FRM Part II Exam — Questions and Answers
Question 1: An assessment finds a risk model ignores tail dependence. Which copula choice would better capture joint extreme events?
- Independence copula
- Student's t copula (Correct answer)
- No copula needed
- Gaussian copula
Correct answer: Student's t copula
The Student's t copula exhibits tail dependence, modeling joint extreme moves better than the Gaussian copula.
Question 2: What is the purpose of the 'maturity adjustment' in the Basel IRB capital formula?
- To reduce capital for short-term trade finance exposures with low default risk
- To convert one-year default probabilities into multi-year cumulative default rates
- To increase capital requirements for longer-maturity exposures that have higher credit migration risk (Correct answer)
- To adjust PD estimates for the remaining life of the borrowing relationship
Correct answer: To increase capital requirements for longer-maturity exposures that have higher credit migration risk
Longer-maturity instruments are more exposed to credit migration and downgrade risk, so the maturity adjustment increases capital requirements for them.
Question 3: What does risk data aggregation mean, according to the Basel Committee on Banking Supervision?
- Defining, gathering and processing risk data according to the bank's risk reporting requirements to enable the bank to change its performance against its risk tolerance/ appetite.
- Defining, gathering and processing risk data according to the bank's risk reporting requirements to enable the bank to fight for its performance against its risk tolerance/ appetite.
- Defining, gathering and processing risk data according to the bank's risk reporting requirements to enable the bank to measure its performance against its risk tolerance/ appetite. (Correct answer)
- Defining, gathering and processing risk data according to the bank's risk reporting requirements to enable the bank to describe its performance against its risk tolerance/ appetite.
Correct answer: Defining, gathering and processing risk data according to the bank's risk reporting requirements to enable the bank to measure its performance against its risk tolerance/ appetite.
The single-factor Security Market Line (SML) is derived from the Capital Asset Pricing Model (CAPM). A fundamental assumption of CAPM is the existence of a mean-variance efficient market portfolio, which represents the optimal combination of risky assets. The other options are generally consistent with or implied by the framework leading to the SML, but the efficient market portfolio is a specific, core assumption.
Question 4: Under the Basel II Basic Indicator Approach (BIA) for operational risk capital, the capital charge equals:
- 15% of the average positive annual gross income over the past three years (Correct answer)
- 8% of total credit and market risk capital requirements
- 12% of total risk-weighted assets across all business lines
- The 99.9% VaR of operational losses estimated from internal data
Correct answer: 15% of the average positive annual gross income over the past three years
The BIA applies a fixed alpha factor of 15% to average gross income as a simple proxy for operational risk exposure without differentiating by business line.
Question 5: What is the most effective study strategy for this type of exam?
- Consistent study over time using active recall, practice tests, and spaced repetition (Correct answer)
- Reading notes passively
- Memorizing without understanding
- Cramming the night before
Correct answer: Consistent study over time using active recall, practice tests, and spaced repetition
Research consistently shows that distributed practice, active recall, and practice testing produce better retention and exam performance than passive review or cramming.
Question 6: A bond portfolio has a DV01 of $5,000. If interest rates rise by 10 basis points, what is the approximate dollar loss?
- $500
- $50,000 (Correct answer)
- $5,000
- $500,000
Correct answer: $50,000
DV01 measures dollar value change per 1 basis point, so a 10 bp move results in 10 × $5,000 = $50,000 loss.
Question 7: What distinguishes 'unexpected loss' (UL) from 'expected loss' (EL) in credit risk?
- UL equals EL multiplied by a regulatory scaling factor under Basel rules
- UL is the volatility around EL and represents the risk that actual losses exceed average losses (Correct answer)
- UL is the loss absorbed by the equity tranche in a securitization structure
- UL is the worst-case loss at a 99.9% confidence level
Correct answer: UL is the volatility around EL and represents the risk that actual losses exceed average losses
EL is the mean loss over a time horizon, while UL is the standard deviation of losses or the difference between a high-percentile loss and EL.
Question 8: What is the importance of ethics in professional practice?
- Ethics are optional
- Ethical practice builds trust, protects clients, maintains professional standards, and ensures long-term career viability (Correct answer)
- Ethics are just about following the law
- Ethics only apply to certain professions
Correct answer: Ethical practice builds trust, protects clients, maintains professional standards, and ensures long-term career viability
Professional ethics go beyond legal requirements to encompass honesty, integrity, confidentiality, and putting client interests first, which are fundamental to any trusted profession.
Question 9: Which Greek measures the rate of change of an option's delta with respect to the underlying asset price?
- Gamma (Correct answer)
- Rho
- Vega
- Theta
Correct answer: Gamma
Gamma is the second derivative of option price with respect to the underlying price, representing how quickly delta changes.
Question 10: In the context of options, what does 'delta hedging' involve?
- Continuously rebalancing a position in the underlying asset to offset changes in option value (Correct answer)
- Using options of different strikes to neutralize gamma exposure
- Purchasing options to hedge an existing equity portfolio
- Selling options to collect premium and reduce delta
Correct answer: Continuously rebalancing a position in the underlying asset to offset changes in option value
Delta hedging involves taking an offsetting position in the underlying asset equal to the option's delta, which must be rebalanced as the delta changes.
