Convergence of discrete time option pricing models under stochastic interest rates
AbstractWe analyze the joint convergence of sequences of discounted stock prices and Radon-Nicodym derivatives of the minimal martingale measure when interest rates are stochastic. Therefrom we deduce the convergence of option values in either complete or incomplete markets. We illustrate the general result by two main examples: a discrete time i.i.d. approximation of a Merton type pricing model for options on stocks and the trinomial tree of Hull and White for interest rate derivatives.
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Bibliographic InfoArticle provided by Springer in its journal Finance and Stochastics.
Volume (Year): 4 (2000)
Issue (Month): 1 ()
Note: received: January 1998; final version received: February 1999 received: January 1998; final version received: February 1999
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Web page: http://www.springerlink.com/content/101164/
Other versions of this item:
- Jean-Philippe Lesne & Jean-Luc Prigent & Olivier Scaillet, 1998. "Convergence of Discrete Time Option Pricing Models Under Stochastic Interest Rates," Working Papers 98-51, Centre de Recherche en Economie et Statistique.
- D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
- E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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- J.L. Prigent & O. Renault & O. Scaillet., 1999.
"Option pricing with discrete rebalancing,"
THEMA Working Papers
99-41, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Jean -Luc Prigent & Olivier Renault & Olivier Scaillet, 1999. "Option Pricing with Discrete Rebalancing," Working Papers 99-61, Centre de Recherche en Economie et Statistique.
- Jean-Luc PRIGENT & Olivier RENAULT & Olivier SCAILLET, 2002. "Option Pricing with Discrete Rebalancing," FAME Research Paper Series rp55, International Center for Financial Asset Management and Engineering.
- Prigent, J.-L. & Renault, O. & Scaillet, O., 1999. "Option Pricing with Discrete Rebalancing," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1999029, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES), revised 00 Oct 1999.
- J.L. Prigent & O. Scaillet, 2000.
"Weak Convergence of Hedging Strategies of Contingent Claims,"
THEMA Working Papers
2000-50, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Jean-Luc PRIGENT & Olivier SCAILLET, 2002. "Weak Convergence of Hedging Strategies of Contingent Claims," FAME Research Paper Series rp39, International Center for Financial Asset Management and Engineering.
- Johannes Leitner, 2000. "Convergence of Arbitrage-free Discrete Time Markovian Market Models," CoFE Discussion Paper 00-07, Center of Finance and Econometrics, University of Konstanz.
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