An adaptive averaging binomial method for option valuation
- Authors
- Moo, Kyoung-Sook; Kim, Hongjoong
- Issue Date
- Sep-2013
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Option pricing; Binomial methods; Adaptive methods; Local averaging
- Citation
- OPERATIONS RESEARCH LETTERS, v.41, no.5, pp.511 - 515
- Journal Title
- OPERATIONS RESEARCH LETTERS
- Volume
- 41
- Number
- 5
- Start Page
- 511
- End Page
- 515
- URI
- https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/14311
- DOI
- 10.1016/j.orl.2013.06.008
- ISSN
- 0167-6377
- Abstract
- We introduce efficient accurate binomial methods for option pricing. The standard binomial approximation converges to continuous Black-Scholes values with the saw-tooth pattern in the error as the number of time steps increases. When we introduce local averages of payoffs at expiry, the saw-tooth pattern in the error has been reduced and the approximation becomes reliable. Furthermore, we employ adaptive meshes around non-smooth regions for efficiency. Numerical experiments illustrate that the proposed method gives more accurate values with less computational work compared to other methods. (C) 2013 Elsevier B.V. All rights reserved.
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