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PRMIA 8007 Exam Syllabus Topics:

PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:

Question 1

Which of the following statements concerning class intervals used for grouping of data is correct?
When grouping data, attention must be paid to the following with regards to class intervals:
1. Class intervals should not overlap
2. Class intervals should be of equal size unless there is a specific need to highlight data within a specific subgroup
3. The class intervals should be large enough so that they not obscure interesting variation within the group

A. Statements 1 and 3 are correct
B. Statements 2 and 3 are correct
C. Statements 1 and 2 are correct
D. All three statements are correct

Question 2

Consider the following distribution data for a random variable X: What is the mean and variance of X?

A. 3.4 and 3.84
B. None of these
C. 3.6 and 7.15
D. 3.5 and 3.45

Question 3

Kurtosis(X) is defined as the fourth centred moment of X, divided by the square of the variance of X.
Assuming X is a normally distributed variable, what is Kurtosis(X)?

A. 3
B. 0
C. 1
D. 2

Question 4

Which of the following statements about skewness of an empirical probability distribution are correct?
1. When sampling returns from a time series of asset prices, discretely compounded returns exhibit higher skewness than continuously compounded returns
2. When the mean is significantly less than the median, this is an indication of negative skewness
3. Skewness is a sign of asymmetry in the dispersion of the data

A. Statements 1 and 3 are correct
B. Statements 2 and 3 are correct
C. Statements 1 and 2 are correct
D. All three statements are correct

Question 5

The fundamental theorem of analysis establishes a relation between

A. First and second derivative of a function
B. Integration and differentiation of functions
C. The derivative of a function and the derivative of its inverse function
D. The derivative of a function and the slope of its graph

Solutions: