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How do swaptions work, and what determines whether you should buy a payer vs. receiver swaption?
A swaption grants the right to enter a swap at a preset fixed rate. Payer swaptions profit when rates rise (hedge future borrowing), while receiver swaptions profit when rates fall (hedge future investment). Valuation typically uses the Black model with the forward swap rate and an annuity factor.
How does a zero-coupon inflation swap work, and what does the swap rate tell us about inflation expectations?
A zero-coupon inflation swap exchanges a single payment at maturity: realized CPI-based inflation versus a fixed rate compounded over the tenor. The fixed rate directly represents the market's breakeven inflation expectation and is considered a cleaner measure than TIPS breakevens.
How do credit migration matrices work, and how do you use transition probabilities in portfolio risk?
A credit migration (or transition) matrix is a square matrix showing the probability that a borrower with rating X at the start of a period will have rating Y at the end. It is foundational to credit portfolio models like CreditMetrics.
How do you calculate parametric VaR for a multi-asset portfolio using the correlation matrix?
Portfolio parametric VaR uses the covariance matrix to account for diversification effects. The formula VaR_p = z x sqrt(w' Sigma w) x Value produces a lower (diversified) VaR than the sum of individual VaRs when correlations are below 1, with negative correlations providing the greatest benefit.
How does the Merton model calculate distance to default and what are its limitations?
The Merton model treats equity as a call option on firm assets, with default occurring when assets fall below debt. Distance to Default measures how many standard deviations assets are above the default point, but the model has practical limitations including unobservable inputs and oversimplified capital structure.
How does the Merton model work for measuring credit risk, and what does the structural diagram look like?
The Merton model treats equity as a European call option on the firm's assets with strike price equal to the face value of debt. Default occurs when asset value falls below debt at maturity. The Distance to Default measures how many standard deviations the firm is from the default threshold.
What is the Three Lines of Defense model and how does it structure risk governance at a bank?
The Three Lines of Defense model is the foundational risk governance framework tested on FRM Part I. It establishes clear accountability for risk-taking, risk oversight, and independent assurance across business units, risk management, and internal audit.
Can someone walk me through the equity method with excess purchase price allocation?
The equity method requires allocating excess purchase price to identifiable assets at fair value, then amortizing that excess over the assets' remaining useful lives. The amortization reduces equity income each period. Any unallocated excess is goodwill, which is not amortized but tested for impairment.
What are the key tax-efficient investing strategies for private wealth clients?
Tax-efficient investing strategies include asset location, tax-loss harvesting, holding period management, tax-lot selection, and charitable giving of appreciated securities. These strategies can save high-net-worth clients 100-200 basis points of annual return.
What are the different variations of the Gordon Growth Model and when do you use a multi-stage DDM?
The Gordon Growth Model has three main variations: constant growth (stable, mature firms), two-stage (high growth then stable), and three-stage (gradual transition). The choice depends on the company's growth profile, with the key constraint that the terminal growth rate must be below the required return.
Can someone break down the 3-step and 5-step DuPont decomposition with a real example?
DuPont analysis is one of the most testable frameworks in CFA Level I FRA because it connects profitability, efficiency, and leverage into a single coherent picture of return on equity. The 3-step version decomposes ROE into net profit margin, asset turnover, and the equity multiplier, while the 5-step further breaks down the margin into tax burden, interest burden, and EBIT margin.
What is 'phantom income' from TIPS and how does it affect taxable investors?
TIPS phantom income: annual inflation adjustment is taxed as ordinary income each year despite no cash received until maturity. Creates negative cash flow problem (taxes exceed cash coupons). TIPS are best held in tax-deferred accounts (IRA, 401k) rather than taxable accounts...
How do survivorship bias and appraisal smoothing distort CME inputs?
Survivorship bias overstates returns by excluding failed funds/entities. Appraisal smoothing understates volatility and correlations for real estate and PE, making them look artificially attractive in optimizers. Both require explicit adjustments — survivor bias corrections and statistical unsmoothing — before using as CME inputs.
How granular should the asset class universe be when setting CMEs?
The asset class universe should mirror your investment process's key decisions — no more, no less. Every additional class adds estimation noise through more required inputs. A simple firm might need 5 classes; a sophisticated one might need 13. The data must be sliced across geography, asset type, and sub-class dimensions.
What is the difference between qualified dividends and ordinary dividends for tax purposes?
Qualified dividends are taxed at preferential long-term capital gains rates (0%, 15%, or 20% depending on bracket) rather than ordinary income rates...
How should a portfolio manager approach currency management in a global portfolio?
Currency management ranges from fully hedged to unhedged, with strategic partial hedging as institutional default tuned to objectives.
What is enhanced indexing in fixed income?
Enhanced indexing tracks closely (TE 20-75 bps) while taking diversified relative-value bets for 15-50 bps alpha. Sources include new-issue concessions, fallen angels, roll-down, and sector rotation.
How do I calculate time-weighted return and why is it the standard for manager evaluation?
Time-weighted return chain-links sub-period returns between cash flows to measure pure investment performance independent of client cash flow timing — the GIPS standard...
How does GIPS treat significant cash flows in composites?
GIPS allows temporary removal of portfolios experiencing significant cash flows (exceeding pre-defined threshold) to avoid distorting composite returns. Requires written policy, consistent application, disclosure...
What investor protections should LPs seek in hedge fund investments?
Hedge fund investor protections: high-water mark, hurdle rate, clawback, lockups/gates, key-person clause, MFN, independent administrator, audits, side pocket governance, transparency. ODD is critical.
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