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

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

1. 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) 30% and 40%
D) 10% and 70%

2. The fundamental theorem of analysis establishes a relation between

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

3. Maximum likelihood estimation is a method for:

A) Finding parameter estimates of a given density function
B) Estimating the solution of a partial differential equation
C) Solving a portfolio optimization problem
D) Estimating the implied volatility of a simple European option

4. If A and B are two events with P(A) = 1/4, P(B) = 1/3 and P(A intersection B) =1/5, what is P(Bc | Ac) i.e. the probability of the complement of B when the complement of A is given?

A) 37/45
B) None of these
C) 3/4
D) 12/29

5. 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

Solutions: