Community Q&A
Expert-verified answers to your financial certification questions. Ask, learn, and connect with fellow candidates.
CFA Updated
How does comparative advantage work with actual numbers, and why does it lead to trade even when one country is better at everything?
Comparative advantage demonstrates that even when one country is more efficient at producing everything, both countries benefit from specializing in the good where their relative efficiency is greatest and trading.
Why does an option's time value decay accelerate as expiration approaches?
Time value decay accelerates as expiration approaches because option time value is proportional to the square root of time remaining, not time itself. This mathematical relationship means the last month before expiration destroys the most value.
Why does a callable bond have lower effective duration than an otherwise identical non-callable bond, and what is negative convexity?
Callable bonds behave very differently from plain vanilla bonds. The issuer has the right to redeem the bond at the call price when rates fall, creating an asymmetric payoff that truncates the upside.
How do I reconcile FCFE and FCFF — what is the bridge between them?
The bridge from FCFF to FCFE is: FCFE = FCFF - Interest x (1 - tax rate) + Net Borrowing. FCFF represents cash available to all capital providers, while FCFE removes debt-related flows to isolate cash available to equity holders only.
How does the 5-factor DuPont decomposition work? I understand the 3-factor version but the extended one confuses me.
The 5-factor DuPont model breaks ROE into tax burden, interest burden, EBIT margin, asset turnover, and equity multiplier. This lets you pinpoint whether a company's ROE comes from operational excellence or financial leverage.
How do I calculate when a margin call is triggered using the maintenance margin formula?
The margin call trigger price for a long position equals P_0 x (1 - Initial Margin) / (1 - Maintenance Margin). For a short position, the formula is P_0 x (1 + Initial Margin) / (1 + Maintenance Margin). Here is a step-by-step example with verification.
When and how do you impair an equity method investment, and is the write-down reversible?
Equity method investments are impaired when fair value drops below carrying amount and the decline is other-than-temporary. The key IFRS vs. US GAAP difference is that IFRS allows reversal of impairment losses while US GAAP does not.
What is the difference between a contract asset and a contract liability, and how do they appear on the balance sheet?
The distinction hinges on whether the right to payment is conditional or unconditional. A contract asset arises when the company has earned revenue but does not yet have an unconditional right to payment, while a contract liability exists when the customer has paid before the company has performed.
How does an IPS for a defined benefit pension plan differ from an individual IPS, and how do I assess pension risk tolerance?
A DB pension plan IPS uses the same RRTTLLU framework but focuses on funded status, sponsor strength, and workforce demographics rather than personal lifestyle. An overfunded plan with a strong sponsor and young workforce generally has above-average risk tolerance.
How do I calculate the after-tax cost of debt, and why does the tax shield matter for WACC?
The after-tax cost of debt equals YTM times (1 - tax rate), reflecting the tax deductibility of interest expense. Always use the yield to maturity rather than the coupon rate because YTM represents the current market cost of borrowing.
What are the grey areas around Standard II(A) Material Nonpublic Information, and how does the mosaic theory work?
Standard II(A) prohibits acting on information that is both material and nonpublic. The mosaic theory protects analysts who combine public information with individually non-material nonpublic pieces to form investment conclusions.
How do I interpret covariance in a portfolio context, and why is correlation often more useful?
Covariance captures the directional co-movement between two variables, but its magnitude is hard to interpret because it depends on the units of measurement. Correlation standardizes covariance to a -1 to +1 scale, making it immediately comparable across any pair of assets.
How do you convert between bank discount yield, holding period yield, money market yield, and bond equivalent yield?
The four money market yields differ in two dimensions: the denominator (face value for BDY vs. purchase price for the others) and the day count (360 vs. 365). Start by computing the holding period yield, then annualize with 360/t for money market yield or 365/t for bond equivalent yield. BDY is always the lowest.
FIFO vs LIFO — how exactly do they affect COGS, ending inventory, and net income during rising prices?
This is a classic CFA Level I FRA question and it shows up on nearly every exam. The key is understanding how the cost flow assumption determines which costs go to COGS (income statement) versus ending inventory (balance sheet). Under rising prices, FIFO produces lower COGS, higher ending inventory, and higher net income compared to LIFO.
How do you derive the sustainable growth rate from the DuPont identity, and how does it connect to valuation?
The sustainable growth rate g = b x ROE can be decomposed using DuPont into g = retention ratio x net profit margin x asset turnover x equity multiplier. This full decomposition reveals which operational levers drive growth and directly feeds into dividend discount model valuations.
What is a currency overlay and when should an investor hedge foreign currency exposure?
A currency overlay is a separate portfolio management layer that manages foreign currency exposures independently from underlying investment decisions. The key decision is the optimal hedge ratio, which balances hedging costs against the volatility reduction from removing currency risk.
What are the pros and cons of direct vs. indirect real estate investment? When should I use each?
Direct real estate offers control, tax benefits, and leverage but requires high capital and is illiquid. Indirect investment through REITs and funds provides liquidity and diversification but sacrifices control and may have higher market correlation.
What's the difference between supervised and unsupervised learning, and how are they used in finance?
Supervised learning uses labeled data to predict outcomes like defaults or returns. Unsupervised learning finds hidden patterns in unlabeled data, useful for clustering stocks or detecting market regimes. Finance uses both extensively.
How does pecking order theory differ from trade-off theory in explaining how firms actually raise capital?
Trade-off theory says firms target an optimal debt ratio balancing tax shields against distress costs. Pecking order theory says firms follow a financing hierarchy — internal funds first, then debt, then equity — driven by information asymmetry rather than a target ratio.
What is a swaption and how does the payer vs. receiver distinction work in practice?
A swaption is an option on an interest rate swap. The holder has the right, but not the obligation, to enter into a swap at a predetermined fixed rate on a future date. Payer swaptions benefit from rising rates while receiver swaptions benefit from falling rates.
Want unlimited access?
You've browsed several pages. Sign in to save your spot, bookmark questions, and unlock all 2,561 CFA community questions plus expert-verified study materials.
Have a Question? Ask Our Experts
Register to ask questions, get expert-verified answers, and connect with fellow certification candidates preparing for CFA, FRM, CIA, CPA, and EA exams.