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Duration and the Measurement of Basis Risk

Authors: Cox, John C; Ingersoll, Jonathan E, Jr; Ross, Stephen A;

Duration and the Measurement of Basis Risk

Abstract

Forty years ago Macaulay proposed the measure of "duration" to represent the " . . . essence of the time element of a loan (1938, p. 44).1 Hicks independently derived the equivalent "average period" measuring the " . . . [bond price] elasticity with respect to a discount ratio [i.e., factor or discount rate plus unity]" (1939, p. 186). The elasticity properties of duration have been successfully employed by several authors in problems involving the reduction of basis risk.2 The use of duration as an alternative time measure has not been as fruitful.3 In fact, an examination of Macaulay's book shows that even he is primarily concerned with the risk-proxying properties of his measure despite the assigned name "duration." In this paper we examine the traditional measure of duration and the conditions under which it is valid to use it in risk comparisons. We then propose an alternate measure of This note criticizes the traditional measures of duration and their role in the measurement of basis risk. A theoretically superior measure of basis risk, which is measured in units of time, like duration, is proposed in its place. The properties of the new measure are discussed and compared to those of the traditional measures.

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Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
133
Top 10%
Top 1%
Average
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