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

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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. What is the angle between the following two three dimensional vectors: a=(1,2,3), b=(-4,2,0)?

A) 45 degrees
B) 180 degrees
C) 90 degrees
D) 57 degrees

3. The Lagrangian of a constrained optimisation problem is given by L(x,y,) = 16x+8x2+4y-(4x+y-20), where is the Lagrange multiplier. What is the solution for x and y?

A) x = -1, y = 0
B) None of the above
C) x = 5, y = 0
D) x = 0, y = 20

4. If a time series has to be differenced twice in order to be transformed into a stationary series, the original series is said to be:

A) non-linear
B) non-functional
C) differential
D) integrated of order 2

5. Which of the following is consistent with the definition of a Type I error?

A) A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of positive correlation was rejected
B) The probability of a Type I error is 100% minus the significance level
C) A Type I occurs whenever data series are serially correlated
D) A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of no correlation was rejected

Solutions: