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Convergence of Discrete Time Options Pricing Models under Stochastic Rates

Author

Listed:
  • Lesne, J.P.
  • Prigent, J.L.
  • Scaillet, O.

Abstract

We analyze the joint convergence of sequences of discounted stock prices and the 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 particularize the general reuslt to 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.

Suggested Citation

  • Lesne, J.P. & Prigent, J.L. & Scaillet, O., 1997. "Convergence of Discrete Time Options Pricing Models under Stochastic Rates," Papers 9734, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    • Handle: RePEc:fth:pnegmi:9734
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    More about this item

    Keywords

    PRICES ; INTEREST RATE ; ECONOMETRICS ; CONVERGENCE;
    All these keywords.

    JEL classification:

    • 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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