Based upon the Wei-Norman theorem, this paper presents a Lie-algebraic technique for the pricing of financial derivatives with time-dependent parameters. By exploiting the dynamical symmetry of the pricing partial differential equations of the financial derivatives, the new method enables us to...

In this paper we present a simple and easy-to-use method for computing accurate estimates (in closed form) of Black-Scholes barrier option prices with time-dependent parameters. This new approach is also able to provide tight upper and lower bounds (in closed form) for the exact barrier option...

The theoretical prediction on targeted exchange rates expects mean reversion of the exchange rates. There is some empirical evidence to support this prediction. This paper presents a model for valuing European foreign exchange options in which the forward foreign exchange rate follows a...

The exchange rate target zone literature has often suggested that mean reversion in an exchange rate within a zone can be taken as evidence that the system is credible. While the exchange rate system in Hong Kong is perceived as having a high degree of credibility, there is mixed empirical...

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...

Empirical findings and theoretical studies suggest that firms adjust towards time-varying target leverage ratios. This paper studies the performances of the default probabilities generated from two stationaryleverage models with time-dependent and constant target ratios respectively. The...

This article develops a barrier option pricing model in which the exchange rate follows a mean‐reverting lognormal process. The corresponding closed‐form solutions for the barrier options with time‐dependent barriers are derived. The numerical results show that barrier option values and...