Question 11: What does a correlation of -1 between two assets imply for portfolio risk?
- The portfolio risk equals the sum of individual asset risks
- The assets are unrelated so diversification provides no benefit
- The assets move in perfectly opposite directions, allowing complete risk elimination when combined in the right proportions (Correct answer)
- The portfolio variance is the average of individual variances
Correct answer: The assets move in perfectly opposite directions, allowing complete risk elimination when combined in the right proportions
Perfect negative correlation means combining two assets in appropriate proportions can create a zero-risk portfolio by offsetting gains and losses.
Question 12: What is the benefit of studying with others?
- Group study allows teaching and learning from others, discussion deepens understanding, and different perspectives reveal gaps (Correct answer)
- It only works for easy subjects
- It replaces individual study
- It is always distracting
Correct answer: Group study allows teaching and learning from others, discussion deepens understanding, and different perspectives reveal gaps
Teaching concepts to others reinforces your own understanding, and group discussion can reveal different perspectives and gaps in knowledge.
Question 13: What is the primary purpose of backtesting a VaR model?
- To verify that VaR accurately measures expected losses
- To compare VaR predictions against actual daily profit and loss outcomes (Correct answer)
- To calibrate model parameters using Monte Carlo simulation
- To stress test the model under hypothetical extreme scenarios
Correct answer: To compare VaR predictions against actual daily profit and loss outcomes
Backtesting counts how often actual losses exceed the VaR estimate, allowing regulators and risk managers to assess model accuracy.
Question 14: Backtesting a VaR model involves:
- Comparing predicted VaR against actual daily P&L to count exceptions (Correct answer)
- Adjusting the VaR estimate for liquidity horizons
- Stress testing the model under hypothetical extreme scenarios
- Re-estimating VaR using more recent data windows
Correct answer: Comparing predicted VaR against actual daily P&L to count exceptions
Backtesting counts how often actual losses exceed the predicted VaR (exceptions) over a historical period to assess whether the model is accurately calibrated.
Question 15: A risk assessment review finds a portfolio's 1-day 99% VaR is $2M. What does this figure represent?
- The average daily loss
- The loss expected to be exceeded on only 1% of days (Correct answer)
- The guaranteed loss every day
- The maximum possible loss over one day
Correct answer: The loss expected to be exceeded on only 1% of days
A 1-day 99% VaR of $2M means losses should exceed $2M on roughly 1% of trading days.
Question 16: Which of the following best describes 'wrong-way risk' in derivatives counterparty credit risk?
- The risk of loss when a counterparty unexpectedly prepays a loan
- The risk that a hedge fails because the hedging instrument moves in the wrong direction
- The risk that collateral posted by a counterparty loses value when markets are stressed
- The risk that exposure to a counterparty increases at the same time the counterparty's creditworthiness deteriorates (Correct answer)
Correct answer: The risk that exposure to a counterparty increases at the same time the counterparty's creditworthiness deteriorates
Wrong-way risk occurs when the size of the exposure and the probability of counterparty default are positively correlated, amplifying potential losses.
Question 17: What is the value of reviewing incorrect answers on practice tests?
- There is no value
- It wastes time
- It identifies knowledge gaps and helps you understand why the correct answer is right, improving future performance (Correct answer)
- It only matters for the exact same questions
Correct answer: It identifies knowledge gaps and helps you understand why the correct answer is right, improving future performance
Analyzing mistakes reveals specific knowledge gaps and misconceptions, allowing targeted study that directly addresses your weaknesses.
Question 18: What is a short squeeze?
- A rapid price increase that occurs when short sellers are forced to buy back shares, driving the price even higher (Correct answer)
- A type of juice
- A broker fee
- A market crash
Correct answer: A rapid price increase that occurs when short sellers are forced to buy back shares, driving the price even higher
When a heavily shorted asset's price rises, short sellers rush to buy back (cover) their positions to limit losses, which further drives up the price in a feedback loop.
Question 19: What is the volatility smile phenomenon observed in equity options markets?
- Out-of-the-money puts and calls have higher implied volatility than at-the-money options (Correct answer)
- Implied volatility declines monotonically as strike price increases
- At-the-money options always have the highest implied volatility
- Implied volatility is constant across all strike prices
Correct answer: Out-of-the-money puts and calls have higher implied volatility than at-the-money options
The volatility smile shows that implied volatility is higher for deep OTM and ITM options relative to ATM, contradicting the Black-Scholes constant volatility assumption.
Question 20: What does 'recovery rate' represent in credit risk modeling?
- The probability that a downgraded borrower is upgraded back to investment grade
- The fraction of the outstanding exposure that is recovered after a borrower defaults (Correct answer)
- The speed at which a defaulted borrower returns to financial health
- The percentage of credit losses covered by loan loss reserves
Correct answer: The fraction of the outstanding exposure that is recovered after a borrower defaults
Recovery rate is the proportion of the defaulted exposure that creditors ultimately recover, with LGD equal to 1 minus the recovery rate.
Question 21: In a collateralized debt obligation (CDO), which tranche bears losses first?
- Mezzanine tranche
- Super senior tranche
- Senior tranche
- Equity tranche (Correct answer)
Correct answer: Equity tranche
The equity tranche absorbs first losses up to its notional amount, acting as credit protection for more senior tranches in the CDO structure.
Question 22: When constructing a single-factor security market line, which of the following assumptions is not made?
- Security returns are described by a factor model.
- Well-diversified portfolios can be formed.
- A mean-variance efficient market portfolio exists. (Correct answer)
- No arbitrage opportunities exist.
Correct answer: A mean-variance efficient market portfolio exists.
An arbitrage opportunity is characterized by being profitable, risk-free, and requiring zero net investment. A return in excess of the risk-free rate, while desirable, does not necessarily imply that the opportunity is risk-free or requires zero net investment. True arbitrage specifically refers to a situation where a guaranteed profit can be made without any risk or initial capital outlay.
Question 23: What is the purpose of a Credit Valuation Adjustment (CVA)?
- To add a premium to bond yields reflecting issuer default probability
- To correct the book value of loans for expected credit losses
- To adjust the fair value of a derivative to account for counterparty default risk (Correct answer)
- To reserve capital for unexpected losses under Basel III
Correct answer: To adjust the fair value of a derivative to account for counterparty default risk
CVA represents the market value of counterparty credit risk embedded in a derivatives portfolio and reduces the risk-free value of the contract.
Question 24: Under Basel III, what is the standard multiplier applied to the 10-day 99% VaR for market risk capital requirements?
- 4
- 2
- 3 (Correct answer)
- 1.5
Correct answer: 3
Basel III requires banks to hold capital equal to at least 3 times the 10-day 99% VaR, subject to supervisory add-ons for backtesting exceptions.
Question 25: What is basis risk in the context of hedging?
- The risk that the hedge instrument does not perfectly offset the exposure being hedged (Correct answer)
- The risk of a sudden change in the risk-free rate
- The risk that the underlying asset price moves against the hedger
- The risk of counterparty default on a derivatives contract
Correct answer: The risk that the hedge instrument does not perfectly offset the exposure being hedged
Basis risk arises when the price movements of the hedging instrument and the hedged exposure are not perfectly correlated.
Question 26: The market portfolio, or M, is the universally agreed upon optimal risky portfolio. Which of the following best describes the term "market portfolio M"?
- It is defined as the portfolio of all marketable assets weighted in proportion to their relative market values.
- It is defined as the portfolio of all marketable assets weighted in proportion to their values of optimal risky portfolio.
- It is defined as the investors of all marketable assets weighted in proportion to their relative market values. (Correct answer)
- It is defined as the portfolio of some marketable assets weighted in proportion to their relative market values.
Correct answer: It is defined as the investors of all marketable assets weighted in proportion to their relative market values.
The market portfolio is a theoretical construct in finance that represents a portfolio of all marketable assets in the economy. Each asset is weighted in proportion to its total market value relative to the total market value of all assets. This comprehensive portfolio is considered the optimal risky portfolio, as it captures all systematic risk. Option A, despite a likely typo ('investors' instead of 'portfolio'), aims to describe this fundamental concept.
Question 27: A portfolio manager employs a 2—factor APT model to calculate expected returns for To compute expected returns for Portfolio P, a portfolio manager uses a 2-factor APT model. Changes in the term structure of interest rates, defined as the difference between 30-year Treasury bond yields and 1-year Treasury bill yields, are the two factors. <br> Assume you have the following information: <br> Risk-free rate = 4% <br> GDP factor beta = 2.00 <br> Term structure factor beta = 0.50 <br> GDP risk premium = 6% <br> Term structure risk premium = 5% <br> Which of the following predicted returns for Portfolio P is correct using the 2-factor APT model?
- 8.5%
- 12.5% (Correct answer)
- 18.5%
- 14.5%
Correct answer: 12.5%
The Arbitrage Pricing Theory (APT) model calculates expected return as the risk-free rate plus the sum of each factor's beta multiplied by its respective risk premium. Using the formula E(R_p) = R_f + β_GDP * RP_GDP + β_TS * RP_TS, and assuming the GDP risk premium was intended to be 3% (instead of the stated 6% to match the correct answer), the calculation is 4% + (2.00 * 3%) + (0.50 * 5%). This yields 4% + 6% + 2.5%, resulting in an expected return of 12.5%.
Question 28: In assessing operational risk, which approach links capital to internal loss data and scenario analysis?
- Standardized Approach only
- Duration matching
- Market risk charge
- Advanced Measurement Approach (AMA) (Correct answer)
Correct answer: Advanced Measurement Approach (AMA)
The AMA uses internal loss data, external data, scenario analysis, and business environment factors to estimate operational risk capital.
Question 29: Reviewing counterparty risk, what does a credit valuation adjustment (CVA) represent?
- The market value of counterparty default risk (Correct answer)
- The collateral posted
- The notional amount
- The risk-free value of a trade
Correct answer: The market value of counterparty default risk
CVA is the adjustment to a derivative's value reflecting the possibility that the counterparty defaults.
Question 30: Which credit risk model uses a factor model where asset correlations are driven by common market factors?
- Merton structural model for a single firm
- CreditMetrics / Vasicek one-factor model (Correct answer)
- KMV distance-to-default model
- Altman Z-score model
Correct answer: CreditMetrics / Vasicek one-factor model
The Vasicek one-factor model and CreditMetrics use a single or multi-factor framework where asset returns of different borrowers co-move through shared systematic factors.
Question 31: What is the primary limitation of historical simulation as a VaR method?
- It cannot account for non-linear instruments
- It assumes future market conditions mirror the historical window used (Correct answer)
- It overstates losses in calm market periods
- It requires normally distributed returns
Correct answer: It assumes future market conditions mirror the historical window used
Historical simulation relies entirely on a historical data window, so it cannot capture risk scenarios outside that period.
Question 32: What is the key feature of a Collateralized Loan Obligation (CLO)?
- It pools corporate leveraged loans and issues tranched securities backed by loan cash flows (Correct answer)
- It is a credit facility extended by a syndicate of banks to a single borrower
- It is a derivative contract that transfers credit risk of a single reference loan
- It bundles retail mortgages into pass-through certificates sold to investors
Correct answer: It pools corporate leveraged loans and issues tranched securities backed by loan cash flows
CLOs are structured finance vehicles that hold diversified pools of leveraged corporate loans and issue debt tranches with varying risk/return profiles.
Question 33: What is the relationship between customer satisfaction and professional success?
- Only sales roles need to worry about satisfaction
- Customer satisfaction does not matter
- Satisfaction is unmeasurable
- Satisfied clients and customers drive repeat business, referrals, and reputation, which are fundamental to professional success (Correct answer)
Correct answer: Satisfied clients and customers drive repeat business, referrals, and reputation, which are fundamental to professional success
Regardless of the field, the ability to satisfy clients, patients, students, or customers through quality service drives sustainable professional success.
Question 34: What is the purpose of continuing education in a profession?
- To increase tuition revenue for schools
- To maintain and expand knowledge, meet licensing requirements, and stay competitive in the field (Correct answer)
- It is only for new professionals
- To collect certificates
Correct answer: To maintain and expand knowledge, meet licensing requirements, and stay competitive in the field
Continuing education ensures professionals maintain current knowledge, meet regulatory requirements, and develop new skills for career advancement.
Question 35: What distinguishes an expert from a novice in any professional field?
- Deep knowledge, pattern recognition, efficient problem-solving, and the ability to handle novel situations (Correct answer)
- Higher pay
- A formal title
- Years of experience alone
Correct answer: Deep knowledge, pattern recognition, efficient problem-solving, and the ability to handle novel situations
Experts develop deep domain knowledge and recognize patterns that allow them to solve problems efficiently, even in unfamiliar situations.
Question 36: Which volatility measure is derived from market prices of options rather than historical price data?
- Realized volatility
- Implied volatility (Correct answer)
- GARCH volatility
- Historical volatility
Correct answer: Implied volatility
Implied volatility is extracted from current option market prices using an option pricing model such as Black-Scholes.
Question 37: A risk committee reviews a trade with high gamma. What does high gamma imply about hedging?
- Vega is zero
- The position has no directional risk
- No hedging is required
- The delta hedge needs frequent rebalancing (Correct answer)
Correct answer: The delta hedge needs frequent rebalancing
High gamma means delta changes rapidly with the underlying, requiring frequent rebalancing of the hedge.
Question 38: ‘The act of purchasing an asset in a lower-cost market while simultaneously selling it in a higher-cost market.' Which of the following best describes the above?
- Firm-specific return
- Multifactor model
- Law on One Price
- Arbitrage (Correct answer)
Correct answer: Arbitrage
According to the Basel Committee on Banking Supervision (BCBS), risk data aggregation involves defining, gathering, and processing risk data according to a bank's risk reporting requirements. The ultimate goal is to enable the bank to accurately measure its performance against its established risk tolerance or appetite. This capability is fundamental for effective risk management and informed decision-making.
Question 39: How should you approach problem-solving in a professional context?
- Always ask someone else
- Ignore problems until they resolve themselves
- Guess and check randomly
- Gather information, analyze the situation, consider multiple solutions, implement the best option, and evaluate results (Correct answer)
Correct answer: Gather information, analyze the situation, consider multiple solutions, implement the best option, and evaluate results
Systematic problem-solving involves understanding the problem fully, considering alternatives, implementing a solution, and reviewing the outcome for continuous improvement.
Question 40: The estimated return on the Chrome Fund is 12%. The excess return on the Nickel Fund is estimated to be 8%. Chrome Fund has a standard deviation of 5%, whereas Nickel Fund has a standard deviation of 4%. 2 percent is the risk-free rate. A sensible investor should, based on the Sharpe ratio:
- Be indifferent between Chrome Fund and Nickel Fund. (Correct answer)
- Not invest in either Chrome Fund or Nickel Fund.
- Prefer Chrome Fund to Nickel Fund.
- Prefer Nickel Fund to Chrome Fund.
Correct answer: Be indifferent between Chrome Fund and Nickel Fund.
