AFA study materials
AFA study resources

AFA cheat sheet

AFA · Keep the key ideas within reach.

Quick reference

Ethics and Professional Standards

  • Code of Ethics states six principles: integrity, competence, diligence, respect, and ethical behavior toward markets, clients, employers, and profession.

  • Standards I-VII cover professionalism, integrity of capital markets, duties to clients, duties to employers, investment analysis, conflicts of interest, and responsibilities as a member.

  • Priority order when duties conflict: integrity of capital markets first, then clients, then employers; never subordinate client interest to personal gain.

  • Independence and objectivity (I-B) prohibits accepting gifts or benefits that could reasonably compromise judgment; disclosure of employer-consented gifts is required.

  • Misrepresentation (I-C) covers plagiarism, omission of material facts, and guaranteeing returns; cite sources and attribute forecasts to their author.

  • Fair dealing (III-B) applies to all clients, not just those with similar mandates; priority trade allocation must follow disclosed written policy, not client size.

  • Performance presentation (III-D) must be fair, accurate, and complete; simulated or back-tested results must be labeled and not linked to actual results.

  • GIPS requires composites of all actual, fee-paying, discretionary portfolios; composites are asset-weighted and include a minimum of five years of performance.

Quick reference

Financial Reporting and Analysis

  • Accounting equation: Assets = Liabilities + Equity; every transaction preserves this balance in at least two accounts.

  • Revenue recognition requires a valid contract, performance obligation, and transfer of control; recognize over time if criteria met, otherwise at a point in time.

  • Capitalizing versus expensing: capitalizing an expenditure increases assets and future earnings (via depreciation) but lowers current expenses and raises current net income.

  • LIFO versus FIFO during inflation: LIFO yields higher cost of goods sold, lower ending inventory, lower net income, and lower taxes; FIFO inflates gross profit.

  • Inventory write-downs under lower of cost or market reduce inventory, increase cost of goods sold, and lower the current ratio and gross margin.

  • Depreciation methods: straight-line = (cost - salvage)/useful life; double-declining = 2/useful life × beginning book value; units-of-production ties expense to usage.

  • Indirect method cash flow from operations: net income + non-cash charges - increases in working capital (add decreases in receivables, subtract increases in payables).

  • Free cash flow to firm = CFO - capital expenditures + net borrowing adjustments; FCFE = CFO - capex + net borrowing; use FCFF for enterprise valuation.

Quick reference

Corporate Finance

  • Net present value = sum of discounted cash flows minus initial outlay; accept positive-NPV projects; NPV is the primary decision rule.

  • Internal rate of return is the discount rate making NPV zero; IRR can mislead with non-conventional cash flows or mutually exclusive projects of different scale.

  • Weighted average cost of capital = (E/V)×Re + (D/V)×Rd×(1-tax rate); use market values and target capital structure weights.

  • Cost of equity via CAPM: Re = risk-free rate + beta × equity risk premium; beta measures systematic risk relative to the market.

  • Cost of debt is the yield to maturity on existing debt adjusted for the marginal tax shield; flotation costs are usually ignored in WACC.

  • Leverage raises equity beta: unlevered beta = levered beta / [1 + (1 - tax) × (D/E)]; relever for the target capital structure.

  • Dividend policy: in perfect markets dividend policy is irrelevant (Miller-Modigliani); taxes, signaling, and agency costs create real-world effects.

  • Working capital management: cash conversion cycle = days inventory outstanding + days sales outstanding - days payables outstanding; shorter is generally better.

Quick reference

Equity Valuation and Analysis

  • Gordon growth model: P0 = D1 / (r - g); valid only when g < r and growth is stable and sustainable.

  • Two-stage DDM discounts high-growth dividends individually, then applies a terminal value using the Gordon growth formula at the transition point.

  • Justified P/E = payout ratio / (r - g); higher payout, higher growth, and lower required return raise the justified multiple.

  • Free cash flow to equity model: value = sum of FCFE / (1 + r)^t; FCFE = net income - capex + depreciation - change in working capital + net borrowing.

  • Residual income model: value = book value + present value of expected residual income, where residual income = earnings - (r × beginning book value).

  • Porter's five forces: threat of new entrants, bargaining power of buyers, bargaining power of suppliers, threat of substitutes, and rivalry among existing firms.

  • Enterprise value = market value of equity + market value of debt - cash and investments; EV/EBITDA is capital-structure neutral.

  • Sustainable growth rate = retention ratio × return on equity; growth above this requires external financing or improving ROE.

Quick reference

Fixed Income Analysis

  • Bond price and yield are inversely related; price = sum of coupon/(1+y)^t plus par/(1+y)^n, where y is the yield per period.

  • Macaulay duration is the weighted average time to cash flows; modified duration = Macaulay duration / (1 + yield per period).

  • Price change approximation: percentage price change ≈ -modified duration × yield change + 0.5 × convexity × (yield change)^2.

  • Convexity is positive for option-free bonds; greater convexity means larger price gains for yield falls and smaller losses for yield rises.

  • Spot rates discount each cash flow separately; forward rates are implied by spot curve: (1+s2)^2 = (1+s1)(1+1f1).

  • Credit spreads widen in risk-off environments; spread duration measures price sensitivity to changes in spread, not to benchmark yields.

  • Callable bonds have negative convexity and lower duration than otherwise identical option-free bonds; putable bonds have higher duration.

  • Yield curve shapes: upward sloping (normal), inverted (recession signal), and flat; expectations, liquidity, and segmentation theories explain them.

Quick reference

Derivatives and Alternative Investments

  • Forward contract payoff at maturity: long = spot - forward price; short = forward price - spot; forwards have zero initial value.

  • Call option payoff at expiration: max(0, S - K); put payoff: max(0, K - S); option value = intrinsic value + time value.

  • Put-call parity (European, no dividends): C + K/(1+r)^T = P + S0; violations imply arbitrage opportunities.

  • Binomial option pricing values options by replicating payoffs with a riskless hedge; risk-neutral probabilities discount expected payoffs at the risk-free rate.

  • Futures versus forwards: futures are exchange-traded, marked to market daily, and standardized; forwards are OTC and customizable.

  • Hedge fund strategies: long/short equity, event-driven, relative value, global macro, and managed futures; lockups and gates limit redemptions.

  • Private equity returns are reported as IRR and multiples (TVPI, DPI); IRR can be inflated by early distributions and is not comparable to time-weighted returns.

  • Real estate and commodities provide diversification and inflation sensitivity; direct real estate is illiquid and appraised rather than continuously priced.

Quick reference

Portfolio Management and Wealth Planning

  • Portfolio expected return = weighted average of asset returns; portfolio variance depends on weights, individual variances, and covariances.

  • Diversification benefit increases as correlation falls; with correlation of +1 no risk reduction is possible, and with -1 risk can be eliminated.

  • Capital market line uses total risk (standard deviation) for efficient portfolios; security market line uses beta for any security.

  • Sharpe ratio = (portfolio return - risk-free rate) / standard deviation; higher is better for evaluating total-risk-adjusted performance.

  • Treynor ratio = (portfolio return - risk-free rate) / beta; appropriate when the portfolio is one holding within a diversified fund.

  • Investor risk tolerance combines ability (financial capacity, horizon, liquidity needs) and willingness (psychological attitude); the lower of the two governs.

  • Asset allocation policy drives most return variability; strategic allocation sets long-term weights, tactical allocation makes short-term deviations.

  • Rebalancing to target weights enforces buy-low/sell-high discipline; calendar and threshold rebalancing are common approaches.

Quick reference

Quantitative Methods and Economics

  • Time value: PV = FV / (1 + r)^n; for annuities use PV = PMT × [1 - (1+r)^-n] / r.

  • Effective annual rate = (1 + stated rate/m)^m - 1; continuous compounding EAR = e^r - 1.

  • Coefficient of variation = standard deviation / expected return; it measures risk per unit of return for comparing investments.

  • Regression: slope = covariance(x,y)/variance(x); R-squared is the fraction of variation in y explained by the model.

  • Hypothesis testing: reject the null when the test statistic exceeds the critical value; a p-value below significance level rejects the null.

  • Price elasticity of demand = percentage change in quantity / percentage change in price; elastic demand means |elasticity| > 1.

  • GDP expenditure approach: GDP = C + I + G + (X - M); real GDP removes price-level effects using a base year.

  • Monetary policy transmission: central bank changes policy rate, affecting short-term rates, credit, asset prices, exchange rates, and aggregate demand.