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  4. 8002 - PRM Certification - Exam II: Mathematical Foundations of Risk Measurement

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

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Question # 17

You are to perform a simple linear regression using the dependent variable Y and the independent variable X (Y = a + bX). Suppose that cov(X,Y)=10, var(X)= 5, and that the mean of X is 1 and the mean of Y is 2. What are the values for the regression parameters a and b?

A.

b=0.5, a=2.5

B.

b=0.5, a=1.5

C.

b=2, a=4

D.

b=2, a=0

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Question # 18

Newton-Raphson iteration is used to find a solution of x5 - x3 + x = 1. If xn = 2, what is xn+1?

A.

2.362

B.

1.623

C.

1.638

D.

0.377

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Question # 19

A quadratic form is

A.

defined as a positive definite Hessian matrix.

B.

an algebraic expression in two variables, x and y,involving , and terms.

C.

a specific solution of the Black-Scholes pricing formula

D.

an algebraic expression in two variables, x and y, involving , , and terms.

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