FRM Part II Exam — Questions and Answers

Question 1: Which capital buffer under Basel III can be drawn down during periods of stress to absorb losses?

Risk-weighted asset floor
Leverage exposure measure
Capital conservation buffer (Correct answer)
Minimum CET1 requirement

Correct answer: Capital conservation buffer

The capital conservation buffer is designed to be built in good times and drawn down to absorb losses in stress.

Question 2: Which model is commonly used to estimate time-varying volatility by weighting recent observations more heavily?

EWMA (Exponentially Weighted Moving Average) (Correct answer)
Black-Scholes
CAPM
Historical Simulation

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 3: Heteroskedasticity in regression analysis refers to:

Serial correlation in the residuals
Non-constant variance of the error terms across observations (Correct answer)
Non-normality of the dependent variable
Correlation among independent variables

Correct answer: Non-constant variance of the error terms across observations

Heteroskedasticity occurs when the variance of error terms is not constant across observations, violating an OLS assumption and affecting the efficiency of estimates.

Question 4: How has digital transformation affected professional practices?

Digital tools have increased efficiency, changed workflows, created new roles, and raised expectations for speed and accuracy (Correct answer)
Only in tech industries
It has not
It reduced job quality

Correct answer: Digital tools have increased efficiency, changed workflows, created new roles, and raised expectations for speed and accuracy

Digital transformation has fundamentally changed how professionals work across all industries, requiring adaptation to new tools and methods.

Question 5: When constructing a single-factor security market line, which of the following assumptions is not made?

No arbitrage opportunities exist.
A mean-variance efficient market portfolio exists. (Correct answer)
Well-diversified portfolios can be formed.
Security returns are described by a factor model.

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 6: What is the CDS spread most closely related to?

The coupon rate of the underlying reference bond
The risk-free interest rate adjusted for duration
The historical default frequency of similarly rated issuers
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 7: 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 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 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 describe 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.

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 8: Under Basel III, what is the standard multiplier applied to the 10-day 99% VaR for market risk capital requirements?

2
1.5
4
3 (Correct answer)

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 9: How should you manage test anxiety?

Take medication only
Use preparation, deep breathing, positive self-talk, and arrive early to feel in control (Correct answer)
Ignore it
Test anxiety cannot be managed

Correct answer: Use preparation, deep breathing, positive self-talk, and arrive early to feel in control

A combination of thorough preparation, relaxation techniques, positive visualization, and practical measures like early arrival helps manage test anxiety effectively.

Question 10: Multicollinearity among predictors in a regression model causes:

A non-zero mean of the residuals
Heteroskedastic 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 11: An assessment of a bank's capital adequacy under Basel III focuses on which primary ratio?

Common Equity Tier 1 (CET1) ratio (Correct answer)
Loan-to-deposit ratio
Current ratio
Price-to-earnings ratio

Correct answer: Common Equity Tier 1 (CET1) ratio

Basel III emphasizes the CET1 capital ratio as the core measure of a bank's loss-absorbing capacity.

Question 12: Under the Basel II Internal Ratings-Based (IRB) approach, banks must estimate which of the following inputs?

PD, LGD, EAD, and effective maturity (Correct answer)
LGD and EAD based on historical averages only
PD and the market-implied recovery rate
Only PD for each borrower rating grade

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 13: In stress testing, what is the purpose of a reverse stress test?

To estimate losses from a 1-in-100-year event
To backtest a model against historical crises
To identify scenarios that would cause a firm to fail (Correct answer)
To measure VaR under extreme market conditions

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 14: When should you change an answer during exam review?

Change at least 30% of answers
Only when you have a clear, specific reason to believe the original answer was wrong (Correct answer)
Never
Always change uncertain answers

Correct answer: Only when you have a clear, specific reason to believe the original answer was wrong

Research shows that changes based on clear reasoning improve scores, while changes based on anxiety or second-guessing tend to decrease scores.

Question 15: What distinguishes an expert from a novice in any professional field?

A formal title
Deep knowledge, pattern recognition, efficient problem-solving, and the ability to handle novel situations (Correct answer)
Higher pay
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 16: How do you evaluate the quality of your professional work?

By measuring against established standards, gathering feedback, tracking outcomes, and comparing to best practices (Correct answer)
Only clients evaluate quality
By how fast you complete it
Quality does not matter if the work is done

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 17: How does specialization compare to generalization in career development?

Neither matters
Both have value — specialization provides depth and expertise, while generalization provides breadth and adaptability (Correct answer)
Generalization is always better
Specialization is always better

Correct answer: Both have value — specialization provides depth and expertise, while generalization provides breadth and adaptability

The ideal often combines deep specialization in a core area with broad understanding of related fields (T-shaped skills), providing both expertise and versatility.

Question 18: Which risk measure was recommended by the Basel Committee as a replacement for VaR in the Fundamental Review of the Trading Book (FRTB)?

VaR at 99.9%
Expected Shortfall at 97.5% (Correct answer)
Stressed VaR at 95%
Conditional Drawdown at Risk

Correct answer: Expected Shortfall at 97.5%

FRTB replaced 10-day 99% VaR with Expected Shortfall at 97.5% to better capture tail risk and reduce incentives for risk underestimation.

Question 19: What is the significance of pre-market and after-hours trading?

It is only for institutions
Trading that occurs outside regular market hours, often with lower volume, wider spreads, and higher volatility (Correct answer)
It follows different rules entirely
It does not exist

Correct answer: Trading that occurs outside regular market hours, often with lower volume, wider spreads, and higher volatility

Extended hours trading allows reactions to news and earnings before and after the regular session, but typically with less liquidity and wider bid-ask spreads.

Question 20: What is the volatility smile phenomenon observed in equity options markets?

At-the-money options always have the highest implied volatility
Implied volatility is constant across all strike prices
Implied volatility declines monotonically as strike price increases
Out-of-the-money puts and calls have higher implied volatility than at-the-money options (Correct answer)

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 21: In the Merton model of credit risk, default occurs when:

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)
The firm's stock price drops below its book value
Credit spreads widen beyond a regulatory threshold

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 22: Which of the following best describes Expected Shortfall (ES)?

The median loss in the worst quartile
The average of all losses beyond the VaR threshold (Correct answer)
The VaR scaled by a confidence multiplier
The maximum possible loss in any scenario

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 23: What can factor portfolios do to protect against numerous risk factors?

By destroying the original portfolio with offsetting positions in the factor portfolios.
By multiplying the original portfolio with offsetting positions in the factor portfolios.
By combining the original portfolio with offsetting positions in the factor portfolios. (Correct answer)
By separating the original portfolio with offsetting positions in the factor portfolios.

Correct answer: By combining the original portfolio with offsetting positions in the factor portfolios.

Factor portfolios are designed to isolate and represent specific risk factors. To protect an existing portfolio from unwanted exposure to these factors, one can create a hedge by taking offsetting positions in the relevant factor portfolios. This involves combining the original portfolio with short or long positions in factor portfolios that neutralize the desired risk exposures, effectively reducing the overall sensitivity to those factors.

Question 24: 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 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
The assets are unrelated so diversification provides no benefit

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 25: Which credit risk model uses a factor model where asset correlations are driven by common market factors?

Altman Z-score model
KMV distance-to-default model
Merton structural model for a single firm
CreditMetrics / Vasicek one-factor model (Correct answer)

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 26: What does 'Business Continuity Planning' (BCP) protect against in operational risk management?

Unexpected increases in credit losses during economic downturns
Counterparty default on over-the-counter derivatives contracts
Disruption to critical business functions from disasters, system failures, or other major operational events (Correct answer)
Regulatory fines from failure to meet capital adequacy requirements

Correct answer: Disruption to critical business functions from disasters, system failures, or other major operational events

BCP ensures that critical operations can continue or be quickly restored following a disruptive event such as a natural disaster, power failure, or pandemic.

Question 27: An assessment of a leverage ratio finds it is non-risk-based. Why did Basel III add it alongside risk-weighted capital?

As a backstop against model risk and excessive leverage (Correct answer)
To increase complexity
To ignore off-balance-sheet items
To replace all risk weighting

Correct answer: As a backstop against model risk and excessive leverage

The leverage ratio serves as a simple, non-risk-based backstop that limits buildup of leverage and guards against model error.

Question 28: 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 losses are highly correlated across all financial institutions simultaneously
Operational risk capital is always calculated using a Value at Risk framework
Operational risk is driven primarily by interest rate and equity price movements

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 29: What is the best way to prepare for a professional certification exam?

Watch videos only
Rely on work experience alone
Create a study plan, use official materials, take practice tests, and study consistently over weeks (Correct answer)
Study only the day before

Correct answer: Create a study plan, use official materials, take practice tests, and study consistently over weeks

A structured study plan with official materials, consistent practice, and regular testing ensures thorough preparation and identifies knowledge gaps.

Question 30: Under Basel III, which capital buffer is designed to be built up in good times and released during periods of stress to reduce procyclicality?

G-SIB surcharge
Capital conservation buffer
Countercyclical capital buffer (Correct answer)
Leverage ratio buffer

Correct answer: Countercyclical capital buffer

The countercyclical capital buffer is varied by national regulators to lean against credit-driven booms and is released in downturns.

Question 31: What is the role of practice exams in test preparation?

Entertainment
They are unnecessary if you study
They predict exact exam questions
They identify knowledge gaps, build test-taking stamina, familiarize you with question formats, and track progress (Correct answer)

Correct answer: They identify knowledge gaps, build test-taking stamina, familiarize you with question formats, and track progress

Practice tests serve multiple purposes: exposing weak areas, building endurance, practicing time management, and measuring readiness.

Question 32: What does the term 'credit migration risk' refer to?

The risk that a borrower defaults unexpectedly without a prior rating downgrade
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's credit rating changes, altering the value of a credit exposure (Correct answer)

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 33: The Gaussian copula was widely criticized after the 2008 crisis mainly because it:

Overstated correlations
Was too computationally expensive
Underestimated tail dependence among defaults (Correct answer)
Ignored marginal distributions

Correct answer: Underestimated tail dependence among defaults

The Gaussian copula has zero tail dependence, so it understated the probability of joint extreme defaults in structured products.

Question 34: What is the value of industry certifications?

They guarantee employment
They are meaningless
They replace experience
They validate knowledge, demonstrate commitment to the profession, and may be required by employers or regulations (Correct answer)

Correct answer: They validate knowledge, demonstrate commitment to the profession, and may be required by employers or regulations

Certifications provide third-party validation of your knowledge and skills, showing employers and clients that you meet recognized professional standards.

Question 35: What is the key feature of a Collateralized Loan Obligation (CLO)?

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
It pools corporate leveraged loans and issues tranched securities backed by loan cash flows (Correct answer)

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 36: Under the Basel framework, which type of risk capital charge specifically addresses losses from inadequate internal processes, people, and systems?

Credit risk capital
Operational risk capital (Correct answer)
Market risk capital
Liquidity coverage ratio

Correct answer: Operational risk capital

Operational risk capital covers losses from failed internal processes, people, systems, or external events.

Question 37: Which measure captures the potential future exposure of a derivatives portfolio under adverse market movements?

Potential Future Exposure (PFE) (Correct answer)
Current Exposure (CE)
Expected Positive Exposure (EPE)
Credit Valuation Adjustment (CVA)

Correct answer: Potential Future Exposure (PFE)

PFE measures the worst-case exposure at a given confidence level over a specified future period, used to set credit limits for derivatives counterparties.

Question 38: What is the primary purpose of backtesting a VaR model?

To calibrate model parameters using Monte Carlo simulation
To compare VaR predictions against actual daily profit and loss outcomes (Correct answer)
To stress test the model under hypothetical extreme scenarios
To verify that VaR accurately measures expected losses

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 39: A review of economic capital versus regulatory capital concludes that economic capital is:

Always equal to regulatory capital
An internal estimate of capital needed for the bank's actual risk profile (Correct answer)
Irrelevant to risk management
Set only by regulators

Correct answer: An internal estimate of capital needed for the bank's actual risk profile

Economic capital is the institution's own assessment of capital required to remain solvent given its specific risks.

Question 40: 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 maximum loss not exceeded with 95% probability over one day (Correct answer)
The expected loss averaged over 95 trading days
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 41: Which Greek measures the rate of change of an option's delta with respect to the underlying price?

Vega
Gamma (Correct answer)
Rho
Theta

Correct answer: Gamma

Gamma is the second derivative of option value with respect to the underlying, i.e., the sensitivity of delta.

Question 42: In the context of options, what does 'delta hedging' involve?

Purchasing options to hedge an existing equity portfolio
Selling options to collect premium and reduce delta
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

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 43: A key advantage of Monte Carlo simulation for VaR estimation over parametric methods is that it:

Can model complex non-linear payoffs and non-normal distributions (Correct answer)
Requires the least computational resources
Uses only historical return data
Produces more conservative estimates by assumption

Correct answer: Can model complex non-linear payoffs and non-normal distributions

Monte Carlo simulation can incorporate non-linear instruments like options, fat-tailed distributions, and complex correlations, making it far more flexible than parametric methods.

Question 44: Republic Bank's risk management officer is Kate Williams. She's laying the groundwork for successful risk data aggregation governance standards. The bank has a history of being lax when it comes to risk management procedures, and Williams has been hired to change that. Which one of the following claims about governance concepts is incorrect?

Risk data aggregation should be considered when the firm undergoes new initiatives, including acquisitions and divestitures.
The overall risk management framework of the bank should include risk data aggregation.
Human and financial resources should be devoted to risk data aggregation, and thus senior management should approve the framework.
A bank should have multiple sources for risk data for each type of risk to improve reliability. (Correct answer)

Correct answer: A bank should have multiple sources for risk data for each type of risk to improve reliability.

While data validation is crucial, having multiple, potentially uncoordinated sources for the same risk data can actually introduce inconsistencies and make aggregation more complex and less reliable. Effective risk data aggregation, as per BCBS 239 principles, emphasizes having a single, authoritative source for each data element to ensure accuracy, completeness, and consistency across the bank. Therefore, the claim that multiple sources improve reliability is incorrect in this context.

Question 45: What is the purpose of the 'maturity adjustment' in the Basel IRB capital formula?

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
To convert one-year default probabilities into multi-year cumulative default rates
To reduce capital for short-term trade finance exposures with low default risk

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 46: In a collateralized debt obligation (CDO), which tranche bears losses first?

Equity tranche (Correct answer)
Senior tranche
Mezzanine tranche
Super senior tranche

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 47: Backtesting a VaR model involves:

Re-estimating VaR using more recent data windows
Adjusting the VaR estimate for liquidity horizons
Stress testing the model under hypothetical extreme scenarios
Comparing predicted VaR against actual daily P&L to count exceptions (Correct answer)

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 48: What is a Credit Default Swap (CDS)?

A collateralized loan where the borrower pledges fixed-income assets
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 bond issued by a bank to transfer credit risk to investors

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 49: Expected shortfall (ES) is generally preferred over VaR as a risk measure mainly because ES is:

Easier to backtest
Always lower than VaR
A coherent risk measure that is subadditive (Correct answer)
Independent of the confidence level

Correct answer: A coherent risk measure that is subadditive

Expected shortfall satisfies subadditivity and the other coherence axioms, which VaR can violate.

Question 50: Which volatility measure is derived from market prices of options rather than historical price data?

Implied volatility (Correct answer)
Realized volatility
Historical volatility
GARCH volatility

Correct answer: Implied volatility

Implied volatility is extracted from current option market prices using an option pricing model such as Black-Scholes.

Question 51: What distinguishes 'unexpected loss' (UL) from 'expected loss' (EL) in credit risk?

UL is the volatility around EL and represents the risk that actual losses exceed average losses (Correct answer)
UL equals EL multiplied by a regulatory scaling factor under Basel rules
UL is the worst-case loss at a 99.9% confidence level
UL is the loss absorbed by the equity tranche in a securitization structure

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 52: The credit valuation adjustment (CVA) represents:

The funding cost of collateral
The market value of a derivative ignoring credit
The expected loss due to counterparty default (Correct answer)
The regulatory capital for market risk

Correct answer: The expected loss due to counterparty default

CVA is the difference between the risk-free derivative value and its value accounting for counterparty default risk.

Question 53: Under a normal distribution assumption, approximately what percentage of daily returns fall outside 2 standard deviations?

1%
10%
5% (Correct answer)
32%

Correct answer: 5%

Under the normal distribution, approximately 95% of observations fall within 2 standard deviations, leaving about 5% in the tails.

Question 54: 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 values of optimal risky portfolio.
It is defined as the portfolio of some 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 relative market values.
It is defined as the investors of all marketable assets weighted in proportion to their relative market values. (Correct answer)

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 55: What does Loss Given Default (LGD) represent?

The market value of collateral held against a credit exposure
The fraction of exposure that is lost when a borrower defaults, after recoveries (Correct answer)
The total dollar amount lost when a counterparty defaults
The probability that a borrower defaults within a given time horizon

Correct answer: The fraction of exposure that is lost when a borrower defaults, after recoveries

LGD is expressed as a percentage of EAD and reflects the net loss after accounting for recoveries from collateral, guarantees, or bankruptcy proceedings.

Question 56: What is the importance of record-keeping in professional work?

Accurate records ensure accountability, enable quality control, support legal compliance, and facilitate knowledge transfer (Correct answer)
Only for auditing purposes
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 57: 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:

Not invest in either Chrome Fund or Nickel Fund.
Be indifferent between Chrome Fund and Nickel Fund. (Correct answer)
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 58: The Durbin-Watson statistic is primarily used to test for:

Multicollinearity among predictors
First-order autocorrelation in residuals (Correct answer)
Heteroskedasticity in residuals
Non-normality of error terms

Correct answer: First-order autocorrelation in residuals

The Durbin-Watson statistic tests for first-order serial correlation in regression residuals, with values near 2 indicating no autocorrelation.

Question 59: 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.

II, III, IV
I, III, IV
I, II. 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 60: What does 'recovery rate' represent in credit risk modeling?

The percentage of credit losses covered by loan loss reserves
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

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 61: Which model is most commonly associated with estimating the probability of default from equity prices using the firm's asset value and volatility?

Merton structural model (Correct answer)
KMV transition matrix
CreditMetrics
CreditRisk+

Correct answer: Merton structural model

The Merton model treats equity as a call option on firm assets, deriving default probability from asset value and volatility.

Question 62: What does a negative convexity in a mortgage-backed security (MBS) indicate?

Prepayment risk causes the price to underperform when rates fall (Correct answer)
The security has no interest rate risk
The bond price rises faster than a comparable straight bond
Duration increases as yields rise

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.

Question 63: ‘Equals the stock return's sensitivity to a l-u nit change in the factor.' Which of the following best describes the situation?

Jensen's alpha
Factor beta (Correct answer)
Beta measure
Firm—specific return

Correct answer: Factor beta

Arbitrage is the practice of simultaneously buying an asset in a market where its price is lower and selling it in another market where its price is higher. This action allows an investor to profit from the price differential without taking on significant risk. The described scenario perfectly matches the definition of arbitrage.

Question 64: Which statement best describes the Central Limit Theorem (CLT)?

All financial returns are normally distributed
Large samples always have lower variance than small samples
The mean of a population always equals the mean of its samples
The distribution of sample means approaches normality as sample size increases regardless of the underlying distribution (Correct answer)

Correct answer: The distribution of sample means approaches normality as sample size increases regardless of the underlying distribution

The CLT states that the sampling distribution of the mean approaches a normal distribution as sample size increases, regardless of the population's underlying distribution.

Question 65: Reviewing risk governance, the 'three lines of defense' model places independent risk management in which line?

Second line (risk management and compliance) (Correct answer)
First line (business units)
Outside the model
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 66: Which of the following is the correct formula for Expected Loss (EL) in credit risk?

EL = PD × EAD / LGD
EL = PD × LGD × EAD (Correct answer)
EL = PD + LGD + EAD
EL = LGD × EAD − PD

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 67: Which Greek measures the rate of change of an option's delta with respect to the underlying asset price?

Rho
Theta
Vega
Gamma (Correct answer)

Correct answer: Gamma

Gamma is the second derivative of option price with respect to the underlying price, representing how quickly delta changes.

Question 68: The Liquidity Coverage Ratio (LCR) requires banks to hold high-quality liquid assets sufficient to cover net cash outflows over what stress horizon?

1 year
7 days
90 days
30 days (Correct answer)

Correct answer: 30 days

The LCR is calibrated to a 30-day stressed liquidity scenario.

Question 69: A bond portfolio has a DV01 of $5,000. If interest rates rise by 10 basis points, what is the approximate dollar loss?

$500
$5,000
$500,000
$50,000 (Correct answer)

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 70: 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 exposure to a counterparty increases at the same time the counterparty's creditworthiness deteriorates (Correct answer)
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

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 71: What is algorithmic trading?

Trading algorithms as assets
Using computer programs to automatically execute trades based on predefined rules and conditions (Correct answer)
A manual trading strategy
Trading alphabetically

Correct answer: Using computer programs to automatically execute trades based on predefined rules and conditions

Algorithmic trading uses software to automatically identify opportunities and execute trades based on predefined criteria like price, volume, timing, or technical indicators.

Question 72: What is the role of netting agreements in managing counterparty credit risk?

They require counterparties to post margin equal to gross exposure on all contracts
They transfer credit risk of multiple contracts to a central clearinghouse
They convert bilateral OTC derivatives into exchange-traded products
They allow positive and negative mark-to-market values across contracts to be offset, reducing net exposure (Correct answer)

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 73: Which type of backtesting exception would most concern a risk manager validating a VaR model?

Profits exceed VaR
Exceptions occur far more frequently than the confidence level implies (Correct answer)
Realized losses never exceed VaR
VaR equals zero on weekends

Correct answer: Exceptions occur far more frequently than the confidence level implies

Too many exceptions relative to the model's confidence level signals the VaR model underestimates risk.

Question 74: 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 75: Why is attention to detail important in professional work?

It slows everything down
It only matters in medicine
Details are unimportant if the big picture is right
Small errors can have significant consequences, and thoroughness builds trust and ensures quality outcomes (Correct answer)

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 76: How should professionals handle ethical dilemmas?

Apply professional ethical standards, consult with colleagues or ethics boards, and prioritize doing the right thing (Correct answer)
Do whatever is most profitable
Ignore them
Follow personal feelings only

Correct answer: Apply professional ethical standards, consult with colleagues or ethics boards, and prioritize doing the right thing

Ethical dilemmas require reference to professional codes of ethics, consultation with trusted colleagues, and a commitment to doing what is right, even when difficult.

Question 77: What is basis risk in the context of hedging?

The risk of counterparty default on a derivatives contract
The risk that the underlying asset price moves against the hedger
The risk of a sudden change in the risk-free rate
The risk that the hedge instrument does not perfectly offset the exposure being hedged (Correct answer)

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 78: When assessing interest rate risk in the banking book, which measure captures long-term value sensitivity?

Net interest income only
Economic value of equity (EVE) (Correct answer)
Gross revenue
Trading VaR

Correct answer: Economic value of equity (EVE)

EVE measures the present-value sensitivity of the bank's equity to interest rate changes over the long term.

Question 79: Reviewing a Sharpe ratio comparison, which adjustment improves assessment when returns are non-normal?

Use only nominal returns
Ignore skewness and kurtosis
Consider downside-risk measures like the Sortino ratio (Correct answer)
Remove the risk-free rate

Correct answer: Consider downside-risk measures like the Sortino ratio

The Sortino ratio penalizes only downside volatility, better reflecting risk when return distributions are skewed.

Question 80: What role does networking play in professional development?

It is only for extroverts
It is only about finding jobs
Networking provides opportunities for learning, mentorship, referrals, and staying current with industry trends (Correct answer)
It is unnecessary

Correct answer: Networking provides opportunities for learning, mentorship, referrals, and staying current with industry trends

Professional networking connects you with peers, mentors, and opportunities while keeping you informed about industry developments and best practices.

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.

Questions

240 min

Time Limit

50%

To Pass

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