Economy – Quantitative Finance – Pricing of Securities
Scientific paper
2007-08-03
Physica A 387 (2008) 3936-3941
Economy
Quantitative Finance
Pricing of Securities
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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