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Science/Engineering Pricing of Bond Options: Unspanned Stochastic Volatility and Random Field Models

Posted on 2010-03-16




Name:Science/Engineering Pricing of Bond Options: Unspanned Stochastic Volatility and Random Field Models
ASIN/ISBN:3540707212
Language:English
File size:12.5 Mb
ISBN: 3540707212
Publish Date: October 21, 2008
File Type: PDF (OCR)
Pages: 138 pages
File Size: 1243 KB
Other Info: Springer
   Science/Engineering Pricing of Bond Options: Unspanned Stochastic Volatility and Random Field Models

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Pricing of Bond Options: Unspanned Stochastic Volatility and Random Field Models (Lecture Notes in Economics and Mathematical Systems): Detlef Repplinger

A major theme of this book is the development of a consistent unified model framework for the evaluation of bond options. In general options on zero bonds (e.g. caps) and options on coupon bearing bonds (e.g. swaptions) are linked by no-arbitrage relations through the correlation structure of interest rates. Therefore, unspanned stochastic volatility (USV) as well as Random Field (RF) models are used to model the dynamics of entire yield curves. The USV models postulate a correlation between the bond price dynamics and the subordinated stochastic volatility process, whereas Random Field models allow for a deterministic correlation structure between bond prices of different terms. Then the pricing of bond options is done either by running a Fractional Fourier Transform or by applying the Integrated Edgeworth Expansion approach. The latter is a new extension of a generalized series expansion of the (log) characteristic function, especially adapted for the computation of exercise probabilities.

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