The Heston stochastic volatility model in Hilbert space

  title={The Heston stochastic volatility model in Hilbert space},
  author={Fred Espen Benth and Iben Cathrine Simonsen},
  journal={Stochastic Analysis and Applications},
  pages={733 - 750}
ABSTRACT We extend the Heston stochastic volatility model to a Hilbert space framework. The tensor Heston stochastic variance process is defined as a tensor product of a Hilbert-valued Ornstein–Uhlenbeck process with itself. The volatility process is then defined by a Cholesky decomposition of the variance process. We define a Hilbert-valued Ornstein–Uhlenbeck process with Wiener noise perturbed by this stochastic volatility, and compute the characteristic functional and covariance operator of… 

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