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10 - The Mathematics of Portfolio Diversification

Published online by Cambridge University Press:  05 June 2012

Narat Charupat
Affiliation:
York University, Toronto
Huaxiong Huang
Affiliation:
York University, Toronto
Moshe A. Milevsky
Affiliation:
York University, Toronto
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Summary

Learning Objectives

In this chapter, you will formally learn the concept of diversification. In the process, you will become mindful of investment-performance claims and the roles of chance in obtaining above-average returns. You will also learn how you can construct an investment portfolio that is optimal for you given your risk preference and risk/return trade-off.

Impressive Investment Performance: Real or Fake

In the mid-1980s, a clever investment broker at a large American brokerage firm (in its Baltimore, Maryland branch) devised the following strategy in publishing his newsletters. He obtained a list of 2,000 high-net-worth individuals from a local golf club. In early January, he sent a letter to 1,000 of them (chosen at random) suggesting that they buy (i.e., long) soybean futures contracts. At the same time, he sent a different letter to the other 1,000, suggesting that they sell (i.e., short) soybean futures. By late January, soybean futures price dropped by about 10%, and so anyone in the second group who took his advice earned 10% in one month.

In early February, he sent follow-up letters to 500 of the “winners” (i.e., those who were told to short soybean futures contracts), advising them to buy German Deutschmark futures (at the time, Germany had not yet adopted the euro as their currency). The other 500 “winners” were sent a letter advising them to short Deutschmark futures. It turned out that the Deutschmark went up by 5% in February.

Type
Chapter
Information
Strategic Financial Planning over the Lifecycle
A Conceptual Approach to Personal Risk Management
, pp. 204 - 223
Publisher: Cambridge University Press
Print publication year: 2012

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