We discuss the Heston [Heston-1993] model with stochastic interest rates driven by Hull-White [Hull,White-1996] (HW) or Cox-Ingersoll-Ross [Cox, et al.-1985] (CIR) processes. A so-called volatility compensator is defined which guarantees that the Heston hybrid model with a non-zero correlation...

We define an equity-interest rate hybrid model in which the equity part is driven by the Heston stochastic volatility [Hes93], and the interest rate (IR) is generated by the displaced-diffusion stochastic volatility Libor Market Model [AA02]. We assume a non-zero correlation between the main...

Here we develop an option pricing method for European options based on the Fourier-cosine series, and call it the COS method. The key insight is in the close relation of the characteristic function with the series coefficients of the Fourier-cosine expansion of the density function. In most...

Here we develop an option pricing method for European options based on the Fourier-cosine series, and call it the COS method. The key insight is in the close relation of the characteristic function with the series coefficients of the Fourier-cosine expansion of the density function. In most...

We present a pricing method based on Fourier-cosine expansions for early-exercise and discretely-monitored barrier options. The method works well for exponential Levy asset price models. The error convergence is exponential for processes characterized by very smooth transitional probability...

A fast and accurate method for pricing early exercise and certain exotic options in computational finance is presented. The method is based on a quadrature technique and relies heavily on Fourier transformations. The main idea is to reformulate the well-known risk-neutral valuation formula by...

Using a general equilibrium model in which both capital productivity and temperature are uncertain, we show that the social discount rate (SDR) will decline from 1% in 2010 to 0.6% in 2300 under the conventional, quadratic specification of the damage function, and to -2.0% under the reactive...

In financial markets, traders deal in assets and options. There exist many types of options and the best-known are the European call and put option. These options give holders the right to buy or sell assets at a specific future time for a predetermined price. This paper examines options of...

There has been a wide-spread misconception based on the imprecise wording of Art. 52 of the European Patent Convention (EPC) that the protection of business methods by patents is prohibited in Europe. This paper investigates the legal framework set by patent laws with respect to the...

Der Beitrag diskutiert die Anwendung des im Rahmen der Unternehmensbewertung häufig angewandten Gordon/Shapiro-Modells bei Vorliegen von Inflation sowie persönlichen Steuern. Gezeigt wird, dass sich steuerlich bedingtes und inflationsinduziertes Wachstum parallel im Kalkül erfassen lassen,...