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Invariant measures for the Musiela equation with deterministic diffusion term

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Author Info
Tiziano Vargiolu () (Dipartimento di Matematica Pura ed Applicata, Universit di Padova, via Belzoni 7, I-35131 Padova, Italy Manuscript)

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Abstract

In this article the forward rates equation of the Musiela model is analysed. The equation is studied in the Sobolev spaces $H^1_\gamma({\Bbb R}^+)$ and $H^1({\Bbb R}^+)$. Explicit mild solutions and equivalent conditions for the existence and uniqueness of invariant measures are presented.

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File URL: http://link.springer.de/link/service/journals/00780/papers/9003004/90030483.pdf
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Publisher Info
Article provided by Springer in its journal Finance and Stochastics.

Volume (Year): 3 (1999)
Issue (Month): 4 ()
Pages: 483-492
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Handle: RePEc:spr:finsto:v:3:y:1999:i:4:p:483-492

Note: received: June 1996; final revision received: November 1998
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Related research
Keywords: term structure of interest rates; stochastic partial differential equations; mild solutions; invariant measures; $C^0$-semigroups in Hilbert spaces;

Find related papers by JEL classification:
E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Determination of Interest Rates; Term Structure of Interest Rates

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This page was last updated on 2009-11-25.


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