Financial Risk Manager (FRM) Part I Exam — Questions and Answers

Question 1: What is the 'information ratio' (IR) used to assess in portfolio management?

The ratio of fundamental analysis to quantitative analysis used by a portfolio manager
The consistency and magnitude of active return (alpha) relative to tracking error, measuring the efficiency of active management (Correct answer)
The ratio of private information trades to public information trades in a portfolio
The percentage of portfolio positions that outperformed the benchmark

Correct answer: The consistency and magnitude of active return (alpha) relative to tracking error, measuring the efficiency of active management

IR = Alpha / Tracking Error; a high IR indicates the manager consistently generates alpha relative to the active risk taken, making it superior to alpha alone for evaluating active managers.

Question 2: What is the primary purpose of a 'stress test' in financial risk management?

To assess portfolio performance under normal market conditions
To optimize the risk-return tradeoff of a portfolio
To calculate the exact probability of a loss event
To evaluate potential losses under severe but plausible adverse scenarios (Correct answer)

Correct answer: To evaluate potential losses under severe but plausible adverse scenarios

Stress tests examine how a portfolio would perform under extreme, hypothetical scenarios (e.g., market crashes, liquidity crises) that may lie outside the range captured by statistical VaR models.

Question 3: What is 'reputational risk' in the context of financial risk management?

The risk of loss resulting from negative public perception damaging a firm's business relationships, revenue, or funding access, often triggered by an operational or conduct failure (Correct answer)
A market risk arising from changes in brand value as reflected in stock prices
A credit risk arising from a firm's reputation affecting its borrowing costs
An operational risk sub-category explicitly covered by Basel capital requirements

Correct answer: The risk of loss resulting from negative public perception damaging a firm's business relationships, revenue, or funding access, often triggered by an operational or conduct failure

Reputational risk is not directly capitalized under Basel but is a major concern because an operational failure (scandal, data breach) can trigger depositor runs, client attrition, and higher funding costs.

Question 4: What is 'Exposure at Default' (EAD) for an undrawn revolving credit facility?

Always zero because the facility has not been drawn
The total facility limit regardless of current utilization
The current drawn balance only
An estimate of the outstanding amount at the time of default, including expected drawdowns before default (Correct answer)

Correct answer: An estimate of the outstanding amount at the time of default, including expected drawdowns before default

EAD for revolving facilities must account for the borrower's tendency to draw down available credit before defaulting, estimated via a Credit Conversion Factor (CCF).

Question 5: In extreme value theory (EVT), the Generalized Pareto Distribution (GPD) is used to model:

Interest rate term structure dynamics
Normal day-to-day portfolio returns
The distribution of losses that exceed a high threshold (Correct answer)
Recovery rates on defaulted bonds

Correct answer: The distribution of losses that exceed a high threshold

EVT uses GPD to fit the tails of loss distributions, specifically modeling observations that exceed a high threshold to better estimate extreme quantiles like VaR and ES.

Question 6: Under Basel III, what is the minimum Common Equity Tier 1 (CET1) capital ratio requirement?

2.0%
8.0%
4.5% (Correct answer)
6.0%

Correct answer: 4.5%

Basel III requires banks to maintain a minimum CET1 ratio of 4.5% of risk-weighted assets.

Question 7: What is 'conduct risk' in operational risk management?

Risk from poor execution of trades due to inadequate trading systems
Regulatory risk from non-compliance with anti-money laundering rules
Risks arising from how the organization conducts its merger and acquisition activities
The risk of losses from employee misconduct such as insider trading or mis-selling (Correct answer)

Correct answer: The risk of losses from employee misconduct such as insider trading or mis-selling

Conduct risk relates to how a firm and its employees behave toward customers and markets, including mis-selling, market manipulation, and conflicts of interest.

Question 8: What is 'business continuity planning' (BCP) in the context of operational risk?

A regulatory requirement to disclose operational losses quarterly
A process for terminating vendor relationships that pose excessive operational risk
A strategic plan for entering new markets during economic downturns
A documented framework ensuring critical business functions can continue or recover quickly after a disruptive operational risk event (Correct answer)

Correct answer: A documented framework ensuring critical business functions can continue or recover quickly after a disruptive operational risk event

BCP includes disaster recovery plans, backup systems, alternate operating sites, and communication protocols to minimize downtime and loss when a disruption (fire, flood, cyberattack) occurs.

Question 9: Which among these doesn't involve the use of tools?

Market risk measurement
Operational risk measurement and management
Risk management
Quantitative analysis (Correct answer)

Correct answer: Quantitative analysis

Using mathematical and statistical modeling, measurement, and investigation, quantitative analysis (QA) is a method for comprehending behavior. A particular reality is represented by a number by quantitative analysts.

Question 10: What does 'encumbered' mean when describing collateral in liquidity management?

Collateral that has declined in credit rating below investment grade
Repos that have not yet been included in the LCR calculation
Assets that are pledged or otherwise unavailable for use in meeting liquidity needs (Correct answer)
Securities that are subject to lock-up periods preventing immediate sale

Correct answer: Assets that are pledged or otherwise unavailable for use in meeting liquidity needs

Encumbered assets are pledged as collateral or otherwise legally committed, making them unavailable for the bank to use as a liquidity buffer.

Question 11: Which of the following is an example of 'internal fraud' as an operational risk event type under Basel?

A natural disaster destroying a data center
A vendor failing to deliver contracted services
A regulatory fine for mis-selling products
A rogue trader concealing losses by falsifying trade records (Correct answer)

Correct answer: A rogue trader concealing losses by falsifying trade records

Internal fraud involves intentional misappropriation of assets or circumvention of regulations by at least one internal party, such as a rogue trader like the Barings/Nick Leeson case.

Question 12: What is 'tail dependence' in the context of financial risk modeling?

The tendency for extreme losses in multiple assets to occur simultaneously, beyond what normal correlations predict (Correct answer)
The sensitivity of a portfolio's tail losses to changes in correlation assumptions
The relationship between the tail of the loss distribution and regulatory capital requirements
The dependence of tail risk estimates on the choice of historical lookback period

Correct answer: The tendency for extreme losses in multiple assets to occur simultaneously, beyond what normal correlations predict

Tail dependence measures the probability that extreme events (crashes) occur simultaneously across assets, which normal distributions and Gaussian copulas underestimate.

Question 13: Under Basel III, what is the Internal Ratings-Based (IRB) approach used for?

