FRM – Financial Risk Manager | Comprehensive
Study Guide, Practice Exam, Questions & Answers,
FRM Certification Exam Prep Test Bank, Market Risk,
Credit Risk, Operational Risk, Investment
Management, Quantitative Analysis, Financial
Markets, Risk Models, Basel Framework, Detailed
Rationales, Complete Review
Question 1: In the context of the Basel III framework, what is the primary
purpose of the Liquidity Coverage Ratio (LCR)?
A. To ensure banks maintain a stable funding profile in relation to their assets and off-
balance sheet activities over a one-year horizon.
B. To require banks to hold a stock of unencumbered high-quality liquid assets (HQLA)
sufficient to cover net cash outflows over a 30-day stress scenario.
C. To limit the size of a bank's trading book relative to its banking book to reduce
market risk.
D. To calculate the minimum capital requirement for operational risk using the
standardized approach.
CORRECT ANSWER: B. To require banks to hold a stock of unencumbered
high-quality liquid assets (HQLA) sufficient to cover net cash outflows over a
30-day stress scenario.
Rationale: The LCR is a key Basel III liquidity standard designed to promote short-term
resilience. It mandates that banks hold enough HQLA to survive a significant stress
event lasting 30 days. Option A describes the Net Stable Funding Ratio (NSFR), which
focuses on a one-year horizon. Options C and D are incorrect as they relate to market
risk limits and operational risk capital, respectively.
Question 2: Which of the following best describes the "Greeks" in options
trading, specifically the measure of an option's sensitivity to the volatility of
the underlying asset?
A. Delta
B. Gamma
C. Vega
D. Theta
CORRECT ANSWER: C. Vega
Rationale: Vega measures the sensitivity of an option's price to a 1% change in the
implied volatility of the underlying asset. Delta (A) measures sensitivity to the
underlying price. Gamma (B) measures the rate of change of Delta. Theta (D) measures
the sensitivity to the passage of time.
,Question 3: What is the primary risk faced by an investor who has entered into
a plain vanilla interest rate swap where they pay a fixed rate and receive a
floating rate?
A. Basis risk, if the floating rate does not move in line with the fixed rate.
B. Credit risk, only if the counterparty defaults at the initiation of the swap.
C. Market risk, specifically that floating rates will decrease, reducing their received cash
flows.
D. Liquidity risk, due to the long-term nature of the swap contract.
CORRECT ANSWER: C. Market risk, specifically that floating rates will
decrease, reducing their received cash flows.
Rationale: A payer of a fixed rate and receiver of a floating rate benefits when floating
rates rise. The primary market risk is that floating rates fall, leading to net payments to
the counterparty. Credit risk exists throughout the life of the swap, not just at initiation
(B). Basis risk (A) is not the primary risk here as it involves mismatched indices.
Liquidity risk (D) is secondary.
Question 4: In the Merton model for credit risk, a firm's equity is viewed as a
call option on its assets. What is the strike price of this option?
A. The market value of the firm's equity.
B. The face value of the firm's debt.
C. The volatility of the firm's assets.
D. The risk-free interest rate.
CORRECT ANSWER: B. The face value of the firm's debt.
Rationale: In the Merton model, equity holders have a claim on the firm's assets only
after debt holders are paid off. The payoff to equity holders is max(V_T - D, 0), where
V_T is the asset value at maturity and D is the face value of the debt. This is the payoff
of a call option on assets with a strike price equal to D.
Question 5: What is the definition of "Wrong-Way Risk" in the context of
counterparty credit risk?
A. The risk that the counterparty defaults when the market risk factors are moving in a
direction that causes a loss to the portfolio.
B. The risk that the exposure to a counterparty is negatively correlated with the credit
quality of that counterparty.
C. The risk that a bank's internal models incorrectly estimate the probability of default.
D. The risk that a collateral agreement is not legally enforceable in a specific jurisdiction.
CORRECT ANSWER: B. The risk that the exposure to a counterparty is
negatively correlated with the credit quality of that counterparty.
,Rationale: Wrong-way risk occurs when an increase in a bank's exposure to a
counterparty (e.g., because of a market move) is accompanied by a deterioration in the
counterparty's creditworthiness. This negative correlation exacerbates the risk. Option
A is a generic definition. Option C is model risk, and D is legal risk.
Question 6: Which of the following is a characteristic of a coherent risk
measure?
A. It must be sub-additive, meaning the risk of a portfolio is always greater than or equal
to the sum of the individual risks.
B. It must be monotonic, implying a portfolio with higher payoffs has lower risk.
C. It must be positive homogeneous, meaning scaling the portfolio by a factor scales the
risk by a different factor.
D. It must be translation invariant, meaning adding cash to a portfolio increases its risk.
CORRECT ANSWER: B. It must be monotonic, implying a portfolio with higher
payoffs has lower risk.
Rationale: Coherent risk measures satisfy four axioms: monotonicity, translation
invariance, positive homogeneity, and sub-additivity. Monotonicity means that if
portfolio A always has greater payoffs than portfolio B, the risk of A should be less than
or equal to the risk of B. Option A is incorrect because sub-additivity states the risk of a
portfolio is less than or equal to the sum of individual risks (diversification). Option C is
wrong as scaling is a linear factor. Option D is incorrect as translation invariance
requires adding cash to reduce risk.
Question 7: What is the primary difference between the Expected Shortfall
(ES) and Value at Risk (VaR) as risk measures?
A. VaR is a coherent risk measure, while ES is not.
B. VaR measures the expected loss on the worst days, while ES measures the maximum
possible loss.
C. ES provides an estimate of the expected loss in the tail beyond the VaR threshold,
while VaR indicates a loss threshold that is not exceeded with a given confidence level.
D. ES is more computationally intensive only for elliptical distributions, while VaR is
simpler.
CORRECT ANSWER: C. ES provides an estimate of the expected loss in the tail
beyond the VaR threshold, while VaR indicates a loss threshold that is not
exceeded with a given confidence level.
Rationale: VaR is a threshold value: the maximum loss over a target horizon at a given
confidence level. ES is the expected value of the losses that exceed the VaR threshold,
providing a sense of the tail severity. Option A is incorrect; ES is coherent while VaR is
, not. Option B is incorrect as VaR is a threshold, not an expected loss, and ES is not a
maximum possible loss. Option D is misleading.
Question 8: In the context of securitization, what is a "Special Purpose
Vehicle" (SPV) primarily used for?
A. To manage the ongoing operational risk of the underlying loan portfolio.
B. To facilitate a bankruptcy-remote transfer of assets from the originator to the
investors.
C. To hedge the interest rate risk of the underlying mortgages.
D. To underwrite new loans for the originating bank.
CORRECT ANSWER: B. To facilitate a bankruptcy-remote transfer of assets
from the originator to the investors.
Rationale: An SPV is a legal entity created to isolate assets from the originator's balance
sheet, thereby protecting investors from the originator's bankruptcy risk. The assets are
sold to the SPV, which then issues securities. Option A is incorrect because the SPV
does not typically manage operational risk. Options C and D are not the primary
functions of an SPV.
Question 9: Which of the following is a key assumption of the Capital Asset
Pricing Model (CAPM)?
A. Investors can borrow and lend at different risk-free rates.
B. Asset returns are normally distributed and markets are perfectly liquid.
C. Investors have homogeneous expectations regarding asset returns, variances, and
covariances.
D. There are taxes and transaction costs that must be considered.
CORRECT ANSWER: C. Investors have homogeneous expectations regarding
asset returns, variances, and covariances.
Rationale: CAPM assumes that all investors have the same expectations (homogeneous
expectations) about future asset returns and risks. It also assumes borrowing and
lending at the same risk-free rate (A), no taxes or transaction costs (D), and often
assumes normality for returns (B) but the core model relies on these expectations.
Option C is a cornerstone assumption.
Question 10: A risk manager is evaluating a bond with a modified duration of
7.5. If the yield to maturity increases by 50 basis points (0.50%), what is the
approximate percentage price change of the bond using duration alone?
A. -3.75%
B. -2.50%
Study Guide, Practice Exam, Questions & Answers,
FRM Certification Exam Prep Test Bank, Market Risk,
Credit Risk, Operational Risk, Investment
Management, Quantitative Analysis, Financial
Markets, Risk Models, Basel Framework, Detailed
Rationales, Complete Review
Question 1: In the context of the Basel III framework, what is the primary
purpose of the Liquidity Coverage Ratio (LCR)?
A. To ensure banks maintain a stable funding profile in relation to their assets and off-
balance sheet activities over a one-year horizon.
B. To require banks to hold a stock of unencumbered high-quality liquid assets (HQLA)
sufficient to cover net cash outflows over a 30-day stress scenario.
C. To limit the size of a bank's trading book relative to its banking book to reduce
market risk.
D. To calculate the minimum capital requirement for operational risk using the
standardized approach.
CORRECT ANSWER: B. To require banks to hold a stock of unencumbered
high-quality liquid assets (HQLA) sufficient to cover net cash outflows over a
30-day stress scenario.
Rationale: The LCR is a key Basel III liquidity standard designed to promote short-term
resilience. It mandates that banks hold enough HQLA to survive a significant stress
event lasting 30 days. Option A describes the Net Stable Funding Ratio (NSFR), which
focuses on a one-year horizon. Options C and D are incorrect as they relate to market
risk limits and operational risk capital, respectively.
Question 2: Which of the following best describes the "Greeks" in options
trading, specifically the measure of an option's sensitivity to the volatility of
the underlying asset?
A. Delta
B. Gamma
C. Vega
D. Theta
CORRECT ANSWER: C. Vega
Rationale: Vega measures the sensitivity of an option's price to a 1% change in the
implied volatility of the underlying asset. Delta (A) measures sensitivity to the
underlying price. Gamma (B) measures the rate of change of Delta. Theta (D) measures
the sensitivity to the passage of time.
,Question 3: What is the primary risk faced by an investor who has entered into
a plain vanilla interest rate swap where they pay a fixed rate and receive a
floating rate?
A. Basis risk, if the floating rate does not move in line with the fixed rate.
B. Credit risk, only if the counterparty defaults at the initiation of the swap.
C. Market risk, specifically that floating rates will decrease, reducing their received cash
flows.
D. Liquidity risk, due to the long-term nature of the swap contract.
CORRECT ANSWER: C. Market risk, specifically that floating rates will
decrease, reducing their received cash flows.
Rationale: A payer of a fixed rate and receiver of a floating rate benefits when floating
rates rise. The primary market risk is that floating rates fall, leading to net payments to
the counterparty. Credit risk exists throughout the life of the swap, not just at initiation
(B). Basis risk (A) is not the primary risk here as it involves mismatched indices.
Liquidity risk (D) is secondary.
Question 4: In the Merton model for credit risk, a firm's equity is viewed as a
call option on its assets. What is the strike price of this option?
A. The market value of the firm's equity.
B. The face value of the firm's debt.
C. The volatility of the firm's assets.
D. The risk-free interest rate.
CORRECT ANSWER: B. The face value of the firm's debt.
Rationale: In the Merton model, equity holders have a claim on the firm's assets only
after debt holders are paid off. The payoff to equity holders is max(V_T - D, 0), where
V_T is the asset value at maturity and D is the face value of the debt. This is the payoff
of a call option on assets with a strike price equal to D.
Question 5: What is the definition of "Wrong-Way Risk" in the context of
counterparty credit risk?
A. The risk that the counterparty defaults when the market risk factors are moving in a
direction that causes a loss to the portfolio.
B. The risk that the exposure to a counterparty is negatively correlated with the credit
quality of that counterparty.
C. The risk that a bank's internal models incorrectly estimate the probability of default.
D. The risk that a collateral agreement is not legally enforceable in a specific jurisdiction.
CORRECT ANSWER: B. The risk that the exposure to a counterparty is
negatively correlated with the credit quality of that counterparty.
