Convergence of discrete time option pricing models under stochastic interest rates
We 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.
Volume (Year): 4 (2000)
Issue (Month): 1 ()
|Note:||received: January 1998; final version received: February 1999 received: January 1998; final version received: February 1999|
|Contact details of provider:|| Web page: http://www.springerlink.com/content/101164/ |
|Order Information:||Web: http://link.springer.de/orders.htm|
When requesting a correction, please mention this item's handle: RePEc:spr:finsto:v:4:y:2000:i:1:p:81-93. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn)or (Christopher F Baum)
If references are entirely missing, you can add them using this form.