One aim of Viability Theory is to regulate evolutions under uncertainty in order not only to reach a target in finite time, but also to fulfill constraints (known as viability) until this time. Within the framework of finance, in the case of replicating portfolios, the target is defined by the...

The pricing problem of options with an early exercise feature, such as American options, is one of the important topics in mathematical finance. The pricing formulas for American options, however, have not been found in general and the numerical methods are required to derive the price of these...

We model the joint distribution between the euro-sterling and the dollar-sterling exchange rate using option-implied markginal distributions that are connected via a copula function. We then derive univariate distributions for the simpliefied sterling effective exchange rate index (ERI). Our...

This paper uses an asymptotically valid expansion to derive explicitly agent's individual demand schedules and then the equilibrium allocations in options. Agents derive financial and non-tradeable income over time; they can only partially offset the latter using bonds and stocks and the option...

There is a general argument saying that adding derivative securities (options) to a financial market makes the market more efficient, and has therefore a stabilising effect. We investigate this claim by adding Arrow securities on future states of the world in the asset pricing model with...

In the past decades, the amount of worldwide security transactions that was processed by electronic trading platforms increased significantly. In this paper we develop a theoretical framework for the pricing of limit orders of the Electronic Security Trading System Xetra operated by the German...