In this paper, we propose two practicable approaches for consistently modelling the realworld and risk-neutral measures within cross-asset Monte-Carlo frameworks. We go on to explore the necessity of supporting the real-world measure and consider its calibration with the aid of an explicit...

We use stochastic volatility models to describe the evolution of the asset price, its instantaneous volatility, and its realized volatility. In particular, we concentrate on the Stein-Stein model (SSM) (1991) for the stochastic asset volatility and the Heston model (HM) (1993) for the stochastic...

We propose a structural default model to evaluate the counterparty risk by trading in credit default swap (CDS) contracts. We model the joint evolution of the firm value of the entity underlying the CDS contract and the counterparty using a correlated jump-diffusion process. Unlike the...

We present an automated market-making (AMM) cross-settlement mechanism for digital assets on inter-operable blockchains, focusing on central bank digital currencies (CBDCs) and stable coins. We develop an innovative approach for generating fair exchange rates for on-chain assets consistent with...

Key Features:Contributors are practitioners and academics from leading institutions such as Citigroup, Lehmen Brothers, JP Morgan, University of Cambridge, Imperial College London and Stanford University.

This handbook provides a timely discussion of the mathematical modelling that underpins both credit derivatives and securitisation. It covers statistical analysis and techniques modelling of default of both single and multiple entities counterparty risk, Gaussian and non-Gaussian modelling, and...