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How does Chebyshev's inequality work, and when should I use it instead of the empirical rule?
Chebyshev's inequality is a distribution-free bound guaranteeing a minimum proportion of observations within k standard deviations of the mean for any distribution with finite variance. The formula is P(|X - μ| < kσ) ≥ 1 - 1/k², and it serves as a conservative floor when you cannot assume normality.
How do TIPS actually protect against inflation? I'm confused about whether the coupon or the principal adjusts.
TIPS protect against inflation by adjusting the principal value based on CPI changes, while the coupon rate remains fixed. The coupon payment equals the fixed rate applied to the growing principal, so both coupon income and principal redemption increase with inflation. At maturity, investors receive the greater of the adjusted principal or original par.
What are the different levels of ADRs and what determines which level a foreign company chooses?
ADRs come in four types: unsponsored (no company involvement, OTC only), Level I (sponsored, OTC, minimal SEC), Level II (sponsored, exchange-listed, full SEC reporting), and Level III (exchange-listed with ability to raise new capital). The key distinction is that only Level III allows capital raising.
Can someone clearly explain Type I vs Type II errors? I keep mixing them up.
This is one of the most frequently confused topics in CFA Level I Quant, so you're definitely not alone. Let me give you a framework that makes it impossible to mix them up. Type I is a false alarm — you rejected the null when it was actually true. Type II is a missed signal — you failed to reject a false null.
How should illiquid assets like private equity and real estate be incorporated into asset allocation?
Incorporating illiquid assets into asset allocation is theoretically challenging because standard mean-variance optimization assumes continuous trading. Key issues include stale pricing that understates volatility, commitment pacing lags, and the impossibility of rebalancing locked positions.
How do you analyze a real estate investment? What's the role of cap rates, NOI, and DCF?
Real estate valuation centers on Net Operating Income and uses three main approaches: capitalization rate for quick valuation, DCF for comprehensive analysis, and cash-on-cash return for leveraged equity analysis.
What are ARMA models and when should I use AR vs MA vs ARMA for CFA Level II?
ARMA models combine autoregressive and moving average components. AR models use past values, MA models use past errors, and ARMA captures both. Model selection relies on ACF and PACF plot patterns.
Can someone clearly explain both Modigliani-Miller propositions — with and without taxes — and when each applies?
Modigliani-Miller is the foundation of capital structure theory. Without taxes, firm value is independent of leverage and WACC is constant. With taxes, the tax shield makes leveraged firms more valuable and lowers WACC.
How do you value an interest rate swap at initiation vs. during its life? The two approaches confuse me.
Swap valuation is one of the most tested topics in CFA Level II Derivatives. At initiation, the swap has zero value because the fixed rate is set to equalize present values. During its life, you can value it using bond replication or FRA replication methods.
What is a variable interest entity and when must it be consolidated?
A VIE is an entity that lacks sufficient equity at risk or whose equity holders lack controlling rights. The primary beneficiary -- the entity with power over significant activities and exposure to significant losses or benefits -- must consolidate the VIE.
What are the key depreciation methods and how do impairment and revaluation differ?
Long-lived assets involve three key areas: depreciation methods (straight-line, declining balance, units-of-production), impairment testing (which differs between IFRS and US GAAP), and the revaluation model available only under IFRS.
What are factor tilts and how do portfolio managers use them?
Factor tilts systematically overweight stocks with desirable characteristics (value, momentum, quality, size, low volatility) to capture documented return premiums. Implementation ranges from benchmark-aware tilts to pure long-short factor portfolios and smart beta ETFs.
How do random forests improve on single decision trees?
Random forests combine many decision trees trained on bootstrap samples with random feature selection at each split. This decorrelates the trees, dramatically reducing overfitting (variance) compared to a single tree, at the cost of interpretability.
What is a 'football field' valuation chart and how is it used in equity analysis?
A football field chart is a horizontal bar chart showing value ranges from multiple valuation methods (DCF, comparables, precedent transactions) side-by-side, allowing analysts to visualize where values converge and how the current stock price compares.
What are the key requirements for segment reporting under IFRS 8?
IFRS 8 requires segment identification based on the management approach — how the CODM views the business internally. Reportable segments must exceed at least one 10% threshold (revenue, profit/loss, or assets), and together must cover at least 75% of external revenue.
What's the difference between contango and backwardation in commodity futures?
Contango occurs when futures prices exceed expected spot prices (upward-sloping curve), creating negative roll yield for investors. Backwardation is the opposite — futures below expected spot — generating positive roll yield. Storage costs and convenience yield drive these patterns.
Can someone explain the Modigliani-Miller propositions on capital structure?
Modigliani-Miller Proposition I says firm value is unaffected by capital structure in perfect markets. With taxes, debt creates a tax shield that increases firm value. Proposition II says cost of equity rises with leverage. The trade-off theory adds that optimal structure balances tax benefits against distress costs.
What is a covered call strategy and when would you use it?
A covered call involves owning a stock and selling a call option on it. The strategy generates income from the premium but caps your upside at the strike price. It works best when you're neutral to slightly bullish.
What's the difference between systematic and unsystematic risk, and which one can be diversified away?
Systematic risk affects the entire market and cannot be diversified away — it is measured by beta and investors are compensated for bearing it. Unsystematic risk is firm-specific and can be eliminated through diversification, so investors earn no premium for it.
How do behavioral biases affect private wealth management decisions?
Behavioral biases are systematic deviations from rational decision-making that affect private wealth clients. CFA Level III tests your ability to identify cognitive biases (anchoring, confirmation) that can be corrected through education, and emotional biases (loss aversion, overconfidence) that often require adaptation.
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