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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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/
http://irep.iium.edu.my/26982/
http://irep.iium.edu.my/26982/1/2010C.pdf
http://irep.iium.edu.my/26982/4/Programme_Book_latest_2.pdf
id iium-26982
recordtype eprints
spelling iium-269822013-02-13T20:43:47Z http://irep.iium.edu.my/26982/ Random binomial tree models and put options Ganikhodjaev, Nasir Bayram, Kamola QA Mathematics 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. IIUM 2012-07 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/26982/1/2010C.pdf application/pdf en http://irep.iium.edu.my/26982/4/Programme_Book_latest_2.pdf Ganikhodjaev, Nasir and Bayram, Kamola (2012) Random binomial tree models and put options. In: 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012), 3-5 July 2012, Kuala Lumpur, Malaysia. http://www.iium.edu.my/icmae/12/
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Bayram, Kamola
Random binomial tree models and put options
description 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.
format Conference or Workshop Item
author Ganikhodjaev, Nasir
Bayram, Kamola
author_facet Ganikhodjaev, Nasir
Bayram, Kamola
author_sort Ganikhodjaev, Nasir
title Random binomial tree models and put options
title_short Random binomial tree models and put options
title_full Random binomial tree models and put options
title_fullStr Random binomial tree models and put options
title_full_unstemmed Random binomial tree models and put options
title_sort random binomial tree models and put options
publisher IIUM
publishDate 2012
url http://irep.iium.edu.my/26982/
http://irep.iium.edu.my/26982/
http://irep.iium.edu.my/26982/1/2010C.pdf
http://irep.iium.edu.my/26982/4/Programme_Book_latest_2.pdf
first_indexed 2023-09-18T20:40:07Z
last_indexed 2023-09-18T20:40:07Z
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