In recent years the financial world has focused on accurate pricing of exotic and hybrid products that are based on a combination of underlyings from different asset classes. In this paper we present an extension of the stochastic volatility models by a stochastic Hull-White interest rate component. It is our goal to include this system of stochastic differential equations in the class of affin...

In this survey we shall focus on the following issues related to jump-diffusion models for asset pricing in financial engineering. (1) The controversy over tailweight of distributions. (2) Identifying a risk-neutral pricing measure by using the rational expectations equilibrium. (3) Using Laplace transforms to pricing options, including European call/put options, path-dependent options, such as...

In October 2015, the third international Pharmaceutical Pricing and Reimbursement Information (PPRI) Conference was held in Vienna to foster discussion on challenges in pricing and reimbursement policies for medicines. The research presented highlighted that commonly used pharmaceutical pricing and reimbursement policies are not sufficiently effective to address current challenges. Conference p...

This paper describes how to evaluate a long-term fixed priced material procurement contract versus spot purchases. We model the long-term contract as a real option. In the financial world, option pricing is based on the assumption that the market is complete and frictionless. This assumption is usually too strong when it comes to pricing real options. For example, both the option and its underl...

In this paper we study algorithms for pricing of financial contracts using a lattice process of interest rates. If the cash-flows generated by the contract depend on the history of the interest rates (path dependent contracts), then the pricing algorithms are typically of exponential complexity. We demonstrate that for some models, there exist polynomial algorithms for path dependent contracts....

In this paper we study dynamic pricing mechanisms of financial derivatives. A typical model of such pricing mechanism is the so-called g–expectation defined by solutions of a backward stochastic differential equation with g as its generating function. Black-Scholes pricing model is a special linear case of this pricing mechanism. We are mainly concerned with two types of pricing mechanisms in a...

Volatility modelling has become a significant area of research within Financial Mathematics. Wiener process driven stochastic volatility models have become popular due their consistency with theoretical arguments and empirical observations. However such models lack the ability to take into account long term and fundamental economic factors e.g. credit crunch. Regime switching models with mean r...

A computational technique borrowed from the physical sciences is introduced to obtain accurate closed-form approximations for the transition probability of arbitrary diffusion processes. Within the path integral framework the same technique allows one to obtain remarkably good approximations of the pricing kernels of financial derivatives. Several examples are presented, and the application of ...

Monte Carlo simulation is a popular method for pricing financial options and other derivative securities because of the availability of powerful workstations and recent advances in applying the tool. The existence of easy-to-use software makes simulation accessible to many users who would otherwise avoid programming the algorithms necessary to value derivative securities. This paper presents ex...