FTIP study materials
FTIP study resources

FTIP cheat sheet

FTIP · Keep the key ideas within reach.

Quick reference

Financial Products and Markets

  • Equity: residual ownership claim; common shareholders rank last in liquidation, after debt and preferred stock.

  • Bond price and yield move inversely; for a given duration, the percentage price change is approximately -D x Δy (modified duration times yield change).

  • Money market instruments (T-bills, commercial paper, CDs) mature in one year or less and are quoted on a discount-yield basis for T-bills.

  • Forward vs futures: forwards are OTC, customizable, and carry counterparty credit risk; futures are exchange-traded, standardized, and marked to market daily.

  • Option payoff at expiry: call = max(0, S - K); put = max(0, K - S). Premium paid is separate from intrinsic value.

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

  • Primary market = new issuance (IPO, follow-on, bond syndication); secondary market = trading among investors and provides liquidity and price discovery.

  • Market microstructure: bid-ask spread is a transaction cost; a dealer quoting bid 99.50 / ask 99.75 faces a 0.25 spread and earns it per round lot traded.

Quick reference

Investment Analysis and Valuation

  • DCF value = sum of FCFF_t/(1+WACC)^t plus terminal value; terminal value via Gordon growth = FCFF_(n+1)/(WACC - g), with g below the long-run growth rate of the economy.

  • WACC = (E/V) x Re + (D/V) x Rd x (1 - tax rate); use market-value weights, not book values, and after-tax cost of debt.

  • CAPM: Re = Rf + beta x (Rm - Rf). Beta measures systematic risk only; unsystematic risk is diversifiable and not compensated.

  • Gordon growth model: P0 = D1/(Re - g). Requires g < Re; the model is highly sensitive to small changes in g.

  • Relative valuation: P/E, EV/EBITDA, P/B, and P/S multiples must be applied to comparable firms with similar growth, margins, and risk.

  • Free cash flow to equity = net income + non-cash charges - capex - change in working capital + net borrowing.

  • DuPont decomposition: ROE = net margin x asset turnover x financial leverage; rising ROE driven only by leverage signals added risk.

  • Economic value added: EVA = NOPAT - (WACC x invested capital); positive EVA means returns exceed the cost of capital.

Quick reference

Portfolio Management and Asset Allocation

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

  • Diversification benefit: as pairwise correlation falls below +1, portfolio volatility falls for the same expected return; correlation of -1 can eliminate risk entirely.

  • Efficient frontier: set of portfolios offering the highest expected return for each level of risk; the tangency portfolio maximizes the Sharpe ratio.

  • Sharpe ratio = (Rp - Rf)/sigma_p; Treynor ratio uses beta in the denominator and suits well-diversified portfolios.

  • Strategic asset allocation sets long-term target weights from objectives, risk tolerance, and horizon; tactical allocation makes short-term deviations.

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

  • Beta of a portfolio = weighted average of constituent betas; portfolio standard deviation is not a weighted average because of covariance.

  • Asset allocation is generally the dominant driver of long-run portfolio return variability; security selection and timing contribute less.

Quick reference

Risk Management

  • Value at Risk (VaR) at 95% states a loss threshold not expected to be exceeded on 95% of days; it says nothing about the size of losses beyond it.

  • Expected shortfall (CVaR) averages losses beyond the VaR threshold and is a coherent risk measure; VaR is not sub-additive in general.

  • Duration approximates bond price sensitivity to yield; convexity captures the curvature and improves the estimate for larger yield moves.

  • Credit risk components: probability of default, loss given default, and exposure at default; expected loss = PD x LGD x EAD.

  • Liquidity risk has two forms: funding liquidity (ability to meet obligations) and market liquidity (ability to trade without moving price).

  • Stress testing and scenario analysis complement statistical VaR by modeling extreme but plausible events that historical data may omit.

  • Operational risk arises from failed internal processes, people, systems, or external events; it is managed through controls and loss-event data.

  • Hedging with derivatives transfers risk but introduces basis risk, counterparty risk, and margin/liquidity demands.

Quick reference

Regulation, Ethics, and Professional Standards

  • Fiduciary duty comprises duties of loyalty (act in the client's best interest) and care (competence, diligence, and prudence).

  • Suitability requires that a recommendation fit the client's objectives, risk tolerance, time horizon, and financial circumstances.

  • Priority of transactions: client accounts take precedence over the professional's own accounts and over employer accounts in most standards.

  • Independence and objectivity: gifts, bonuses, or entertainment that could impair judgment must be disclosed or refused per policy.

  • Material nonpublic information (MNPI) must not be traded on or selectively disclosed; the mosaic theory permits acting on assembled public and nonmaterial information.

  • Know-your-customer (KYC) and anti-money-laundering (AML) rules require identity verification, source-of-funds checks, and suspicious-activity reporting.

  • Conflicts of interest must be disclosed, mitigated, or avoided; disclosure alone does not cure a conflict that harms the client.

  • Recordkeeping and fair dealing: communications must be accurate, not misleading, and retained per regulatory retention periods.

Quick reference

Client Advisory and Financial Planning

  • Risk tolerance has two parts: willingness (psychological attitude) and ability (financial capacity); recommendations must respect the lower of the two.

  • Time horizon shapes allocation: longer horizons support more equity exposure; near-term goals should be funded with lower-volatility assets.

  • Emergency reserve guideline: hold three to six months of essential expenses in liquid, low-risk assets before investing for long-term goals.

  • Capital needs analysis for life insurance: income replacement, debt repayment, education funding, and final expenses minus existing resources.

  • Retirement funding: required savings depend on target income, expected return, inflation, and life expectancy; use real (inflation-adjusted) returns consistently.

  • Tax-aware planning: asset location places tax-inefficient holdings in tax-deferred accounts and tax-efficient holdings in taxable accounts.

  • Education funding options differ in control and tax treatment: 529 plans, custodial accounts, and prepaid tuition plans each have distinct rules.

  • Behavioral biases to identify: loss aversion, overconfidence, anchoring, and recency; the advisor's role is to correct them through education and structure.