Perpetual American options within CTRW's

Economy – Quantitative Finance – Pricing of Securities

Scientific paper

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elsart, 12 pages, 2 figures, presented at APFA 6 conference; Revised and condensed version: 8 pages

Scientific paper

10.1016/j.physa.2008.01.054

Continuous-time random walks are a well suited tool for the description of market behaviour at the smallest scale: the tick-to-tick evolution. We will apply this kind of market model to the valuation of perpetual American options: derivatives with no maturity that can be exercised at any time. Our approach leads to option prices that fulfil financial formulas when canonical assumptions on the dynamics governing the process are made, but it is still suitable for more exotic market conditions.

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