We show that under the Black Scholes assumption the price of an arithmetic average Asian call option with fixed strike increases with the level of volatility . This statement is not trivial to prove and for other models in general wrong. In fact we demonstrate that in a simple binomial model no...

In this paper a pricing formula is derived for futures options in Schwartz 1997 two factor model with time dependent spot volatility. The pricing formula can be used like the Black-Scholes formula with observed volatility directly. Also, it can be used to find backwards the results of time...

In this paper we investigate the applicability of the asymptotic approach developed in Fouque et al. (2000) for pricing commodity futures options in a Schwartz (1997) multi factor model, featuring both stochastic convenience yield and stochastic volatility. We show that the zero order term in...

This paper develops a closed-form model for options on commodities under the assumptions of mean-reversion in the commodity prices and regime-switching in the commodity returns volatility. After a closed-form solution for the option value in constant regimes has been developed, the model is...

We develop a dynamic valuation model of the hedge fund seeding business by solving the consumption and portfolio-choice problem for a risk-averse manager who launches a hedge fund through a seeding vehicle. This vehicle, i.e. fees-for-seed swap, specifies that a strategic partner (seeder)...

In this article we derive tractable analytic solutions for futures and options prices for a linear-quadratic jump-diffusion model with seasonal adjustments in stochastic volatility and convenience yield. We then calibrate our model to data from the fish pool futures market, using the extended...

In this article we introduce a linear quadratic volatility model with co-jumps and show how to cal- ibrate this model to a rich dataset. We apply GMM and more specifically match the moments of realized power and multi-power variations, which are obtained from high-frequency stock market data....

In this article we derive tractable analytic solutions for futures and options prices for a linear-quadratic jump-diffusion model with seasonal adjustments in stochastic volatility and convenience yield. We then calibrate our model to data from the fish pool futures market, using the extended...

We consider the classical investment timing problem in a framework where the instantaneous volatility of the project value is itself given by a stochastic process, hence lifting the old question about the investment-uncertainty relationship to a new level. Motivated by the classical cases of...