In this paper, we consider pricing of European options and spread options for Hawkes-based model for the limit order book. We introduce multivariate Hawkes process and the multivariable general compound Hawkes process. Exponential multivariate general compound Hawkes processes and limit theorems...

Is the American put option in the Black-Scholes model simply an incognito European one? In this paper, we develop a numerical procedure, in the context of the Black-Scholes model, to approximate the payoff of a European type option that generates prices that are equal to the prices of the...

This paper discusses the semiparametric boundary problem of the upper or lower mean of the European butterfly option under normal condition, unimodal condition and bimodal condition, and draws good conclusions. The research is based on dual method and measure transformation