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...

Based on a stylised financial system along with a systemic perspective thereof, we consider the structure of an aggregated banking system that is vulnerable to liquidity risks. Within this setup, a consistent mathematical modelling framework for term interest rate systems is derived that enables...

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...

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 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...

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 provide an alternative method for analysis of multifractal properties of time series. The new approach takes into account the behaviour of the whole multifractal profile of the generalized Hurst exponent $h(q)$ for all moment orders $q$, not limited only to the edge values of $h(q)$...

We construct explicitly a bridge process whose distribution, in its own filtration, is the same as the difference of two independent Poisson processes with the same intensity and its time 1 value satisfies a specific constraint. This construction allows us to show the existence of...