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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

Suppose that f(x) and g(x,y) are functions. What is the partial derivative of f(g(x,y)) with respect to y?

Options:

A.

f'(g(x,y))

B.

f(dg/dy)

C.

f(g(x,y)) dg/dy

D.

f'(g(x,y)) dg/dy

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Question 2

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)?

Options:

A.

0

B.

3

C.

2

D.

1

Question 3

Which of the following statements is true for symmetric positive definite matrices?

Options:

A.

Its eigenvalues are all positive

B.

One of its eigenvalues equals 0

C.

If a is its eigenvalue, then -a is also its eigenvalue

D.

If a is its eigenvalue, then is also its eigenvalue

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