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

Question 1: Which of the following best describes 'basis risk' in a hedging strategy?

The risk of regulatory changes invalidating a hedge position
The risk of adverse interest rate movements on a hedge
The imperfect correlation between the hedging instrument and the hedged exposure (Correct answer)
The risk that a counterparty will default on the hedge contract

Correct answer: The imperfect correlation between the hedging instrument and the hedged exposure

Basis risk arises when the hedging instrument does not perfectly track the exposure being hedged, leaving residual risk.

Question 2: What is 'business continuity planning' (BCP) in the context of operational risk?

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

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 3: Under the Liquidity Coverage Ratio (LCR) rule, what minimum percentage of net cash outflows over 30 days must a bank hold in High-Quality Liquid Assets (HQLA)?

125%
100% (Correct answer)
60%
75%

Correct answer: 100%

The LCR requires banks to maintain HQLA at least equal to 100% of projected net cash outflows over a 30-day stress period, ensuring short-term resilience.

Question 4: What is 'concentration risk' in the context of operational risk?

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

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 5: The 'Greeks' measure vega as:

Sensitivity of option price to the passage of time
Sensitivity of option price to changes in implied volatility (Correct answer)
Sensitivity of option price to interest rate changes
The rate of change of delta with respect to underlying price

Correct answer: Sensitivity of option price to changes in implied volatility

Vega measures how much an option's price changes for each 1% point change in implied volatility.

Question 6: Under the Basel III Standardized Approach for credit risk, a corporate loan with no external rating receives a risk weight of:

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

Correct answer: 100%

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

Question 7: 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 the passage of time
Sensitivity of option price to changes in interest rates
Sensitivity of option price to changes in the underlying asset price (Correct answer)

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

Sensitivity to changes in implied volatility (Correct answer)
Sensitivity to changes in the underlying dividend yield
Sensitivity to changes in interest rates
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 9: Which of the following best describes the current exchange rate?

Spot exchange rate (Correct answer)
Interest exchange rate
Forward exchange rate
Uncovered exchange rate

Correct answer: Spot exchange rate

The price on the open market for a quick foreign exchange transaction is known as the outright spot exchange rate. It represents the rate at which two currencies can be exchanged at a particular moment. It assesses the value of financial derivatives like options, futures, and forwards.

Question 10: In a standard interest rate swap, the 'notional principal' refers to:

The profit or loss realized by each party at swap maturity
The reference amount used solely to calculate periodic interest payments (Correct answer)
The market value of the swap contract at any given point in time
The actual cash amount exchanged between counterparties at inception

Correct answer: The reference amount used solely to calculate periodic interest payments

The notional principal is a reference figure used to calculate interest payments; in most interest rate swaps, it is never actually exchanged between the counterparties.

Question 11: Which of the following best defines 'concentration risk' in a loan portfolio?

Risk that all loans in the portfolio have the same maturity
Risk arising from a single counterparty or sector representing a disproportionately large share of exposures (Correct answer)
Risk of regulatory capital requirements increasing
Risk that loan spreads compress due to competitive pricing

Correct answer: Risk arising from a single counterparty or sector representing a disproportionately large share of exposures

Concentration risk refers to excessive exposure to a single borrower, industry, or geography, which can lead to large correlated losses if that segment experiences stress.

Question 12: What is 'liquidity-adjusted VaR' (LVaR)?

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)
VaR computed using only liquid instruments as proxies
VaR that excludes illiquid positions entirely

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

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

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

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

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.

Question 15: What is 'systematic risk' (market risk) versus 'idiosyncratic risk' (specific risk)?

Both types of risk can be eliminated by holding a large portfolio
Systematic risk affects all assets and cannot be diversified away; idiosyncratic risk is specific to individual assets and can be reduced through diversification (Correct answer)
Idiosyncratic risk is the dominant risk in a well-diversified portfolio
Systematic risk can be diversified away; idiosyncratic risk cannot

Correct answer: Systematic risk affects all assets and cannot be diversified away; idiosyncratic risk is specific to individual assets and can be reduced through diversification

Systematic risk (beta) stems from macroeconomic factors affecting all assets — it cannot be diversified away. Idiosyncratic risk from individual company events averages out in large portfolios.

