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8002 Exam Dumps : PRM Certification - Exam II: Mathematical Foundations of Risk Measurement

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PRM Certification - Exam II: Mathematical Foundations of Risk Measurement Questions and Answers

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Question 1

Let f(x) = c for x in [0,4] and 0 for other values of x.

What is the value of the constant c that makes f(x) a probability density function; and what if f(x) = cx for x in [0,4]?

Options:

A.

1/4 and 1/7

B.

1/7 and 1/9

C.

1/4 and 1/6

D.

None of the above

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Question 2

Which of the following is not a direct cause of autocorrelation or heteroskedasticity in the residuals of a regression model?

Options:

A.

A structural break in the dependent variable

B.

A high positive correlation between two explanatory variables

C.

The omission of a relevant explanatory variable

D.

Using an inappropriate functional form in the model

Question 3

Which of the following statements about variance and standard deviation are correct?

1. When calculated based on a sample of the population data, one has to correct for any bias in the result by using the number of degrees of freedom in the calculation

2. Variance is in square root units of the underlying data, whereas standard deviation is in units of the underlying data

3. When considering independent variables, variance is additive, while standard deviation is not

Options:

A.

All three statements are correct

B.

Statements 1 and 2 are correct

C.

Statements 1 and 3 are correct

D.

Statements 2 and 3 are correct

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