no code implementations • 20 Jan 2023 • Julio Guerrero, Maria del Carmen Galiano, Giuseppe Orlando
The main objective of this work is to test whether some stochastic models typically used in financial markets could be applied to the COVID-19 pandemic.
no code implementations • 25 Mar 2022 • Daniele Bufalo, Michele Bufalo, Francesco Cesarone, Giuseppe Orlando
Then, assuming that the returns follow skew geometric Brownian motions and that they are correlated, we describe some statistical properties for the \emph{ex-post}, the \emph{ex-ante} tracking errors, and the forecasted tracking portfolio.
no code implementations • 27 Jan 2022 • Julio Guerrero, Giuseppe Orlando
In this paper, we show that a time-dependent local stochastic volatility (SLV) model can be reduced to a system of autonomous PDEs that can be solved using the Heat kernel, by means of the Wei-Norman factorization method and Lie algebraic techniques.