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...

La presente investigación intenta replicar el trabajo de Fama y French (1992) para el mercado chileno, dentro de cierto marco de limitaciones generales. Específicamente, el objetivo de la investigación es evaluar el rol conjunto del beta de mercado, el tamaño, la razón utilidad a precio, el...

The security dynamics described by the Black-Scholes equation with price-dependent variance can be approximated as a damped discrete-time hopping process on a recombining binomial tree. In a previous working paper, such a nonuniform tree was explicitly constructed in terms of the continuous-time...

EU accession requires, inter alia, free movements of capital. If a massive capital outflow occurs, the central banks from the accession or acceding countries may carry two types of intervention: on money market, and introducing restrictions on capital account. The paper explains when is...

Interest-rate derivative models governed by parabolic partial differential equations (PDEs) are studied with discrete-time recombining binomial trees. For the Buehler-Kaesler discount-bond model, the expiration value of the bond is a limit point of tree sites. Representative calculations give a...

A valuation model is presented for options on stocks for which Black- Scholes arbitrage does not entirely eliminate risk. The price dynamics of a portfolio of options and the underlying security is quantified by requiring that the excess reward-to-risk ratio of the portfolio be identical to that...

We document a surprising pattern in market prices of S&P 500 index options. When implied volatilities are graphed against a standard measure of moneyness, the implied volatility smirk does not flatten out as maturity increases up to the observable horizon of two years. This behavior contrasts...

EU accession requires, inter alia, free movements of capital. If a massive capital outflow occurs, the central banks from the accession or acceding countries may carry two types of intervention: on money market, and introducing restrictions on capital account. The paper explains when is...

We develop a simple robust test for the presence of continuous and discontinuous (jump) com­ponents in the price of an asset underlying an option. Our test examines the prices of at­the­money and out­of­the­money options as the option maturity approaches zero. We show that these prices...