Download or read book On Convergence of Numerical Methods for Pricing Convertible Bonds written by Dongyi Li and published by . This book was released on 2007 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis two frameworks are considered to value convertible bonds with credit risk: the TF model (Tsiveriotis and Fernandes) and the AFV model (Ayache, Forsyth and Vetzal). Both models are associated with a pair of coupled partial differential equations (PDEs) with free boundary constraints. In practice, the projected overrelaxation method and the penalty method are widely used to solve such free-boundary value problems, and the Crank-Nicolson time-stepping scheme is adopted as the underlying discretization method to achieve quadratic precision. However, due to the complexity of the PDEs in these two models and discontinuities in practice present in the boundary conditions, only linear convergence is observed in many cases. The objective of this thesis is to investigate the difficulties related to convergence and stability when solving these coupled PDEs with the Crank-Nicolson scheme, and to suggest some modifications of the basic schemes to improve stability and restore quadratic convergence.

Download or read book The Handbook of Convertible Bonds written by Jan De Spiegeleer and published by John Wiley & Sons. This book was released on 2011-07-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a complete guide to the pricing and risk management of convertible bond portfolios. Convertible bonds can be complex because they have both equity and debt like features and new market entrants will usually find that they have either a knowledge of fixed income mathematics or of equity derivatives and therefore have no idea how to incorporate credit and equity together into their existing pricing tools. Part I of the book covers the impact that the 2008 credit crunch has had on the markets, it then shows how to build up a convertible bond and introduces the reader to the traditional convertible vocabulary of yield to put, premium, conversion ratio, delta, gamma, vega and parity. The market of stock borrowing and lending will also be covered in detail. Using an intuitive approach based on the Jensen inequality, the authors will also show the advantages of using a hybrid to add value - pre 2008, many investors labelled convertible bonds as 'investing with no downside', there are of course plenty of 2008 examples to prove that they were wrong. The authors then go onto give a complete explanation of the different features that can be embedded in convertible bond. Part II shows readers how to price convertibles. It covers the different parameters used in valuation models: credit spreads, volatility, interest rates and borrow fees and Maturity. Part III covers investment strategies for equity, fixed income and hedge fund investors and includes dynamic hedging and convertible arbitrage. Part IV explains the all important risk management part of the process in detail. This is a highly practical book, all products priced are real world examples and numerical examples are not limited to hypothetical convertibles. It is a must read for anyone wanting to safely get into this highly liquid, high return market.

Download or read book Convertible Securities written by Montgomery Rollins and published by . This book was released on 1908 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Valuation of Convertible Bonds when Investors Act Strategically written by Christian Koziol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Christian Koziol shows that various conversion strategies for convertible bonds can be optimal which result in different values for stocks and convertible bonds. A comparative static analysis examines the differences between the properties of the optimal conversion strategies and between the asset values for three conversion variants.

Download or read book Convertible Bond Valuation and Pricing written by Marc A. Shivers and published by . This book was released on 2003 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Pricing Convertible Bonds with Dividend Protection Subject to Credit Risk Using a Numerical PDE Approach written by Qingkai Mo and published by . This book was released on 2006 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: We develop a pricing model for convertible bonds with dividend protection subject to credit risk by extending the models developed by Tsiveriotis and Fernandes (TF), and by Ayache, Forsyth and Vetzal (AFV). We consider two techniques to incorporate the dividend protection feature: Conversion Ratio Adjustment and Dividend Pass-Thru. We apply finite difference methods to discretize the PDEs associated with our models, and study the Projected Successive Over-Relaxation and penalty methods to handle the free boundaries. We compare these two methods in terms of convergence rate, number of iterations per time step and computation time for pricing convertible bonds without dividends. Finally we apply the penalty method, the better of the two methods, to solve the systems arising from our models for convertible bonds with dividend protection. We examine the convergence rates and discuss the difference between the results from the extended TF and AFV models, with both dividend protection techniques.

Download or read book The International Handbook of Convertible Securities written by Thomas C. Noddings and published by Taylor & Francis. This book was released on 2001 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.

Download or read book Numerical Techniques for Convertible Bond Pricing and a Graph Theoretic Approach to Contingent Claims Analysis written by Robert Charles McAnally and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Time discrete Method Of Lines For Options And Bonds The A Pde Approach written by Gunter H Meyer and published by World Scientific. This book was released on 2014-11-27 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few financial mathematical books have discussed mathematically acceptable boundary conditions for the degenerate diffusion equations in finance. In The Time-Discrete Method of Lines for Options and Bonds, Gunter H Meyer examines PDE models for financial derivatives and shows where the Fichera theory requires the pricing equation at degenerate boundary points, and what modifications of it lead to acceptable tangential boundary conditions at non-degenerate points on computational boundaries when no financial data are available.Extensive numerical simulations are carried out with the method of lines to examine the influence of the finite computational domain and of the chosen boundary conditions on option and bond prices in one and two dimensions, reflecting multiple assets, stochastic volatility, jump diffusion and uncertain parameters. Special emphasis is given to early exercise boundaries, prices and their derivatives near expiration. Detailed graphs and tables are included which may serve as benchmark data for solutions found with competing numerical methods.

Download or read book The Valuation of Convertible Bonds Classic Reprint written by Otto H. Poensgen and published by . This book was released on 2015-08-05 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Valuation of Convertible Bonds Convertible Bonds are bonds that are convertible into another security at the option of the holder subject to conditions specified in the indenture, For our paper we will restrict the term 'convertible' to mean exchangeable for 'the common stock of the issuing corporation.' The restriction is not a stringent one: the author in examining publicly traded bonds issued between 1948 and 1963 by companies that are traded on an organized stock exchange (or over the counter) found no bonds which were excluded by that definition. The vast majority of nation-wide traded convertible bonds is not only unsecured, but even subordinated to prior or even after-acquired debt. Deducing from cum hoc to ergo propter hoc this has led many writers to state or hypothesize that one of the reasons, if not the principal one, to attach to the bond the convertibility feature was the necessity to have a sweetener make an otherwise unpalatable instrument acceptable to the investor. The conversion price indicates how many dollars of face value must be given up at conversion for each common share. Occasionally, we find a conversion ratio instead, stating into how many shares one debenture of $1,000. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Download or read book Valuing Convertible Bonds Under the Assumption of Stochastic Interest Rates written by Peter Carayannopoulos and published by . This book was released on 1992 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Analytic Method Pricing Convertible Bonds written by Binghua Huang and published by . This book was released on 2015 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: We develop analytic method using equivalent path decomposition for convertible bonds (CBs) with call and put provision. Since CBs embedded options are strictly path-dependent, equivalent path decomposition can clearly identify the risk exposure, and completely replicate the payoff features of CBs. Compared to simulation methods and lattice-based numerical methods, our method provides ordinary investors with an effective tool to analyze the effects and interactions of the different provisions contained in CBs. Finally we extend to pricing CBs with call protection.

Download or read book An Analysis of the Nature of Convertible Bonds written by Gary Ralph Stone and published by . This book was released on 1967 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Handbook of Hybrid Instruments written by Israel Nelken and published by John Wiley & Sons. This book was released on 2000-07-26 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: An indispensable tool to steer readers thought the complex maze of hybrid instruments! Hybrid instruments - essentially bonds with an equity component - are found in a multitude of guises. This generic heading encompasses a seemingly endless array of financial instruments, including convertible bonds, mandatory convertibles, reverse convertibles, preferred shares, ELKS, DECS and Lyons. Within each one of these instruments are found a wide range of variations and features. These include reset, negative pledge, screw and forced conversion clauses, as well as step up coupons, call schedules, call options with soft and hard protection etc. The range of possibilities can seem bewildering, but it is this very flexibility which proves a huge attraction for investors, issuers and financial institutions. On the sell side companies issue these securities and corporate service departments advise on the type of options to include in them. On the buy side, investment managers seek to build portfolios with limited risk exposure using these securities and hedge funds utilise arbitrage opportunities between the convertible bond and the common share. The opportunities are endless but the seemingly labyrinthine complexities can prove daunting. The Handbook of Hybrid Instruments helps steer a clear path through the maze. Izzy Nelken has drawn together a team of experts to provide in-depth analysis of many of the key issues that both sellers and buyers require in order to operate effectively and profitably. A general introduction is followed by specific information on key clauses and variations, valuation methods, the impact on a firm's value following the public issuance of convertibles, details on when an issuer should call a convertible and the impact of these provisions on the price, the difficult requirement of input data to make sense of the models, indexes and reset convertibles. Finally, a highly useful glossary is provided of all the key terms used in this field. An analytical CD is also provided with the book, containing sample software of ConvB++. ConvB++ combines complex state of the art models with a simple, user friendly interface to assess fair values prices and to hedge parameters of hybrid instruments. The Handbook of Hybrid Instruments is an indispensable explanatory and analytical tool for all professionals looking for the latest thinking on convertibles from some of the world's leading experts.

Download or read book A Simulation based Pricing Method for Convertible Bonds written by Axel Kind and published by . This book was released on 2003 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Empirical Examination of the Valuation of Convertible Bonds with a Numerical Solution of the Options Formula written by Jerry W. Humble and published by . This book was released on 1978 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Handbook of Hybrid Securities written by Jan De Spiegeleer and published by John Wiley & Sons. This book was released on 2014-08-06 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing a revolutionary new quantitative approach to hybrid securities valuation and risk management To an equity trader they are shares. For the trader at the fixed income desk, they are bonds (after all, they pay coupons, so what's the problem?). They are hybrid securities. Neither equity nor debt, they possess characteristics of both, and carry unique risks that cannot be ignored, but are often woefully misunderstood. The first and only book of its kind, The Handbook of Hybrid Securities dispels the many myths and misconceptions about hybrid securities and arms you with a quantitative, practical approach to dealing with them from a valuation and risk management point of view. Describes a unique, quantitative approach to hybrid valuation and risk management that uses new structural and multi-factor models Provides strategies for the full range of hybrid asset classes, including convertible bonds, preferreds, trust preferreds, contingent convertibles, bonds labeled "additional Tier 1," and more Offers an expert review of current regulatory climate regarding hybrids, globally, and explores likely political developments and their potential impact on the hybrid market The most up-to-date, in-depth book on the subject, this is a valuable working resource for traders, analysts and risk managers, and a indispensable reference for regulators