We compare local and global polynomial solution methods for DSGE models with Epstein-Zin-Weil utility. We show that model implications for macroeconomic quantities are relatively invariant to choice of solution method but that a global method can yield substantial improvements for asset prices...

In this paper we primarily obtain the explicit formulas for the distribution function of the variance gamma process. The formulas are based on values of hypergeometric functions. This result is applied to European option pricing. Basing on the established formulas, we get the prices of binary...

We compare local and global polynomial solution methods for DSGE models with Epstein-Zin-Weil utility. We show that model implications for macroeconomic quantities are relatively invariant to choice of solution method but that a global method can yield substantial improvements for asset prices...

In this paper we implement the method of Feynman path integral for the analysis of option pricing for certain L'evy process driven financial markets. For such markets, we find closed form solutions of transition probability density functions of option pricing in terms of various special...

We present a pathwise approach to continuous-time finance, based on causal functional calculus. Our framework does not rely on any probabilistic concept. We introduce a definition of continuous-time self-financing portfolios which does not rely on any integration concept and show that the value...

We consider a tractable affine stochastic volatility model that generalizes the seminal Heston (1993) model by augmenting it with jumps in the instantaneous variance process. In this framework, we consider options written on the realized variance, and we examine the impact of the distribution of...

An enhanced option pricing framework that makes use of both continuous and discontinuous time paths based on a geometric Brownian motion and Poisson-driven jump processes respectively is performed in order to better fit with real-observed stock price paths while maintaining the analytical...

We examine the pricing of variance swaps and some generalizations and variants such as self-quantoed variance swaps, gamma swaps, skewness swaps and proportional variance swaps.We consider the pricing of both discretely monitored and continuously monitored versions of these swaps when the...

The Accardi-Boukas quantum Black-Scholes framework, provides a means by which one can apply the Hudson-Parthasarathy quantum stochastic calculus to problems in finance. Solutions to these equations can be modelled using nonlocal diffusion processes, via a Kramers-Moyal expansion, and this...

We price derivatives defined for different asset classes with a full stochastic dependence structure. We consider jointly geometric Brownian motions and mean-reversion processes with a a stochastic variance-covariance matrix driven by a Wishart process. These models cannot be treated within the...