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8007 Exam Dumps - PRMIA PRM Certification Questions and Answers

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Questions 4

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

Options:

A.

1 / (x+y)

B.

(∆x + ∆y) / (x+y)

C.

-∆x/(x+y) - ∆y/(x+y)

D.

ln(x+y) ∆x + ln(x+y) ∆y

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Questions 5

Which of the following can induce a 'multicollinearity' problem in a regression model?

Options:

A.

A large negative correlation between the dependent variable and one of the explanatory variables

B.

A high positive correlation between the dependent variable and one of the explanatory variables

C.

A high positive correlation between two explanatory variables

D.

The omission of a relevant explanatory variable

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Questions 6

The gradient of a function f(x, y, z) = x + y2 - x y z at the point x = y = z = 1 is

Options:

A.

(0, 2, 1)

B.

(0, 0, 0)

C.

(1, 1, 1)

D.

(0, 1, -1)

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Questions 7

Consider two securities X and Y with the following 5 annual returns:

X: +10%, +3%, -2%, +3%, +5%

Y: +7%, -2%, +3%, -5%, +10%

In this case the sample covariance between the two time series can be calculated as:

Options:

A.

0.40729

B.

0.00109

C.

0.00087

D.

0.32583

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Exam Code: 8007
Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
Last Update: May 14, 2024
Questions: 132
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