This paper proposes a simple bounded stochastic motion to model equity price dynamics under shocks. The stochastic process has a quasi-bounded boundary which can be breached if the probability leakage condition is met. The quasi-boundedness of the process at the boundary can thus provide an...

An exchange rate model with crash risk is developed with the exchange rate confined in a wide moving band. A currency crash occurs when its exchange rate breaches a boundary. Using an asymmetric mean-reverting fundamental shock to incorporate intervention policy in the model, the log-normalised...

This working paper was written by Cho-Hoi Hui (Hong Kong Monetary Authority), Chi-Fai Lo (The Chinese University of Hong Kong) and Ho-Yan Ip (The Chinese University of Hong Kong).Asymmetric behaviour has been documented in unemployment rates which increase quickly in recessions but decline...

This paper develops a valuation model of European options incorporating a stochastic default barrier, which extends a constant default barrier proposed in the Hull-White model. The default barrier is considered as an option writer's liability. Closed-form solutions of vulnerable European option...

This paper presents a benchmarking model for validation of default probabilities of listed companies for Basel II purposes. The model is based on the recent studies on the predictive capability of structural credit risk models. Benchmark ratings and one-year default probabilities are assigned to...

This paper proposes an analytic method to estimate the option-implied correlation embedded in options on the iTraxx Europe CDS indexes. The option-implied correlation is suggested as a measure of the spillover effect of default risk between the financial and corporate sectors in Europe. In...

Using interest rate derivative market prices, this paper derives the term structure of the LIBOR-overnight index swap (OIS) spread, which is considered as the funding liquidity risk premium, following the Cox–Ingersoll–Ross model. The probability density functions of the LIBOR-OIS spread...

This paper studies the discriminatory power and calibration quality of the structural credit risk models under the 'exogenous default boundary' approach including those proposed by Longstaff and Schwartz (1995) and Collin-Dufresne and Goldstein (2001), and 'endogenous default boundary' approach...

Asymmetric behaviour has been documented in unemployment rates which increase quickly in recessions but decline relatively slowly during expansions. To model such asymmetric dynamics, this paper provides a rigorous derivation of the asymmetric mean-reverting fundamental dynamics governing the...