Question 16: What does RR mean?

FAD recovered
EAD recovered (Correct answer)
LGD 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 17: What is the primary risk associated with a 'wrong-way risk' in derivatives transactions?

The counterparty's creditworthiness improves when the trade is in-the-money
Interest rates move against the expected hedge direction
The derivative is mispriced due to model error
The counterparty's default risk increases precisely when the exposure on the trade is largest (Correct answer)

Correct answer: The counterparty's default risk increases precisely when the exposure on the trade is largest

Wrong-way risk occurs when counterparty credit quality deteriorates at the same time the trade's mark-to-market exposure increases, compounding losses.

Question 18: In operational risk, what is the 'frequency-severity' framework?

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
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

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

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

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 20: What is 'liability-driven investing' (LDI) and who primarily uses it?

A strategy that holds only liability-free assets such as cash and government bonds
An approach used by hedge funds to maximize absolute returns using leverage
A trading strategy that profits from mispricings between assets and their derivatives
An investment strategy that aligns asset portfolios with the characteristics of a defined liability stream, primarily used by pension funds and insurance companies (Correct answer)

Correct answer: An investment strategy that aligns asset portfolios with the characteristics of a defined liability stream, primarily used by pension funds and insurance companies

LDI matches duration, inflation sensitivity, and cash flows of assets to liabilities, minimizing the risk that assets are insufficient to meet future obligations regardless of market movements.

Question 21: Which of the following is a key assumption underlying the parametric (variance-covariance) VaR approach?

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

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

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

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 23: What is 'conduct risk' in operational risk management?

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

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

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

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 25: The 'theta' of a long option position is typically negative because:

Options lose extrinsic value as expiration approaches due to time decay (Correct answer)
Options require larger margin deposits over time
Options become more volatile near expiration
Options lose delta as the underlying price fluctuates

Correct answer: Options lose extrinsic value as expiration approaches due to time decay

Theta is negative for long options because time decay continuously erodes the option's time value, even if the underlying price remains unchanged.

Question 26: What is the primary purpose of a Credit Valuation Adjustment (CVA)?

To assess interest rate risk in the banking book
To adjust the fair value of derivatives for counterparty default risk (Correct answer)
To calculate regulatory capital for market risk
To measure operational risk losses from system failures

Correct answer: To adjust the fair value of derivatives for counterparty default risk

CVA is the market value of counterparty credit risk embedded in OTC derivatives, representing the expected loss due to counterparty default.

Question 27: 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 regulatory fine for mis-selling products
A vendor failing to deliver contracted services
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 28: What is 'tracking error' in portfolio management?

The number of positions that deviated from the model portfolio
The standard deviation of the difference between a portfolio's return and its benchmark return (Correct answer)
The absolute difference between a portfolio's return and the market return
The total cost of trading errors in a given month

Correct answer: The standard deviation of the difference between a portfolio's return and its benchmark return

Tracking error measures how closely a portfolio follows its benchmark; low tracking error means the portfolio returns closely mirror benchmark returns, high tracking error indicates more active deviation.

Question 29: Which of the following is an example of 'execution, delivery, and process management' as an operational risk event type?

A customer suing the bank for discriminatory lending practices
A trader executing unauthorized trades to inflate his bonus
A back-office employee entering the wrong counterparty on a trade ticket causing a settlement fail (Correct answer)
A hurricane destroying a branch office

Correct answer: A back-office employee entering the wrong counterparty on a trade ticket causing a settlement fail

Execution errors such as trade entry mistakes, settlement failures, and data-entry errors in the processing chain fall under the Basel event type 'Execution, Delivery and Process Management.'

Question 30: In Basel II/III, what does the 'internal ratings-based' (IRB) approach allow banks to do?

Apply a flat 8% capital charge to all credit exposures regardless of risk
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)

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 31: 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 5%
Decreases by 5% (Correct answer)
Decreases by 0.5%
Increases by 0.5%

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

Market risk because it affects asset prices
Liquidity risk because it can freeze payment systems
Operational risk under the 'systems failures' or 'external events' category (Correct answer)
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 33: Under Basel II/III, the 'boundary' between the banking book and trading book matters primarily for which risk type?

Liquidity risk — banking book assets have longer liquidity horizons than trading book
Operational risk — banking book losses are excluded from AMA
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: What is the Treynor ratio and how does it differ from the Sharpe ratio?

Both are identical; they use different notation for the same calculation
The Treynor ratio uses downside deviation while Sharpe uses total standard deviation
The Treynor ratio compares portfolio return to a benchmark rather than a risk-free rate
The Treynor ratio uses beta (systematic risk) in the denominator instead of total standard deviation, making it useful when a portfolio is part of a larger diversified whole (Correct answer)

Correct answer: The Treynor ratio uses beta (systematic risk) in the denominator instead of total standard deviation, making it useful when a portfolio is part of a larger diversified whole

Treynor = (Rp − Rf) / β; by using beta, it rewards return per unit of systematic risk, which is appropriate when idiosyncratic risk has been diversified away at the fund level.

Question 35: What does 'counterparty credit risk' (CCR) refer to in derivatives?

The risk that a bond issuer calls the bond before maturity
The risk that collateral margins are insufficient to cover mark-to-market losses
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

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

A market risk arising from changes in brand value as reflected in stock prices
An operational risk sub-category explicitly covered by Basel capital requirements
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 credit risk arising from a firm's reputation affecting its borrowing costs

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

It does not capture losses beyond the confidence threshold (tail risk) (Correct answer)
It is too complex to calculate
It cannot be applied to derivatives
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 38: What else is referred to as a net worth statement

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

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

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

Correct answer: Historical simulation

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

Question 40: 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
The market value of counterparty credit risk embedded in a derivative, representing the expected cost of counterparty default (Correct answer)
An adjustment to a bond's yield for its credit rating

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 41: Which credit risk model uses equity prices and balance sheet data to estimate the distance-to-default?

KMV/Merton structural model (Correct answer)
CreditMetrics (JP Morgan)
Altman Z-Score model
CreditRisk+ (Actuarial model)

Correct answer: KMV/Merton structural model

The KMV model, based on Merton's structural framework, treats equity as a call option on firm assets and derives the distance-to-default from asset volatility and leverage.

Question 42: Which of the following is an example of an internal fraud operational risk event?

A payment system failure causing delayed settlements
A hurricane destroying a bank's data center
A rogue trader exceeding authorized position limits to conceal losses (Correct answer)
A client suing the bank for mis-selling a financial product

Correct answer: A rogue trader exceeding authorized position limits to conceal losses

Rogue trading involves unauthorized positions taken by an internal employee, making it an internal fraud event under Basel's operational risk taxonomy.

Question 43: Which of the following best describes 'model validation' in financial risk management?

The ongoing calibration of model parameters to ensure they reflect current market conditions
An independent review to assess whether a risk model is conceptually sound and performs as intended (Correct answer)
The backtesting of VaR models against at least 250 days of historical P&L data
The process by which regulators approve internal models for use in regulatory capital calculations

Correct answer: An independent review to assess whether a risk model is conceptually sound and performs as intended

Model validation is an independent internal process evaluating model design, data quality, assumptions, and performance to identify limitations and ensure fitness for purpose.

Question 44: What is 'recovery rate' in credit risk, and what is a typical value for senior unsecured bonds?

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 portion of a loan that is guaranteed; typically 100%
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 45: Under the Basel traffic-light backtesting framework, a bank in the 'red zone' (10+ exceptions in 250 days) faces which consequence?

