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Total 132 questions

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

Question 9

I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 100%. The volatility of my portfolio is

Options:

A.

4%

B.

14.4%

C.

20%

D.

24%

Question 10

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?

Options:

A.

0.125

B.

2.5

C.

-1.25

D.

-2.5

Question 11

Let N(.) denote the cumulative distribution function of the standard normal probability distribution, and N' its derivative. Which of the following is false?

Options:

A.

N(0) = 0.5

B.

N'(0) ≥ 0

C.

N(x) → 0 as x → ∞

D.

N'(x) → 0 as x → ∞

Question 12

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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Total 132 questions