This paper presents a Continuous-Time Hidden Markov Model (CT-HMM) of debt issuers' credit quality dynamics. We observe ratings published by several agencies (e.g., Standard & Poor's, Moody's, Fitch) for one or several issuers (e.g., countries) and assume that we can find a maximum-likelihood...

We propose a hybrid scheme for the simulation of stochastic Volterra equations. The scheme is a mix of the hybrid scheme for Brownian semistationary processes of Bennedsen et al. [Financ. Stoch., 21(4), 931-965, 2017] and then the multifactor approximations of Abi Jaber et al. [SIAM J. Finan....

Since their introduction, quanto options have steadily gained popularity. Matching Black-Scholes-type pricing models and, more recently, a fat-tailed, normal tempered stable variant have been established. The objective here is to empirically assess the adequacy of quanto-option pricing models....

Intraday high-frequency data of stock returns exhibit not only typical characteristics (e.g., volatility clustering and the leverage effect) but also a cyclical pattern of return volatility that is known as intraday seasonality. In this paper, we extend the stochastic volatility (SV) model for...

We present a new model of normal tempered stable (NTS) processes with stochastic correlation for multi-asset option pricing. The model is constructed by extending the constant correlation term in the NTS model to the stochastic correlation making use of the Ornstein-Uhlenbeck process. As the...

Stationary Increment Tempered Fractional Lévy Processes (TFLP) introduced by Boniece, Didier and Sabzikar (2020) are applied to financial data. They are used to model the stochastic drift rate of a mean reverting equation. The new processes are called OU processes with a TFLP drift rate....

We provide explicit, simple price formulas for the Europeanoptions under stochastic volatility and stochastic interest rate. The formulasare as simple as the classical Black-Scholes formula. Moreover, the formulasdo not require the normality of the returns. We do not need to know thedistribution...

This paper explores the capacity of Geometric Brownian Motion (GBM) and Prophet model to predict stock market returns during coronavirus outbreak. To the best of our knowledge this is the first research that compares GBM and prophet model in order to forcast stock market volatility especially...

Following Boukai (2021) we present the Generalized Gamma (GG) distribution as a possible RND for modeling European options prices under Heston's (1993) stochastic volatility (SV) model. This distribution is seen as especially useful in situations in which the spot's price follows a negatively...