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

8007

Exam Code: 8007

Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition

Updated: Jun 07, 2026

Q & A: 133 Questions and Answers

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

1. A 95% confidence interval for a parameter estimate can be interpreted as follows:

A) The probability that the real value of the parameter is outside this interval is 95%.
B) The probability that the estimated value of the parameter is within this interval is 95%.
C) The probability that the estimated value of the parameter is outside this interval is 95%.
D) The probability that the real value of the parameter is within this interval is 95%.


2. There are two portfolios with no overlapping of stocks or bonds. Portfolio 1 has 6 stocks and 6 bonds.
Portfolio 2 has 4 stocks and 8 bonds. If we randomly select one stock, what is the probability that it came from Portfolio1?

A) 0.3
B) 0.5
C) 0.6
D) None of these


3. Kurtosis(X) is defined as the fourth centred moment of X, divided by the square of the variance of X.
Assuming X is a normally distributed variable, what is Kurtosis(X)?

A) 1
B) 2
C) 0
D) 3


4. Which of the following statements are true about Maximum Likelihood Estimation?
(i) MLE can be applied even if the error terms are not i.i.d. normal.
(ii) MLE involves integrating a likelihood function or a log-likelihood function.
(iii) MLE yields parameter estimates that are consistent.

A) (i) and (iii)
B) (i) only
C) (i) and (ii)
D) (i), (ii), and (iii)


5. On average, one trade fails every 10 days. What is the probability that no trade will fail tomorrow?

A) 0.95
B) 0.095
C) 0.905
D) 0.100


Solutions:

Question # 1
Answer: D
Question # 2
Answer: C
Question # 3
Answer: D
Question # 4
Answer: A
Question # 5
Answer: C

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