This paper examines the term structures of default probabilities that are generated by the Collin-Dufresne and Goldstein model and a dynamic-leverage-ratio model. The dynamic-leverage-ratio model is capable of producing term structures of default probabilities which are consistent with some...

In this paper we propose a simple and easy-to-use method for computing accurate estimate (in closed form) of the double barrier hitting time distribution of a mean-reverting lognormal process, and discuss its application to pricing exotic options whose payoffs are contingent upon barrier hitting...

This paper assesses whether agency ratings and market-based default risk measures are consistent for East Asian banks during the period from 1996 to 2006. While the market-based measures are broadly consistent with the credit rating assessments for the banks in the developed economies, the...

Based upon the Fourier series expansion, we propose a simple and easy-to-use approach for computing accurate estimates of Black-Scholes double barrier option prices with time-dependent parameters. This new approach is also able to provide tight upper and lower bounds of the exact barrier option...

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...

In this paper we present a Lie-algebraic technique for the valuation of multi-asset 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 derive...

In this paper we apply the Lie-algebraic technique for the valuation of moving barrier options with time-dependent parameters. The value of the underlying asset is assumed to follow the constant elasticity of variance (CEV) process. By exploiting the dynamical symmetry of the pricing partial...

The quot;structural approachquot; to modeling credit risk specifies a stochastic process that the net asset value of the issuing firm is assumed to follow. If firm value falls below a certain quot;default barrier,quot; bankruptcy is triggered and the firm is assumed to default on its vulnerable...

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 partialdifferential equations of the financial derivatives, the new method enables us to...

The square root constant elasticity of variance (CEV) process has been paid little attention in previous research on valuation of barrier options. In this paper we derive analytical option pricing formulae of up-and-out options with this process using the eigenfunction expansion technique. We...