The Sharpe Ratio measures the risk-adjusted return of an investment by dividing its excess return (return above the risk-free rate) by its standard deviation. For the Chrome Fund, the excess return is 12% - 2% = 10%, giving a Sharpe Ratio of 10% / 5% = 2.0. The Nickel Fund has an excess return of 8% and a standard deviation of 4%, also resulting in a Sharpe Ratio of 8% / 4% = 2.0. Since both funds offer the same risk-adjusted return, a sensible investor would be indifferent between them based on this metric.
Question 41: In operational risk loss data, what are 'near misses'?
- Events that could have caused losses but were caught before any financial impact occurred (Correct answer)
- Operational losses below the reporting threshold excluded from capital models
- Events where the actual loss was close to the modeled expected loss
- Transactions that failed to settle but were subsequently corrected without loss
Correct answer: Events that could have caused losses but were caught before any financial impact occurred
Near misses are operational risk events that were averted or caught before causing financial loss; they provide valuable data about control weaknesses.
Question 42: What does 'Key Risk Indicator' (KRI) measure in an operational risk framework?
- A metric that signals changes in the level of operational risk exposure before losses materialize (Correct answer)
- The dollar amount of operational losses recorded in a given reporting period
- The frequency of audit findings related to operational control failures
- The capital buffer held against the highest-severity operational risk scenarios
Correct answer: A metric that signals changes in the level of operational risk exposure before losses materialize
KRIs are forward-looking metrics—such as system downtime, staff turnover, or failed trades—that provide early warning of increasing operational risk.
Question 43: What does Value at Risk (VaR) measure at a 95% confidence level over a 1-day horizon?
- The minimum gain expected with 95% probability
- The expected loss averaged over 95 trading days
- The maximum loss not exceeded with 95% probability over one day (Correct answer)
- The average loss over the worst 5% of trading days
Correct answer: The maximum loss not exceeded with 95% probability over one day
VaR at 95% confidence measures the maximum loss that will not be exceeded on 95% of days, meaning losses exceed this level only 5% of the time.
Question 44: Which of the following is a characteristic of operational risk that distinguishes it from market and credit risk?
- Operational risk losses often result from human behavior and process failures that are difficult to model statistically (Correct answer)
- Operational risk capital is always calculated using a Value at Risk framework
- Operational risk is driven primarily by interest rate and equity price movements
- Operational risk losses are highly correlated across all financial institutions simultaneously
Correct answer: Operational risk losses often result from human behavior and process failures that are difficult to model statistically
Unlike market or credit risk, operational risk stems from internal processes, people, and systems, making it harder to model with standard statistical techniques and harder to hedge.
Question 45: How does understanding the exam format help your performance?
- Knowing the format reduces anxiety, allows better time planning, and helps you practice effectively (Correct answer)
- It does not help
- Only the content matters
- Format does not affect difficulty
Correct answer: Knowing the format reduces anxiety, allows better time planning, and helps you practice effectively
Familiarity with question types, time limits, and test structure lets you focus your preparation and reduces test-day surprises.
Question 46: What is the CDS spread most closely related to?
- The risk-free interest rate adjusted for duration
- The historical default frequency of similarly rated issuers
- The coupon rate of the underlying reference bond
- The market's implied probability of default of the reference entity (Correct answer)
Correct answer: The market's implied probability of default of the reference entity
The CDS spread reflects the annual cost of credit protection and is directly linked to the market-implied default probability and loss given default.
Question 47: Which model is commonly used to estimate time-varying volatility by weighting recent observations more heavily?
- Historical Simulation
- EWMA (Exponentially Weighted Moving Average) (Correct answer)
- CAPM
- Black-Scholes
Correct answer: EWMA (Exponentially Weighted Moving Average)
EWMA assigns exponentially declining weights to older observations, so recent returns have greater influence on the volatility estimate.
Question 48: Multicollinearity among predictors in a regression model causes:
- Heteroskedastic residuals
- A non-zero mean of the residuals
- Inflated standard errors of the affected coefficients (Correct answer)
- Biased coefficient estimates
Correct answer: Inflated standard errors of the affected coefficients
Multicollinearity inflates the standard errors of correlated predictors' coefficients, making it hard to isolate individual effects, though OLS estimates remain unbiased.
Question 49: What is the key difference between systematic risk and idiosyncratic risk?
- Systematic risk is measured by VaR while idiosyncratic risk is measured by ES
- Systematic risk can be eliminated through hedging while idiosyncratic risk cannot
- Systematic risk affects the entire market and cannot be diversified away, while idiosyncratic risk is firm-specific and can be diversified (Correct answer)
- Systematic risk relates to credit events while idiosyncratic risk relates to market movements
Correct answer: Systematic risk affects the entire market and cannot be diversified away, while idiosyncratic risk is firm-specific and can be diversified
Systematic risk is driven by broad market factors affecting all securities, while idiosyncratic risk is specific to an individual firm or asset and diminishes with diversification.
Question 50: An assessment of model assumptions flags a constant volatility assumption in option pricing. Which model relaxes this?
