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

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Showing 1–3 of 10 questions

Question 1

Let X be a random variable normally distributed with zero mean and let . Then the correlation between X and Y is:

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  • negative

  • zero

  • not defined

  • positive

Question 2

Consider a binomial lattice where a security price S moves up by a factor u with probability p, or down by a factor d with probability 1 - p. If we set d > 1/u then which of the following will be TRUE?

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  • The lattice will not recombine

  • The probability of an up move will not be constant

  • There will always be a downward drift in the lattice

  • None of the above

Question 3

What is the total derivative of the function f(x,y) = ln(x+y), where ln() denotes the natural logarithmic function?

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  • 1 / (x+y)

  • (∆x + ∆y) / (x+y)

  • -∆x/(x+y) - ∆y/(x+y)

  • ln(x+y) ∆x + ln(x+y) ∆y