Demand and supply uncertainty lead to market models setting prices to levels of acceptable risk for excess supplies and net revenues. The result is a two price equilibrium. Equilibrium solutions applied to financial market data infer demand and supply elasticities and log normal volatilities....

Acceptability pricing is formulated, for the dual problem, as a disciplined convex program solvable by the software CVXOPT. Forward starting options are used to illustrate the procedures for acceptability defined by positive expectation under the concave distortion minmaxvar. The measures used...

Minimal discounted distorted expectations across a range of stress levels are employed to model risk acceptability in markets. Interactions between discounting and stress levels used in measure changes are accommodated by lowering discount rates for the higher stress levels. Acceptability...

Stochastic processes arising in the description of the risk-neutral evolution of equity prices are reviewed. Starting with Brownian motion, I review extensions to Lévy and Sato processes. These processes have independent increments; the former are homogeneous in time, whereas the latter are...

Three processes reflecting persistence of volatility are initially formulated by evaluating three Lévy processes at a time change given by the integral of a mean-reverting square root process. The model for the mean-reverting time change is then generalized to include non-Gaussian models that...

Three processes reflecting persistence of volatility are initially formulated by evaluating three Lévy processes at a time change given by the integral of a mean-reverting square root process. The model for the mean-reverting time change is then generalized to include non-Gaussian models that...

This paper extends the known results on the equivalence between market completeness and the uniqueness of martingale measures for finite asset economies, to the infinite asset case. Our arguments employ results from the theory of linear operators between locally convex topological vector spaces....

Stochastic volatility and jumps are viewed as arising from Brownian subordination given here by an independent purely discontinuous process and we inquire into the relation between the realized variance or quadratic variation of the process and the time change. The class of models considered...

When firms access unbounded liability exposures and are granted limited liability, then an all equity firm holds a call option, whereby it receives a free option to put losses back to the taxpayers. We call this option the taxpayer put, where the strike is the negative of the level of reserve...

Loan spreads are analysed for two types of loans. The first takes losses at maturity only; the second one follows the formulation of CFOs (Collateralized Fund Obligations), with losses registered over the lifetime of the contract. In both cases, the implementation requires the choice of a...