We present an exchange rate model in which a currency's exchange rate is confined in a wide moving band and a currency crash occurs when the rate breaches the lower boundary. A solution is derived from the standard log exchange rate equation for the model with a smooth-pasting condition at the...

We have provided a rigorous derivation of the asymmetric mean-reverting fundamental dynamics proposed by Lo and coworkers (2015) for target-zone exchange rates, and have shown that the proposed fundamental dynamics is the unique choice and described by the Rayleigh process. By analogy, such a...

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...

When a currency’s appreciation expectation cannot be offset by lower interest rates which have fallen to the zero lower bound, the monetary authority needs to intervene to prevent currency appreciation due to capital inflows and resulting in foreign reserve accumulation. Based on a standard...

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...