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Call Option Prices Based on Bessel Processes

Call option prices based on Bessel processes
Authors: Yor, Marc; Yen, J.-Y.;

Call Option Prices Based on Bessel Processes

Abstract

As a complement to some recent work by Pal and Protter, "Strict local martingales, bubbles, and no early exercise", we show that the call option prices associated with the Bessel strict local martingales are integrable over time, and we discuss the probability densities obtained thus.

14 pages, 2 figures (Figure 1. includes 6 sub-figures, Figure 2. includes 10 sub-figures)

Country
France
Keywords

[MATH.MATH-PR] Mathematics [math]/Probability [math.PR], last passage times, strict local martingale, Probability (math.PR), FOS: Mathematics, Diffusion processes, Financial applications of other theories, Bessel processes, Mathematics - Probability

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
bronze