Multigrid for American option pricing with stochastic volatility

The paper describes an implicit finite difference approach to the pricing of American options on assets with a stochastic volatility. A multigrid procedure is described for the fast iterative solution of the discrete linear complementarity problems that result. The accuracy and performance of this approach is improved considerably by a strike-price related analytic transformation of asset prices and adaptive time-stepping.

A distributed algorithm for European options with nonlinear volatility

A distributed algorithm is developed to solve nonlinear Black-Scholes equations in the hedging of portfolios. The algorithm is based on an approximate inverse Laplace transform and is particularly suitable for problems that do not require detailed knowledge of each intermediate time steps.

Numerical solutions of certain nonlinear models in European options on a distributed computing environment

Financial modelling in the area of option pricing involves the understanding of the correlations between asset and movements of buy/sell in order to reduce risk in investment. Such activities depend on financial analysis tools being available to the trader with which he can make rapid and systematic evaluation of buy/sell contracts. In turn, analysis tools rely on fast numerical algorithms for the solution of financial mathematical models. There are many different financial activities apart from shares buy/sell activities. The main aim of this chapter is to discuss a distributed algorithm for the numerical solution of a European option. Both linear and non-linear cases are considered. The algorithm is based on the concept of the Laplace transform and its numerical inverse. The scalability of the algorithm is examined. Numerical tests are used to demonstrate the effectiveness of the algorithm for financial analysis. Time dependent functions for volatility and interest rates are also discussed. Applications of the algorithm to non-linear Black-Scholes equation where the volatility and the interest rate are functions of the option value are included. Some qualitative results of the convergence behaviour of the algorithm is examined. This chapter also examines the various computational issues of the Laplace transformation method in terms of distributed computing. The idea of using a two-level temporal mesh in order to achieve distributed computation along the temporal axis is introduced. Finally, the chapter ends with some conclusions.

Property development: Appraisal and finance

The book provides an overview to the context of property development so that academics, students and professionals can examine the stages of development in the process - from initial consideration, to site finding, general appraisal, valuation, funding, construction and marketing, with a focus on two key areas of the process: appraisal and finance. The Second Edition reflects the developing research interests of the authors by putting property development and appraisal in a wider economic environment and the appraisal process was treated in a more holistic manner. Secondly, more case studies were included and the chapters framed with clear objectives key terms and summaries. Thirdly, this edition examined in more detail the property development and appraisal process in relation to sustainability and other key issues such as climate change, the changing financial environment, planning design and global influences. Research on appraisal techniques is incorporated in chapters 3-5. Research on property finance based on the original Property Lending Surveys carried out by the author and incorporated in other texts (Property Finance, 1994, 2003) is included in chapters 6-8. Research on property companies and their capital structures in included in chapter 8. Analysis of the relationship between sustainability and design is included in chapter 9. This is a key text in the area of property development, sales of the First Edition and Second Edition have been in the thousands globally to academics, students and practitioners.

Finance for water and sanitation as a public service

Drawing on empirical evidence gathered through the PSIRU database, this contribution aims at addressing the potential of public finance to enhance the provision of water supply and sanitation as a public service. It highlights the problems associated with (and the disappointing results obtained from) resort to Private Sector Participation and private finance, both historically and in the last 15-20 years, in developed and developing countries. It also addresses the advantages of using public finance as a more cost-effective and equitable instrument to achieve developmental objectives such as the expansion of service coverage and development of water and sanitation infrastructure. The potential of public operations in maximising developmental impact from the social, economic and environmental points of view is then explored referring to specific examples from a variety of countries and regions. These include the in-house restructuring of public operations to enhance transparency, accountability and effectiveness, as well as the use of Public-Public Partnerships (PUPs) to build capacity. Attention is devoted to the specific financial requirements of expanding sewerage services at global level to achieve MDGs or broader developmental goals. These requirements are revisited in light of a regional breakdown of coverage gaps, available resources and development aid flows. These findings challenge the established view among international and bilateral agencies that expanding sewerage services in developing countries is excessively costly and should be abandoned as a priority because unaffordable. This contribution draws on a number of PSIRU Reports, and particularly the following. - http://www.psiru.org/reports/2008-03-W-sewers.pdf - http://boell-latinoamerica.org/download_es/agua08_privatizacion_LA_2007.pdf - http://boell-latinoamerica.org/download_es/agua08_agua_un_servicio_publico.pdf - http://www.psiru.org/reports/2006-03-W-investment.pdf All PSIRU Reports are accessible at http://www.psiru.org/publicationsindex.asp.

Local public finance in Central and Eastern Europe: assessing the first decade

[Taken from book jacket] This book explores the system of financing local governments in selected countries of Central and Eastern Europe. Using evidence from the last two decades, the authors, experts on their particular countries, describe the development of the current local government finance system in each nation, and the major challenges and policy options they face. The contributions in this book provide comprehensive coverage of a transitional Europe that encompasses both modern local public finance theory and specific applications in the target countries.

More public rescues for more private finance failures - a critique of the EC Communication on PPPs

A critique of the EC Communication on PPPs, challenging the scale of state aid offered to PPPs, the role of PPPs in the economic recovery strategy for the EU, and drawing attention to the damage done to public authorities by 'innovative' financing mechanisms.