PRM Certification - Exam II: Mathematical Foundations of Risk Measurement
Last Update 5 days ago
Total Questions : 132
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Let a, b and c be real numbers. Which of the following statements is true?
Which of the following properties is exhibited by multiplication, but not by addition?
I have a portfolio of two stocks. The weights are equal. The one volatility is 30% while the other is 40%. The minimum and maximum possible values of the volatility of my portfolio are:
The quarterly compounded rate of return is 6% per annum. What is the corresponding effective annual return?
Which of the following is not a direct cause of autocorrelation or heteroskedasticity in the residuals of a regression model?
The gradient of a function f(x, y, z) = x + y2 - x y z at the point x = y = z = 1 is
A 2-year bond has a yield of 5% and an annual coupon of 5%. What is the Modified Duration of the bond?
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 linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates. What is the value of the test statistic for the hypothesis that the coefficient of is zero against the alternative that is less than zero?
What is the total derivative of the function f(x,y) = ln(x+y), where ln() denotes the natural logarithmic function?
Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses…
An operational risk analyst models the occurrence of computer failures as a Poisson process with an arrival rate of 2 events per year. According to this model, what is the probability of zero failures in one year?
Consider two functions f(x) and g(x) with indefinite integrals F(x) and G(x), respectively. The indefinite integral of the product f(x)g(x) is given by
What is the angle between the following two three dimensional vectors: a=(1,2,3), b=(-4,2,0)?
A typical leptokurtotic distribution can be described as a distribution that is relative to a normal distribution
TESTED 19 May 2024
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