PRMIA 8007 pass test : Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition

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PRMIA 8007 Exam Syllabus Topics:

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

1. Which of the following is a false statement concerning the probability density function and the cumulative distribution function of a random variable?

A) the PDF is non-negative.
B) the definite integral of the CDF from minus infinity to plus infinity is undefined.
C) the definite integral of the PDF from minus infinity to plus infinity is zero.
D) the CDF approaches 1 as its argument approaches infinity.

2. I have a portfolio of two stocks. The weights are equal. The one volatility is 30% while the other is 40%. The minimum and maximum possible values of the volatility of my portfolio are:

A) 10% and 40%
B) 5% and 35%
C) 10% and 70%
D) 30% and 40%

3. Let A be a square matrix and denote its determinant by x. Then the determinant of A transposed is:

A) ln(x)
B) x -1
C) -x
D) x

4. An option has value 10 when the underlying price is 99 and value 9.5 when the underlying price is 101.
Approximate the value of the option delta using a first order central finite difference.

A) -4
B) 0.25
C) -0.5
D) -0.25

5. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
Which of the following is an approximate 95% confidence interval for the true value of the coefficient of ?

A) [0, 1.5]
B) [1, 2]
C) None of the above
D) [0, 3]

Solutions: