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SSRN Electronic Journal
Article . 2009 . Peer-reviewed
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Research . 2006
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Interest Rate Convexity and the Volatility Smile

Authors: Boenkost, Wolfram; Schmidt, Wolfgang M.;

Interest Rate Convexity and the Volatility Smile

Abstract

When pricing the convexity effect in irregular interest rate derivatives such as, e.g., Libor-in-arrears or CMS, one often ignores the volatility smile, which is quite pronounced in the interest rate options market. This note solves the problem of convexity by replicating the irregular interest flow or option with liquidly traded options with different strikes thereby taking into account the volatility smile. This idea is known among practitioners for pricing CMS caps. We approach the problem on a more general scale and apply the result to various examples.

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Keywords

Zins, interest rate options, ddc:330, G13, Volatilität, interest rate options,volatility smile,convexity,,option replication, volatility smile, option replication, Optionspreistheorie, convexity,, Theorie, jel: jel:G13

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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!
1
Average
Average
Average
bronze