Testing the Forecasting Performance of Ibex 35 Option-implied Risk-neutral Densities

Published also as: Documento de Trabajo Banco de España 0504/2005.

Option-Implied Preferences Adjustments and Risk-Neutral Density Forecasts

The main objective of this paper is to analyse the value of information contained in prices of options on the IBEX 35 index at the Spanish Stock Exchange Market. The forward looking information is extracted using implied risk-neutral density functions estimated by a mixture of two-lognormals and three alternative risk-adjustments: the classic power and exponential utility functions and a habit-based specification that allows for a counter-cyclical variation of risk aversion. Our results show that at four-week horizon we can reject the hypothesis that between October 1996 and March 2000 the risk-neutral densities provide accurate predictions of the distributions of future realisations of the IBEX 35 index at a four-week horizon. When forecasting through risk-adjusted densities the performance of this period is statistically improved and we no longer reject that hypothesis. All risk-adjusted densities generate similar forecasting statistics. Then, at least for a horizon of four-weeks, the actual risk adjustment does not seem to be the issue. By contrast, at the one-week horizon risk-adjusted densities do not improve the forecasting ability of the risk-neutral counterparts.

An empirical comparison of the performance of alternative option pricing models

Published as an article in: Investigaciones Economicas, 2005, vol. 29, issue 3, pages 483-523.

Which policy option can be more cost-effective in promoting the use of energy efficient appliances in Europe? A comparison of energy taxes, subsidies, tax credits and bans.

4 p.

Long Term Dynamics in CO2 Allowance Prices and Carbon Capture Investments

In this paper we analyse the behaviour of the EU market for CO2 emission allowances; specifically, we focus on the contracts maturing in the Kyoto Protocol's second period of application (2008 to 2012). We calibrate the underlying parameters for the allowance price in the long run and we also calibrate those from the Spanish wholesale electricity market. This information is then used to assess the option to install a carbon capture and storage (CCS) unit in a coal-fired power plant. We use a two-dimensional binomial lattice where costs and profits are valued and the optimal investment time is determined. In other words, we study the trigger allowance prices above which it is optimal to install the capture unit immediately. We further analyse the impact of several variables on the critical prices, among them allowance price volatility and a hypothetical government subsidy. We conclude that, at current permit prices, from a financial point of view, immediate installation does not seem justified. This need not be the case, though, if carbon market parameters change dramatically and/or a specific policy to promote these units is adopted.

Valuing Flexibility: The case of an Integrated Gasification Combined Cycle Power Plant

In this paper we analyze the valuation of options stemming from the flexibility in an Integrated Gasification Combined Cycle (IGCC) Power Plant. First we use as a base case the opportunity to invest in a Natural Gas Combined Cycle (NGCC) Power Plant, deriving the optimal investment rule as a function of fuel price and the remaining life of the right to invest. Additionally, the analytical solution for a perpetual option is obtained. Second, the valuation of an operating IGCC Power Plant is studied, with switching costs between states and a choice of the best operation mode. The valuation of this plant serves as a base to obtain the value of the option to delay an investment of this type. Finally, we derive the value of an opportunity to invest either in a NGCC or IGCC Power Plant, that is, to choose between an inflexible and a flexible technology, respectively. Numerical computations involve the use of one- and two-dimensional binomial lattices that support a mean-reverting process for the fuel prices. Basic parameter values refer to an actual IGCC power plant currently in operation.

