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What adjustments are needed to go from enterprise value to equity value, and what are the common traps?
The enterprise-value-to-equity bridge requires subtracting all non-equity claims from EV: total debt net of cash, preferred stock, minority interest, unfunded pension obligations, and operating lease liabilities. Equity method investments should be added back if not reflected in operating EBITDA.
Why do we need a convexity adjustment and how does it improve the duration-based price estimate?
Duration gives a straight-line estimate of price changes, but bond prices actually move along a curve. Convexity captures that curvature and corrects duration's error, providing a more accurate price estimate especially for large yield changes.
How do I calculate Macaulay duration and modified duration step by step?
Duration is the single most important risk measure in fixed income. Macaulay duration is the weighted-average time to receive a bond's cash flows, while modified duration adjusts it to estimate the percentage price change for a given yield shift.
P/E vs. EV/EBITDA: when should I use each multiple and what are the pitfalls?
P/E measures equity value per dollar of earnings and works best for similarly leveraged companies. EV/EBITDA measures total firm value relative to operating cash flow and is capital-structure neutral. Use EV/EBITDA when comparing companies with different leverage, depreciation policies, or tax regimes.
How do you calculate residual income continuing value and what assumptions drive it?
Residual income continuing value captures excess returns beyond the forecast period. Three approaches exist: RI drops to zero (ROE converges to cost of equity), RI persists forever, or RI decays via a persistence factor (omega between 0 and 1). The persistence factor reflects how long a company can sustain its competitive advantage.
How do the three depreciation methods compare, and when would a company choose each one?
The three depreciation methods — straight-line, double-declining balance, and units-of-production — all result in the same total depreciation over an asset's life but differ in timing. The choice affects reported earnings, tax cash flows, and key ratios differently each year.
How does IFRS 16 change lease accounting and why does it matter for ratio analysis?
IFRS 16 fundamentally changed lease accounting by requiring lessees to recognize nearly all leases on the balance sheet as a right-of-use asset and lease liability. This affects key ratios like D/E, EBITDA, and interest coverage, making it one of the most testable topics in CFA Level I FRA.
How do upstream and downstream transactions affect equity method accounting?
Downstream transactions occur when the investor sells to the investee, while upstream transactions go the other direction. In both cases, unrealized intercompany profit must be eliminated proportionally, though US GAAP requires full elimination for downstream transactions.
What is the endowment model of diversification?
Endowment model (Yale/Swensen): heavy alternatives (PE, VC, HF, real assets), illiquidity premium, active management in inefficient markets. Hard to replicate at small scale.
What's the difference between real yield and nominal yield, and why does real yield go negative?
Real yield = nominal yield net of inflation. Fisher: (1+Nom)=(1+Real)(1+Infl). Negative real yields occur during QE, flight to safety, regulatory buying, and elevated inflation uncertainty. In COVID era, 10Y TIPS reached -1.0% real yield — investors paid for inflation protection and safe-haven status...
What is the step-by-step process for creating an Investment Policy Statement for a private client?
The IPS creation process follows a systematic eight-step flow: client discovery, objectives setting, constraint identification, asset allocation, drafting, client approval, implementation, and ongoing monitoring. The key exam focus is the interaction between return and risk objectives and the five constraints.
What is tax-efficient asset location and how do I apply it to a client portfolio?
Tax-efficient asset location optimizes which assets are held in taxable versus tax-deferred versus tax-exempt accounts to maximize after-tax wealth...
How do bond indices handle illiquid issues?
Indices screen for minimum outstanding size, maturity, and rating to ensure replicability. Liquidity declines sharply with bond age and off-the-run status; 'liquid subset' indices trade cheaper but diverge from full universe.
What is boosting and how does gradient boosting differ from AdaBoost?
Boosting builds strong learners by sequentially combining weak learners focused on previous errors. AdaBoost reweights examples; gradient boosting fits residuals via gradient descent...
How does a firm define composites under GIPS?
Composites defined by mandate, objective, or strategy. Every discretionary portfolio must belong to at least one. Definitions consistent over time, all composites listed and provided to prospects. Cannot create composites ex-post...
What process do skilled managers use for credit selection in corporate bonds?
Systematic credit selection: screening, fundamental analysis, structural review, relative value, sizing, monitoring. Alpha persists in complex caps structures, small issuers, sector specialization. Top-quartile IR 0.5-1.0; consistency across regimes proves skill.
What is surplus optimization in asset-liability management?
ALM measures surplus volatility (assets minus liabilities), not asset volatility alone. Liability-driven investing matches duration via long bonds/swaps to immunize surplus.
How do I assess risk tolerance when ability and willingness conflict?
Ability (objective) and willingness (subjective) are separate dimensions of risk tolerance. If they conflict, use the lower, educate the client, and document. Both must be assessed separately on the exam.
How does risk-based lending work in private credit and what returns does it target?
Risk-based lending in private credit prices loans based on borrower-specific credit risk, collateral, and structural protections rather than reference-rate benchmarks alone...
What does a responsible AI framework look like for financial services, and what governance structures should firms implement?
A responsible AI framework for financial services requires an AI ethics committee, tiered model governance policies, pre-deployment bias and explainability testing, and ongoing monitoring with feedback loops. Human accountability must be maintained for all AI-driven decisions.
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