We establish general theory of foreign exchange derivatives (FXD), for multidimensional, possibly incomplete, Itô SDE market/econometric models. The established theory is consistent with the one of foreign exchange rates (FXR) introduced by the author in a previous note. A very simple example...

In this paper we apply the multivariate construction for Lévy processes introduced by Ballotta and Bonfiglioli (2014) to propose an integrated model for the joint dynamics of FX exchange rates and asset prices. We show that the proposed construction is consistent in terms of symmetries with...

We derive risk-neutral option price formulas for plain-vanilla and exotic electricity futures derivatives on the basis of diverse arithmetic multi-factor Ornstein-Uhlenbeck spot price models admitting seasonality. In these setups, we take additional forward-looking knowledge on future price...

We solve the superhedging problem for European options in a market with finite liquidity where trading has transient impact on prices, and possibly a permanent one in addition. Impact is multiplicative to ensure positive asset prices. Hedges and option prices depend on the physical and cash...

We study the optimal timing of derivative purchases in incomplete markets. In our model, an investor attempts to maximize the spread between her model price and the offered market price through optimally timing her purchase. Both the investor and the market value the options by risk-neutral...

In this article we derive risk-neutral option price formulas for both plain-vanilla and exotic electricity futures derivatives on the basis of diverse arithmetic multi-factor Ornstein-Uhlenbeck spot price models admitting seasonality, while – in order to avoid “information...

This paper reconsiders the predictions of the standard option pricing models in the context of incomplete markets. We relax the completeness assumption of the Black-Scholes (1973) model and as an immediate consequence we can no longer construct a replicating portfolio to price the option....

Regulations impose idiosyncratic capital and funding costs for holding derivatives. Capital requirements are costly because derivatives desks are risky businesses; funding is costly in part because regulations increase the minimum funding tenor. Idiosyncratic costs mean no single measure makes...

In this paper, we present a new precipitation model based on a multi-factor Ornstein-Uhlenbeck approach of pure-jump type. In this setup, we derive a representation for the related precipitation swap price process and infer its risk-neutral time dynamics. We further deduce a pricing formula for...

In this paper, we derive optimal hedging strategies for options in electricity futures markets. Optimality is measured in terms of minimal variance and the associated minimal variance hedging portfolios are obtained by a stochastic maximum principle. Our explicit results are particularly useful...