8002 Practice Exam Questions and Answers

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?

The gradient of a smooth function is

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?