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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. The CDS rate on a defaultable bond is approximated by which of the following expressions:

A) Hazard rate x Recovery rate
B) Loss given default x Default hazard rate
C) Credit spread x Loss given default
D) Hazard rate / (1 - Recovery rate)

2. Which of the following is the most important problem to solve for fitting a severity distribution for operational risk capital:

A) Determine plausible scenarios to fill the data gaps in the internal and external loss data
B) The fit obtained should reduce the combination of the fitting and approximation errors to a minimum
C) Empirical loss data needs to be extended to the ranges below the reporting threshold and above large value losses
D) The risk functional's minimization should lead to a good estimate of the 0.999 quantile

3. Which of the following statements is true:
I. When averaging quantiles of two Pareto distributions, the quantiles of the averaged models are equal to the geometric average of the quantiles of the original models based upon the number of data items in each original model.
II. When modeling severity distributions, we can only use distributions which have fewer parameters than the number of datapoints we are modeling from.
III. If an internal loss data based model covers the same risks as a scenario based model, they can can be combined using the weighted average of their parameters.
IV If an internal loss model and a scenario based model address different risks, the models can be combined by taking their sums.

A) I and II
B) All statements are true
C) III and IV
D) II and III

4. A zero coupon corporate bond maturing in an year has a probability of default of 5% and yields 12%. The recovery rate is zero. What is the risk free rate?

A) 6.40%
B) 5.00%
C) 5.26%
D) 7.00%

5. If the odds of default are 1:5, what is the probability of default?

A) 20.00%
B) 12.00%
C) 50.00%
D) 16.67%

Solutions: