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What is the productivity paradox, and why hasn't the digital revolution produced the expected surge in measured productivity?
The productivity paradox describes the disconnect between massive technology investment and disappointing measured productivity growth. Leading explanations include GDP mismeasurement of digital goods, long implementation lags for general-purpose technologies, redistribution rather than creation effects, and the structural shift toward low-productivity services.
How do you construct a zero-cost collar, and what trade-offs does the 'free' hedge involve?
A zero-cost collar buys a protective put and sells a covered call with matching premiums, creating downside protection at no cash cost. The trade-off is capped upside — you sacrifice gains above the call strike to fund the put protection.
How does the if-converted method work for convertible preferred stock in diluted EPS calculations?
The if-converted method for convertible preferred stock assumes conversion at the beginning of the period, adding back preferred dividends to the numerator and adding conversion shares to the denominator. Include the security only if the result reduces diluted EPS below basic EPS.
How does self-attribution bias cause investors to overestimate their skill and take excessive risk?
Self-attribution bias causes investors to claim credit for gains (skill) while blaming losses on external factors (luck), creating a feedback loop of escalating overconfidence and risk-taking. Quantitative attribution analysis reveals that perceived skill is often systematic factor exposure.
What are the key differences between an endowment IPS and a private foundation IPS, and how do they affect investment strategy?
Endowments have flexible spending rules, no mandatory distribution, and no excise tax, allowing higher risk tolerance and more alternative investments. Foundations must distribute 5% annually regardless of market conditions, face excise taxes, and therefore require higher returns with more liquidity.
When is it optimal to exercise an American call option early due to dividends, and how do you decide?
Early exercise of an American call is optimal just before an ex-dividend date when the dividend exceeds the remaining time value of the option. The time value comprises interest savings from deferring strike payment and the embedded put value.
What are PIK (Pay-in-Kind) bonds and why are they considered high-risk instruments?
PIK bonds pay interest by issuing additional bonds rather than cash, causing the principal to compound. They are considered high-risk because credit exposure grows annually, they signal potential cash flow weakness, and they are typically deeply subordinated.
How does arbitrage work with depositary receipts, and what keeps ADR prices aligned with the underlying shares?
Depositary receipts stay aligned with underlying foreign shares through an arbitrage mechanism where traders buy cheap shares in one market and sell the equivalent in the other, pocketing the difference. Time zone gaps, transaction costs, and capital controls create frictions.
How do estimated vs. actual forfeitures of stock options affect compensation expense, and what is a true-up adjustment?
Companies estimate expected forfeitures to determine compensation expense, then adjust (true-up) as actual forfeitures occur. IFRS requires estimation while US GAAP allows a choice between estimation and recognizing forfeitures as they occur. At vesting, total expense reflects actual vesting.
How is a modification to a share-based payment arrangement accounted for when a company reprices stock options?
When stock options are repriced, the total compensation equals the original grant-date fair value plus the incremental fair value (modified FV minus original FV, both measured at the modification date). The incremental cost is recognized over the remaining vesting period.
How do residual value guarantees affect lease accounting for the lessee under IFRS 16 / ASC 842?
Lessees include in their lease liability only the amount they expect to pay under a residual value guarantee, not the maximum guarantee amount. This is the difference between the guaranteed residual and the expected fair value at lease end.
What are appropriated retained earnings, and why would a company restrict a portion of retained earnings?
Appropriated retained earnings are a portion designated by the board for a specific purpose, signaling those earnings are not available for dividends. It is purely an equity reclassification with no cash impact — total retained earnings and total equity remain unchanged.
How do cumulative preferred dividends in arrears affect the financial statements and basic EPS?
Cumulative preferred dividends in arrears are not a liability until declared — they are disclosed in the notes. For basic EPS, the annual preferred dividend is subtracted from net income each year regardless of declaration, preventing double-counting when arrears are eventually paid.
What is participating preferred stock, and how are dividends allocated between preferred and common shareholders?
Participating preferred stock receives both a stated dividend and a share of remaining dividends alongside common stockholders. Fully participating preferred shares in all excess dividends proportionally, while partially participating preferred is capped at a specified additional rate.
How is convertible preferred stock accounted for, and how does it affect diluted EPS?
Convertible preferred stock is recorded entirely as equity at issuance. Conversion uses the book value method with no gain or loss recognized. For diluted EPS, the if-converted method adds back preferred dividends to the numerator and adds potential common shares to the denominator.
How do you decompose tracking error into factor-based and stock-specific components?
Tracking error decomposes into factor-based risk (from systematic bets like sector tilts, style exposures) and stock-specific risk (from individual security selection). This decomposition reveals whether active risk comes from replicable factor bets or genuine stock-picking skill.
What is active risk budgeting, and how does a plan sponsor allocate tracking error across managers?
Active risk budgeting allocates a total portfolio tracking error budget across multiple managers to maximize the aggregate information ratio. Managers with higher expected IR receive more active risk, and low correlation between managers' active returns improves the overall portfolio IR through diversification.
How does a calendar spread exploit time decay, and what market view does it express?
A calendar spread sells a near-term option and buys a longer-term option at the same strike, profiting from the fact that near-term options decay faster. The strategy profits when the stock stays near the strike price and when implied volatility increases.
How do credit transition probability matrices work, and how are they used in bond portfolio management?
Credit transition matrices show the probability of a bond migrating from one rating to another over a given period. Key applications include expected loss calculation, fallen angel risk assessment, and multi-year default probability estimation.
What framework does the CFA curriculum use for sovereign credit analysis?
Sovereign credit analysis evaluates five pillars: institutional strength, economic structure, external position, fiscal performance, and monetary flexibility. Local currency ratings typically exceed foreign currency ratings because governments can print domestic currency.
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