Determining operational risk losses from internal models
Setting market risk capital for trading books
Calculating credit risk capital using bank-estimated risk parameters (Correct answer)
Establishing liquidity coverage ratios

Correct answer: Calculating credit risk capital using bank-estimated risk parameters

The IRB approach allows banks to use their own models to estimate PD, LGD, and EAD for calculating regulatory capital against credit risk.

Question 14: In operational risk, what is the 'frequency-severity' framework?

A model that separates operational losses into how often they occur and how large they are, then combines these distributions to estimate total loss (Correct answer)
A grading scale used by auditors to rate internal control weaknesses
A Basel formula for allocating capital between trading and banking book exposures
A regulatory stress test framework requiring banks to test both high-frequency and high-severity market scenarios

Correct answer: A model that separates operational losses into how often they occur and how large they are, then combines these distributions to estimate total loss

Operational risk capital models separately model loss frequency (using Poisson distributions) and loss severity (using lognormal or Pareto), then convolve them via Monte Carlo to produce a loss distribution.

Question 15: Intraday liquidity risk refers to:

The risk that intraday trading losses exceed the firm's daily VaR limit
The risk of running out of liquidity within a single business day due to payment timing mismatches (Correct answer)
Daily fluctuations in the LCR ratio caused by market price movements
Risk from overnight repo markets refusing to roll over funding each morning

Correct answer: The risk of running out of liquidity within a single business day due to payment timing mismatches

Intraday liquidity risk arises when payment outflows occur before incoming payments are received, creating short-term funding gaps that can disrupt settlement.

Question 16: Under the Historical Simulation method for VaR, how are future portfolio losses estimated?

By running Monte Carlo simulations calibrated to historical volatility
By fitting a normal distribution to past returns and extrapolating future losses
By calculating the worst single-day loss from the past 250 trading days
By applying today's portfolio weights to historically observed risk factor changes (Correct answer)

Correct answer: By applying today's portfolio weights to historically observed risk factor changes

Historical Simulation re-prices today's portfolio using actual historical changes in risk factors (e.g., rates, FX, prices), generating an empirical distribution of P&L.

Question 17: Which of the following best describes a perfect hedge?

A hedge that only protects against downside risk
A hedge that reduces risk by exactly 50%
A hedge that maximizes profit while minimizing risk
A hedge that eliminates all potential gains and losses from the hedged position (Correct answer)

Correct answer: A hedge that eliminates all potential gains and losses from the hedged position

A perfect hedge fully offsets the risk of the underlying position, eliminating both potential gains and losses, resulting in a locked-in outcome.

Question 18: What is a 'credit rating migration matrix' used for in credit risk?

Calculating the duration of a fixed income instrument
Estimating recovery rates on defaulted bonds
Measuring the market risk of a bond portfolio
Quantifying the probability of a borrower moving from one credit rating to another over a given period (Correct answer)

Correct answer: Quantifying the probability of a borrower moving from one credit rating to another over a given period

A migration matrix shows historical transition probabilities between credit rating categories (e.g., AAA to AA, BBB to default) over a one-year horizon.

Question 19: How is operational risk defined under the Basel framework?

The risk of loss due to changes in market prices
The risk of a liquidity shortfall in stress conditions
The risk of a counterparty defaulting on an obligation
The risk of loss resulting from inadequate or failed internal processes, people, and systems, or from external events (Correct answer)

Correct answer: The risk of loss resulting from inadequate or failed internal processes, people, and systems, or from external events

Basel II's definition of operational risk explicitly includes internal fraud, external fraud, employment practices, clients, damage to physical assets, system failures, and execution/delivery errors.

Question 20: What does 'Probability of Default' (PD) measure in credit risk?

The exposure at default for a loan
The recovery rate on a defaulted bond
The likelihood that a borrower will fail to meet its debt obligations within a specified time horizon (Correct answer)
The loss given a default event

Correct answer: The likelihood that a borrower will fail to meet its debt obligations within a specified time horizon

PD is the estimated probability that a borrower defaults within a given period, typically one year, and is a core input in credit risk models.

Question 21: What is 'credit spread' in fixed income markets?

The difference between spot and forward credit default swap premiums
The difference between a bond's coupon rate and its face value yield
The yield difference between a corporate (or risky) bond and a risk-free government bond of the same maturity (Correct answer)
The bid-ask spread on corporate bond trades

Correct answer: The yield difference between a corporate (or risky) bond and a risk-free government bond of the same maturity

The credit spread compensates investors for taking on default risk relative to a risk-free benchmark; wider spreads indicate higher perceived credit risk.

Question 22: What does 'beta' measure in the Capital Asset Pricing Model (CAPM)?

The expected return of an asset given its credit rating
The sensitivity of an asset's return to movements in the overall market portfolio (Correct answer)
The standard deviation of an asset's daily returns
The alpha generated by active portfolio management

Correct answer: The sensitivity of an asset's return to movements in the overall market portfolio

A beta of 1 means the asset moves with the market; beta > 1 means amplified market moves; beta < 1 means dampened market moves; beta can be negative for defensive assets.

Question 23: When a bank outsources payment processing to a third-party vendor, the operational risk:

Is eliminated because the vendor is now responsible for losses
Transfers to the vendor's regulators under supervisory equivalence rules
Is reduced proportionally to the vendor's own capital adequacy ratio
Remains with the bank, which must manage vendor risk through oversight (Correct answer)

Correct answer: Remains with the bank, which must manage vendor risk through oversight

Outsourcing transfers the activity but not the accountability; the bank retains responsibility and must perform ongoing third-party risk management.

Question 24: A risk manager applies a Cornish-Fisher expansion to estimate VaR. Compared to the normal distribution VaR, the adjusted VaR will be higher when the return distribution exhibits:

Positive skewness only
Zero skewness and zero kurtosis
Negative excess kurtosis and positive skewness
Positive excess kurtosis and negative skewness (Correct answer)

Correct answer: Positive excess kurtosis and negative skewness

Fat tails (positive excess kurtosis) and left skewness both increase the adjusted VaR via the Cornish-Fisher expansion, since extreme losses are more likely than under normality.

Question 25: What is 'cyber risk' classified as under the operational risk framework?

Liquidity risk because it can freeze payment systems
Operational risk under the 'systems failures' or 'external events' category (Correct answer)
Market risk because it affects asset prices
Strategic risk outside the Basel operational risk definition

Correct answer: Operational risk under the 'systems failures' or 'external events' category

Cyber attacks (data breaches, ransomware, DDoS) fall within the Basel operational risk definition under 'systems failures' or 'external events,' and are increasingly the largest operational risk concern for banks.

Question 26: What is 'default correlation' and why does it matter for credit portfolios?

The relationship between PD and LGD for individual borrowers
The correlation between credit ratings assigned by different agencies
The correlation between a bond's credit spread and its duration
The tendency of multiple borrowers to default at the same time, which affects portfolio credit losses during economic downturns (Correct answer)

Correct answer: The tendency of multiple borrowers to default at the same time, which affects portfolio credit losses during economic downturns

High default correlation means losses are concentrated — when one borrower defaults, others tend to default too, making diversification less effective and tail losses worse.

Question 27: The 'correlation coefficient' in portfolio risk is important because:

It determines the exact probability of simultaneous defaults in a credit portfolio
It measures the degree to which two asset returns move together, affecting portfolio diversification (Correct answer)
It quantifies the sensitivity of a bond's price to interest rate changes
It is used to calculate the VaR of non-linear instruments like options

Correct answer: It measures the degree to which two asset returns move together, affecting portfolio diversification

Portfolio variance and diversification benefits depend heavily on the correlation between asset returns; lower correlations yield greater risk reduction.

Question 28: Which of these dangers would financial risk management not include?

Market risk
Operational risk
Credit risk
Health risk (Correct answer)

Correct answer: Health risk

The goal of risk management in the healthcare industry is to identify, monitor, assess, minimize, and prevent hazards to patients. It entails a complex network of clinical and administrative systems, processes, procedures, and reporting frameworks.

Question 29: What is 'jump risk' in equity market risk management?

The risk that a stock's trading volume spikes unexpectedly
The risk of margin calls during periods of high volatility
Sudden, discontinuous price movements that cannot be hedged with delta alone (Correct answer)
Gaps between closing and opening prices due to after-hours trading

Correct answer: Sudden, discontinuous price movements that cannot be hedged with delta alone

Jump risk refers to sudden, large discontinuous price moves in equity markets that delta-hedged portfolios cannot offset in time.

Question 30: What does the 'convexity' of a bond measure?

The curvature in the price-yield relationship, measuring duration's rate of change (Correct answer)
The bond's exposure to prepayment risk
The bond's sensitivity to credit spread changes
The correlation between bond price and equity market returns

Correct answer: The curvature in the price-yield relationship, measuring duration's rate of change

Convexity measures the rate of change of duration as yields change, capturing the non-linear (curved) relationship between bond prices and yields.

Question 31: What is 'liquidity-adjusted VaR' (LVaR)?

VaR that excludes illiquid positions entirely
VaR computed using only liquid instruments as proxies
VaR adjusted for bid-ask spread on day one only
VaR that incorporates the additional cost of unwinding a position over a liquidation horizon longer than one day (Correct answer)

Correct answer: VaR that incorporates the additional cost of unwinding a position over a liquidation horizon longer than one day

LVaR scales the standard VaR to reflect the fact that large or illiquid positions may require several days to exit, amplifying potential losses.

Question 32: What is the primary purpose of using derivatives for hedging?

To reduce or offset financial risk (Correct answer)
To increase leverage in a portfolio
To speculate on price movements
To generate arbitrage profits

Correct answer: To reduce or offset financial risk

Derivatives are used in hedging to offset potential losses in an underlying position by taking an opposite position in a related instrument.

Question 33: Under Basel II/III, the 'boundary' between the banking book and trading book matters primarily for which risk type?

Operational risk — banking book losses are excluded from AMA
Liquidity risk — banking book assets have longer liquidity horizons than trading book
Market risk — trading book positions are subject to market risk capital while banking book positions are subject to credit risk capital (Correct answer)
Operational risk — each book requires a separate loss database

Correct answer: Market risk — trading book positions are subject to market risk capital while banking book positions are subject to credit risk capital

The banking book / trading book boundary determines whether positions are marked-to-market (trading book → market risk capital) or accrual-accounted (banking book → credit risk capital), a key source of regulatory arbitrage.

Question 34: A firm's operational risk capital under the Basel Advanced Measurement Approach (AMA) primarily relies on:

Market prices of traded instruments
Credit ratings from external agencies
Internal loss data, external loss data, scenario analysis, and business environment factors (Correct answer)
VaR models applied to the trading book

Correct answer: Internal loss data, external loss data, scenario analysis, and business environment factors

AMA requires banks to combine four data elements: internal loss data, external loss data, scenario analysis, and business environment and internal control factors.

Question 35: Delta-normal VaR assumes portfolio returns follow which distribution?

Uniform distribution
Log-normal distribution
Poisson distribution
Normal (Gaussian) distribution (Correct answer)

Correct answer: Normal (Gaussian) distribution

The delta-normal (parametric) approach linearizes portfolio sensitivities and assumes returns are normally distributed to compute VaR analytically.

Question 36: A portfolio manager wants to reduce interest rate duration without selling bonds. Which derivative strategy is most appropriate?

Sell interest rate floors
Enter a receiver interest rate swap (receive fixed, pay floating)
Enter a payer interest rate swap (pay fixed, receive floating) (Correct answer)
Buy interest rate caps

Correct answer: Enter a payer interest rate swap (pay fixed, receive floating)

In a payer swap, the manager pays fixed and receives floating, which offsets the fixed-rate exposure of the bond portfolio and reduces duration.

Question 37: Expected Shortfall (ES), also called CVaR, is superior to VaR because it:

Is always a smaller number than VaR
Is easier to calculate for non-linear portfolios
Measures the average loss in the worst scenarios beyond the VaR threshold
Satisfies all four properties of a coherent risk measure, unlike VaR (Correct answer)

Correct answer: Satisfies all four properties of a coherent risk measure, unlike VaR

ES is a coherent risk measure satisfying subadditivity, monotonicity, positive homogeneity, and translation invariance—properties VaR violates.

Question 38: What is a 'covered bond' and how does it differ from a standard bond in terms of credit risk?

A bond where the issuer's equity covers all losses; zero credit risk
A bond where all coupon payments are collateralized by government securities
A bond insured by a monoline insurance company
A bond backed by a dedicated pool of high-quality assets (cover pool) that remains on the issuer's balance sheet, providing dual recourse to both issuer and collateral (Correct answer)

Correct answer: A bond backed by a dedicated pool of high-quality assets (cover pool) that remains on the issuer's balance sheet, providing dual recourse to both issuer and collateral

Covered bonds give investors recourse to the issuing bank AND to the segregated cover pool (typically mortgages or public sector loans), making them lower risk than senior unsecured bonds.

Question 39: What is the primary purpose of a 'collar' options strategy in risk management?

To hedge only against upside risk while retaining full downside exposure
To profit from increased volatility in the underlying asset
To maximize upside potential while eliminating all downside risk
To cap both downside losses and upside gains within a defined range (Correct answer)

Correct answer: To cap both downside losses and upside gains within a defined range

A collar combines a protective put (limits downside) with a covered call (caps upside), creating a range of outcomes for the hedger.

Question 40: Under the Basel traffic-light backtesting framework, a bank in the 'red zone' (10+ exceptions in 250 days) faces which consequence?

Capital surcharge multiplication factor of up to 4.0 applied to market risk capital (Correct answer)
No action required
Mandatory switch to historical simulation VaR
Automatic model approval

Correct answer: Capital surcharge multiplication factor of up to 4.0 applied to market risk capital

The red zone triggers the highest plus factor (up to +1.0), raising the multiplication factor on the bank's market risk capital requirement to a maximum of 4.0.

Question 41: What is a credit enhancement in a structured finance transaction?

A fee paid to rating agencies for assigning a higher rating to a security
An upgrade to the credit rating of the originator of the asset pool
A mechanism such as overcollateralization or a reserve fund that protects investors from losses (Correct answer)
A swap used to convert fixed-rate loan cash flows to floating for ABS investors

Correct answer: A mechanism such as overcollateralization or a reserve fund that protects investors from losses

Credit enhancement mechanisms reduce expected losses for senior tranche holders, allowing securitized products to achieve higher ratings than the underlying collateral.

Question 42: An airline buys call options on jet fuel to hedge against rising fuel costs. This strategy is classified as:

Static delta hedge
Short hedge
Speculative hedging
Long hedge (Correct answer)

Correct answer: Long hedge

A long hedge involves buying futures or call options to protect against rising prices in a commodity the hedger expects to purchase in the future.

Question 43: Which of the following best describes 'stress testing' in market risk management?

Running Monte Carlo simulations with 10,000 paths
Calculating VaR at a 99.9% confidence level
Backtesting a model against 250 days of historical data
Evaluating portfolio performance under extreme but plausible adverse scenarios (Correct answer)

Correct answer: Evaluating portfolio performance under extreme but plausible adverse scenarios

Stress testing examines how a portfolio performs under severe hypothetical or historical scenarios such as the 2008 financial crisis or a sudden liquidity freeze.

Question 44: Risk of reinvestment rate is of concern because:

price of a bond
the ability to reinvest the money received from the bond at the same rate. (Correct answer)
the ability to reinvest the money received from the bond at a lower rate.
the ability to reinvest the money received from the bond at a higher rate.

Correct answer: the ability to reinvest the money received from the bond at the same rate.

Reinvestment risk is the chance that an investor won't be able to reinvest cash flows from an investment, like interest or coupon payments, at a pace that is comparable to their present rate of return. The reinvestment rate is the name given to this new rate.

Question 45: What is the 'square root of time' rule used for in market risk?

To scale annual volatility down to daily volatility
To convert a one-day VaR estimate to a multi-day VaR estimate by scaling by the square root of the number of days (Correct answer)
To determine the convexity adjustment for long-dated options
To calculate the correlation between two assets over different time horizons

Correct answer: To convert a one-day VaR estimate to a multi-day VaR estimate by scaling by the square root of the number of days

Assuming i.i.d. returns, a one-day VaR can be scaled to a T-day VaR by multiplying by √T, as variance scales linearly and standard deviation scales with the square root.

Question 46: What is the purpose of maintaining an 'internal loss database' (ILD) for operational risk?

To store credit default events for capital model calibration
To report market risk exceptions to senior management
To archive regulatory correspondence and examination findings
To capture historical operational loss events so they can be analyzed and used to calibrate operational risk capital models (Correct answer)

Correct answer: To capture historical operational loss events so they can be analyzed and used to calibrate operational risk capital models

An ILD records date, event type, business line, gross loss, and recovery for each operational loss, providing empirical data for frequency and severity distributions in advanced measurement approaches.

Question 47: What are 'contingent convertible bonds' (CoCos) and what is their role in Basel III?

Interest rate derivatives used to hedge bank funding costs
Bonds convertible at the issuer's option for tax optimization purposes
Hybrid instruments that automatically convert to equity or are written down when a bank's capital falls below a trigger level, absorbing losses on a going-concern basis (Correct answer)
Government-issued bonds used to recapitalize failed banks

Correct answer: Hybrid instruments that automatically convert to equity or are written down when a bank's capital falls below a trigger level, absorbing losses on a going-concern basis

CoCos are designed to recapitalize a distressed bank automatically without government intervention; they qualify as Additional Tier 1 capital under Basel III when they have high-trigger (CET1 < 5.125%) conversion features.

Question 48: Expected Shortfall (ES), also called CVaR, measures which of the following?

The probability that a loss exceeds a specified level
The standard deviation of daily portfolio returns
The most likely loss in a normal market day
The average loss given that the loss exceeds the VaR threshold (Correct answer)

Correct answer: The average loss given that the loss exceeds the VaR threshold

Expected Shortfall is the mean of all losses that fall beyond the VaR cut-off, providing a fuller picture of tail risk.

Question 49: Which type of risk does a credit default swap (CDS) primarily transfer from buyer to seller?

Currency risk
Liquidity risk
Interest rate risk
Credit risk (Correct answer)

Correct answer: Credit risk

A CDS transfers credit risk: the protection buyer pays a periodic premium, and the protection seller compensates the buyer if the reference entity defaults.

Question 50: Which of the following is a key assumption underlying the parametric (variance-covariance) VaR approach?

Portfolio returns are normally distributed and positions are linear (Correct answer)
Returns follow a fat-tailed distribution
Correlations between assets are zero
Historical scenarios recur exactly in the future

Correct answer: Portfolio returns are normally distributed and positions are linear

The variance-covariance approach requires returns to be normally distributed and uses delta-approximation (linear sensitivities), making it less accurate for options or during crises.

Question 51: What does the 'duration' of a bond primarily measure?

The credit quality of the bond issuer
The time to maturity of the bond
The sensitivity of the bond's price to changes in yield (Correct answer)
The coupon frequency of the bond

Correct answer: The sensitivity of the bond's price to changes in yield

Duration (specifically modified duration) measures the percentage change in a bond's price for a 1% change in yield, making it a key interest rate risk metric.

Question 52: What does the Basel Standardized Approach (TSA) for operational risk use to differentiate capital across business lines?

A flat percentage applied to total assets regardless of business mix
Different beta factors (12–18%) applied to gross income by business line (Correct answer)
Different alpha factors based on the number of employees per business line
Credit ratings of the business line's major counterparties

Correct answer: Different beta factors (12–18%) applied to gross income by business line

TSA assigns beta factors ranging from 12% to 18% to eight defined business lines (retail banking, trading, asset management, etc.) and multiplies each by its gross income.

Question 53: What is 'concentration risk' in the context of operational risk?

Having too many assets in one geographic region
Concentrating all operational risk capital in the highest-risk business lines
Over-reliance on a single vendor, system, process, or person such that its failure could cause outsized operational disruption (Correct answer)
The risk that a single counterparty accounts for more than 25% of a credit portfolio

Correct answer: Over-reliance on a single vendor, system, process, or person such that its failure could cause outsized operational disruption

Operational concentration risk arises when a single point of failure — one critical system, one outsourcing partner, one key-person dependency — can knock out a core business function.

Question 54: What is the Greeks term 'Delta' used to measure in options risk?

Sensitivity of option price to changes in volatility
Sensitivity of option price to changes in interest rates
Sensitivity of option price to changes in the underlying asset price (Correct answer)
Sensitivity of option price to the passage of time

Correct answer: Sensitivity of option price to changes in the underlying asset price

Delta measures how much an option's price changes for a $1 move in the underlying asset, ranging from 0 to 1 for calls and -1 to 0 for puts.

Question 55: A $100M bond portfolio has a modified duration of 6 and yields rise by 50 bps. What is the approximate price change?

+$3,000,000
-$300,000
-$3,000,000 (Correct answer)
-$6,000,000

Correct answer: -$3,000,000

Price change ≈ -Modified Duration × ΔYield × Portfolio Value = -6 × 0.005 × $100M = -$3M.

Question 56: What does 'counterparty credit risk' (CCR) refer to in derivatives?

The risk that the counterparty to an OTC derivative contract defaults before the contract matures, resulting in a replacement cost loss (Correct answer)
The risk that a central clearinghouse defaults on a futures contract
The risk that a bond issuer calls the bond before maturity
The risk that collateral margins are insufficient to cover mark-to-market losses

Correct answer: The risk that the counterparty to an OTC derivative contract defaults before the contract matures, resulting in a replacement cost loss

CCR is bilateral — either counterparty could default — and the exposure varies over time with the mark-to-market of the derivative, unlike loans with fixed exposures.

Question 57: What is the primary limitation of VaR as a risk measure?

It does not capture losses beyond the confidence threshold (tail risk) (Correct answer)
It cannot be applied to fixed income portfolios
It is too conservative for regulatory purposes
It overestimates risk during normal market conditions

Correct answer: It does not capture losses beyond the confidence threshold (tail risk)

VaR tells you nothing about the magnitude of losses that exceed the confidence threshold, which is the key tail risk concern.

Question 58: What is 'Credit Value Adjustment' (CVA)?

A regulatory add-on to interest rate risk capital
The difference between quoted and fair value of a structured product
An adjustment to a bond's yield for its credit rating
The market value of counterparty credit risk embedded in a derivative, representing the expected cost of counterparty default (Correct answer)

Correct answer: The market value of counterparty credit risk embedded in a derivative, representing the expected cost of counterparty default

CVA is the difference between the risk-free value of a derivative and its true value accounting for counterparty default risk; under Basel III banks must hold capital against CVA volatility.

Question 59: There are two methods for reducing interest rate risk that are independent of the kind of bonds bought:

Foresting and hedging
Puts and calls
Immunization and hedging (Correct answer)
Immunization and inoculation

Correct answer: Immunization and hedging

Immunization is a risk-mitigation approach that balances the duration of assets and liabilities to shield portfolio values from fluctuations in interest rates.Hedging is a sophisticated risk management tactic that entails purchasing or disposing of security to potentially help lower the risk of a position's potential loss.

Question 60: What does the Incremental Risk Charge (IRC) in Basel 2.5 capture that standard VaR does not?

Operational losses from internal process failures
Systemic risk across the entire financial system
Default and migration risk for credit-sensitive positions in the trading book (Correct answer)
Interest rate risk in the banking book

Correct answer: Default and migration risk for credit-sensitive positions in the trading book

IRC was introduced to capture the default and credit migration risk for unsecuritized credit products in the trading book over a one-year horizon at 99.9% confidence.

Question 61: Which Greek measures the rate of change of Delta with respect to the underlying asset price?

Gamma (Correct answer)
Theta
Vega
Rho

Correct answer: Gamma

Gamma measures the curvature of the option price–underlying relationship and is highest for at-the-money options near expiry.

Question 62: What is 'recovery rate' in credit risk, and what is a typical value for senior unsecured bonds?

The portion of a loan that is guaranteed; typically 100%
The fraction of the exposure recovered after default; typically 40% for senior unsecured bonds (Correct answer)
The coupon recovery after a restructuring; typically 90%
The rate at which credit spreads recover after a default event; typically 6 months

Correct answer: The fraction of the exposure recovered after default; typically 40% for senior unsecured bonds

Recovery rates vary by seniority and collateral; senior unsecured bonds historically recover around 40 cents on the dollar, implying an LGD of approximately 60%.

Question 63: A portfolio has a duration of 5 years and interest rates rise by 100 bps. Approximately how much does the portfolio value change?

Increases by 0.5%
Decreases by 0.5%
Decreases by 5% (Correct answer)
Increases by 5%

Correct answer: Decreases by 5%

Using the modified duration approximation, ΔP/P ≈ −Duration × Δy, so a 100 bps rise gives −5 × 0.01 = −5% change in value.

Question 64: What is 'convexity' in fixed income risk management?

The difference between a bond's coupon rate and its yield to maturity
A measure of a bond's credit quality
A second-order measure of interest rate sensitivity that accounts for the curvature of the price-yield relationship (Correct answer)
The correlation between bond prices and equity prices

Correct answer: A second-order measure of interest rate sensitivity that accounts for the curvature of the price-yield relationship

Convexity improves the duration approximation by capturing the non-linear price response to large interest rate changes, always benefiting long bond holders.

Question 65: In the context of market risk, 'basis risk' refers to:

The risk of default by a clearinghouse
The risk that a hedging instrument does not perfectly offset the exposure being hedged (Correct answer)
The risk that the notional of a derivative exceeds the underlying exposure
The risk of changes in the risk-free interest rate

Correct answer: The risk that a hedging instrument does not perfectly offset the exposure being hedged

Basis risk arises when the price movements of the hedging instrument and the underlying exposure are not perfectly correlated, leaving residual risk in the hedged position.

Question 66: What is a Risk and Control Self-Assessment (RCSA)?

A regulatory examination of a bank's operational risk capital adequacy
An automated system that monitors real-time transaction anomalies
A structured process in which business units identify, assess, and rate their own operational risks and controls (Correct answer)
A third-party audit of a bank's credit risk models

Correct answer: A structured process in which business units identify, assess, and rate their own operational risks and controls

RCSA engages frontline business units in identifying inherent risks, evaluating control effectiveness, and rating residual risk.

Question 67: What is basis risk in the context of market risk hedging?

The risk that a hedge instrument moves in the same direction as the exposure
The risk that the price difference between the hedge instrument and the underlying exposure changes unexpectedly (Correct answer)
The risk of counterparty default on a futures contract
The risk of regulatory changes affecting derivative pricing

Correct answer: The risk that the price difference between the hedge instrument and the underlying exposure changes unexpectedly

Basis risk arises when the hedge does not perfectly offset the exposure because the two instruments do not move in lockstep, leaving a residual risk.

Question 68: What else is referred to as a net worth statement

Statement of Owner's Equity
Income Statement
Balance Sheet (Correct answer)
None of the above

Correct answer: Balance Sheet

Using a net worth statement is one of the most popular ways for people and businesses to assess their financial situation (a.k.a., balance sheet).

Question 69: In Basel II/III, what does the 'internal ratings-based' (IRB) approach allow banks to do?

Avoid holding any capital for investment grade exposures
Use external credit agency ratings exclusively for capital calculation
Use their own internal models to estimate PD, LGD, and EAD to calculate credit risk capital requirements (Correct answer)
Apply a flat 8% capital charge to all credit exposures regardless of risk

Correct answer: Use their own internal models to estimate PD, LGD, and EAD to calculate credit risk capital requirements

The IRB approach (foundation or advanced) lets banks use internal risk estimates to derive risk weights, resulting in more risk-sensitive capital requirements than the standardized approach.

Question 70: What is the purpose of the 'Internal Capital Adequacy Assessment Process' (ICAAP)?

A regulatory audit conducted by the Federal Reserve of all US banks annually
A bank's own internal process to assess whether its capital is adequate for all material risks it faces, including those not covered in Pillar 1 (Correct answer)
A process for calculating minimum regulatory capital requirements under the standardized approach
A standardized stress test prescribed by regulators with fixed scenarios

Correct answer: A bank's own internal process to assess whether its capital is adequate for all material risks it faces, including those not covered in Pillar 1

ICAAP (Pillar 2 requirement) requires banks to self-assess their capital needs across all risks — credit, market, operational, concentration, strategic, and reputational — and demonstrate sufficiency to their supervisor.

Question 71: A portfolio manager wants to hedge the vega risk of a long options position. The most direct approach is to:

Enter an interest rate swap
Buy or sell options with offsetting vega exposure (Correct answer)
Short the underlying asset
Buy Treasury bonds

Correct answer: Buy or sell options with offsetting vega exposure

Vega risk (sensitivity to implied volatility changes) can only be hedged with instruments that also have vega, primarily other options.

Question 72: What is backtesting in the context of VaR models?

Stress testing a portfolio against historical market crashes
Comparing predicted VaR estimates to actual observed losses to validate the model (Correct answer)
Recalculating VaR using a longer data window
Adjusting VaR for liquidity horizons

Correct answer: Comparing predicted VaR estimates to actual observed losses to validate the model

Backtesting counts how often actual losses exceed the predicted VaR threshold (exceptions) and assesses whether the exception rate aligns with the confidence level.

Question 73: What is a 'Risk and Control Self-Assessment' (RCSA) in operational risk?

An external benchmarking study comparing operational losses across peer banks
A legal review of vendor contracts for liability exposure
A regulatory audit of a bank's risk management practices
A structured process where business units identify and evaluate operational risks and the effectiveness of existing controls (Correct answer)

Correct answer: A structured process where business units identify and evaluate operational risks and the effectiveness of existing controls

RCSAs are conducted periodically by front-line staff and risk managers to document risks, assess their likelihood and impact, and rate the strength of mitigating controls.

Question 74: What is a 'collateralized debt obligation' (CDO)?

An exchange-traded equity derivative
A structured product that pools credit exposures and issues tranches with different seniority and risk profiles (Correct answer)
A government-guaranteed mortgage bond
A senior secured bank loan

Correct answer: A structured product that pools credit exposures and issues tranches with different seniority and risk profiles

A CDO repackages a pool of loans, bonds, or CDS into tranches (senior, mezzanine, equity) where losses are absorbed bottom-up, allowing investors to choose their preferred risk-return profile.

Question 75: What does Value at Risk (VaR) measure?

The maximum loss not exceeded at a given confidence level over a specified period (Correct answer)
The minimum expected return of a portfolio
The total market capitalization of a portfolio
The average loss over a one-year horizon

Correct answer: The maximum loss not exceeded at a given confidence level over a specified period

VaR estimates the maximum potential loss at a specified confidence level (e.g., 95% or 99%) over a defined time horizon.

Question 76: What is the 'three lines of defense' model in operational risk governance?

Three separate risk databases: internal, external, and scenario data
A governance framework where business units (1st line) own risk, risk management functions (2nd line) oversee it, and internal audit (3rd line) independently assesses it (Correct answer)
Three levels of regulatory oversight: local, national, and international
Three approval layers required before any new financial product can be launched

Correct answer: A governance framework where business units (1st line) own risk, risk management functions (2nd line) oversee it, and internal audit (3rd line) independently assesses it

The three lines model clearly delineates ownership: 1st line manages and owns risk daily, 2nd line sets policy and monitors, 3rd line (internal audit) provides independent assurance.

Question 77: A firm's operational risk capital under the Basel III Standardized Approach (SA) is primarily driven by:

Business Indicator (BI) scaled by an Internal Loss Multiplier (Correct answer)
Regulatory-assigned risk weights by event type
VaR calculated from operational loss history
A fixed percentage of gross income

Correct answer: Business Indicator (BI) scaled by an Internal Loss Multiplier

The Basel III SA uses the Business Indicator (a proxy for revenue) multiplied by marginal coefficients and an Internal Loss Multiplier based on the firm's historical losses.

Question 78: What is the 'risk-parity' portfolio construction approach?

Maintaining a 50/50 split between equities and fixed income at all times
Allocating portfolio weights so that each asset class contributes equally to total portfolio risk rather than equal capital allocation (Correct answer)
Weighting assets equally by market capitalization
Matching portfolio duration to the investment liability horizon

Correct answer: Allocating portfolio weights so that each asset class contributes equally to total portfolio risk rather than equal capital allocation

Risk parity (popularized by Bridgewater's All Weather fund) typically results in overweighting low-volatility assets (bonds) and underweighting high-volatility assets (equities) relative to traditional portfolios.

Question 79: A 10-day VaR at 99% confidence is $1 million. What does this mean?

Losses will average $1 million per trading day
The firm will lose exactly $1 million over 10 days
There is a 1% chance losses will exceed $1 million over the next 10 days (Correct answer)
The firm expects to gain $1 million with 99% probability

Correct answer: There is a 1% chance losses will exceed $1 million over the next 10 days

A 99% VaR of $1 million means there is only a 1% probability that losses over the 10-day period will exceed $1 million.

Question 80: What is 'Pillar 2' in the Basel framework?

The minimum capital ratio requirement published in official Basel accords
The supervisory review process where regulators assess bank-specific risks not fully captured in Pillar 1 and can impose additional capital requirements (Correct answer)
The liquidity risk framework including LCR and NSFR requirements
The market discipline pillar requiring public disclosure of risk exposures

Correct answer: The supervisory review process where regulators assess bank-specific risks not fully captured in Pillar 1 and can impose additional capital requirements

Pillar 2 gives supervisors the authority to require banks to hold capital above the Pillar 1 minimum if their risk profile (concentration risk, interest rate risk in the banking book, etc.) warrants it.

Question 81: What is 'scenario analysis' used for in operational risk capital modeling?

Forecasting interest rate movements over a five-year horizon
Simulating equity portfolio returns under changing correlations
Using expert judgment to estimate the frequency and severity of rare but plausible extreme operational loss events not in the historical data (Correct answer)
Backtesting credit risk models against past defaults

Correct answer: Using expert judgment to estimate the frequency and severity of rare but plausible extreme operational loss events not in the historical data

Scenario analysis supplements internal loss data by capturing low-frequency/high-severity events (e.g., a major cyber attack or rogue trader) that haven't occurred recently but could happen.

Question 82: A Key Risk Indicator (KRI) in operational risk management is best described as:

A metric that provides early warning signals of increasing operational risk exposure (Correct answer)
The maximum acceptable loss from a single operational event
A regulatory ratio comparing operational losses to revenue
A threshold that triggers automatic trading halts in volatile markets

Correct answer: A metric that provides early warning signals of increasing operational risk exposure

KRIs are forward-looking metrics (e.g., staff turnover rate, system error rates) that signal rising operational risk before losses occur.

Question 83: Which method of VaR calculation uses the actual historical returns of a portfolio?

Parametric (variance-covariance) method
Historical simulation (Correct answer)
Stress testing
Monte Carlo simulation

Correct answer: Historical simulation

Historical simulation applies past observed returns directly to the current portfolio to estimate the VaR distribution without assuming normality.

Question 84: What is a Credit Default Swap (CDS)?

A loan participation agreement between two banks
A derivative where the protection buyer pays periodic premiums and receives a payment if a reference entity defaults (Correct answer)
An exchange-traded futures contract on corporate bond spreads
A bond that converts to equity upon default

Correct answer: A derivative where the protection buyer pays periodic premiums and receives a payment if a reference entity defaults

A CDS transfers credit risk from the protection buyer to the protection seller; the seller compensates the buyer for losses upon a defined credit event (default, restructuring, etc.).

Question 85: What does a 'wrong-way risk' mean in the context of counterparty credit risk?

The risk that collateral posted decreases in value during a default event
The risk that the mark-to-market value of a derivative is always negative
The risk that a hedge moves in the same direction as the exposure
The risk that the counterparty's probability of default is positively correlated with the exposure value (Correct answer)

Correct answer: The risk that the counterparty's probability of default is positively correlated with the exposure value

Wrong-way risk occurs when the creditworthiness of the counterparty deteriorates at the same time that exposure to that counterparty increases, amplifying credit loss.

Question 86: In the credit risk formula Expected Loss = PD × LGD × EAD, what does LGD stand for?

Liquidity Gap Duration
Loss Given Default (Correct answer)
Loan Growth Differential
Leverage Gross Discount

Correct answer: Loss Given Default

Loss Given Default (LGD) represents the proportion of the exposure that is actually lost when a default occurs, equal to 1 minus the recovery rate.

Question 87: Under the Basel III Standardized Approach for credit risk, a corporate loan with no external rating receives a risk weight of:

100% (Correct answer)
150%
0%
50%

Correct answer: 100%

Under Basel III's standardized approach, unrated corporate exposures receive a 100% risk weight for capital calculation purposes.

Question 88: A bank's Net Stable Funding Ratio (NSFR) is defined as:

Available Stable Funding divided by Required Stable Funding ≥ 100% (Correct answer)
Required Stable Funding divided by Available Stable Funding ≥ 100%
Tier 1 capital divided by risk-weighted assets ≥ 6%
HQLA divided by net cash outflows over 30 days ≥ 100%

Correct answer: Available Stable Funding divided by Required Stable Funding ≥ 100%

NSFR = ASF / RSF ≥ 100%; it ensures a bank has sufficient stable funding to support its assets and off-balance-sheet activities over a one-year horizon.

Question 89: Which of the following best describes a 'convexity adjustment' needed when pricing interest rate derivatives?

A correction to forward rate pricing due to the non-linear relationship between bond prices and yields (Correct answer)
A scaling factor applied to VaR for non-normal distributions
A haircut applied to collateral in repo transactions
An adjustment for credit risk in interest rate swaps

Correct answer: A correction to forward rate pricing due to the non-linear relationship between bond prices and yields

Convexity adjustments correct for the asymmetric (non-linear) price-yield relationship of bonds, particularly important when pricing futures versus forwards on interest rates.

Question 90: What is the Z-score model (Altman) primarily used for?

Predicting the probability of corporate bankruptcy using financial ratios (Correct answer)
Calculating the VaR of a credit portfolio
Estimating recovery rates in leveraged buyouts
Measuring interest rate risk of a bond portfolio

Correct answer: Predicting the probability of corporate bankruptcy using financial ratios

Altman's Z-score combines five financial ratios (profitability, leverage, liquidity, solvency, activity) into a single score to predict corporate financial distress within two years.

Question 91: Which of the following is an example of 'market liquidity risk'?

A trader losing money due to a rise in implied volatility
An investor unable to sell a large position without significantly moving the market price (Correct answer)
A firm facing higher borrowing costs due to credit rating downgrades
A bank unable to meet deposit withdrawals due to asset-liability mismatch

Correct answer: An investor unable to sell a large position without significantly moving the market price

Market liquidity risk is the risk that a position cannot be sold quickly enough at a fair price, often because the position is too large relative to the market's depth.

Question 92: A bank's trading desk holds a portfolio with a 1-day 99% VaR of $5 million. Under Basel III, what is the minimum regulatory capital requirement based on this VaR?

$50 million
$15 million (Correct answer)
$3.29 million
$5 million

Correct answer: $15 million

Basel III requires trading book capital to be at least 3 times the 10-day 99% VaR; scaling the 1-day figure by √10 ≈ $15.81M, and the multiplier of 3 yields approximately $15M minimum.

Question 93: What is a 'model risk' and why is it considered an operational risk?

The risk that a bank's business model becomes obsolete due to competition
The risk that a mathematical model used in pricing or risk measurement is incorrect or misapplied, leading to wrong decisions or misstated risk (Correct answer)
The risk that an economic model used for forecasting produces inaccurate GDP predictions
The risk of errors in financial statements filed with regulators

Correct answer: The risk that a mathematical model used in pricing or risk measurement is incorrect or misapplied, leading to wrong decisions or misstated risk

Model risk is an operational risk because flawed models (incorrect assumptions, coding errors, improper use) represent a failure of internal processes, potentially causing significant financial loss or regulatory penalties.

Question 94: What is the difference between 'investment grade' and 'speculative grade' (junk) bonds?

Investment grade bonds always have higher coupons than speculative grade bonds
Speculative grade bonds are only issued by governments
Investment grade bonds (BBB-/Baa3 and above) have lower default risk and require less regulatory capital than speculative grade (BB+ /Ba1 and below) (Correct answer)
Investment grade bonds cannot be traded in secondary markets

Correct answer: Investment grade bonds (BBB-/Baa3 and above) have lower default risk and require less regulatory capital than speculative grade (BB+ /Ba1 and below)

The investment grade / speculative grade divide at BBB-/Baa3 is a critical regulatory boundary affecting institutional investor mandates, capital requirements, and market access.

Question 95: Which of the following best describes the 'Advanced Measurement Approach' (AMA) for operational risk under Basel II?

A fixed 15% capital charge applied uniformly to all banks
A regulator-prescribed formula using total assets as the base
A peer-comparison method where capital is set to the 75th percentile of industry losses
An internal model approach where banks use quantitative models combining internal loss data, external data, scenario analysis, and business environment factors to estimate operational risk capital (Correct answer)

Correct answer: An internal model approach where banks use quantitative models combining internal loss data, external data, scenario analysis, and business environment factors to estimate operational risk capital

The AMA allowed sophisticated banks to build bespoke models for operational risk capital, incorporating all four data elements, subject to regulatory approval — it was replaced by the Standardized Measurement Approach in Basel IV.

Question 96: What does RR mean?

LGD recovered
EAD recovered (Correct answer)
FAD recovered
PD recovered

Correct answer: EAD recovered

Calculating expected loss and capital also need data for exposure at default (EAD). It is characterized as the total amount owed at the moment of default. Although this isn't always the case, a contract's exposure typically matches its unpaid balance.

Question 97: What does 'Vega' represent in the context of options risk management?

Sensitivity to changes in the underlying dividend yield
Sensitivity to changes in interest rates
Sensitivity to changes in implied volatility (Correct answer)
Sensitivity to changes in time to expiry

Correct answer: Sensitivity to changes in implied volatility

Vega quantifies how much an option's value changes for a 1% change in implied volatility, and is always positive for long option positions.

Question 98: What is the main limitation of VaR as a risk measure?

It cannot be applied to derivatives
It is too complex to calculate
It does not capture losses beyond the confidence threshold (tail risk) (Correct answer)
It always overstates losses

Correct answer: It does not capture losses beyond the confidence threshold (tail risk)

VaR tells you nothing about the severity of losses that exceed the confidence level, which is why Expected Shortfall (CVaR) is often used as a complement.

Question 99: What does the 'Greeks' measure Delta represent in options pricing?

The sensitivity of option price to changes in volatility
The time decay of an option's value
The sensitivity of option price to interest rate changes
The rate of change of option price relative to underlying asset price (Correct answer)

Correct answer: The rate of change of option price relative to underlying asset price

Delta measures how much an option's price changes for a $1 move in the underlying asset's price.

Question 100: Which risk metric is required by the Basel III/IV internal models approach to replace VaR?

Expected Shortfall (ES) at 97.5% (Correct answer)
Stress VaR at 99%
Conditional VaR (CVaR)
Maximum Drawdown

Correct answer: Expected Shortfall (ES) at 97.5%

Basel IV's Fundamental Review of the Trading Book (FRTB) replaces 99% VaR with 97.5% Expected Shortfall to better capture tail risk.

Financial Risk Manager (FRM) Part I Exam

The FRM Part I Examination, administered by the Global Association of Risk Professionals (GARP), is a 100-question multiple-choice exam covering the foundational tools used to assess financial risk. Candidates have four hours to complete the exam.

100

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240 min

Time Limit

50%

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