Randomized Binomial Tree and Pricing of American-Style Options
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-12
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Randomized binomial tree and methods for pricing American options were studied.
Firstly, both the completeness and the no-arbitrage conditions in the randomized binomial tree market were proved.
Secondly, the description of the node was given, and the cubic polynomial relationship between the number of nodes and the time steps was also obtained.
Then, the characteristics of paths and storage structure of the randomized binomial tree were depicted.
Then, the procedure and method for pricing American-style options were given in a random binomial tree market.
Finally, a numerical example pricing the American option was illustrated, and the sensitivity analysis of parameter was carried out.
The results show that the impact of the occurrence probability of the random binomial tree environment on American option prices is very significant.
With the traditional complete market characteristics of random binary and a stronger ability to describe, at the same time, maintaining a computational feasibility, randomized binomial tree is a kind of promising method for pricing financial derivatives.
American Psychological Association (APA)
Xiaoping, Hu& Jie, Cao. 2014. Randomized Binomial Tree and Pricing of American-Style Options. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-460904
Modern Language Association (MLA)
Xiaoping, Hu& Jie, Cao. Randomized Binomial Tree and Pricing of American-Style Options. Mathematical Problems in Engineering No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-460904
American Medical Association (AMA)
Xiaoping, Hu& Jie, Cao. Randomized Binomial Tree and Pricing of American-Style Options. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-460904
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460904