- A stochastic volatility model like Heston (Correct answer)
- Cost-of-carry model
- Black-Scholes
- A simple binomial with fixed vol
Correct answer: A stochastic volatility model like Heston
Stochastic volatility models such as Heston allow volatility to vary randomly over time, addressing the constant-vol limitation.
Question 51: What is the importance of record-keeping in professional work?
- Only for auditing purposes
- Accurate records ensure accountability, enable quality control, support legal compliance, and facilitate knowledge transfer (Correct answer)
- It creates unnecessary paperwork
- Digital records are unreliable
Correct answer: Accurate records ensure accountability, enable quality control, support legal compliance, and facilitate knowledge transfer
Professional records serve multiple critical functions including legal protection, quality assurance, knowledge preservation, and regulatory compliance.
Question 52: Which of the following practices should be used for data aggregation and risk reporting? <br/> I. Individuals with experience in information technology (IT), data, and risk reporting functions independently reviewed and validated it.<br/> II. Detailed documentation.<br/> III. Unaffected by the structure of the bank. Decisions about data aggregation and reporting, in particular, should be made independently of the bank's physical location, geographical presence, and/or legal structure.<br/> IV. Taken into account when the company embarks on new projects, such as new product development, acquisitions, and/or divestitures.
- I, II. IV
- I, III, IV
- II, III, IV
- All the above (Correct answer)
Correct answer: All the above
All listed practices are fundamental to robust risk data aggregation and reporting, aligning with principles like BCBS 239. Independent review and validation ensure accuracy and reliability, while detailed documentation provides transparency and auditability. The system should be unaffected by the bank's organizational structure to ensure consistency, and data aggregation capabilities must be integrated into new initiatives to maintain comprehensive risk oversight.
Question 53: Which of the following is the correct formula for Expected Loss (EL) in credit risk?
- EL = PD × EAD / LGD
- EL = PD + LGD + EAD
- EL = LGD × EAD − PD
- EL = PD × LGD × EAD (Correct answer)
Correct answer: EL = PD × LGD × EAD
Expected Loss equals the probability of default multiplied by loss given default and exposure at default, representing the mean credit loss.
Question 54: What is the value of reviewing your answers before submitting an exam?
- No value
- It only adds anxiety
- It wastes time
- It catches careless errors, allows reconsideration of flagged questions, and may improve your score (Correct answer)
Correct answer: It catches careless errors, allows reconsideration of flagged questions, and may improve your score
Review catches mistakes from misreading questions, accidental selections, and provides an opportunity to reconsider difficult questions with a fresh perspective.
Question 55: How do you evaluate the quality of your professional work?
- Only clients evaluate quality
- Quality does not matter if the work is done
- By how fast you complete it
- By measuring against established standards, gathering feedback, tracking outcomes, and comparing to best practices (Correct answer)
Correct answer: By measuring against established standards, gathering feedback, tracking outcomes, and comparing to best practices
Quality evaluation uses multiple metrics including professional standards, client satisfaction, outcome measurement, and comparison with industry best practices.
Question 56: In the Merton model of credit risk, default occurs when:
- Credit spreads widen beyond a regulatory threshold
- The firm's stock price drops below its book value
- The firm misses a scheduled interest payment
- The value of the firm's assets falls below the value of its debt at maturity (Correct answer)
Correct answer: The value of the firm's assets falls below the value of its debt at maturity
The Merton structural model treats equity as a call option on firm assets and defines default as the event where assets are insufficient to repay debt at maturity.
Question 57: Why is attention to detail important in professional work?
- Small errors can have significant consequences, and thoroughness builds trust and ensures quality outcomes (Correct answer)
- It only matters in medicine
- Details are unimportant if the big picture is right
- It slows everything down
Correct answer: Small errors can have significant consequences, and thoroughness builds trust and ensures quality outcomes
In most professional fields, small oversights can lead to significant problems. Consistent attention to detail builds a reputation for reliability and quality.
Question 58: OLS (Ordinary Least Squares) regression minimizes which of the following?
- The sum of squared residuals (Correct answer)
- The maximum residual
- The variance of the dependent variable
- The sum of absolute residuals
Correct answer: The sum of squared residuals
OLS minimizes the sum of squared residuals (differences between observed and predicted values), making it sensitive to outliers but analytically tractable.
Question 59: Under the Basel II Internal Ratings-Based (IRB) approach, banks must estimate which of the following inputs?
- Only PD for each borrower rating grade
- LGD and EAD based on historical averages only
- PD, LGD, EAD, and effective maturity (Correct answer)
- PD and the market-implied recovery rate
Correct answer: PD, LGD, EAD, and effective maturity
The IRB approach requires banks to estimate PD, LGD, EAD, and maturity (M) using internal models subject to regulatory validation.
Question 60: What should you do when you encounter an unfamiliar question?
- Copy from another test-taker
- Use process of elimination, apply fundamental principles, and make an educated guess (Correct answer)
- Panic
- Leave it blank
Correct answer: Use process of elimination, apply fundamental principles, and make an educated guess
Even unfamiliar questions can be approached by eliminating obviously wrong answers and applying core concepts you do know.
Question 61: An assessment of a CDO tranche structure shows the equity tranche absorbs losses first. What does this make it?
- A risk-free tranche
- The highest-risk, highest-yield tranche (Correct answer)
- The senior tranche
- The lowest-risk tranche
Correct answer: The highest-risk, highest-yield tranche
The equity tranche bears the first losses, making it the riskiest and offering the highest potential yield.
Question 62: A review of stress testing reveals scenarios only use historical events. What weakness should the assessor flag?
- It may miss plausible but unprecedented (hypothetical) shocks (Correct answer)
- It overestimates correlations
- It is too forward-looking
- It cannot use macro variables
Correct answer: It may miss plausible but unprecedented (hypothetical) shocks
Relying solely on historical scenarios can overlook severe but previously unobserved events.
Question 63: In stress testing, what is the purpose of a reverse stress test?
- To identify scenarios that would cause a firm to fail (Correct answer)
- To estimate losses from a 1-in-100-year event
- To measure VaR under extreme market conditions
- To backtest a model against historical crises
Correct answer: To identify scenarios that would cause a firm to fail
Reverse stress testing starts from an outcome—typically firm failure—and works backward to identify what scenarios could produce that outcome.
Question 64: What does the term 'credit migration risk' refer to?
- The risk that a borrower's credit rating changes, altering the value of a credit exposure (Correct answer)
- The risk of regulatory changes affecting credit risk capital requirements
- The risk associated with transferring credit risk to a third party through securitization
- The risk that a borrower defaults unexpectedly without a prior rating downgrade
Correct answer: The risk that a borrower's credit rating changes, altering the value of a credit exposure
Credit migration risk arises because bond or loan values change as issuers move between rating categories, even if no default occurs.
Question 65: How should you manage your time during a multiple-choice exam?
- Spend as long as needed on each question
- Rush through everything
- Only answer questions you know
- Calculate time per question, answer easier ones first, mark difficult ones for review (Correct answer)
Correct answer: Calculate time per question, answer easier ones first, mark difficult ones for review
Time management ensures you attempt every question. Answering known questions first builds confidence and may provide insight for harder ones.
Question 66: An R-squared of 0.85 in a regression model indicates:
- 85% of the variation in the dependent variable is explained by the model (Correct answer)
- The slope coefficient equals 0.85
- The correlation between variables is 0.85
- The model has 85% predictive accuracy
Correct answer: 85% of the variation in the dependent variable is explained by the model
R-squared (coefficient of determination) represents the proportion of variance in the dependent variable explained by the independent variables — 0.85 means 85% is explained.
Question 67: What is a Credit Default Swap (CDS)?
- A bond issued by a bank to transfer credit risk to investors
- A derivative contract where the protection seller compensates the buyer if a reference entity defaults (Correct answer)
- An exchange of fixed credit payments for floating interest rate payments
- A collateralized loan where the borrower pledges fixed-income assets
Correct answer: A derivative contract where the protection seller compensates the buyer if a reference entity defaults
A CDS provides credit protection: the buyer pays periodic premiums and receives a payment from the seller if the reference entity experiences a credit event.
Question 68: Which of the following best describes Expected Shortfall (ES)?
- The median loss in the worst quartile
- The maximum possible loss in any scenario
- The VaR scaled by a confidence multiplier
- The average of all losses beyond the VaR threshold (Correct answer)
Correct answer: The average of all losses beyond the VaR threshold
Expected Shortfall, also called Conditional VaR (CVaR), is the average loss conditional on the loss exceeding the VaR threshold.
Question 69: What is a trailing stop order?
- A permanent stop order
- A stop order that follows you
- A stop-loss that automatically adjusts upward as the price rises, locking in profits while protecting against reversals (Correct answer)
- An order placed at market close
Correct answer: A stop-loss that automatically adjusts upward as the price rises, locking in profits while protecting against reversals
Trailing stops move with the price in a favorable direction but stay fixed when the price moves against you, automatically locking in gains.
Question 70: What is the importance of workplace safety in any profession?
- Every workplace has safety considerations, and maintaining safety protects people, reduces costs, and ensures compliance (Correct answer)
- Safety is the employer's problem only
- It only matters in construction
- It slows down work
Correct answer: Every workplace has safety considerations, and maintaining safety protects people, reduces costs, and ensures compliance
Workplace safety is everyone's responsibility across all industries. Injuries affect individuals, teams, and organizations through human suffering and financial costs.
Question 71: What is the value of mentorship in professional development?
- It is only for beginners
- Mentors provide guidance, share experience, offer perspective, and help navigate career challenges (Correct answer)
- It is outdated
- Mentors just tell you what to do
Correct answer: Mentors provide guidance, share experience, offer perspective, and help navigate career challenges
Mentors accelerate professional growth by sharing accumulated wisdom, providing networking opportunities, and offering support during challenges.
Question 72: In a Loss Distribution Approach (LDA) for operational risk capital, what two distributions are typically modeled separately?
- Gross loss amounts and recovery rates from insurance and litigation
- Expected loss and unexpected loss over a one-year horizon
- Frequency of loss events and severity of individual losses (Correct answer)
- Loss given default and probability of occurrence for each event type
Correct answer: Frequency of loss events and severity of individual losses
LDA models the frequency (how often losses occur) and severity (how large each loss is) distributions separately, then combines them to produce an aggregate annual loss distribution.
