Comonotone additivity for two price economy bid and ask prices motivates combining bid prices for call options with the ask prices for puts and the converse to construct two densities (termed lower and upper) reflected by these prices. The two densities scaled to a unit mean are here linked by...

In this paper, we examine the impact of including environmental, social and governance (ESG) criteria in the allocation of equity portfolios. We focus on the risk and return characteristics of the resulting ESG portfolios and investment strategies. Two specific measures are considered to...

"This is a comprehensive introduction to the brand new theory of conic finance, also referred to as the two-price theory, which determines bid and ask prices in a consistent and fundamentally motivated manner. Whilst theories of one price classically eliminate all risk, the concept of acceptable...

A capped volatility swap is a forward contract on an asset’s capped, annualized, realized volatility, over a predetermined period of time. This paper presents data-driven machine learning techniques for pricing such capped volatility swaps, using unique data sets comprising both the strike...

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 introduce a fundamental model under which we will price contingent capital notes using conic finance techniques. The model is based on more realistic balance-sheet models recognizing the fact that asset and liabilities are both risky and have been treated differently taking into...

For data on market prices on 246 cliquets we consider the task of pricing these exotic options using a relatively simple path space subsequently stressed to market implied and then predicted stress levels. An additive process transitioning from a Sato process to a Levy process is formulated and...

In this paper, we introduce two classes of indices which can be used to measure the market perception concerning the degree of dependency that exists between a set of random variables, representing different stock prices at a fixed future date.The construction of these measures is based on the...

The risk conscious investor is defined as the maximizer of a conservative valuation or dynamically a nonlinear expectation. Both the static and dynamic problems are addressed using distortions of tail probabilities or distortions of tail measures. The multivariate static problem is solved in the...