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PRMIA 8007 Dumps

Exam Code:
8007
Exam Name:
Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
Last Update: Sep 30, 2024
132 Questions
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Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Questions and Answers

Questions 1

For each of the following functions, indicate whether its graph is concave or convex:

Y = 7x2 + 3x + 9

Y = 6 ln(3x)

Y = exp(-4x)

Options:

A.

concave, concave, concave

B.

concave, convex, convex

C.

convex, concave, concave

D.

convex, convex, concave

Questions 2

You are given the following values of a quadratic function f(x): f(0)=0, f(1)=-2, f(2)=-5. On the basis of these data, the derivative f'(0) is …

Options:

A.

in the interval ]-2.5,-2[

B.

equal to -2

C.

in the interval ]-2,+∞[

D.

in the interval ]-∞,-2.5]

Questions 3

In a portfolio there are 7 bonds: 2 AAA Corporate bonds, 2 AAA Agency bonds, 1 AA Corporate and 2 AA Agency bonds. By an unexplained characteristic the probability of any specific AAA bond outperforming the others is twice the probability of any specific AA bond outperforming the others. What is the probability that an AA bond or a Corporate bond outperforms all of the others?

Options:

A.

5/7

B.

8/11

C.

6/11

D.

None of these

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