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Recursive formula for the double-barrier Parisian stopping time

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Abstract In this paper we obtain a recursive formula for the density of the double-barrier Parisian stopping time. We present a probabilistic proof of the formula for the first few… Click to show full abstract

Abstract In this paper we obtain a recursive formula for the density of the double-barrier Parisian stopping time. We present a probabilistic proof of the formula for the first few steps of the recursion, and then a formal proof using explicit Laplace inversions. These results provide an efficient computational method for pricing double-barrier Parisian options.

Keywords: double barrier; parisian stopping; stopping time; barrier parisian; recursive formula

Journal Title: Journal of Applied Probability
Year Published: 2018

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