Monte Carlo Valuation of natural gas investments

This paper deals with the valuation of energy assets related to natural gas. In particular, we evaluate a baseload Natural Gas Combined Cycle (NGCC) power plant and an ancillary instalation, namely a Liquefied Natural Gas (LNG) facility, in a realistic setting; specifically, these investments enjoy a long useful life but require some non-negligible time to build. Then we focus on the valuation of several investment options again in a realistic setting. These include the option to invest in the power plant when there is uncertainty concerning the initial outlay, or the option's time to maturity, or the cost of CO2 emission permits, or when there is a chance to double the plant size in the future. Our model comprises three sources of risk. We consider uncertain gas prices with regard to both the current level and the long-run equilibrium level; the current electricity price is also uncertain. They all are assumed to show mean reversion. The two-factor model for natural gas price is calibrated using data from NYMEX NG futures contracts. Also, we calibrate the one-factor model for electricity price using data from the Spanish wholesale electricity market, respectively. Then we use the estimated parameter values alongside actual physical parameters from a case study to value natural gas plants. Finally, the calibrated parameters are also used in a Monte Carlo simulation framework to evaluate several American-type options to invest in these energy assets. We accomplish this by following the least squares MC approach.

Going Multinational under Exchange Rate Uncertainty

Published as an article in: Journal of International Money and Finance, 2010, vol. 29, issue 6, pages 1171-1191.

Smiling under stochastic volatility

This paper studies the behavior of the implied volatility function (smile) when the true distribution of the underlying asset is consistent with the stochastic volatility model proposed by Heston (1993). The main result of the paper is to extend previous results applicable to the smile as a whole to alternative degrees of moneyness. The conditions under which the implied volatility function changes whenever there is a change in the parameters associated with Hestons stochastic volatility model for a given degree of moneyness are given.

Methodological keys for the acquisition and long-term use of photographic collections representing elements of Heritage

Contributed to: Fusion of Cultures. XXXVIII Annual Conference on Computer Applications and Quantitative Methods in Archaeology – CAA2010 (Granada, Spain, Apr 6-9, 2010)

Estructura de la bolsa española e introducción del mercado de activos derivados sobre el IBEX-35

[ES] La controversia acerca de si la implantación y negociación de activos derivados afecta a la estabilidad de los respectivos mercados de contado perdura desde hace más de dos décadas. En este trabajo abordamos la problemática anterior desde una nueva perspectiva. Concretamente, analizamos el impacto que sobre la estructura del mercado bursátil ha podido tener la introducción de los mercados de activos derivados sobre el IBEX-35. Para ello, definimos e identificamos la estructura del mercado bursátil para el periodo de estudio, y, a continuación, analizamos el efecto que sobre la misma ha tenido la aparición de los nuevos mercados de derivados. Nuestros resultados son consistentes con los de otros autores, ya que si bien no se ha producido un cambio generalizado y substancial en la estructura del mercado bursátil, la introducción de los nuevos mercados sí parece que ha afectado a un número reducido de empresas incluidas en el IBEX-35.

Los Modelos Implícitos de Valoración de Opciones

[ES] Los modelos implícitos constituyen uno de los enfoques de valoración de opciones alternativos al modelo de Black-Scholes que ha conocido un mayor desarrollo en los últimos años. Dentro de este planteamiento existen diferentes alternativas: los árboles implícitos, los modelos con función de volatilidad determinista y los modelos con función de volatilidad implícita. Todos ellos se construyen a partir de una estimación de la distribución de probabilidades riesgo-neutral del precio futuro del activo subyacente, congruente con los precios de mercado de las opciones negociadas. En consecuencia, los modelos implícitos proporcionan buenos resultados en la valoración de opciones dentro de la muestra. Sin embargo, su comportamiento como instrumento de predicción para opciones fuera de muestra no resulta satisfactorio. En este artículo se analiza la medida en la que este enfoque contribuye a la mejora de la valoración de opciones, tanto desde un punto de vista teórico como práctico.

Astarloaren ekarpena euskal gramatikaren ikerketetan

Pablo Pedro Astarloaren jaiotzako 250. urteurrena dela eta, Durangon, 2002-VI-29an Euskaltzaindiaren bilera irekian irakurritako txostena

De re etymologica: vasc. -(r)antz ‘hacia’

Iker bilduma = Colección Iker, nº 17

Transformaciones agropecuarias en Guipúzcoa durante los siglos XVI y XVII

Actas de la XII Reunión Científica de la Fundación Española de Historia Moderna, celebrada en la Universidad de León en 19-21 de junio de 2012.