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...

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...

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), Andrew Wong(Hong Kong Monetary Authority) and Chi-Fai Lo (The Chinese University of Hong Kong).This note uses a target-zone model to study the bond yield movements under yield curve control. The bond yield is assumed...

We derive the Bitcoin exchange rate dynamics by solving the exchange rate equation of the standard flexible-price monetary model to investigate any characteristics of Bitcoin like a currency. The dynamics is driven by an asymmetric mean-reverting fundamental shock which can be attributed to a...

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...

Yield curve control (YCC) allows central banks to control long-term interest rates within a pre-announced trading band to complement traditional monetary policy. This note uses a target-zone model developed for exchange rates to study the bond yield movements under YCC. The bond yield is assumed...