Pension plan sponsors place a great deal of emphasis on “universe” rankings when evaluating money managers. In fact, it appears that sponsors assume implicitly that managers who rank in the top quartile of a representative sample of peer managers are more likely to generate superior relative performance in the future than are managers who rank in the bottom quartile. We can test the validity of this assumption by simple (bivariate) linear regression.
We regress percentile rankings of managers in one period on these managers’ percentile rankings from the prior period. a. Let us start by assuming that the implicit assumption of plan sponsors is true to the extent that there is perfect correlation in percentile rankings from one period to the next. Given this assumption, list the numerical values you would expect to observe for the intercept, slope, and coefficient of determination of the regression. b. Now, let us assume that the implicit assumption of plan sponsors is false and that there is no correlation in percentile rankings from period to period. Given this assumption, list the numerical values you would expect to observe for the intercept, slope, and coefficient of determination of the regression. c. Upon performing such a regression, you observe an intercept of 0.51, a slope of -0.05, and a coefficient of determination of 0.01. Based on this regression, state your best estimate of a manager’s percentile ranking next period if his/her percentile this period was 0.15.
Get Statistics homework help today
Why Choose Us
Professional Academic Writers
Customer Support 24/7
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
Our Homework Writing Services
Admission and Business Papers
Editing and Proofreading