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University of Saskatchewan

Portfolio diversification for long holding periods: how many stocks do Canadian investors need?

Abstract

dc:description.abstract

The number of stocks required to achieve diversification has been under discussion for over four decades. Traditionally, it is viewed that between 8 to 20 stocks are adequate for a 'well' diversified portfolio based on American studies, and 30 to 50 stocks based on a Canadian study. The majority of the past literature has used American data with a focus on the short-term investment horizon. Cleary and Copp's (1999) paper is the only study that utilized Canadian data with an emphasis on the short-term investment horizon. To fill this void, this thesis examines the cumulative rates of return over a 20-year investment horizon by randomly investing $100,000 initially across 100 Canadian firms. The results of the simulation illustrate the probability distributions of the shortfall risks for individuals who own fewer than 100 stocks. To see if diversifying across industry groups reduces the shortfall risk faced by investors, a similar simulation is completed for investing randomly across Canada's four prime industry groups. The empirical results of this thesis suggest that the standard recommendation of 8 to 20 is inadequate for a long-term Canadian investor. More than 80 Canadian companies are required to obtain a shortfall risk amount of less than 5% ($57,929) of the 100-stock portfolio when investing randomly in Canadian companies. Note:Pages 35, 36, 39, and 40 contain numbers that have been cut off in the original thesis. This problem is not attributed to digitization of the document.

Degree

thesis:*
Name thesis:degree_name
Master of Science (M.Sc.)
Level thesis:degree_level
Masters
Discipline thesis:degree_discipline
Finance and Management Science
Grantor
University of Saskatchewan
Year dc:date.issued
2002

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Tse, Daisy S.L.
Advisors dc:contributor.advisor
  • Domian, Dale
  • Racine, Marie
Committee members dc:contributor.committeemember
  • Matthew, Prem
  • Patil, Ashok

Rights

Language dc:language.iso
en_US

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:harvest.usask.ca:10388/etd-08242012-110740

Chain of custody

source
Harvested from
University of Saskatchewan
Base URL
harvest.usask.ca/server/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Tse, Daisy S.L.. Portfolio diversification for long holding periods: how many stocks do Canadian investors need?. Masters thesis, University of Saskatchewan, 2002. https://hdl.handle.net/10388/etd-08242012-110740