,Rationale: Wrong-way risk occurs when an increase in a bank's exposure to a
counterparty (e.g., because of a market move) is accompanied by a deterioration in the
counterparty's creditworthiness. This negative correlation exacerbates the risk. Option
A is a generic definition. Option C is model risk, and D is legal risk.
Question 6: Which of the following is a characteristic of a coherent risk
measure?
A. It must be sub-additive, meaning the risk of a portfolio is always greater than or equal
to the sum of the individual risks.
B. It must be monotonic, implying a portfolio with higher payoffs has lower risk.
C. It must be positive homogeneous, meaning scaling the portfolio by a factor scales the
risk by a different factor.
D. It must be translation invariant, meaning adding cash to a portfolio increases its risk.
CORRECT ANSWER: B. It must be monotonic, implying a portfolio with higher
payoffs has lower risk.
Rationale: Coherent risk measures satisfy four axioms: monotonicity, translation
invariance, positive homogeneity, and sub-additivity. Monotonicity means that if
portfolio A always has greater payoffs than portfolio B, the risk of A should be less than
or equal to the risk of B. Option A is incorrect because sub-additivity states the risk of a
portfolio is less than or equal to the sum of individual risks (diversification). Option C is
wrong as scaling is a linear factor. Option D is incorrect as translation invariance
requires adding cash to reduce risk.
Question 7: What is the primary difference between the Expected Shortfall
(ES) and Value at Risk (VaR) as risk measures?
A. VaR is a coherent risk measure, while ES is not.
B. VaR measures the expected loss on the worst days, while ES measures the maximum
possible loss.
C. ES provides an estimate of the expected loss in the tail beyond the VaR threshold,
while VaR indicates a loss threshold that is not exceeded with a given confidence level.
D. ES is more computationally intensive only for elliptical distributions, while VaR is
simpler.
CORRECT ANSWER: C. ES provides an estimate of the expected loss in the tail
beyond the VaR threshold, while VaR indicates a loss threshold that is not
exceeded with a given confidence level.
Rationale: VaR is a threshold value: the maximum loss over a target horizon at a given
confidence level. ES is the expected value of the losses that exceed the VaR threshold,
providing a sense of the tail severity. Option A is incorrect; ES is coherent while VaR is
, not. Option B is incorrect as VaR is a threshold, not an expected loss, and ES is not a
maximum possible loss. Option D is misleading.
Question 8: In the context of securitization, what is a "Special Purpose
Vehicle" (SPV) primarily used for?
A. To manage the ongoing operational risk of the underlying loan portfolio.
B. To facilitate a bankruptcy-remote transfer of assets from the originator to the
investors.
C. To hedge the interest rate risk of the underlying mortgages.
D. To underwrite new loans for the originating bank.
CORRECT ANSWER: B. To facilitate a bankruptcy-remote transfer of assets
from the originator to the investors.
Rationale: An SPV is a legal entity created to isolate assets from the originator's balance
sheet, thereby protecting investors from the originator's bankruptcy risk. The assets are
sold to the SPV, which then issues securities. Option A is incorrect because the SPV
does not typically manage operational risk. Options C and D are not the primary
functions of an SPV.
Question 9: Which of the following is a key assumption of the Capital Asset
Pricing Model (CAPM)?
A. Investors can borrow and lend at different risk-free rates.
B. Asset returns are normally distributed and markets are perfectly liquid.
C. Investors have homogeneous expectations regarding asset returns, variances, and
covariances.
D. There are taxes and transaction costs that must be considered.
CORRECT ANSWER: C. Investors have homogeneous expectations regarding
asset returns, variances, and covariances.
Rationale: CAPM assumes that all investors have the same expectations (homogeneous
expectations) about future asset returns and risks. It also assumes borrowing and
lending at the same risk-free rate (A), no taxes or transaction costs (D), and often
assumes normality for returns (B) but the core model relies on these expectations.
Option C is a cornerstone assumption.
Question 10: A risk manager is evaluating a bond with a modified duration of
7.5. If the yield to maturity increases by 50 basis points (0.50%), what is the
approximate percentage price change of the bond using duration alone?
A. -3.75%
B. -2.50%