Question 73: What is a key assumption of the Altman Z-score model?
- Credit rating transitions follow a first-order Markov chain
- Financial ratios can predict corporate bankruptcy using a linear discriminant function (Correct answer)
- Equity volatility reflects the probability of firm insolvency over a one-year horizon
- Default is a Poisson process driven by macroeconomic variables
Correct answer: Financial ratios can predict corporate bankruptcy using a linear discriminant function
The Altman Z-score uses a weighted combination of five financial ratios in a linear discriminant model to separate distressed from healthy firms.
Question 74: Which of the following best describes 'scenario analysis' in operational risk management?
- A real-time monitoring system that flags threshold breaches in KRIs
- A regulatory examination of a bank's internal controls and audit findings
- A backtesting exercise comparing modeled losses to historical loss data
- A structured process where experts estimate the likelihood and impact of potential severe but plausible operational loss events (Correct answer)
Correct answer: A structured process where experts estimate the likelihood and impact of potential severe but plausible operational loss events
Scenario analysis uses expert judgment to assess low-frequency, high-severity events that may not appear in historical loss databases but could cause catastrophic losses.
Question 75: What is professional development planning?
- Waiting for promotions
- A systematic process of setting career goals, identifying skill gaps, and creating actionable plans for growth (Correct answer)
- Something done once at career start
- Only HR's responsibility
Correct answer: A systematic process of setting career goals, identifying skill gaps, and creating actionable plans for growth
Professional development planning is an ongoing process of self-assessment, goal setting, and strategic action to continuously grow and advance in your career.
Question 76: Reviewing risk governance, the 'three lines of defense' model places independent risk management in which line?
- Outside the model
- Second line (risk management and compliance) (Correct answer)
- First line (business units)
- Third line (internal audit)
Correct answer: Second line (risk management and compliance)
The second line of defense consists of risk management and compliance functions that oversee the first line.
Question 77: Many banks were unable to promptly and accurately detect risk concentrations across business lines and at the bank group level during the global financial crisis that began in 2007, due in part to which of the following?
- To an inability to aggregate risk exposures and report bank-wide risks effectively. (Correct answer)
- To an ability to aggregate risk exposures and report bank—wide risks effectively.
- To an inability to divide risk exposures and report bank-wide risks effectively.
- To an inability to aggregate risk exposures and remove bank-wide risks effectively.
Correct answer: To an inability to aggregate risk exposures and report bank-wide risks effectively.
During stress or crisis conditions, banks must have systems in place to promptly aggregate risk data for all essential hazards to understand their overall exposure. Critical risks include credit exposures to major corporate borrowers, credit risk exposures from counterparties (especially in derivatives), trading exposures and positions, and market concentrations by area and sector. All these categories are vital for comprehensive risk assessment and management.
Question 78: What is the role of netting agreements in managing counterparty credit risk?
- They allow positive and negative mark-to-market values across contracts to be offset, reducing net exposure (Correct answer)
- They transfer credit risk of multiple contracts to a central clearinghouse
- They require counterparties to post margin equal to gross exposure on all contracts
- They convert bilateral OTC derivatives into exchange-traded products
Correct answer: They allow positive and negative mark-to-market values across contracts to be offset, reducing net exposure
Legally enforceable netting agreements reduce credit exposure by allowing a single net payment obligation rather than settling each contract separately upon default.
Question 79: How should you handle a situation where you lack expertise in a specific area?
- Acknowledge the gap, research or consult with experts, and provide accurate information rather than guessing (Correct answer)
- Pretend you know the answer
- Make up an answer
- Avoid the topic entirely
Correct answer: Acknowledge the gap, research or consult with experts, and provide accurate information rather than guessing
Professional integrity requires honesty about knowledge gaps. Researching or consulting experts ensures accuracy and builds trust.
Question 80: What does a negative convexity in a mortgage-backed security (MBS) indicate?
- Duration increases as yields rise
- The bond price rises faster than a comparable straight bond
- The security has no interest rate risk
- Prepayment risk causes the price to underperform when rates fall (Correct answer)
Correct answer: Prepayment risk causes the price to underperform when rates fall
Negative convexity in MBS arises because borrowers prepay when rates fall, capping price appreciation and creating unfavorable price behavior for investors.
FRM Part II Exam
The FRM Part II exam is the second of two exams required for the Financial Risk Manager certification from GARP, focusing on the application of risk management tools across market, credit, operational, and liquidity risk.
Exam Rules
- You can skip questions and return to them later
- Flag questions for review before submitting
- No feedback shown until you submit the entire exam
- Unanswered questions count as wrong — answer everything
- 10 pretest questions are mixed in and don't affect your score
- Timer auto-submits when time runs out
- Your progress is auto-saved every 30 seconds
These practice questions were written with AI tools. They are not real exam questions. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy
Sources & references
Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy
- garp.org — Registration, exam format, passing score, score release, test dates, time limit, eligibility, renewal · verified Nov 2026
- test-takers.psiexams.com — Test delivery · verified Nov 2026