The purpose of this paper is to present a survey of recent developments concerningthe distributions of occupation times of Brownian motion and their applications in mathematicalfinance. The main result is a closed form version for Akahori's generalized arc-sine law which canbe exploited for pricing some innovative types of options in the Black & Scholes model. Moreovera straightforward proof for Dassios' representation of theα-quantile of Brownian motion with driftshall be provided.
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