Sampling and selection

Daniel Broby

INTRODUCTION

“There are two ways to construct an index. You can build it from the top down, working from the proverbial Ivory Tower to craft an index that fits a preconceived notion of how the equity markets should work. Or you can build it from the bottom up, studying investment managers to determine how the equity markets and investors actually do work.”

—Kelly Haughton, CEO of Global Index Group

This chapter explains how index constructors select the index constituents and their weights. At its core, the process of index construction closely resembles the principles of sampling, drawing parallels with the methodology of portfolio creation. Sampling is used in place of full market capitalisation replication, which would involve including all the securities in the marketplace in the same proportion as their weight, something that is clearly impractical in all but the smallest market universes.

The act of sampling is therefore focused on specific strata within the market. In the context of stock selection in index construction, various sampling methods offer different advantages and considerations. The choice of approach depends on factors like the index’s objectives, risk profile and

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