An Efficient Generalized Discrete Time Approach To Poisson Gaussian Bond Option Pricing In The Health Jarrow Morton Model
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| Author | : Sanjiv Ranjan Das |
| Publisher | : |
| Total Pages | : 60 |
| Release | : 1997 |
| Genre | : Bonds |
| ISBN | : |
Term structure models employing Poisson-Gaussian processes may be used to accommodate the observed skewness and kurtosis of interest rates. This paper extends the discrete-time, pure-Gaussian version of the Heath-Jarrow-Morton model to the pricing" of American-type bond options when the underlying term structure of interest rates follows a Poisson-Gaussian process. The Poisson-Gaussian process is specified using a hexanomial tree (six nodes emanating from each node), and the tree is shown to be recombining. The scheme is parsimonious and convergent. This model extends the class of HJM models by (i) introducing a more generalized volatility specification than has been used so far, and (ii) inducting jumps, yet retaining lattice recombination, thus making the model useful for practical applications
| Author | : Sanjiv Ranjan Das |
| Publisher | : |
| Total Pages | : 42 |
| Release | : 1997 |
| Genre | : |
| ISBN | : |
| Author | : Sanjiv Ranjan Das |
| Publisher | : |
| Total Pages | : |
| Release | : 1997 |
| Genre | : |
| ISBN | : |
| Author | : Gunter H Meyer |
| Publisher | : World Scientific |
| Total Pages | : 286 |
| Release | : 2014-11-27 |
| Genre | : Business & Economics |
| ISBN | : 9814619698 |
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.
| Author | : Aaron A. Stinnett |
| Publisher | : |
| Total Pages | : 48 |
| Release | : 1998 |
| Genre | : Cost effectiveness |
| ISBN | : |
In recent years, considerable attention has been devoted to the development of statistical methods for the analysis of uncertainty in cost-effectiveness analysis, with a focus on situations in which the analyst has patient-level data on the costs and health effects of alternative interventions. To date, discussions have focused almost exclusively on addressing the practical challenges involved in estimating confidence intervals for CE ratios. However, the general approach of using confidence intervals to convey information about uncertainty around CE ratio estimates suffers from theoretical limitations that render it inappropriate in many situations. We present an alternative framework for analyzing uncertainty in the economic evaluation of health interventions (termed the net health benefits' approach) that is more broadly applicable and that avoids some problems of prior methods. This approach offers several practical and theoretical advantages over the analysis of CE ratios, is straightforward to apply, and highlights some important principles in the theoretical underpinnings of CEA.
| Author | : Christophe Chorro |
| Publisher | : Springer |
| Total Pages | : 202 |
| Release | : 2014-12-04 |
| Genre | : Business & Economics |
| ISBN | : 3662450372 |
The current world financial scene indicates at an intertwined and interdependent relationship between financial market activity and economic health. This book explains how the economic messages delivered by the dynamic evolution of financial asset returns are strongly related to option prices. The Black Scholes framework is introduced and by underlining its shortcomings, an alternative approach is presented that has emerged over the past ten years of academic research, an approach that is much more grounded on a realistic statistical analysis of data rather than on ad hoc tractable continuous time option pricing models. The reader then learns what it takes to understand and implement these option pricing models based on time series analysis in a self-contained way. The discussion covers modeling choices available to the quantitative analyst, as well as the tools to decide upon a particular model based on the historical datasets of financial returns. The reader is then guided into numerical deduction of option prices from these models and illustrations with real examples are used to reflect the accuracy of the approach using datasets of options on equity indices.
| Author | : John Mullahy |
| Publisher | : |
| Total Pages | : 80 |
| Release | : 1998 |
| Genre | : Medical economics |
| ISBN | : |
In health economics applications involving outcomes (y) and covariates (x), it is often the case that the central inferential problems of interest involve E[y|x] and its associated partial effects or elasticities. Many such outcomes have two fundamental statistical properties: yò0; and the outcome y=0 is observed with sufficient frequency that the zeros cannot be ignored econometrically. Common approaches to estimation in such instances include Tobit, selection, and two-part models. This paper (1) describes circumstances where the standard two-part model with homoskedastic retransformation will fail to provide consistent inferences about important policy parameters; and (2) demonstrates some alternative approaches that are likely to prove helpful in applications.
| Author | : Svetlana Boyarchenko |
| Publisher | : World Scientific |
| Total Pages | : 421 |
| Release | : 2002-03-28 |
| Genre | : Business & Economics |
| ISBN | : 9814488615 |
This book introduces an analytically tractable and computationally effective class of non-Gaussian models for shocks (regular Lévy processes of the exponential type) and related analytical methods similar to the initial Merton-Black-Scholes approach, which the authors call the Merton-Black-Scholes theory.The authors have chosen applications interesting for financial engineers and specialists in financial economics, real options, and partial differential equations (especially pseudodifferential operators); specialists in stochastic processes will benefit from the use of the pseudodifferential operators technique in non-Gaussian situations. The authors also consider discrete time analogues of perpetual American options and the problem of the optimal choice of capital, and outline several possible directions in which the methods of the book can be developed further.Taking account of a diverse audience, the book has been written in such a way that it is simple at the beginning and more technical in further chapters, so that it is accessible to graduate students in relevant areas and mathematicians without prior knowledge of finance or economics.
| Author | : Jian Chen |
| Publisher | : Springer |
| Total Pages | : 163 |
| Release | : 2018-04-10 |
| Genre | : Business & Economics |
| ISBN | : 9811074283 |
This book mainly addresses the general equilibrium asset pricing method in two aspects: option pricing and variance risk premium. First, volatility smile and smirk is the famous puzzle in option pricing. Different from no arbitrage method, this book applies the general equilibrium approach in explaining the puzzle. In the presence of jump, investors impose more weights on the jump risk than the volatility risk, and as a result, investors require more jump risk premium which generates a pronounced volatility smirk. Second, based on the general equilibrium framework, this book proposes variance risk premium and empirically tests its predictive power for international stock market returns.
| Author | : Gunter H. Meyer |
| Publisher | : World Scientific Publishing Company Incorporated |
| Total Pages | : 280 |
| Release | : 2014-11-27 |
| Genre | : Business & Economics |
| ISBN | : 9789814619677 |
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.
