A transform approach to compute prices and Greeks of barrier options driven by a class of Lévy processes

In this paper we propose a transform method to compute the prices and Greeks of barrier options driven by a class of Lévy processes. We derive analytical expressions for the Laplace transforms in time of the prices and sensitivities of single barrier options in an exponential Lévy model with hyper-exponential jumps. Inversion of these single Laplace transforms yields rapid, accurate results. These results are employed to construct an approximation of the prices and sensitivities of barrier options in exponential generalized hyper-exponential Lévy models. The latter class includes many of the Lévy models employed in quantitative finance such as the variance gamma (VG), KoBoL, generalized hyperbolic, and the normal inverse Gaussian (NIG) models. Convergence of the approximating prices and sensitivities is proved. To provide a numerical illustration, this transform approach is compared with Monte Carlo simulation in cases where the driving process is a VG and a NIG Lévy process. Parameters are calibrated to Stoxx50E call options.     

MCMC ESTIMATION OF LÉVY JUMP MODELS USING STOCK AND OPTION PRICES

We examine the performances of several popular Lévy jump models and some of the most sophisticated affine jump‐diffusion models in capturing the joint dynamics of stock and option prices. We develop efficient Markov chain Monte Carlo methods for estimating parameters and latent volatility/jump variables of the Lévy jump models using stock and option prices. We show that models with infinite‐activity Lévy jumps in returns significantly outperform affine jump‐diffusion models with compound Poisson jumps in returns and volatility in capturing both the physical and risk‐neutral dynamics of the S&P 500 index. We also find that the variance gamma model of Madan, Carr, and Chang with stochastic volatility has the best performance among all the models we consider.     

A methodology for the choice of the best fitting continuous-time stochastic models of crude oil price

The crude oil price is generally considered as the fundamental factor in the valuation of undeveloped reserves but it is not the unique one. Undeveloped field value also depends on the uncertainty relating to the convenience yield and the risk-free interest rate. The purpose of this paper is to decide on the best continuous-time stochastic models for these risk factors. The Generalized Method of Moments and the Maximum Likelihood Estimation are implemented to fit the parameters of continuous-time stochastic processes. The results of unit root tests without breaks reveal a mean reversion in convenience yield series. Multiple structural change tests show that the risk-free interest rate can be considered constant. The simulation of continuous-time stochastic processes and the mean error between the simulated prices and the market ones show that the Geometric Brownian Motion with jumps is the best model for the oil price compared to the other commonly used processes.     

Economic Process Management and Its Application on Bank Industry

A renewal equation approach is proposed to derive the multiple special-cause cost model for a system with two dependent subprocesses. The economic individual X control chart and simple cause-selecting control chart are thus constructed to monitor the two subprocesses. They may be used to maintain the whole process with minimum cost and effectively distinguish which component of the subprocesses is out of control. The economic design parameters of these two control charts can be determined by minimizing the cost model using a simple grid search method. An example of its application on controlling service quality in the bank industry is given to illustrate the design procedure and its application. It shows that these control charts may be used to control not only manufacturing dependent subprocesses but also service organisations with dependent subprocesses.     

Applications of parks management information systems

The paper presents a conceptual model of an integrated management information system for municipal parks maintenance and operations. Research efforts in management information systems are presented in three categories: Business Research, Federally Sponsored Research, and Park and Recreation Systems Research. A case is made for further empirical research, the development of normative models, and evaluative criteria in an attempt to realize the full potential of electronic data processing in parks and recreation.     

Interaction processes in long-term relationships in the metal mining industry: Longitudinal case studies of capital equipment buying

This study investigates the development of the relationships between customers and suppliers of capital equipment in the mining industry. The interorganizational relationships were characterized along three sets of variables: context, task characteristics, and interaction processes. Longitudinal case study research was conducted, and four long-term relationships in the Portuguese metal mining industry were investigated. The domesticated nature of the market, compatibility of partners' objectives and strategies, and the choice of a direct channel are significant driving forces for the establishment and development of these relationships. Well-driven interaction processes were found determinant to relationship development and outcomes. Particularly, the extent of supplier-based adaptations and scope of after-sales agreements are core to relationship development and continuity.     

Time Changes for Lévy Processes

The goal of this paper is to consider pure jump Lévy processes of finite variation with an infinite arrival rate of jumps as models for the logarithm of asset prices. These processes may be written as time-changed Brownian motion. We exhibit the explicit time change for each of a wide class of Lévy processes and show that the time change is a weighted price move measure of time. Additionally, we present a number of Lévy processes that are analytically tractable, in their characteristic functions and Lévy densities, and hence are relevant for option pricing.     

Insurance premiums under demand constraints

Abstract

An alternative approach to the variance principle of premium determination is explored. The approach rationalises the principle in terms of an economic theory and formalises the notion that loadings in addition to the ‘fair’ premium are related to competition and expenses.     

Towards a geography of tourism

This paper traces the development of geographical interest in tourism during the past half century and examines the range and scope of the geography of tourism. The available literature is reviewed and suggestions are made regarding possible research aveneus and theoretical developments. Six major areas of interest are identified: spatial aspects of supply, spatial aspects of demand, the geography of resorts, patterns of movements and flows, the impact of tourism, and models of tourist space. Through an emphasis on spatial interaction an attempt is made to provide some cohesion and synthesis for this body of knowledge which constitutes the basis of the geography of tourism.     

Influence Allocation Methods in Group Decision Support Systems

Influence allocation processes are voting and opinion aggregating methods that allow members to distribute some or all of their decision making influence to others in the group in order to exploit not only the group's knowledge of the alternatives, but its knowledge of itself. Only with the common use of group decision support systems (GDSS) has their use become practical. In this paper we reconsider SPAN, an influence allocation process introduced by MacKinnon (1966a). Experimental comparison shows SPAN to be significantly better at selecting a correct option from a set of options than two common voting methods. An alternative influence allocation process that we call RCON (Rational Consensus), is based on a weighting method proposed by DeGroot (1974) and has been explicated as a normative standard for combining opinion by Lehrer and Wagner (1981). The judgmental inputs to SPAN would appear to be logically related to those for RCON. Submitting the SPAN inputs from the experiment, transformed in this logical way, to the RCON process results in somewhat better performance than with SPAN. However, evidence indicated that the two methods are conceptually and psychologically sufficiently different that an experimental comparison is needed between them.