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PRMIA 8007 Exam Syllabus Topics:

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

1. In statistical hypothesis tests, 'Type I error' refers to the situation in which...

A) The null hypothesis is accepted when in fact it should have been rejected
B) Both null hypothesis and alternative hypothesis are rejected
C) The null hypothesis is rejected when in fact it should have been accepted
D) Both null hypothesis and alternative hypothesis are accepted

2. 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 zero against the alternative that is less than zero?

A) -1.25
B) 0.125
C) -2.5
D) 2.5

3. Consider an investment fund with the following annual return rates over 8 years: +6%, -6%, +12%, -12%,
+3%, -3%, +9%, -9% .
What can you say about the annual geometric and arithmetic mean returns of this investment fund?

A) The arithmetic mean return is zero and the geometric mean return is negative
B) The arithmetic mean return is equal to the geometric mean return
C) The arithmetic mean return is negative and the geometric mean return is zero
D) None of the above

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

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

5. The determinant of a matrix X is equal 2. Which of the following statements is true?

A) det(2X) =
B) det(2X) = 4 det(X)
C) det(2X) = 2 det(X)
D) det(2X) = det(X)2

Solutions: