2021年度

Math-Fi seminar on 14 Oct.

2021.10.13 Wed up
  • Date: 14 Oct. (Thu.)
  • Place: On the Web
  • Time: 16:30 – 18:00
  • Speaker: Tomooki Yuasa (Ritsumeikan University)
  • Title: Higher order error estimate of the discrete-time Clark–Ocone formula
  • Abstract:
In this talk, we investigate the convergence rate of the discrete-time Clark–Ocone formula provided by Akahori–Amaba–Okuma (2017).
In that paper, they mainly focus on the $L_{2}$-convergence rate of the first order error estimate related to the tracking error of the delta hedge in mathematical finance.
Here, as two extensions, we estimate “the higher order error” for Wiener functionals with an integrability index $2$ and “an arbitrary differentiability index”.

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