A Markov chain with an expanding non-uniform grid matching risk neutral marginal distributions is constructed. Conditional distributions of the chain are in the variance gamma class with prespecified skewness and excess kurtosis. Time change and space scale volatilities are calibrated from...

The paper provides a new hedging methodology permitting systematic hedging choices with wide applications. Dynamic concave bid price, and convex ask price functionals from the recent literature are employed to construct new hedging strategies termed dynamic conic hedging. The primary focus of...

Trading strategies are valued using non-linear conditional expectations with respect to non-additive probabilities in a discrete time Markovian context. Non-additive probabilities attain conservatism by exaggerating upwards tail loss events and exaggerating downwards tail gain events. Steady...

In this paper we explore a novel way to combine the dynamic notion of time-consistency with the static notion of quantile-based coherent risk-measure or spectral risk measure, of which Expected Shortfall is a prime example. We introduce a class of dynamic risk measures in terms of a certain...

Eberlein, Kallsen and Kristen (2003) argued that the VIX index is a good way to devolatize SPX returns. Adopting this approach we construct a risk neutral model for SPX returns as a variance gamma process scaled by the VIX. We model the risk neutral evolution of the squared VIX as a mean...

Complex insurance risks typically have multiple exposures. Options on multiple underliers with a short maturity are employed to hedge this exposure. Hedges are illustrated for GMWBVA accounts invested in the nine sector ETF's of the US economy. The underliers are simulated risk neutrally by...

Prudent upper and lower valuations from the literature on arbitrage free two price economies provide risk characteristics driving required returns. The risk characteristics assess the risk of price fluctuations. The difference between the upper and lower prudent valuations can be viewed as a...

Conic pricing (or bid and ask pricing) of credit risk shows how counterparty credit risk when conservatively valued at the bid price results in larger CVA than would occur under risk neutral pricing. On the other hand when it comes to the debt valuation adjustment, since it is a liability, it...

Observing that pure discount curves are now based on a variety of tenors giving rise to tenor specific zero coupon bond prices, the question is raised on how to construct tenor specific prices for all financial contracts. Noting that in conic finance one has the law of two prices, bid and ask,...

Postulating additivity of bid and ask prices for claims comonotone with a long or short stock position, two pricing processes are identified from data on bid and ask prices for options. It is observed that there are two separate put call parity relations in place, with the ask price for call...