Year: 2022
Type: article
Abstract: This paper examines a class of barrier options, multi‐step barrier options , which can have any finite number of barriers of any level. We obtain a general, explicit expression for option prices of this type under the Black–Scholes model by deriving the multi‐step reflection principle , that is, the multi‐step boundary‐crossing probability of Brownian motion. Multi‐step barrier options are not only useful in that they can handle barriers of different levels and time steps but can also approximate options with arbitrary barriers. Moreover, they can be applied to pricing barrier options under jump‐diffusion models.
Source: Journal of Futures Markets
DOI: 10.1002/fut.22306
Authors: Hangsuck Lee, Gaeun Lee, Seongjoo Song
Institutions: Sungkyunkwan University, Korea University
Language: English
Subfield: Finance
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W3184465446