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PRMIA 8007 Exam Syllabus Topics:

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

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

2. In a multiple linear regression, the significance of R2 can be tested using which distribution?

A) Normal distribution
B) Student's t distribution
C) F-distribution
D) Binomial distribution

3. The first derivative of a function f(x) is zero at some point, the second derivative is also zero at this point. This means that:

A) f has necessarily a minimum at this point
B) f might have either a minimum or a maximum or neither of them at this point
C) f has necessarily a maximum at this point
D) f has necessarily neither a minimum nor a maximum at this point

4. Evaluate the derivative of ln(1+ x2) at the point x = 1

A) 2
B) 0.5
C) 0
D) 1

5. Suppose 60% of capital is invested in asset 1, with volatility 40% and the rest is invested in asset 2, with volatility 30%. If the two asset returns have a correlation of -0.5, what is the volatility of the portfolio?

A) 36%
B) 26.33%
C) 20.78%
D) 36.33%

Solutions: