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CFA Level I Updated
How do I calculate NPV when the cash flows are unequal each year? I keep getting the wrong answer.
Great question — unequal (or "mixed") cash flow problems are among the most commonly tested TVM concepts on the CFA Level I exam. The key insight is that each cash flow must be discounted individually back to the present, and then you sum them all up.
How do FIFO, LIFO, and weighted average affect financial statements differently?
FIFO, LIFO, and weighted average are cost flow assumptions that affect COGS, gross profit, ending inventory, and taxes differently. In a rising-price environment, FIFO produces the highest net income and balance sheet inventory, while LIFO produces the lowest.
What is the J-curve effect in private equity fund returns?
The J-curve describes how private equity funds typically show negative returns in early years (due to management fees, slow deployment, and conservative valuations) before returns improve significantly in later years as portfolio companies are grown and exited.
How do you calculate WACC and why does each component matter?
WACC blends the after-tax cost of debt and cost of equity weighted by their market values: WACC = (E/V) × Re + (D/V) × Rd × (1 - T). The tax adjustment on debt reflects the deductibility of interest expense.
Can someone explain call and put option payoffs with diagrams?
A long call pays max(S - K, 0) with unlimited upside and loss limited to the premium. A long put pays max(K - S, 0) with gain capped at K minus premium. Payoff is the raw exercise value; profit subtracts the premium paid.
How do I calculate portfolio risk for a two-asset portfolio? I keep messing up the formula.
Portfolio variance for two assets uses the formula σ²_p = w₁²σ₁² + w₂²σ₂² + 2w₁w₂ρ₁₂σ₁σ₂. The key insight is that because correlation is typically less than 1, the portfolio's actual risk is lower than the weighted average of individual risks.
How do hedge fund fee structures work, and what is the high-water mark provision?
Hedge funds typically charge 2% management fees plus 20% incentive fees. The high-water mark prevents charging performance fees on recovered losses — the fund must exceed its previous peak NAV before earning incentive fees again.
What are the three forms of the Efficient Market Hypothesis, and why do market anomalies seem to contradict them?
The three forms of EMH differ in which information is reflected in prices: weak (past prices), semi-strong (all public info), and strong (all info including insider). Anomalies may reflect risk premiums, data mining, or the joint hypothesis problem.
How should an analyst handle conflicts of interest under the CFA Standards?
Standard VI(A) requires full and fair disclosure of all matters that could impair independence and objectivity, including personal holdings, firm relationships, compensation arrangements, and board memberships. Disclosure must be prominent, plain language, and timely.
What are the different exchange rate regimes and why do countries choose fixed vs. floating rates?
Exchange rate regimes range from hard pegs (dollarization, currency boards) to free floats. The impossible trinity framework explains why countries can't simultaneously have fixed rates, free capital flows, and independent monetary policy.
What's the correct way to interpret a confidence interval? I keep losing marks on practice exams.
The most common mistake is saying 'there is a 95% probability that the population mean is in the interval.' The population mean is fixed — the correct interpretation is that 95% of similarly constructed intervals would contain the true mean.
Why do we need a convexity adjustment and how does it improve the duration-based price estimate?
Duration gives a straight-line estimate of price changes, but bond prices actually move along a curve. Convexity captures that curvature and corrects duration's error, providing a more accurate price estimate especially for large yield changes.
How do I calculate Macaulay duration and modified duration step by step?
Duration is the single most important risk measure in fixed income. Macaulay duration is the weighted-average time to receive a bond's cash flows, while modified duration adjusts it to estimate the percentage price change for a given yield shift.
How do the three depreciation methods compare, and when would a company choose each one?
The three depreciation methods — straight-line, double-declining balance, and units-of-production — all result in the same total depreciation over an asset's life but differ in timing. The choice affects reported earnings, tax cash flows, and key ratios differently each year.
How does IFRS 16 change lease accounting and why does it matter for ratio analysis?
IFRS 16 fundamentally changed lease accounting by requiring lessees to recognize nearly all leases on the balance sheet as a right-of-use asset and lease liability. This affects key ratios like D/E, EBITDA, and interest coverage, making it one of the most testable topics in CFA Level I FRA.
What does a responsible AI framework look like for financial services, and what governance structures should firms implement?
A responsible AI framework for financial services requires an AI ethics committee, tiered model governance policies, pre-deployment bias and explainability testing, and ongoing monitoring with feedback loops. Human accountability must be maintained for all AI-driven decisions.
How must composites be constructed under GIPS, and what common composite construction errors lead to non-compliance?
GIPS requires all actual fee-paying discretionary portfolios to be included in at least one composite. You cannot exclude underperforming portfolios. Composites must have clear definitions, and portfolio assignments must follow the mandate -- not performance results.
When and why are stock options excluded from diluted EPS as anti-dilutive, and how do you test for anti-dilution?
Stock options are anti-dilutive and excluded from diluted EPS when their exercise price exceeds the average market price (out-of-the-money). Additionally, when a company reports a net loss, all potentially dilutive securities are automatically anti-dilutive because including them would reduce the reported loss per share.
How does the put-call ratio work as a sentiment indicator, and why is extreme bearish sentiment often a bullish contrarian signal?
The put-call ratio measures put volume relative to call volume as a sentiment gauge. Extreme readings above 1.10 indicate panic and often mark contrarian buying opportunities because most sellers are already positioned. Combine with VIX and survey data for strongest signals.
What are market breadth indicators, and how does the advance-decline line signal the health of a market rally?
Market breadth indicators like the advance-decline line measure how many stocks participate in a market move. When an index hits new highs but the A/D line diverges downward, the rally is driven by narrow leadership and is historically more vulnerable to reversal.
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