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    • Functional itô calculus, path-dependence and the computation of greeks 

      Jazaerli, Samy; Saporito, Yuri Fahham
      2015
      Dupire’s functional Itˆo calculus provides an alternative approach to the classical Malliavin calculus for the computation of sensitivities, also called Greeks, of path-dependent derivatives prices. In this paper, we ...
    • Functional Itô calculus, path-dependence and the computation of Greeks 

      Jazaerli, Samy; Saporito, Yuri Fahham
      2017-12
      Dupire's functional Ito calculus provides an alternative approach to the classical Malliavin calculus for the computation of sensitivities, also called Greeks, of path-dependent derivatives prices. In this paper, we introduce ...
    • The functional Meyer–Tanaka formula 

      Saporito, Yuri Fahham
      2017
      The functional Itô formula, firstly introduced by Bruno Dupire for continuous semimartingales, might be extended in two directions: different dynamics for the underlying process and/or weaker assumptions on the regularity ...
    • Heston stochastic vol-of-vol model for joint calibration of VIX and S&P 500 options 

      Fouque, Jean-Pierre; Saporito, Yuri Fahham
      2018
      A parsimonious generalization of the Heston model is proposed where the volatility-of-volatility is assumed to be stochastic. We follow the perturbation technique of Fouque et al [Multiscale Stochastic Volatility for Equity, ...
    • Stochastic control and differential games with path-dependent controls 

      Saporito, Yuri Fahham
      2017-03-05
      In this paper we consider the functional Itˆo calculus framework to find a path- dependent version of the Hamilton-Jacobi-Bellman equation for stochastic control problems with path-dependence in the controls. We also prove ...