A time homogeneous, purely discontinuous, parsimonous Markov martingale model is proposed for the risk neutral dynamics of equity forward prices. Transition probabilities are in the variance gamma class with spot dependent parameters. Markov chain approximations give access to option prices. The...

Learning the pre limited liability value process of equity claims and its relationship to the stock price is an answer to the financial jeorpardy question when observed option prices are the answer being given by the market. Constant dollar equity holder values, prior to the imposition of...

When demands and supplies are uncertain, given the prices, equilibrium cannot be defined by equating them. New equilibria are then formed on modeling markets as the abstract risk taking agent. The theory of acceptable risks is applied to redefine economic equilibrium. The market sets two prices...