Expected Shortfall from Distribution Loss distribution tail: - 1% worst losses average –9% - 5% VaR = –5% ES(5%) = ?
Select an option first.
Correct answer: C — –7%
Explanation: ES = average of losses worse than VaR. Given tail average = –9% for 1% tail, approximate ES(5%) ≈ weighted between –5% and –9% → ≈ –7%.
Question 215
A: E(R)=8%, σ=10% Asset B: E(R)=12%, σ=20% Correlation = 0.2 Risk‑free = 2% Weight in A in tangency portfolio is closest to:
Select an option first.
Correct answer: C — 70%
Explanation: Compute Sharpe ratios and covariance → A has higher risk‑adjusted contribution → weight ~70%.
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Correct answer: B — Re‑estimate using a moving window and test on the next period
Explanation: B is correct: Rolling windows mimic real‑time rebalancing by shifting the estimation window forward each period. A wrong: That’s a single‑sample backtest. C wrong: Removes the out‑of‑sample test period. D wrong: Out‑of‑sample data is never used for estimation.
Question 228
In‑sample data is:
Select an option first.
Correct answer: B — Used to estimate model parameters
Explanation: B correct: In‑sample = estimation window. A wrong: Reporting uses both samples. C wrong: Stress tests use shocks, not estimation windows. D wrong: In‑sample data is essential.
Question 229
Out‑of‑sample data is:
Select an option first.
Correct answer: B — Used to test performance after estimation
Explanation: B correct: Out‑of‑sample = testing period. A wrong: Calibration uses in‑sample. C wrong: Survivorship bias is unrelated. D wrong: Scenario analysis is separate.
Question 230
Data snooping is:
Select an option first.
Correct answer: B — Overfitting by testing many variations until one “works”
Explanation: B correct: Repeated testing until something fits by chance. A wrong: Sample size issue, not snooping. C wrong: Variable choice doesn’t define snooping. D wrong: Modeling error, not snooping.
Question 231
Maximum drawdown measures:
Select an option first.
Correct answer: B — Largest peak‑to‑trough decline
Explanation: B correct: Captures worst cumulative loss. A wrong: Average ≠ extreme. C wrong: Single‑day measure only. D wrong: Downside deviation is different.
Question 232
An equal‑weight factor portfolio:
Select an option first.
Correct answer: B — Assigns identical weights to each factor sleeve
Explanation: B correct: Equal‑weight = same weight for each factor. A wrong: That’s volatility‑scaled weighting. C wrong: Market‑cap applies to securities, not factor sleeves. D wrong: Risk‑parity equalizes risk, not weights.
Question 233
A risk‑parity factor portfolio aims to:
Select an option first.
Correct answer: B — Equalize each factor’s contribution to total portfolio risk
Explanation: B correct: Risk‑parity allocates weights so each factor contributes the same share of total volatility. A wrong: Expected return is not the objective. C wrong: That’s benchmark replication. D wrong: Tracking error is irrelevant to risk‑parity.
Question 234
A covariance matrix represents:
Select an option first.
Correct answer: B — Variances and covariances among assets or factors
Explanation: B correct: It contains variances on the diagonal and covariances off‑diagonal. A wrong: Correlation matrix is different. C wrong: Volatility is only one component. D wrong: Returns are not part of the matrix.
Question 235
Skewness measures:
Select an option first.
Correct answer: B — Asymmetry of a return distribution
Explanation: B correct: Skewness shows whether returns lean toward positive or negative extremes. A wrong: That’s kurtosis. C wrong: Mean is unrelated. D wrong: Correlation is a different concept.
Question 236
Kurtosis measures:
Select an option first.
Correct answer: A — The heaviness of distribution tails
Explanation: A correct: High kurtosis = fat tails, more extreme outcomes. B wrong: Yield curve slope is unrelated. C wrong: Downside deviation is a volatility measure. D wrong: Factor count is unrelated.
Question 237
Conditional VaR (CVaR) is:
Select an option first.
Correct answer: B — The average loss beyond the VaR threshold
Explanation: B correct: CVaR captures expected loss after VaR is breached. A wrong: That’s VaR itself. C wrong: Tail volatility ≠ CVaR. D wrong: PD is a credit metric.
Question 238
Liquidity‑adjusted VaR accounts for:
Select an option first.
Correct answer: C — The cost and price impact of liquidating positions
Explanation: C correct: It adds slippage and market‑impact costs to VaR. A wrong: Volatility alone ignores liquidity. B wrong: Correlation stress is separate. D wrong: Historical losses don’t capture liquidity effects.
Question 239
Incremental VaR (IVaR) measures:
Select an option first.
Correct answer: B — Change in VaR from adding or removing a position
Explanation: B correct: IVaR quantifies marginal risk contribution. A wrong: That’s overall VaR. C wrong: Single‑asset VaR is not incremental. D wrong: Benchmark VaR is unrelated.
Question 240
Component VaR (CVaR) is:
Select an option first.
Correct answer: B — Portion of total VaR attributable to a specific asset
Explanation: B correct: CVaR decomposes total VaR into asset‑level contributions. A wrong: Largest position may not be largest contributor. C wrong: Risk‑free asset has no VaR. D wrong: Benchmark VaR is separate.
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