Piecewise linear double barrier options
- Authors
- Lee, H.[Lee, H.]; Ha, H.[Ha, H.]; Lee, M.[Lee, M.]
- Issue Date
- Jan-2022
- Publisher
- John Wiley and Sons Inc
- Keywords
- Brownian motion of piecewise constant drift; double barrier option; drift refraction; Esscher transform; piecewise linear double barrier
- Citation
- Journal of Futures Markets, v.42, no.1, pp.125 - 151
- Indexed
- SSCI
SCOPUS
- Journal Title
- Journal of Futures Markets
- Volume
- 42
- Number
- 1
- Start Page
- 125
- End Page
- 151
- URI
- https://scholarworks.bwise.kr/skku/handle/2021.sw.skku/90290
- DOI
- 10.1002/fut.22279
- ISSN
- 0270-7314
- Abstract
- A piecewise linear double barrier option generalizes classical double barrier options because of its versatility in designing various double boundaries. This paper discusses how to price piecewise linear double barrier options. To this purpose, we derive the probability that an underlying process does not cross a given piecewise linear double barrier, where the underlying process follows the Brownian motion of piecewise constant drift. Using the established non-crossing probability, we provide the explicit pricing formulas of piecewise linear double barrier options and show how the shape of a double barrier affects the option prices through extensive numerical experiments. © 2021 Wiley Periodicals LLC
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Collections - Science > Department of Mathematics > 1. Journal Articles
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