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PRMIA PRM Certification - Exam III: Risk Management Frameworks, Operational Risk, Credit Risk, Counterparty Risk, Market Risk, ALM, FTP - 2015 Edition Sample Questions:

1. A Bank Holding Company (BHC) is invested in an investment bank and a retail bank. The BHC defaults for certain if either the investment bank or the retail bank defaults. However, the BHC can also default on its own without either the investment bank or the retail bank defaulting. The investment bank and the retail bank's defaults are independent of each other, with a probability of default of 0.05 each. The BHC's probability of default is 0.11.
What is the probability of default of both the BHC and the investment bank? What is the probability of the BHC's default provided both the investment bank and the retail bank survive?

A) 0.0475 and 0.10
B) 0.05 and 0.0125
C) 0.11 and 0
D) 0.08 and 0.0475

2. If the systematic VaR for an equity portfolio is $100 and the specific VaR is $80, then which of the following is true in relation to the total VaR:

A) Total VaR is $20
B) Total VaR is greater than $180
C) Total VaR is $180
D) Total VaR is less than $180

3. Which of the following statements is true in relation to a normal mixture distribution:
I. Normal mixtures represent one possible solution to the problem of volatility clustering II. A normal mixture VaR will always be greater than that under the assumption of normally distributed returns III. Normal mixtures can be applied to situations where a number of different market scenarios with different probabilities can be expected

A) I and II
B) II and III
C) III
D) I, II and III

4. The Altman credit risk score considers:

A) A quadratic approximation of the credit risk based on underlying risk factors
B) A historical database of the firms that have survived
C) A combination of accounting measures and market values
D) A historical database of the firms that have defaulted

5. If the marginal probabilities of default for a corporate bond for years 1, 2 and 3 are 2%, 3% and 4% respectively, what is the cumulative probability of default at the end of year 3?

A) 9.58%
B) 8.74%
C) 9.00%
D) 91.26%

Solutions: