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

1. 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) 1
C) 2
D) 0

2. Which of the following statements is true for symmetric positive definite matrices?

A) Its eigenvalues are all positive
B) If a is its eigenvalue, then is also its eigenvalue
C) One of its eigenvalues equals 0
D) If a is its eigenvalue, then -a is also its eigenvalue

3. Calculate the determinant of the following matrix:

A) 4.25
B) -4.25
C) 2
D) 4

4. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
What is the value of the test statistic for the hypothesis that the coefficient of is less than 1?

A) 0.32
B) 0.96
C) 1.92
D) 0.64

5. You invest $2m in a bank savings account with a constant interest rate of 5% p.a. What is the value of the investment in 2 years time if interest is compounded quarterly?

A) $2,210,342
B) $2.205,000
C) None of them
D) $2,208,972

Solutions: