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PRMIA 8007 Exam Syllabus Topics:

SectionObjectives
Risk Measurement Applications- Quantitative Risk Analysis
  • 1. Volatility Modeling
  • 2. Portfolio Risk Measurement
  • 3. Sensitivity Analysis
  • 4. Value at Risk Methodologies
Regression and Time Series Analysis- Modeling Techniques
  • 1. Time Series Forecasting
  • 2. Multivariate Regression
  • 3. Linear Regression
  • 4. Model Diagnostics
Statistical Analysis- Descriptive and Inferential Statistics
  • 1. Maximum Likelihood Estimation
  • 2. Hypothesis Testing
  • 3. Confidence Intervals
  • 4. Moments and Distributions
Linear Algebra- Matrix Methods
  • 1. Matrix Operations
  • 2. Positive Definiteness
  • 3. Eigenvalues and Eigenvectors
  • 4. Covariance Matrices
Numerical Methods- Quantitative Techniques
  • 1. Simulation Techniques
  • 2. Monte Carlo Methods
  • 3. Optimization Methods
  • 4. Numerical Approximation
Calculus- Differential and Integral Calculus
  • 1. Functions and Limits
  • 2. Integration
  • 3. Multivariable Calculus
  • 4. Differentiation
Probability Theory- Fundamental Probability Concepts
  • 1. Random Variables
  • 2. Probability Rules
  • 3. Bayes' Theorem
  • 4. Conditional Probability

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

Question #1

Solve the simultaneous linear equations: x + 2y - 2 = 0 and y - 3x = 8

  • A. x = 1, y = 0.5
  • B. None of the above
  • C. x = -2, y = 2
  • D. x = 2, y = 0
Reveal Solution  Discussion  0

Correct Answer: C  🗳️

Question #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 less than 1?

  • A. 1.92
  • B. 0.64
  • C. 0.32
  • D. 0.96
Reveal Solution  Discussion  0

Correct Answer: B  🗳️

Question #3

Which of the following statements concerning class intervals used for grouping of data is correct?
When grouping data, attention must be paid to the following with regards to class intervals:
1. Class intervals should not overlap
2. Class intervals should be of equal size unless there is a specific need to highlight data within a specific subgroup
3. The class intervals should be large enough so that they not obscure interesting variation within the group

  • A. All three statements are correct
  • B. Statements 1 and 3 are correct
  • C. Statements 1 and 2 are correct
  • D. Statements 2 and 3 are correct
Reveal Solution  Discussion  0

Correct Answer: C  🗳️

Question #4

A 2-year bond has a yield of 5% and an annual coupon of 5%. What is the Macaulay Duration of the bond?

  • A. 1.86
  • B. 1.95
  • C. 1.75
  • D. 2
Reveal Solution  Discussion  0

Correct Answer: B  🗳️

Question #5

When a number is written with a fraction as an exponent, such as , which of the following is the correct computation?

  • A. Square 75, then take the fifth root of it
  • B. Take the square-root of 75 and raise it to the 5th power
  • C. Divide 75 by 2, then raise it to the 5th power
  • D. Multiply 75 by 2.5
Reveal Solution  Discussion  0

Correct Answer: B  🗳️

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