Automatic model approval
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

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

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

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 47: Gamma risk in options trading refers to:

Sensitivity of option price to the passage of time
The rate of change of vega with respect to implied volatility
The rate of change of delta with respect to the underlying price (Correct answer)
Sensitivity of option price to changes in implied volatility

Correct answer: The rate of change of delta with respect to the underlying price

Gamma measures how much delta changes for a unit move in the underlying, indicating the curvature of the option's price-underlying relationship.

Question 48: According to Basel III, operational risk is defined as the risk of loss resulting from:

Liquidity shortfalls during market stress periods
Credit defaults by borrowers or counterparties
Adverse market movements in interest rates or equity prices
Inadequate or failed internal processes, people, systems, or external events (Correct answer)

Correct answer: Inadequate or failed internal processes, people, systems, or external events

Basel defines operational risk as losses from failed or inadequate internal processes, people, and systems, or from external events such as fraud or natural disasters.

Question 49: Risk of reinvestment rate is of concern because:

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.
price of a bond
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 50: Delta-normal VaR assumes portfolio returns follow which distribution?

Log-normal distribution
Uniform 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 51: There are two methods for reducing interest rate risk that are independent of the kind of bonds bought:

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

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

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

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 53: The 'Merton model' of credit risk models a firm's default as:

When the market value of the firm's assets falls below the face value of its liabilities at debt maturity (Correct answer)
The moment a rating agency downgrades the firm to speculative grade
The point at which the firm's cash flows can no longer service its debt interest payments
The firm's failure to maintain required regulatory capital ratios above minimum thresholds

Correct answer: When the market value of the firm's assets falls below the face value of its liabilities at debt maturity

The Merton model treats equity as a call option on firm assets; default occurs when asset value falls below the debt face value at maturity.

Question 54: What is the 'square root of time' rule used for in market risk?

To determine the convexity adjustment for long-dated options
To calculate the correlation between two assets over different time horizons
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)

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

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

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

The probability that a borrower will default within one year
The total exposure outstanding at the time of default
The percentage of exposure a lender loses after recovery efforts (Correct answer)
The market value of collateral securing a loan

Correct answer: The percentage of exposure a lender loses after recovery efforts

LGD is the proportion of the exposure that is permanently lost after accounting for recoveries and costs, typically expressed as a percentage.

Question 57: Which of the following best describes the 'Advanced Measurement Approach' (AMA) for operational risk under Basel II?

A peer-comparison method where capital is set to the 75th percentile of industry losses
A regulator-prescribed formula using total assets as the base
A fixed 15% capital charge applied uniformly to all banks
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 58: In the credit risk formula Expected Loss = PD × LGD × EAD, what does LGD stand for?

Loss Given Default (Correct answer)
Liquidity Gap Duration
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 59: In the context of credit risk, what does the Loss Given Default (LGD) represent?

The fraction of exposure lost when a borrower defaults (Correct answer)
The probability that a borrower will default
The total outstanding exposure at the time of default
The expected recovery rate minus collateral value

Correct answer: The fraction of exposure lost when a borrower defaults

LGD is the proportion of the exposure at default that is not recovered after the borrower defaults, typically expressed as 1 minus the recovery rate.

Question 60: What is 'convexity' in fixed income risk management?

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
The difference between a bond's coupon rate and its yield to maturity
A measure of a bond's credit quality

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 61: A company expecting to receive €5 million in 3 months wants to eliminate currency risk. Which derivative is most appropriate?

Forward contract (Correct answer)
Currency call option
Credit default swap
Interest rate swap

Correct answer: Forward contract

A forward contract locks in the exchange rate for a future date, eliminating currency risk entirely by fixing the conversion terms today.

Question 62: What is the difference between 'expected loss' and 'unexpected loss' in risk management?

Expected loss is the average anticipated loss priced into products; unexpected loss requires capital as a buffer (Correct answer)
Expected loss is for credit risk only; unexpected loss applies to market and operational risk
Expected loss triggers provisioning; unexpected loss is written off immediately
Expected loss uses historical data; unexpected loss uses scenario analysis exclusively

Correct answer: Expected loss is the average anticipated loss priced into products; unexpected loss requires capital as a buffer

Expected loss is the average loss built into pricing and provisions; unexpected loss is the deviation above expected that economic capital is designed to absorb.

Question 63: 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
-$6,000,000
-$300,000
-$3,000,000 (Correct answer)

Correct answer: -$3,000,000

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

Question 64: A company with floating-rate debt enters a pay-fixed, receive-floating interest rate swap. This hedge protects against:

Currency depreciation
Falling interest rates
Credit spread widening
Rising interest rates (Correct answer)

Correct answer: Rising interest rates

Paying fixed and receiving floating means the company's net cost is fixed; when rates rise, the higher floating receipts offset increased floating debt costs.

Question 65: A credit default swap (CDS) buyer pays a premium to the seller. In exchange, the seller agrees to:

Deliver the reference bond to the buyer at par upon credit event
Provide the buyer with interest payments on the notional amount
Make a payment to the buyer if a specified credit event occurs on the reference entity (Correct answer)
Buy the reference entity's equity if the bond defaults

Correct answer: Make a payment to the buyer if a specified credit event occurs on the reference entity

In a CDS, the protection seller compensates the buyer for losses if a defined credit event (such as default or restructuring) occurs on the reference entity.

Question 66: Under the Basel III framework, what is the Fundamental Review of the Trading Book (FRTB)?

A review of all trading book positions for accounting purposes
A stress test required quarterly for all US banks
A revised market risk capital framework replacing the internal models approach (Correct answer)
The process for reclassifying assets between banking and trading books

Correct answer: A revised market risk capital framework replacing the internal models approach

FRTB is Basel III's revamped market risk capital standard, replacing VaR with Expected Shortfall and tightening internal model standards.

Question 67: 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 68: What does a 'wrong-way risk' mean in the context of counterparty credit risk?

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 collateral posted decreases in value during a default event
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 69: What is a 'credit rating migration matrix' used for in credit risk?

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

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

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

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 71: Which of the following does not affect interest rates?

Rising inflation
Growth economy
Increase in credit demand
None of the above (Correct answer)

Correct answer: None of the above

An increase in credit demand, rising inflation, and a growing economy can indeed have an impact on interest rates. <br> It's important to note that interest rates are influenced by various factors, including monetary policy decisions by central banks, market conditions, inflation expectations, and global economic trends. Therefore, changes in credit demand, inflation, and economic growth can be important factors that shape interest rate decisions, but they are not the only determinants.

Question 72: Backtesting a VaR model involves:

Comparing VaR forecasts against actual trading P&L to assess model accuracy (Correct answer)
Re-running historical stress scenarios with updated portfolio compositions
Testing whether VaR captures more risk than Expected Shortfall for the same portfolio
Running VaR calculations backward in time using current market parameters

Correct answer: Comparing VaR forecasts against actual trading P&L to assess model accuracy

Backtesting compares the VaR estimate with actual daily P&L outcomes to assess whether exceptions (losses exceeding VaR) occur at the modeled frequency.

Question 73: How is operational risk defined under the Basel framework?

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

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 74: Which measure captures how much a single position contributes to overall portfolio VaR?

Marginal VaR
Diversified VaR
Component VaR (Correct answer)
Incremental VaR

Correct answer: Component VaR

Component VaR allocates total portfolio VaR to individual positions, showing each position's contribution including diversification effects.

Question 75: What is the Z-score model (Altman) primarily used for?

Calculating the VaR of a credit portfolio
Predicting the probability of corporate bankruptcy using financial ratios (Correct answer)
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 76: Which of these companies doesn't have a financial risk manager?

Food conservation companies (Correct answer)
Consulting firms
Asset management firms
Banks

Correct answer: Food conservation companies

Food conservation companies primarily focus on preserving and packaging food products, and their risk management efforts may primarily revolve around ensuring food safety, compliance with regulations, and maintaining product quality. While financial risks are a crucial aspect of overall risk management, smaller companies might handle financial risk management through the roles of the finance team, CFO, or senior management, rather than having a dedicated financial risk manager.

Question 77: Under the Value at Risk framework, increasing the confidence level from 95% to 99% while holding the time horizon constant will:

Leave the VaR estimate unchanged
Increase the VaR estimate (Correct answer)
Decrease the VaR estimate
Make VaR undefined

Correct answer: Increase the VaR estimate

A higher confidence level means the threshold loss is set further into the tail of the distribution, so the VaR figure (the minimum loss at that percentile) increases.

Question 78: What is a Credit Default Swap (CDS)?

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

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

A standardized stress test prescribed by regulators with fixed scenarios
A regulatory audit conducted by the Federal Reserve of all US banks annually
A process for calculating minimum regulatory capital requirements under the standardized approach
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)

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 80: What is the Sharpe Ratio used to measure in portfolio risk management?

Maximum drawdown relative to portfolio value
Correlation between two assets
Risk-adjusted return per unit of total risk (Correct answer)
Total portfolio volatility

Correct answer: Risk-adjusted return per unit of total risk

The Sharpe Ratio measures excess return (above the risk-free rate) per unit of total portfolio standard deviation.

Question 81: Recovery rate in credit risk is most accurately defined as:

The haircut applied to collateral in repo transactions
The speed at which a borrower's credit rating improves post-default
The fraction of exposure a lender recovers after a borrower defaults (Correct answer)
The interest rate recovered on a defaulted loan after workout

Correct answer: The fraction of exposure a lender recovers after a borrower defaults

Recovery rate is the portion of the outstanding exposure that is ultimately collected through asset liquidation, restructuring, or legal proceedings.

Question 82: The 'Greeks' in options risk management — delta, gamma, vega, theta, and rho — measure sensitivity to which respective market factors?

Underlying price, curvature of delta, implied volatility, time decay, interest rates (Correct answer)
Underlying price, interest rates, implied volatility, dividends, time decay
Interest rates, credit spreads, volatility, time value, dividends
Volatility, correlation, skew, term structure, liquidity

Correct answer: Underlying price, curvature of delta, implied volatility, time decay, interest rates

Delta measures sensitivity to underlying price; gamma to changes in delta; vega to implied volatility; theta to time decay; rho to interest rates.

Question 83: What is 'netting' in the context of counterparty credit risk?

Combining multiple credit ratings into a single composite score
The process of settling a defaulted derivative at par value
Reducing collateral requirements by posting higher-quality assets
Canceling out offsetting positive and negative mark-to-market values across multiple contracts with the same counterparty to reduce total exposure (Correct answer)

Correct answer: Canceling out offsetting positive and negative mark-to-market values across multiple contracts with the same counterparty to reduce total exposure

Legal netting agreements allow a firm to offset gains and losses across multiple trades with a defaulted counterparty, significantly reducing gross credit exposure.

Question 84: What does Value at Risk (VaR) measure?

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

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 85: 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 86: What is a 'Risk and Control Self-Assessment' (RCSA) in operational risk?

An external benchmarking study comparing operational losses across peer banks
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)
A legal review of vendor contracts for liability exposure

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

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

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 88: In stress testing, what is the main advantage of scenario analysis over sensitivity analysis?

It relies purely on historical data without any assumptions
It provides exact probability estimates for tail events
It is computationally simpler and faster
It simultaneously assesses the impact of multiple risk factors changing together (Correct answer)

Correct answer: It simultaneously assesses the impact of multiple risk factors changing together

Scenario analysis evaluates the combined effect of multiple correlated risk factors changing at once, reflecting real-world crisis dynamics.

Question 89: What is backtesting in the context of VaR models?

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

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 90: What is 'wrong-way risk' in the context of market risk?

Trading losses caused by erroneous order entry
The risk that exposure to a counterparty increases as the counterparty's creditworthiness deteriorates (Correct answer)
Risk arising from incorrect model parameters in VaR calculations
Basis risk between hedging instrument and the exposure being hedged

Correct answer: The risk that exposure to a counterparty increases as the counterparty's creditworthiness deteriorates

Wrong-way risk occurs when credit exposure to a counterparty is positively correlated with the counterparty's probability of default.

Question 91: A risk manager observes that a portfolio's historical VaR backtesting shows 12 exceptions over 250 trading days at the 99% confidence level. According to Basel's traffic light framework, this result falls in which zone?

Red zone — model likely flawed (Correct answer)
Yellow zone — increased scrutiny required
Amber zone — regulatory review pending
Green zone — acceptable performance

Correct answer: Red zone — model likely flawed

The red zone begins at 10 or more exceptions over 250 days; 12 exceptions signals that the model likely underestimates risk and requires immediate review.

Question 92: Net Present Value (NPV) of a CDS from the protection buyer's perspective is zero at inception because:

No upfront payment is made in standard CDS contracts
Mark-to-market rules prohibit initial gains or losses on derivatives
CDS contracts always settle at par value
The present value of the premium leg equals the present value of the protection leg at fair spread (Correct answer)

Correct answer: The present value of the premium leg equals the present value of the protection leg at fair spread

At inception, the CDS spread is set so that the PV of expected premium payments equals the PV of expected default protection payouts.

Question 93: Which Greek measures the rate of change of Delta with respect to the underlying asset price?

Vega
Gamma (Correct answer)
Theta
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 94: What is the 'Basic Indicator Approach' (BIA) for operational risk capital under Basel?

Capital = 12% × average total assets over the past five years
Capital = 8% × average net interest income over the past year
Capital = 15% × average annual gross income over the past three years (Correct answer)
Capital = 18% × gross income for the current year only

Correct answer: Capital = 15% × average annual gross income over the past three years

The BIA requires banks to hold operational risk capital equal to 15% of their average positive annual gross income over the previous three years, using gross income as a proxy for risk exposure.

Question 95: A risk manager says a portfolio has negative skewness. This means:

The portfolio has more frequent small gains but is exposed to large, infrequent losses (Correct answer)
The portfolio has lower volatility than the benchmark but similar expected return
The portfolio has more frequent small losses but is exposed to large, infrequent gains
The portfolio returns are symmetric around the mean with no directional bias

Correct answer: The portfolio has more frequent small gains but is exposed to large, infrequent losses

Negative skewness indicates a left-tailed distribution; returns are clustered on the upside but extreme downside events (crashes) occur with significant magnitude.

Question 96: Which of these does not justify implementing the Basel Accords?

Tracking
Management of human error (Correct answer)
Reporting
Exposure of operational risk

Correct answer: Management of human error

By ensuring that personnel have clear instructions on how to carry out their responsibilities and that they fully comprehend what is expected of them, you can manage human error in the workplace. Only those personnel who have the necessary aptitude and experience should be given tasks.

Question 97: What is 'credit spread' in fixed income markets?

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

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

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 approval layers required before any new financial product can be launched
Three separate risk databases: internal, external, and scenario data
Three levels of regulatory oversight: local, national, and international

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 99: What does a correlation coefficient of −1 between two assets imply for portfolio risk?

The portfolio would have maximum variance
The assets have identical returns and no diversification value
The two assets move in perfect opposite directions, allowing complete elimination of risk when combined in the right proportions (Correct answer)
The two assets are independent and provide no diversification benefit

Correct answer: The two assets move in perfect opposite directions, allowing complete elimination of risk when combined in the right proportions

Perfect negative correlation means when one asset rises the other falls by the same magnitude — the perfect hedge; combining them in the right ratio theoretically eliminates all portfolio variance.

Question 100: What is the purpose of maintaining an 'internal loss database' (ILD) for operational risk?

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

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.

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

Questions

240 min

Time Limit

50%

To Pass

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