Equilibrium models have been widely used in literature with the aim of showing theoretical properties of emission trading systems. This paper derives first a new equilibrium model. Second, it is shown that the theoretical permit price is related to changes in the expectation about how long...

Market mechanisms are increasingly being used as a tool for allocating somewhat scarce but unpriced rights and resources, such as air and water. Tradable permits have emerged as the most cost effective measure leading to the emergence of both nationwide (SO2 ) and supranational (CO2 ) emission...

Market mechanisms are increasingly being used as a tool for allocating somewhat scarce but unpriced rights and resources, such as air and water. Tradable permits have emerged as the most cost–effective measure leading to the emergence of both nationwide (SO2) and supranational (CO2) emission...

We present efficient partial differential equation (PDE) methods for continuous time mean-variance portfolio allocation problems when the underlying risky asset follows a jump-diffusion. The standard formulation of mean-variance optimal portfolio allocation problems, where the total wealth is...

This paper addresses the joint calibration problem of SPX options and VIX options or futures. We show that the problem can be formulated as a semimartingale optimal transport problem under a finite number of discrete constraints, in the spirit of [arXiv:1906.06478]. We introduce a PDE...

Many problem classes in Finance lead to high-dimensional partial differential equations (PDEs), which need to be solved efficiently. Currently, several methods exist to either circumnavigate the curse of dimensionality or use parallel High Performance Computing to calculate solutions despite it....

Calibrating option pricing models to market prices often leads to optimisation problems to which standard methods (like such based on gradients) cannot be applied. We investigate two models: Heston's stochastic volatility model, and Bates's model which also includes jumps. We discuss how to...

We present a discrete time stochastic volatility model in which the conditional distribution of the logreturns is a Variance-Gamma, that is a normal variance-mean mixture with Gamma mixing density. We assume that the Gamma mixing density is time varying and follows an affine Garch model, trying...

We present an embarrassingly simple method for supervised learning of SABR model's European option price function based on lookup table or rote machine learning. Performance in time domain is comparable to generally used analytic approximations utilized in financial industry. However, unlike the...

We propose a numerical procedure for the pricing of financial contracts whose contingent claims are exposed to two sources of risk: the stock price and the short interest rate. More precisely, in our pricing framework we assume that the stock price dynamics is described by the Cox, Ross...