A Geometric View of Interest Rate TheoryNo 419, SSE/EFI Working Paper Series in Economics and Finance from Stockholm School of Economics Abstract: The purpose of this essay is to give an overview of some recent workconcerning structural properties of the evolution of the forward rate curve in an arbitrage free bond market. The main problems to be discussed are as follows.
1. When is a given forward rate model consistent with a given family of forward rate curves?
2. When can the inherently infinite dimensional forward rate process be realized by means of a finite dimensional state space model.
We consider interest rate models of Heath-Jarrow-Morton type, where the forward rates are driven by a multi- dimensional Wiener process, and where he volatility is allowed to be an arbitrary smooth functional of the present forward rate curve. Within this framwork we give necessary and sufficient conditions for consistency, as well as for the existence of a finite dimensional realization, in terms of the forward rate volatilities. Keywords: interest rates; Markovian realizations; forward rates; invariant manifold (search for similar items in EconPapers) Published in Option pricing, Interest Rates and Risk Management, Jouini, Elyes, Cvitanic, Jaksa, Musiela, Marek (eds.), 2001, chapter 7, pages 241-277, Cambridge University Press. Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:hhs:hastef:0419 Access Statistics for this paper More papers in SSE/EFI Working Paper Series in Economics and Finance from Stockholm School of Economics The Economic Research Institute, Stockholm School of Economics, P.O. Box 6501, 113 83 Stockholm, Sweden. Contact information at EDIRC. |
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