We consider a class of generalized capital asset pricing models in continuous time with a finite number of agents and tradable securities. The securities may not be sufficient to span all sources of uncertainty. If the agents have exponential utility functions and the individual endowments are...

We consider a class of generalized capital asset pricing models in continuous time with a finite number of agents and tradable securities. The securities may not be sufficient to span all sources of uncertainty. If the agents have exponential utility functions and the individual endowments are...

We propose a novel approach for the construction of quantile processes governing the stochastic dynamics of quantiles in continuous time. Two classes of quantile diffusions are identified: The first, which we largely focus on, features a random quantile level and allows for direct interpretation...

Modelling the risk that a financial institution may not be able to roll over short-term borrowing at the market reference rate, we derive the dynamics of (interbank) reference term rates (e.g., LIBOR) and their spread vis-à-vis benchmarks based on overnight reference rates, e.g., rates implied...

We develop quantitative methods to support financial product analysis-redesign required by the Carbon Equivalence Principle (CEP) to achieve financial net-zero and thus carbon net-negative positions. We then apply the CEP analysis-redesign to project finance for power generation across a range...

Banks representing 40% of global banking assets are members of the Net-Zero Banking Alliance (NZBA) who commit to net-zero carbon in their portfolio impacts by roughly 2050. Here we present methods for steering their derivative portfolios based on the mitigation cost (benefit) of CO2-equivalent...

We develop a novel stochastic valuation and premium calculation principle based on probability measure distortions that are induced by quantile processes in continuous time. Necessary and sufficient conditions are derived under which the quantile processes satisfy first– and second– order...

We introduce the Carbon Equivalence Principle that requires carbon-equivalent flows enabled, or caused, by a financial product to have equal status with cashflows. This reveals that existing financial products already have environmental impact and so are ESG-linked, without the need for any...

We develop a class of non-life reserving models using a stable-1/2 random bridge to simulate the accumulation of paid claims, allowing for an essentially arbitrary choice of a priori distribution for the ultimate loss. Taking an information-based approach to the reserving problem, we derive the...