We investigate risk averse agents who manage risk by trading financial securities in a market that we call a risk market. We assume this market is perfectly competitive and complete. When risk aversion is expressed using risk measures, the (bundle of) prices for financial securities turns out to...

The significant excess of the price of risk, research question in the version paper, [S. Chule, in Applied Mathematical Finance, submitted June 2016], is space-domain form re-evaluated into the stochastic problem objective of the premium risk. The adapts of the conventional generic replication...

These days it's become convention (reinforced by the media's treatment of wealth) to assess our net worth by tallying up the market value of our financial assets, even though it's more natural and useful to think of our wealth as a stream of dollars over time given the nature of our income and...

We present a simple approach to transform a deterministic numerical model, where several agents simultaneously make decisions, into a stochastic model. This approach, which builds on scenario aggregation, a numerical method developed to solve decision problems under uncertainty, is used to build...

We present a simple approach to transform a deterministic numerical model, where several agents simultaneously make decisions, into a stochastic model. This approach, which builds on scenario aggregation, a numerical method developed to solve decision problems under uncertainty, is used to build...

This paper lays down the rudiments of a descriptive theory of competition among the digital tech platforms known as “FANGs” (Facebook, Amazon, Netflix and Google), amidst rising academic and policy polarization over the answer to what seems to be – at least at the formulation level – a...

Empirical studies of horse race betting in the U.S., the UK, and Australia have established the so called favorite-longshot bias. Studies find that on average, bets on longshots lose much more than do bets on favorites. This means that longshots are overbet and favorites are underbet. By using a...

We study option pricing and hedging with uncertainty about a Black-Scholes reference model which is dynamically recalibrated to the market price of a liquidly traded vanilla option. For dynamic trading in the underlying asset and this vanilla option, delta-vega hedging is asymptotically optimal...

We study the pricing and hedging of derivative securities with uncertainty about the volatility of the underlying asset. Rather than taking all models from a prespecified class equally seriously, we penalise less plausible ones based on their "distance" to a reference local volatility model. In...

We study a stochastic version of Fudenberg and Tirole's (1985) preemption game to analyze the effects of jumps in the underlying uncertainty on equilibrium strategies. Two firms contemplate entering a new market where the demand follows a jump-diffusion process. Firms differ is the sunk costs of...