In this paper, two analytic solutions for the valuation of European-style Parisian and Parasian options under the Black–Scholes framework are, respectively, presented. A key feature of our solution procedure is the reduction of a three-dimensional problem to a two-dimensional problem through a...

Abstract In this note, we extend Xie (JET, 1994) to solve analytically the Lucas model with a weak externality in a specific parametric case. In particular, we characterize the shape of imbalance effects in this model. Our results are mostly consistent with the findings of the related...

Quantification of baseflow to drainage ditches is essential in understanding flow dynamics in a watershed. The mass balance estimation for a stream section may not give an accurate measure of the baseflow during low-flow periods due to the lack of accuracy in flow measurements in the flumes....

A simple analytical method is proposed that allows a preliminary evaluation of the overall efficiency of a detention basin system for flood risk reduction in a specific target section. Solutions are provided both for parallel and series systems, under some simplifying assumptions concerning the...

Entropy generation rate is directly related to exergy destruction and is therefore to useful energy. This study investigates temperature distribution and local and total entropy generation rates within a composite hollow cylinder with temperature-dependent thermal conductivity and internal heat...

This paper investigates tide-induced groundwater fluctuation and submarine groundwater discharge (SGD) in a leaky inhomogeneous coastal aquifer system with an upper unconfined aquifer, a lower confined aquifer, and an aquitard between them. The upper left aquifer is formed due to land...

This paper establishes the performance characteristics of convective–radiative longitudinal fins of rectangular, trapezoidal and concave parabolic profiles with simultaneous variation of thermal conductivity, heat transfer coefficient and surface emissivity with temperature. The convection and...

We derive a customized solution to the diffusion equation in a heterogeneous slab with an arbitrary contiguous source. While aspects of solution have previously been reported in the literature, its full explicit form as presented here by solving a 3-term recurrence, has not. We conclude with a...