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...

In this paper a simple stochastic approach has been presented for modelling financial observables which are constrained to lie between two positive bounds. While the proposed stochastic process has an inaccessible upper boundary, the lower boundary is quasi-bounded, implying that the lower...

In this paper a simple stochastic approach has been presented for modelling financial observables which are constrained to lie between two positive bounds. While the proposed stochastic process has an inaccessible upper boundary, the lower boundary is quasi-bounded, implying that the lower...

In this paper we use the method of images to derive the closed-form formula for the first passage time density of a timed-dependent Ornstein-Uhlenbeck process to a parametric class of moving boundaries. The results are then applied to develop a simple, efficient and systematic approximation...

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...