This paper will show how the relatively voluminous surviving records about exchange rates in the middle ages can help to illuminate the much murkier question of medieval interest rates. We will first explain how the medieval FX market operated and its links to the money market. Next, we will set...

We price multi-asset options by solving their price partial differential equations using a meshfree approach with radial basis functions under jump-diffusion and geometric Brownian motion frameworks. In the geometric Brownian motion framework, we propose an effective technique that breaks the...

There is a potential conflict of interest between a pension fund sponsor and future pensioners when they share unequally in the pension fund performance. Thus, when a scheme offers a yearly guaranteed minimum return to pensioners, as is presently the case with German Pensionskassen, the sponsors...

I present a simple method for the modeling and simulation of dependent positive jump processes through a series representation. Each constituent process is represented by a series whose terms are equal to a transformation of the jump times of a standard Poisson process. The transformations are...

We derive a general analytic approximation for pricing basket options on N assets, which is extended to analytic approximations for pricing general rainbow options, including best-of and worst-of N asset options. The key idea is to express the option's price as a sum of prices of various...

We develop and test a fast and accurate semi-analytical formula for single-name default swaptions in the context of the shifted square root jump diffusion (SSRJD) default intensity model. The formula consists of a decomposition of an option on a summation of survival probabilities in a summation...