This paper characterizes performance measures satisfying a set of proposed axioms. We develop four new measures consistent with the axioms and show that they improve on the economic properties of the Sharpe Ratio and the Gain-Loss Ratio. In our treatment, the performance measures, or the indices...

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 models default risk as composed of arrival and magnitude risks. In our model the two default components are explicitly priced as if they were traded in the futures market and the spot price of risky debt is derived as a consequence. We develop estimation strategies to evaluate the...

Market efficiency is measured by arbitrage proximity. The magnitude of probability distortion necessary to remove drift calibrates the efficiency. Simulations of bilateral gamma models estimated on a year's past returns yield empirical acceptability indices for each day for each asset. The...

Options paying the product of put and/or call option payouts at different strikes on two underlying assets are observed to synthesize joint densities and replicate differentiable functions of two underlying asset prices. The pricing of such options is undertaken from three perspectives. The...

It is argued that the growth in the breadth of option strikes traded after the financial crisis of 2008 poses difficulties for the use of Fourier inversion methodologies in volatility surface calibration. Continuous time Markov chain approximations are proposed as an alternative. They are shown...

The Sato process model for option prices is expanded to accomodate credit considerations by incorporating a single jump to default occuring at an independent random time with a Weibull distribution. Explicit formulas for bid and ask prices are derived. Liquidity considerations are captured by...

Distortions introduced by limited liability towards higher volatility and kurtosis, increased liability skewness, reduced asset skewness and an incentive to decorrelate assets from liabilities are demonstrated in the context of a stylized model. The concept of acceptable risks operationalized by...

Single period risks acceptable to the market at zero cost are modeled by a convex set of random variables leading to bid and ask prices that are trade size dependent. The theory of nonlinear expectations is employed to construct dynamically consistent sequences of bid and ask unit size prices...