Random binomial tree models and put options

In this paper we introduce and study the simplest random binomial tree model. Usual binomial tree model is prescribed by pair of numbers (u, d), where u denotes the increase rate of the stock over the fixed period of time and d denotes the decrease rate, with 0< d < 1< u. We call the pair (...

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Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Bayram, Kamola
Format: Conference or Workshop Item
Language:English
English
Published: IIUM 2012
Subjects:
Online Access:http://irep.iium.edu.my/26982/1/2010C.pdf
http://irep.iium.edu.my/26982/4/Programme_Book_latest_2.pdf
http://irep.iium.edu.my/26982/
http://www.iium.edu.my/icmae/12/
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English
English
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Summary:In this paper we introduce and study the simplest random binomial tree model. Usual binomial tree model is prescribed by pair of numbers (u, d), where u denotes the increase rate of the stock over the fixed period of time and d denotes the decrease rate, with 0< d < 1< u. We call the pair (u, d) an environment of the binomial tree model. A pair (Un, Dn), where {Un} and {Dn} are the sequences of independent, identically distributed random variables with 0< Dn < 1< Un for all n, is called a random environment and binomial tree model with random environment is called random binomial tree model. In this paper we define and study European put option for such models.