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

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Question # 4

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

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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Question # 5

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.

0

B.

3

C.

2

D.

1

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Question # 6

Bond convexity is closely related to …

A.

The derivative of the bond's present value with respect to yield

B.

The second derivative of the bond's present value with respect to yield

C.

The integral of the bond's present value with respect to yield

D.

The sensitivity of the bond's present value with respect to yield

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Question # 7

What is the simplest form of this expression: log2(165/2)

A.

10

B.

32

C.

5/2 + log2(16)

D.

log2 (5/2) + log2(16)

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Question # 8

Which of the following properties is exhibited by multiplication, but not by addition?

A.

associativity

B.

commutativity

C.

distributivity

D.

invertibility

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