A generalization of Hull and White formula and applications to option pricing approximation

By means of Malliavin Calculus we see that the classical Hull and White formulafor option pricing can be extended to the case where the noise driving thevolatility process is correlated with the noise driving the stock prices. Thisextension will allow us to construct option pricing approximation formulas.Numerical examples are presented.

On Option Price Information Content and Extraction of Implied Probability Distributions

In this study we used market settlement prices of European call options on stock index futures to extract implied probability distribution function (PDF). The method used produces a PDF of returns of an underlying asset at expiration date from implied volatility smile. With this method, the assumption of lognormal distribution (Black-Scholes model) is tested. The market view of the asset price dynamics can then be used for various purposes (hedging, speculation). We used the so called smoothing approach for implied PDF extraction presented by Shimko (1993). In our analysis we obtained implied volatility smiles from index futures markets (S&P 500 and DAX indices) and standardized them. The method introduced by Breeden and Litzenberger (1978) was then used on PDF extraction. The results show significant deviations from the assumption of lognormal returns for S&P500 options while DAX options mostly fit the lognormal distribution. A deviant subjective view of PDF can be used to form a strategy as discussed in the last section.

Asymptotic analysis of stock price densities and implied volatilities in mixed stochastic models

In this paper, we obtain sharp asymptotic formulas with error estimates for the Mellin con- volution of functions de ned on (0;1), and use these formulas to characterize the asymptotic behavior of marginal distribution densities of stock price processes in mixed stochastic models. Special examples of mixed models are jump-di usion models and stochastic volatility models with jumps. We apply our general results to the Heston model with double exponential jumps, and make a detailed analysis of the asymptotic behavior of the stock price density, the call option pricing function, and the implied volatility in this model. We also obtain similar results for the Heston model with jumps distributed according to the NIG law.

Adoption of information technology based patient education in psychiatric nursing

The overall goal of the study was to describe adoption of information technology (IT)-based patient education (PE) developed for patients and nurses use in psychiatric nursing. The data were collected in three phases during the period 2000-2006 in a variety of psychiatric settings in Finland. Firstly, the development process of IT-based PE for patients with schizophrenia spectrum psychosis was described. Secondly, nurses’ adoption of IT-based PE and the variables explaining adoption were demonstrated. Moreover, use of daily IT-based PE in clinical practice and factors associated with use were identified and described. And thirdly, nurses’ experiences of the IT-based PE after one year clinical use were evaluated. IT-based PE program was developed in several stages based on users’ needs and it included information and multimedia applications. Altogether, almost 500 IT-based PE sessions were carried out by the nurses on the study wards and revealed nurses’ activity in educating patients using IT to vary and depend on the hospital in which they worked. Almost 80% of all the possible IT-based PE sessions involved 93 patients and 83 nurses. Less than 2% of the IT-based PE sessions were interrupted and less than 10% suffered disturbances due to the patients or external causes. Moreover, the patients whose education took more days had poorer mental status than those whose education was carried out over a shorter period. After a year’s experience, advantages and disadvantages were described by the nurses for both patients and nurses of the IT-based PE. IT-based PE can be used even on closed acute psychiatric wards with patients with serious mental health disorders. However, technology adoption requires time, and therefore, it must fit in with clinical practice. Collaboration between users and developers is needed when developing user-centered methods in the area of mental health services. Moreover, it is important to understand factors that affect IT adoption in healthcare settings. IT-based PE is one option in interactive and co-operative health care practice between patients and nurses. Therefore the staff should begin to refer patients to established, credible and well-maintained Internet sites that provide information on common psychological problems. Even if every nurse should be trained and engaged to carry out IT-based PE, by targeting the training especially for the most active nurses aids them to support the less active ones. Adoption should also be understood from a perspective that includes aspects related to the context where it is implemented and examine how and in what circumstances it works.

A stochastic dynamic programming approach for pricing options on stock-index futures

The aim of this thesis is to price options on equity index futures with an application to standard options on S&P 500 futures traded on the Chicago Mercantile Exchange. Our methodology is based on stochastic dynamic programming, which can accommodate European as well as American options. The model accommodates dividends from the underlying asset. It also captures the optimal exercise strategy and the fair value of the option. This approach is an alternative to available numerical pricing methods such as binomial trees, finite differences, and ad-hoc numerical approximation techniques. Our numerical and empirical investigations demonstrate convergence, robustness, and efficiency. We use this methodology to value exchange-listed options. The European option premiums thus obtained are compared to Black's closed-form formula. They are accurate to four digits. The American option premiums also have a similar level of accuracy compared to premiums obtained using finite differences and binomial trees with a large number of time steps. The proposed model accounts for deterministic, seasonally varying dividend yield. In pricing futures options, we discover that what matters is the sum of the dividend yields over the life of the futures contract and not their distribution.

The Impact of a Corporate Name Change on Stock Price and Trading Volume of Canadian Companies

This thesis examines the impact of a corporate name change on stock price and trading volume of Canadian companies around the announcement date, the approval date, and the adoption date over the time period from 1997 to 2011. Name changes are classified into six categories: major and minor, structural and pure, diversified and focused, accompanied with a change in ticker symbol and without a change in ticker symbol, “Gold” name addition and deletion, and different reasons for name changes (e.g., merger and acquisition, change of structure, change of strategy, and better image). The thesis uses the standard event study methodology to perform abnormal return and trading volume analyses. In addition, regression analysis is employed to examine which type of a name change has the largest impact on cumulative abnormal returns. Sample stocks exhibit a significant positive abnormal return one-day prior to the approval day and one day after the adoption date. Around the approval date we observe significant abnormal returns for stocks with a structural name change. On the day after the adoption date we document abnormal returns for stocks with major, minor, structural, pure, focused, and ticker symbol name changes. If a merger or acquisition is the reason for a name change, companies tend to experience a significant positive abnormal return one-day before the approval date and on the adoption date. If a change of structure is the reason for a name change, companies exhibit a significant positive abnormal return on the approval date and a significant negative abnormal return on the adoption date. In case of a change of strategy as the reason for a name change, companies show a significant negative abnormal return around the approval date and a significant positive abnormal return around the adoption date.

Empirical Assessment of an Intertemporal Option Pricing Model with Latent variables

This paper assesses the empirical performance of an intertemporal option pricing model with latent variables which generalizes the Hull-White stochastic volatility formula. Using this generalized formula in an ad-hoc fashion to extract two implicit parameters and forecast next day S&P 500 option prices, we obtain similar pricing errors than with implied volatility alone as in the Hull-White case. When we specialize this model to an equilibrium recursive utility model, we show through simulations that option prices are more informative than stock prices about the structural parameters of the model. We also show that a simple method of moments with a panel of option prices provides good estimates of the parameters of the model. This lays the ground for an empirical assessment of this equilibrium model with S&P 500 option prices in terms of pricing errors.

Risk Aversion, Intertemporal Substitution, and Option Pricing

This paper develops a general stochastic framework and an equilibrium asset pricing model that make clear how attitudes towards intertemporal substitution and risk matter for option pricing. In particular, we show under which statistical conditions option pricing formulas are not preference-free, in other words, when preferences are not hidden in the stock and bond prices as they are in the standard Black and Scholes (BS) or Hull and White (HW) pricing formulas. The dependence of option prices on preference parameters comes from several instantaneous causality effects such as the so-called leverage effect. We also emphasize that the most standard asset pricing models (CAPM for the stock and BS or HW preference-free option pricing) are valid under the same stochastic setting (typically the absence of leverage effect), regardless of preference parameter values. Even though we propose a general non-preference-free option pricing formula, we always keep in mind that the BS formula is dominant both as a theoretical reference model and as a tool for practitioners. Another contribution of the paper is to characterize why the BS formula is such a benchmark. We show that, as soon as we are ready to accept a basic property of option prices, namely their homogeneity of degree one with respect to the pair formed by the underlying stock price and the strike price, the necessary statistical hypotheses for homogeneity provide BS-shaped option prices in equilibrium. This BS-shaped option-pricing formula allows us to derive interesting characterizations of the volatility smile, that is, the pattern of BS implicit volatilities as a function of the option moneyness. First, the asymmetry of the smile is shown to be equivalent to a particular form of asymmetry of the equivalent martingale measure. Second, this asymmetry appears precisely when there is either a premium on an instantaneous interest rate risk or on a generalized leverage effect or both, in other words, whenever the option pricing formula is not preference-free. Therefore, the main conclusion of our analysis for practitioners should be that an asymmetric smile is indicative of the relevance of preference parameters to price options.

La responsabilité de l'intermédiaire de marché et la protection du petit investisseur : à la recherche d'un certain équilibre

"Mémoire présenté à la Faculté des études supérieures en vue de l'obtention du grade de maîtrise, option droit des affaires"

The adoption of advanced feed-in tariffs in Ontario : a case of institutional layering

En mai 2009, l’Ontario a adopté la Loi sur l’énergie verte et devint ainsi la première juridiction en Amérique du Nord à promouvoir l’énergie renouvelable par le biais de tarifs de rachat garantis. En novembre 2010, dans son Plan énergétique à long terme, la province s’est engagée à déployer 10,700 MW en capacité de production d’énergie renouvelable non-hydroélectrique par 2018. Il s’agit de la cible de déploiement la plus élevée dans ce secteur au Canada. Les infrastructures de production et de distribution d’électricité comprennent des coûts d’installation élevés, une faible rotation des investissements et de longs cycles de vie, facteurs qui servent habituellement à ancrer les politiques énergétiques dans une dynamique de dépendance au sentier. Depuis le début des années 2000, cependant, l’Ontario a commencé à diverger de sa traditionnelle dépendance aux grandes centrales hydroélectriques, aux centrales à charbon et aux centrales nucléaires par une série de petits changements graduels qui feront grimper la part d’énergie renouvelable dans le mix énergétique provincial à 15% par 2018. Le but de ce mémoire est d’élucider le mécanisme de causalité qui a sous-tendu l’évolution graduelle de l’Ontario vers la promotion de l’énergie renouvelable par le biais de tarifs de rachat garantis et d’une cible de déploiement élevée. Ce mémoire applique la théorie du changement institutionnel graduel de Mahoney et Thelen au cas du développement de politiques d’énergie renouvelable en Ontario afin de mieux comprendre les causes, les modes et les effets du changement institutionnel. Nous découvrons que le contexte canadien de la politique énergétique favorise la sédimentation institutionnelle, c’est-à-dire un mode changement caractérisé par de petits gains favorisant l’énergie renouvelable. Ces gains s’accumulent pourtant en transformation politique importante. En Ontario, la mise sur pied d’une vaste coalition pour l’énergie renouvelable fut à l’origine du changement. Les premiers revendicateurs de politiques favorisant l’énergie renouvelable – les environnementalistes et les premières entreprises d’approvisionnement et de service en technologies d’énergie renouvelable – ont dû mettre sur pied un vaste réseau d’appui, représentant la quasi-totalité de la société ontarienne, pour faire avancer leur cause. Ce réseau a fait pression sur le gouvernement provincial et, en tant que front commun, a revendiqué l’énergie renouvelable non seulement comme solution aux changements climatiques, mais aussi comme solution à maints autres défis pressants de santé publique et de développement économique. La convergence favorable d’un nombre de facteurs contextuels a certes contribué à la réussite du réseau ontarien pour l’énergie renouvelable. Cependant, le fait que ce réseau ait trouvé des alliés au sein de l’exécutif du gouvernement provincial s’est révélé d’importance cruciale quant à l’obtention de politiques favorisant l’énergie renouvelable. Au Canada, les gouvernements provinciaux détiennent l’ultime droit de veto sur la politique énergétique. Ce n’est qu’en trouvant des alliés aux plus hauts échelons du gouvernement que le réseau ontarien pour l’énergie renouvelable a pu réussir.

Option pricing in market models driven by telegraph processes with jumps

Esta tesis está dividida en dos partes: en la primera parte se presentan y estudian los procesos telegráficos, los procesos de Poisson con compensador telegráfico y los procesos telegráficos con saltos. El estudio presentado en esta primera parte incluye el cálculo de las distribuciones de cada proceso, las medias y varianzas, así como las funciones generadoras de momentos entre otras propiedades. Utilizando estas propiedades en la segunda parte se estudian los modelos de valoración de opciones basados en procesos telegráficos con saltos. En esta parte se da una descripción de cómo calcular las medidas neutrales al riesgo, se encuentra la condición de no arbitraje en este tipo de modelos y por último se calcula el precio de las opciones Europeas de compra y venta.

Determinants of green building adoption

In this paper we investigate variations in the adoption of LEED-certified commercial buildings across 174 core-based statistical areas in the United States. Drawing upon a unique database and using a robust analytical framework, the determinants of the proportion LEED-certified space are modeled. We find that, despite high growth rates, LEED-certified stock accounts for a relatively small proportion of the total commercial stock. The average proportion is less than 1%. A further contribution of the paper is that our concentration measure avoids the biases associated with simple percentage measures that were used in previous studies of this topic. Strongest predictors of the proportion of LEED-certified commercial space in a local market are market size, educational attainment and economic growth. In terms of policy effectiveness, it is found that only a mandatory requirement to obtain LEED certification for new buildings has a significant positive effect on market penetration.

Effects of trade policy on technology adoption and investment

This paper studies the consequences of trade policy for the adoption of new technologies. It develops a dynamic international trade model with two sectors. Workers in manufacturing decide if new technologies are used, capital owners then choose investment. We analyze three different arrangements: free trade, tariffs, and quotas. In the model economy, free trade as well as tariffs guarantee that the most productive technology available will be used. In contrasL under a quota the most productive technology available will not be used at all times. Further, in the latter case investment and the capital stock are smaller than in the former one. Finally, there exists parameter values for which the computed difference in GDP is a factor of thirty.

Technology adoption and effects of transfers across locations

This paper develops a two-period model with heterogeneous agents to analyze the e¤ects of transfers across locations on convergence, growth and welfare. The model has two important features. First, locations are asymmetric as it is assumed that there are more specialized occupations in the more developed one. Second, the returns on the investment to acquire new technology depend positively on the level of each region’s knowledge and on the level of the world knowledge assumed to be available to all. In one hand, the poor region has a disadvantage as it has a lower stock of knowledge. On the other hand, it has the advantage of not having yet exploited a greater stock of useable knowledge available in the world. Hence, there are two possible cases. When the returns are greater in the poor region, we obtain the following results: (i) the rich location grows slower; (ii) the transfers to the poor location enhances the country’s growth rate; and (iii) there is a positive amount of transfers to the poor region that is welfare improving. When the returns are greater in the rich region, the …rst two results are reversed and transfers to the rich region are welfare improving. In both cases, the optimal amount of transfer increases with the level of income disparity across regions and is not dependent on the level of the country’s economic development (measured by its income per capita). Barriers to the adoption of new technology available in the world can constrain the convergence process as it harms in greater length the poor region. The results do not change whether migration is allowed or not.

Is Withdrawal from the European Union a Manageable Option? A Review of Economic and Legal Complexities. Bruges European Economic Policy (BEEP) Briefing 28/2013

Withdrawal from the EU is no more a taboo subject. However, the process by which it can happen is unclear and potentially complex. The purpose of this paper is to show that a withdrawing Member State will not only rid itself from the constraints and obligations of EU rules, but it will also have to re-invent many policies and institutions to fill the gap left by the non-application of EU rules. The paper examines closely the case of the UK and Scotland and concludes that outright exit is not the best option for a withdrawing Member State. The best, but possibly the least feasible, option is an intermediate arrangement falling between full membership and complete separation from the EU. The exact position between the two extremes can only be determined by the exit negotiations and will be influenced by the political climate that will prevail at that time. While the final destination of an acceding country is well known [full adoption of the obligations of EU membership], the exiting country will be embarking on a trip with unknown destination and full of surprises.