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What is the Modigliani-Miller dividend irrelevance theorem, and under what assumptions does it hold?
The Modigliani-Miller dividend irrelevance theorem states that in perfect capital markets, firm value is unaffected by dividend policy. The theory holds under assumptions of no taxes, no transaction costs, no asymmetric information, no agency costs, and fixed investment policy.
How do CFA Standards require fair dealing in trade allocation, and what allocation methods satisfy the standard?
Standard III(B) requires equitable trade allocation across all client accounts. Pro-rata allocation based on account size is the most common compliant method. Tiered service levels are permitted only with full upfront disclosure. No client should be systematically favored.
How does the abandonment option protect downside risk, and what determines the optimal time to exercise it?
The abandonment option acts as a put, allowing management to shut down a failing project and recover salvage value. Abandon when the salvage value exceeds the present value of remaining cash flows. This downside protection can transform marginal rejects into clear accepts.
What is jackknife estimation, and how does it reduce bias compared to standard plug-in estimators?
The jackknife systematically removes one observation at a time, computes the statistic on each reduced sample, and uses these leave-one-out estimates to detect and correct bias. It is deterministic unlike bootstrapping and particularly effective for bias reduction.
How does asset location strategy optimize after-tax returns by placing different asset types in taxable vs. tax-advantaged accounts?
Asset location places tax-inefficient assets (bonds, REITs, high-turnover funds) in tax-advantaged accounts and tax-efficient assets (index funds, growth stocks) in taxable accounts. Optimal location can add 0.2-0.75% annually to after-tax returns.
What is structural subordination, and why are holding company creditors at a disadvantage compared to operating subsidiary creditors?
Structural subordination occurs when holding company creditors have a junior claim relative to operating subsidiary creditors because the parent accesses subsidiary assets only as an equity holder — the most junior claim in bankruptcy. Both may issue senior unsecured debt, but the HoldCo recovery is systematically lower.
How does the Merton model derive a firm's probability of default from its equity value and volatility?
The Merton model treats equity as a call option on firm assets and solves simultaneous equations using observable equity value and volatility to derive unobservable asset value and asset volatility. The distance to default measures how many standard deviations assets are above the default boundary.
What is the theoretical relationship between CDS spreads and equity prices, and how do traders exploit divergences?
CDS spreads and equity prices are negatively correlated through the structural credit model: both reflect distance to default but through different instruments. When the two markets diverge, capital structure arbitrageurs trade the convergence by going long one and short the other.
How is the Shiller CAPE ratio calculated, and what are its strengths and limitations for market valuation?
The CAPE ratio divides the current real price of the market by the average real earnings over the prior 10 years, smoothing business cycle effects. While historically predictive of long-term returns, valid criticisms include accounting changes, the shift toward buybacks, and sector composition evolution.
How do you calculate a cash-adjusted P/E ratio, and why does it matter for companies with large cash balances?
Cash-adjusted P/E removes net cash per share from the stock price and after-tax interest income from EPS to isolate the multiple on the operating business. For cash-heavy companies, this reveals a meaningfully lower valuation than the headline P/E suggests.
What does the EV/Invested Capital ratio tell us, and how does it relate to economic value creation?
EV/Invested Capital measures how much the market pays per dollar of capital deployed. When ROIC exceeds WACC, EV/IC exceeds 1.0, indicating value creation. The ratio formally equals (ROIC - g) / (WACC - g), directly linking valuation to economic profit.
How is an earn-out (contingent consideration) measured at acquisition and subsequently remeasured?
Contingent consideration is recorded at fair value on the acquisition date, typically using probability-weighted scenarios discounted to present value. After acquisition, changes in fair value are recognized in profit or loss — not as adjustments to goodwill — creating earnings volatility that analysts usually adjust out.
Is an order or production backlog recognized as a separate intangible asset in a business combination?
An order backlog is recognized as a separate intangible asset in a business combination because it arises from contractual rights — binding purchase orders. It is valued using the excess earnings on committed orders, discounted to present value, and amortized over the fulfillment period.
How is a technology-based intangible asset identified and valued in a business combination?
Technology-based intangibles are valued using the relief-from-royalty method when externally licensed, multi-period excess earnings when they are the primary revenue driver, or replacement cost less obsolescence when they serve as supporting assets. Useful life is determined by the shorter of legal protection and economic viability.
How does Romer's endogenous growth theory explain sustained growth without relying on exogenous technology?
Romer's endogenous growth theory explains sustained growth through deliberate R&D investment and knowledge spillovers. Unlike physical capital, knowledge is non-rival and does not face diminishing returns, allowing economies that invest heavily in innovation to grow faster permanently.
What is an iron butterfly, and how does it differ from an iron condor in terms of construction and profit potential?
An iron butterfly sells an ATM straddle and buys OTM wings for protection, creating higher maximum profit but a narrower profit zone compared to an iron condor. Maximum profit occurs only if the underlying closes exactly at the short strike at expiration.
How are other post-employment benefits (OPEB) accounted for, and why are they often larger than pension obligations?
OPEB covers retiree healthcare and other non-pension benefits, accounted for similarly to DB pensions but typically unfunded and subject to volatile healthcare cost inflation. The accumulated post-retirement benefit obligation (APBO) often exceeds pension liabilities because plans lack dedicated assets.
How does confirmation bias distort investment research, and what safeguards can analysts implement?
Confirmation bias leads investment analysts to seek, interpret, and recall information that supports existing recommendations while dismissing contradictory evidence. Effective debiasing requires structured techniques like pre-mortem analysis, devil's advocate assignments, and quantitative review triggers.
How are Fibonacci retracement levels used to identify support and resistance, and do they actually work?
Fibonacci retracement levels (23.6%, 38.2%, 50%, 61.8%, 78.6%) are drawn between swing highs and lows to identify potential reversal zones. Their effectiveness is debated, but they gain practical value when they coincide with other technical indicators like moving averages and prior support/resistance.
How does Elliott wave theory work, and what are the rules for identifying impulse versus corrective waves?
Elliott Wave Theory describes markets moving in 5 impulse waves followed by 3 corrective waves, with this pattern repeating fractally at all timeframes. Three inviolable rules govern wave structure, while Fibonacci-based guidelines provide target levels for each wave's length and retracement.
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