Question 1

Once the frequency and severity distributions for loss events have been determined, which of the following is an accurate description of the process to determine a full loss distribution for operational risk?

Options :

A : A firm wide operational risk distribution is generated by adding together the frequency and severity distributions

B : A firm wide operational risk distribution is generated using Monte Carlo simulations

C : A firm wide operational risk distribution is set to be equal to the product of the frequency and severity distributions

D : The frequency distribution alone forms the basis for the loss distribution for operational risk

Answer: B

Question 2

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

Options :

A : I and IV

B : II and III

C : I, II and III

D : I, II and IV

Answer: C

Question 3

Which of the following statements are true:

I.Top down approaches help focus management attention on the frequency and severity of loss events, while

bottom up approaches do not.

II. Top down approaches rely upon high level data while bottom up approaches need firm specific risk data to

estimate risk.

III. Scenario analysis can help capture both qualitative and quantitative dimensions of operational risk.

Options :

A : III only

B : II and III

C : I only

D : II only

Answer: B

Question 4

The VaR of a portfolio at the 99% confidence level is $250,000 when mean return is assumed to be zero. If the assumption of zero returns is changed to an assumption of returns of $10,000, what is the revised VaR?

Options :

A : 260000

B : 240000

C : 273260

D : 226740

Answer: B

Question 5

For a hypotherical UoM, the number of losses in two non-overlapping datasets is 24 and 32 respectively. The Pareto tail parameters for the two datasets calculated using the maximum likelihood estimation method are 2 and 3. What is an estimate of the tail parameter of the combined dataset?

Options :

A : 2.57

B : 2.23

C : 3

D : Cannot be determined

Answer: A

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