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1. Which of the following is a valid approach to determining the magnitude of a shock for a given risk factor as part of a historical stress testing exercise?
I. Determine the maximum peak-to-trough change in the risk factor over the defined period of the historical event II. Determine the minimum peak-to-trough change in the risk factor over the defined period of the historical event III. Determine the total change in the risk factor between the start date and the finish date of the event regardless of peaks and troughs in between IV. Determine the maximum single day change in the risk factor and multiply by the number of days covered by the stress event
A) II and IV
B) I, II and IV
C) IV only
D) I and III
2. For a corporate bond, which of the following statements is true:
I. The credit spread is equal to the default rate times the recovery rate II. The spread widens when the ratings of the corporate experience an upgrade III. Both recovery rates and probabilities of default are related to the business cycle and move in opposite directions to each other IV. Corporate bond spreads are affected by both the risk of default and the liquidity of the particular issue
A) I, II and IV
B) III only
C) III and IV
D) IV only
3. A bank extends a loan of $1m to a home buyer to buy a house currently worth $1.5m, with the house serving as the collateral. The volatility of returns (assumed normally distributed) on house prices in that neighborhood is assessed at 10% annually. The expected probability of default of the home buyer is 5%.
What is the probability that the bank will recover less than the principal advanced on this loan; assuming the probability of the home buyer's default is independent of the value of the house?
A) Less than 1%
B) More than 1%
C) 0
D) More than 5%
4. A portfolio has two loans, A and B, each worth $1m. The probability of default of loan A is 10% and that of loan B is 15%. The probability of both loans defaulting together is 1%. Calculate the expected loss on the portfolio.
A) 250000
B) 1000000
C) 500000
D) 240000
5. Which of the following is true in relation to the application of Extreme Value Theory when applied to operational risk measurement?
I. EVT focuses on extreme losses that are generally not covered by standard distribution assumptions II. EVT considers the distribution of losses in the tails III. The Peaks-over-thresholds (POT) and the generalized Pareto distributions are used to model extreme value distributions IV. EVT is concerned with average losses beyond a given level of confidence
A) I and IV
B) II and III
C) I, II and III
D) I, II and IV
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: C | Question # 3 Answer: A | Question # 4 Answer: A | Question # 5 Answer: C |
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