment by the buyer, the credit risk remains with the seller. Cheaper.

Confidential/Undisclosed Factoring: The buyer is not notified of the assignment of the receivable. Used when the company does not want to disclose its financing arrangements.

Corporate Treasury: Liquidity and Working Capital Management

Functions of Corporate Treasury → Cash Management: Management of Cash Flows → Management of Banking Relationships → Investing Temporarily Idle Funds

  • ·Liquidity management (cash management)
  • ·Fundraising (funding)
  • ·Financial risk management (FX, interest rate, commodity)
  • ·Investing temporarily idle funds
  • ·Managing relationships with banks
  • ·Monitoring and optimizing working capital

Cash Pooling

  • ·Actual movement of funds: subsidiaries transfer balances to the master account daily
  • ·Centralized balance management
  • ·The bank accrues/charges interest on a single net balance
  • ·No actual movement of funds
  • ·The bank calculates interest based on the net position of all group accounts
  • ·Balances legally remain on the subsidiaries' accounts
  • ·Popular in Europe (issues with cross-border notional pooling in the UAE)

Optimization of the Cash Conversion Cycle (CCC)

  • ·DIO (Days Inventory Outstanding) = Inventory / Cost of Goods Sold × 365
  • ·DSO (Days Sales Outstanding) = Accounts Receivable / Revenue × 365
  • ·DPO (Days Payable Outstanding) = Accounts Payable / Cost of Goods Sold × 365
  • ·Reduce DIO: inventory optimization, JIT, ABC analysis
  • ·Reduce DSO: strict credit control, factoring, early discounts (2/10 net 30)
  • ·Increase DPO: negotiate longer payment terms, SCF/reverse factoring for suppliers
  • ·Transaction costs
  • ·Quality of payment system (STP rate, processing time)
  • ·Rates on placements/borrowings
  • ·Quality of trade finance
  • ·Advisory capabilities
  • ·Bank deposits (overnight, term deposits)
  • ·Money Market Funds (MMF) — diversified pool of short-term instruments
  • ·T-bills and short-term government bonds
  • ·Commercial paper (CP) of large corporations
  • ·Repo agreements (REPO)

Corporate Treasury is a functional division responsible for managing financial risks, liquidity, and company financing. In large corporations, the treasury operates like an internal bank.

Cash pooling is a system for concentrating cash from subsidiaries into a single master account of the parent company.

Example: A holding company with subsidiaries in the UAE, UK, Germany, and Singapore. Without pooling: the UK subsidiary holds £5 million in excess liquidity at a 0.5% rate, Germany pays 3% on overdraft. With pooling: the net position reduces interest expenses.

Example of liquidity impact: Amazon has a negative CCC (−28 days in 2023). This means the company receives payments from customers faster than it pays suppliers — in effect, trade creditors finance the business.

Treasury Risks and Hedging: IRS, Cross-Currency Swaps, and FX Forwards

Types of Treasury Risks → Foreign Exchange Risk → Interest Rate Risk → Building Treasury Policy → Example: Treasury Program of an International Retailer

Interest Rate Swap (IRS)

  • ·The company has taken a loan at a floating rate (SOFR + 2%)
  • ·Fears an increase in rates → wants to convert to a fixed payment
  • ·Enters into an IRS: pays a fixed rate to the bank, receives SOFR → net effect: fixed-rate loan
  • ·Notional: $100 million
  • ·The company pays: 4.5% fixed (annual rate)
  • ·The company receives: SOFR (let's say, 5.2% today)
  • ·Net payment: the company receives 0.7% (in this scenario, gains)
  • ·If SOFR falls to 3%: the company pays an extra 1.5%
  • ·Fair value hedge: hedges a balance sheet item → changes in the fair value of the IRS are reflected in P&L
  • ·Cash flow hedge: hedges future flows → changes in fair value are reflected in OCI (other comprehensive income)

Cross-Currency Swap (CCS)

  • ·The company has taken a EUR loan, but operates in USD → CCS converts EUR liabilities to USD
  • ·The company issues USD bonds, but main costs are in JPY → CCS provides JPY funding
  • ·Arbitrage: a company with a USD rating can borrow more cheaply in EUR and convert through a CCS to USD
  • ·Operational cash flows in 15 currencies
  • ·Long-term debt in EUR and USD
  • ·Commodity risks (cotton, oil for logistics)

1. Foreign Exchange Risk (FX Risk) — the risk of losses due to changes in exchange rates 2. Interest Rate Risk — the risk arising from changes in interest rates 3. Commodity Risk — the risk resulting from changes in commodity prices (for resource-dependent companies)

Transaction Risk: The risk of exchange rate changes between the date a deal is concluded and the settlement date. The most tangible and manageable type.

Translation Risk: The risk encountered when consolidating financial statements of subsidiaries operating in different currencies. Affects the reported P&L and balance sheet.

Economic Risk: The long-term impact of currency fluctuations on a company’s competitiveness.

14

Venture Capital and Startup Financing

VC ecosystem, deal structuring, startup valuation, portfolio management, and exit strategies.

Startup Ecosystem and Structure of the VC Market

What is Venture Capital? → Startup Stages and Corresponding Funding → Structure of a VC Fund → Types of VC Investors

Limited Partners (LP)

  • ·Pension funds (CalPERS, OTPP)
  • ·Sovereign funds (Mubadala, ADQ, PIF)
  • ·University endowments (Yale Endowment)
  • ·Family offices
  • ·Funds of funds (Fund of Funds)
  • ·Insurance companies

General Partners (GP)

  • ·Management fee: 2% AUM per year (covers operating expenses)
  • ·Carried interest: 20% of the fund’s profit above the hurdle rate (usually 8%)

Fund Lifecycle

  • ·Fund term: Usually 10 years (with the possibility of extension for 2–3 years)
  • ·Investment period: First 5 years — active investing
  • ·Harvesting period: Next 5 years — portfolio management and exits
  • ·J-curve: In the early years, the fund shows negative IRR (management fees + initial write-offs) → then growth with successful exits

Venture Capital (VC) is a form of direct investment in young, high-risk companies with the potential for exponential growth (10x, 100x). Unlike PE, VC invests in companies before the stage of stable profitability. VC accepts the risk of total loss of investments in exchange for the possibility of...

Market scale: The global VC market in 2023 was ~$285 billion (compressed from a record $675 billion in 2021). The USA is the largest market (45% of global volume), followed by China, the United Kingdom, and India. The MENA region is ~$3–5 billion/year, the largest hub being the UAE (especially Du...

Who invests: Founders (Bootstrapping), FFF (Friends, Family, Fools), Angel investors, Pre-seed funds.

Who invests: Seed VC funds, Angels, Accelerators (Y Combinator, Techstars, DIFC Innovation Hub in the UAE).

Term Sheet and Structure of VC Deal: SAFE, Convertible Notes, Preferred Stock

Term Sheet: What Is It and What Is It For? → SAFE (Simple Agreement for Future Equity) → Convertible Notes (CN) → Preferred Stock → Shareholder Agreement (SHA)

  • ·Fixes the basic agreements before an expensive due diligence
  • ·Defines the negotiating positions of the parties
  • ·Serves as the basis for preparing legal documents (SHA, Subscription Agreement, Investment Agreement)
  • ·Investor provides money today
  • ·Does not receive shares immediately (no current valuation)
  • ·At the next equity round, SAFE is converted into preferred shares
  • ·Conversion occurs at a discount or at a reduced price relative to the next round’s valuation
  • ·Investor invested $500,000 SAFE with a cap of $4 million
  • ·Series A round: pre-money valuation $8 million, share price $1.00
  • ·SAFE converts at $0.50 (cap $4 million / $8 million × $1.00)
  • ·Investor receives: $500,000 / $0.50 = 1,000,000 shares
  • ·Without cap: $500,000 / $1.00 = 500,000 shares
  • ·The cap gave the investor twice as many shares
  • ·CN is debt (from a legal perspective): interest accrues, there is a maturity date
  • ·If the round does not occur, the investor can demand repayment of the debt (theoretically)
  • ·SAFE is not debt: no interest, no maturity
  • ·Interest rate: usually 2–8% per annum (often added to the principal, not paid in cash)
  • ·Maturity: usually 18–24 months
  • ·Conversion discount: 15–25%
  • ·Valuation cap: similar to SAFE

Liquidation Preference

  • ·Upon exit, Preferred holder receives liquidation preference (usually 1x — return of investment) OR converts into Common and gets a proportional share
  • ·Chooses the more advantageous option
  • ·Receives liquidation preference (1x) AND then participates in the distribution of the remainder as Common
  • ·Extremely disadvantageous for founders
  • ·2x, 3x: the investor receives 2-3 times reimbursement before distribution among common shareholders
  • ·Aggressive, became rare after 2022
  • ·VC invested $10 million for 25% (1x Non-participating Preferred)
  • ·Company sold for $20 million
  • ·VC chooses between: (a) liquidation preference $10 million or (b) 25% × $20 million = $5 million → chooses (a)
  • ·If sold for $50 million: VC chooses (b) = $12.5 million > $10 million

Term Sheet (TS) is a non-binding (as a rule) document that records the key terms of the proposed investment. It is not a legally binding agreement (except for provisions regarding confidentiality and exclusivity).

Invented by Y Combinator in 2013. The most popular instrument at pre-seed and seed stages in the USA, actively adopted in MENA/UAE.

Valuation Cap: Maximum valuation for conversion. If a SAFE has a cap of $5 million, and the next round takes place at a pre-money $10 million — the investor converts as if at $5 million (gets more shares).

Discount Rate: Discount to the share price in the next round (usually 15–25%).

Startup Valuation: Berkus, Scorecard, VC Method and pre-money/post-money

Pre-money vs. Post-money Valuation → Early-stage Valuation Methods → Typical VC-target shares → Factors influencing valuation in MENA

Formulas

Investor share = Investment / Post-money
Risk factorMaximum value
Viable idea (reducing major risk)$500,000
Prototype/MVP (reducing technology risk)$500,000
Quality of management (reducing execution risk)$500,000
Strategic partnerships (reducing competitive risk)$500,000
First sales/customers (reducing market risk)$500,000
**Total maximum****$2,500,000**
FactorWeightScore (0–1.5)Weighted score
Team30%1.339%
Market size25%1.230%
Product/technology15%1.015%
Competition10%0.88%
Marketing/channels10%1.111%
Need for additional investment5%0.94.5%
Other5%1.05%
**Total**100%**112.5%**
ScenarioProbabilityExit ValueExpected Value
Best case (IPO)15%$500M$75M
Base case (Strategic M&A)45%$80M$36M
Worst case (Acqui-hire)25%$10M$2.5M
Failure15%$0$0
**Expected Value****$113.5M**
  • ·Pre-money: $10M
  • ·Investment: $2M
  • ·Post-money: $12M
  • ·Investor share: $2M / $12M = 16.7%

VC Method (Venture Capital Method)

  • ·Forecasted exit value in 5 years (Revenue $50M × EV/Revenue multiple 5x = $250M)
  • ·Target ROI: 20x
  • ·Required equity = $2M investment × 20 = $40M exit proceeds
  • ·Required share: $40M / $250M = 16%
  • ·Post-money = $2M / 16% = $12.5M
  • ·Pre-money = $12.5M − $2M = $10.5M

Comparable Transactions (Comp Analysis)

  • ·ARR Multiple: EV/ARR (Enterprise Value / Annual Recurring Revenue)
  • ·Typical ranges: Early-stage SaaS 5–20x ARR; FinTech 3–10x ARR; Deep Tech 2–8x

First Chicago Method

  • ·Seed: 10–20% per round
  • ·Series A: 15–25% per round
  • ·Series B: 10–20% per round
  • ·Dilution per round: 15–25%

Critical mistake: Confusing pre-money and post-money. If an investor says "$10M valuation"—clarify: pre or post?

Developed by Dave Berkus for pre-revenue startups. Assigns value based on five factors:

Steps: 1. Determine the average pre-money valuation for comparable funded startups (for example, $2M for seed SaaS in MENA) 2. Weigh key factors

Steps: 1. Estimate the Exit Value (Terminal Value) in 5–7 years 2. Determine Target ROI (usually 10x–30x for early stages) 3. Calculate required share

VC Portfolio Management: board seats, pro-rata rights, and portfolio monitoring

Portfolio Theory in Venture Capital → Board Seats → Pro-Rata Rights → Portfolio Monitoring → Reserve Capital Management

Definitions

Pro-rata right
the right of an investor to participate in future rounds in proportion to their current ownership, maintaining their ownership percentage.
  • ·Diversification is mandatory (usually 20–40 companies per fund)
  • ·Capital must be reserved for follow-ons in the best portfolio companies (winners)
  • ·Do not waste time trying to save "zombie" companies
  • ·1–2 companies: 50x+ return → generate 60–70% of the fund's total return
  • ·3–5 companies: 5–15x → provide 20–30%
  • ·10–15 companies: 0–2x → neutral contribution
  • ·5–10 companies: full loss → negative contribution

Typical Board Structure

  • ·Founder 1 (CEO): 1 seat
  • ·Founder 2 (CTO/COO): 1 seat
  • ·Lead investor (VC): 1 seat
  • ·Independent director: 1 seat (often added at Series A)
  • ·1–2 seats are added for new investors
  • ·The Board usually consists of 5 directors
  • ·Approval/dismissal of the CEO
  • ·Approval of the annual budget and strategy
  • ·Major deals (M&A, new rounds)
  • ·Approval of the option pool (ESOP)
  • ·Compliance oversight

Board Observer Rights

  • ·The VC owns 15% after Series A
  • ·At Series B, the investor has the right to invest 15% of the round
  • ·If Series B = $20 million → the VC has the right to $3 million

Key Metrics for Monitoring

  • ·ARR (Annual Recurring Revenue) and MoM/YoY growth rate
  • ·MRR churn rate (<2% monthly = good)
  • ·LTV/CAC ratio (>3x = healthy)
  • ·Burn Rate and Runway (should be 12–18+ months)
  • ·Headcount and revenue per employee
  • ·GMV (Gross Merchandise Value) and take rate
  • ·CAC by channel
  • ·Liquidity (number of sellers and buyers)
  • ·DAU/MAU (Daily Active Users / Monthly Active Users)
  • ·Retention cohorts
  • ·CAC by acquisition channel

Reporting from Portfolio Companies

  • ·P&L (actual vs. budget)
  • ·Cash position and runway
  • ·KPI metrics (business-specific)
  • ·Key wins and challenges
  • ·Hiring updates
  • ·Investor relations highlights

VC operates according to the "power law" principle: most returns are generated by 1–2 companies in the portfolio. Research shows: in a typical VC fund, ~20% of investments generate 80%+ of returns, ~50% of investments return less than invested.

VC investors, as a rule, receive the right to appoint a director to the Board of Directors of a portfolio company.

Boards of Directors vs. Supervisory Board: In some European jurisdictions (Netherlands, Germany) there is a two-tier system: supervisory board + management board.

Investors without a full board seat may have "Observer Rights" — the right to attend and speak at meetings without voting rights. This is often granted to smaller investors or angels.

Exits: IPO, M&A, Secondary Sales, and Drag-Along/Tag-Along

Types of Exits in Venture Capital → IPO (Initial Public Offering) → M&A (Mergers & Acquisitions) → Secondary Transactions → Drag-Along and Tag-Along: Key SHA Provisions → Waterfall Distribution: How Funds Are Distributed at Exit

Definitions

Waterfall
the order of distribution of exit proceeds.
  • ·M&A (Mergers & Acquisitions): ~80% of all exits by number
  • ·IPO: ~10–15% (but usually the largest by volume)
  • ·Secondary transactions: ~10–15%
  • ·Buyout/Management Buy-Out: ~5%

IPO Process

  • ·Management presents the company to institutional investors
  • ·Bookbuilding process
  • ·Determination of the final offering price
  • ·Trading opens on the exchange
  • ·Lock-up period for insiders and VCs: usually 90–180 days

Drag-Along (Compulsory Participation)

  • ·Minimum price must be ≥ liquidation preference
  • ·Total price = not lower than the latest round valuation
  • ·Reasonable notice period

Tag-Along (Co-Sale Right)

  • ·Long debt: $2 million → to be repaid
  • ·Series A Preferred: $5 million invested (1x non-participating)
  • ·Series B Preferred: $10 million invested (1x non-participating)
  • ·Common (founders + ESOP): remainder
  • ·$2 million → creditors
  • ·$28 million remaining
  • ·Series B: $10 million preference OR pro rata?
  • ·Assume Series A: 20%, Series B: 35%, Common: 45%
  • ·20% × $28 million = $5.6 million > $5 million preference → they convert
  • ·35% × $28 million = $9.8 million < $10 million preference → they take preference
  • ·Series B: $10 million; remaining $18 million → Series A (converted): $5.6 million; Common: $12.4 million

An exit is the moment when a VC realizes its investment, converting its stake in a company into cash. The average period from investment to exit is 7–10 years.

IPO is the initial public offering of a company's shares on an exchange. The most “glamorous” exit, though not always the most profitable for VCs.

Preparation stage (6–12 months): 1. Selection of underwriters (investment banks): Goldman Sachs, Morgan Stanley, JPMorgan — leaders for tech IPOs 2. Audit according to PCAOB (US) or IFRS (Europe/UAE) 3. Preparation of S-1 (US) / Prospectus (Europe, UAE) 4. Organizational restructuring (dual-class...

An alternative route to the public market. A SPAC is a “shell company” with money that does an IPO and then merges with a private company. Was popular in 2020–2021, then experienced a sharp decline.