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Author

Masaaki Fukasawa

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Preprint Sep 2026

Short-term barrier option price expansion

We derive a short-maturity expansion for up-and-out put barrier option prices under continuous stochastic volatility when the strike and the barrier approach the spot at the diffusive scale. Assuming joint weak convergence of the normalized terminal return, the relative volatility fluctuation, and the running maximum,...

Masaaki Fukasawa · 0 citations
Preprint Aug 2026

Error Distribution of the Local Linearization Method for Stochastic Differential Equations with Additive Brownian Noise

We prove a functional stable limit theorem for the discretization error process of a local linearization scheme for stochastic differential equations with additive Brownian noise. The scheme includes the conditional mean of the second-order term involving the Brownian increment in the Taylor expansion of the drift. The...

Masaaki Fukasawa, Mikio Hirokane, Kostas Kardaras · 0 citations

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