The equity premium (also called market risk premium, equity risk premium, market premium and risk premium), is one of the most important, discussed but elusive parameters in finance. The term equity premium is used to designate four different concepts (although many times they are mixed):...

As is well known, the classic Black­Scholes option pricing model assumes that returns follow Brownian motion. It is widely recognized that return processes differ from this benchmark in at least three important ways. First, asset prices jump, leading to non­normal return innovations. Second,...

We propose a direct and robust method for quantifying the variance risk premium on financial assets. We theoretically and numerically show that the risk-neutral expected value of the return variance, also known as the variance swap rate, is well approximated by the value of a particular...

Levy processes can capture the behaviors of return innovations on a full range of financial securities. Applying stochastic time changes to the Levy processes randomizes the clock on which the processes run, thus generating stochastic volatilities and stochastic higher return moments. Therefore,...

In 1993, the Chicago Board of Options Exchange (CBOE) introduced the CBOE Volatility Index. This index has become the de facto benchmark for stock market volatility. On September 22, 2003, the CBOE revamped the definition and calculation of the volatility index, and back-calculated the new index...

We apply stochastic time change to Levy processes to generate a wide variety of tractable option pricing models. In particular, we prove a fundamental theorem that transforms the characteristic function of the time-changed Levy process into the Laplace transform of the stochastic time under...

En este documento se valoran varias emisiones de bonos bolsa (un tipo de bonos estructurados) emitidos en Espantilde;a. Estis instrumentos financieros son la combinacioacute;n de un bono y una o maacute;s opciones.I value several issues of 'bonos bolsa' issued in Spain. These instruments are the...

En este documento se muestra coacute;mo utilizar la simulacioacute;n para valorar opciones y otros instrumentos financieros. Tambieacute;n se muestra coacute;mo se ha de realizar la simulacioacute;n para, al valorar opciones, obtener el mismo resultado que con la foacute;rmula de Black y Scholes.MBA...

We propose a direct and robust method for quantifying the variance risk premium on financial assets. We theoretically and numerically show that the risk-neutral expected value of the return variance, also known as the variance swap rate, is well approximated by the value of a particular...

Most existing hedging theories are derived under strong, idealistic assumptions on both the underlying security price dynamics and the trading environments. Practical concerns such as contract availability, transaction cost, and uncertainty regarding the security price dynamics impose severe...