Financial Risk Management Financial Risk Management MCQ 4 — Questions and Answers
Question 1: A firm enters a 5-year interest rate swap, paying fixed and receiving floating. If interest rates rise unexpectedly, the firm's position will:
- Gain value because floating receipts increase (Correct answer)
- Lose value because fixed payments become relatively cheaper
- Be unaffected because swaps are marked to zero at inception
- Gain value because the fixed rate paid rises
Correct answer: Gain value because floating receipts increase
A pay-fixed, receive-floating swap benefits from rising rates because the floating leg increases in value while the fixed payments remain constant.
Question 2: Which of the following best defines 'concentration risk' in a loan portfolio?
- Risk arising from a single counterparty or sector representing a disproportionately large share of exposures (Correct answer)
- Risk that all loans in the portfolio have the same maturity
- Risk that loan spreads compress due to competitive pricing
- Risk of regulatory capital requirements increasing
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 3: 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)
- Interest rates, credit spreads, volatility, time value, dividends
- Volatility, correlation, skew, term structure, liquidity
- Underlying price, interest rates, implied volatility, dividends, time decay
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 4: In the Merton structural credit model, default occurs when:
- The company's credit rating drops below investment grade
- The market value of assets falls below the face value of debt at maturity (Correct answer)
- The company misses a coupon payment
- The company's stock price falls by more than 50%
Correct answer: The market value of assets falls below the face value of debt at maturity
The Merton model treats equity as a call option on firm assets; default is triggered when the asset value at debt maturity is less than the debt's face value.
Question 5: A portfolio has a correlation of 1.0 between all assets. What is the diversification benefit?
- Maximum diversification benefit
- No diversification benefit (Correct answer)
- Partial diversification benefit
- Negative diversification (diversification penalty)
Correct answer: No diversification benefit
When correlations are perfectly positive (1.0), all assets move identically, so combining them provides no reduction in risk relative to holding any single asset.
Question 6: Which of the following is the correct formula for Credit VaR?
- Credit VaR = Expected Loss − Unexpected Loss
- Credit VaR = Unexpected Loss at a given confidence level (Correct answer)
- Credit VaR = PD × LGD × EAD
- Credit VaR = Total Loss − Recovery Amount
Correct answer: Credit VaR = Unexpected Loss at a given confidence level
Credit VaR measures the unexpected loss at a given confidence level, defined as the difference between the worst-case loss (at that confidence) and the expected loss.
Question 7: Under the Value at Risk framework, increasing the confidence level from 95% to 99% while holding the time horizon constant will:
- Decrease the VaR estimate
- Leave the VaR estimate unchanged
- Increase the VaR estimate (Correct answer)
- 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.
A firm enters a 5-year interest rate swap, paying fixed and receiving floating.
If interest rates rise unexpectedly, the firm's position will: