In this paper, we consider a risk process with the arrival of claims modelled by a dynamic contagion process, a generalisation of the Cox process and Hawkes process introduced by Dassios and Zhao (2011). We derive results for the infinite horizon model that are generalisations of the...

We introduce a numerically efficient simulation algorithm for Hawkes process with exponentially decaying intensity, a special case of general Hawkes process that is most widely implemented in practice. This computational method is able to exactly generate the point process and intensity process,...

We introduce a bivariate Markov chain counting process with contagion for modelling the clustering arrival of loss claims with delayed settlement for an insurance company. It is a general continuous-time model framework that also has the potential to be applicable to modelling the clustering...

This paper introduces a new model for portfolio credit risk incorporating default and spread widening in one consistent framework. Credit spreads are modelled by geometric Brownian motions with a dependence structure powered by a t-copula. Their joint evolution drives the spreads widening and...

In this paper, we document vanilla interest-rate options (caps, floors and swaptions) newly introduced in China. The underlying rates are the RMB loan prime rates (LPRs), the foremost interest rates that matter to almost all businesses and households in China. They are digital with a tick size...

This paper documents vanilla interest-rate options (caps, floors and swaptions) newly introduced in China. The underlying rates are the RMB loan prime rates (LPRs), the foremost interest rates that matter to almost all businesses and households in China. They are digital with a tick size of five...

This paper introduces a highly analytically tractable parametric model for modelling interest-rate tick movements and arbitrage-free pricing interest-rate options. We apply it to loan prime rates (LPR), the foremost benchmark interest rates that matter to almost all businesses and households in...

We study a new type of securitization that deals with banks’ processing time, mortgage-receivable-backed securities (MRBSs) issued by real estate developers. Unlike traditional mortgage-backed securities (MBSs), the major risk of underlying assets of MRBSs is payment delay instead of default...

This paper introduces a new model for portfolio credit risk incorporating default and spread widening in a simple and consistent framework. Credit spreads are modelled by geometric Brownian motions with a dependence structure powered by a t-copula. Their joint evolution drives the spreads...