Pricing Stock Options Under Stochastic Volatility and Interest Rates with Efficient Method of Moments Estimation

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ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (247 download)

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Book Synopsis Pricing Stock Options Under Stochastic Volatility and Interest Rates with Efficient Method of Moments Estimation by : George J. Jiang

Download or read book Pricing Stock Options Under Stochastic Volatility and Interest Rates with Efficient Method of Moments Estimation written by George J. Jiang and published by . This book was released on 1999 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pricing Stock Options Under Stochastic Volatility and Stochastic Interest Rates with Efficient Method of Moments Estimation

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ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (535 download)

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Book Synopsis Pricing Stock Options Under Stochastic Volatility and Stochastic Interest Rates with Efficient Method of Moments Estimation by : George J. Jiang

Download or read book Pricing Stock Options Under Stochastic Volatility and Stochastic Interest Rates with Efficient Method of Moments Estimation written by George J. Jiang and published by . This book was released on 1998 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pricing Stock Options Under Stockastic Volatility and Interest Rates with Efficient Method of Moments Estimation

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (593 download)

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Book Synopsis Pricing Stock Options Under Stockastic Volatility and Interest Rates with Efficient Method of Moments Estimation by : George J. Jiang

Download or read book Pricing Stock Options Under Stockastic Volatility and Interest Rates with Efficient Method of Moments Estimation written by George J. Jiang and published by . This book was released on 1999* with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Efficient Lattice Methods for Pricing Interest Rate Options and Other Derivative Securities Under Stochastic Volatility

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (593 download)

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Book Synopsis Efficient Lattice Methods for Pricing Interest Rate Options and Other Derivative Securities Under Stochastic Volatility by : Andrew Man Kit Wu

Download or read book Efficient Lattice Methods for Pricing Interest Rate Options and Other Derivative Securities Under Stochastic Volatility written by Andrew Man Kit Wu and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Empirical Analysis of Stock Option Valuation Methodologies in Closely Held U S Corporations

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Publisher : Universal-Publishers
ISBN 13 : 1599427192
Total Pages : 126 pages
Book Rating : 4.5/5 (994 download)

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Book Synopsis An Empirical Analysis of Stock Option Valuation Methodologies in Closely Held U S Corporations by : Mike Fred Balm

Download or read book An Empirical Analysis of Stock Option Valuation Methodologies in Closely Held U S Corporations written by Mike Fred Balm and published by Universal-Publishers. This book was released on 2009-05 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: The introduction of fair value accounting for stock options has required private companies to apply stock option valuation methodologies that were designed to be applied to their public counterparts. The two recommended methodologies, the Black-Scholes formula and the Binomial Lattice model, require the valuator to provide an input for estimated volatility; for private companies that do not have a trading history there is limited guidance regarding the determination of volatility, which results in diverging and incorrect estimates. Based on a sample representing 178 companies who filed and completed an IPO in 2006, this study analyzed the accuracy of the recommended valuation methodologies when applied to closely held US corporations. The study outlines the importance of volatility to the value of the options and proceeds to document, by comparing the private (pre-IPO) and public (post-IPO) data, that in 51% of the cases the volatility was either over- or under-stated by more than 10%. In addition, the study shows a bias towards overstatement in the less than 10% variance group. The study further demonstrates that a marginal change in volatility has a significant impact on the company's total stock-based compensation expense and consequently misstates earnings.

Complex Systems in Finance and Econometrics

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Publisher : Springer Science & Business Media
ISBN 13 : 1441977007
Total Pages : 919 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Complex Systems in Finance and Econometrics by : Robert A. Meyers

Download or read book Complex Systems in Finance and Econometrics written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2010-11-03 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finance, Econometrics and System Dynamics presents an overview of the concepts and tools for analyzing complex systems in a wide range of fields. The text integrates complexity with deterministic equations and concepts from real world examples, and appeals to a broad audience.

Stochastic Volatility

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Publisher : OUP Oxford
ISBN 13 : 0191531421
Total Pages : 536 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Stochastic Volatility by : Neil Shephard

Download or read book Stochastic Volatility written by Neil Shephard and published by OUP Oxford. This book was released on 2005-03-10 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic volatility is the main concept used in the fields of financial economics and mathematical finance to deal with time-varying volatility in financial markets. This book brings together some of the main papers that have influenced the field of the econometrics of stochastic volatility, and shows that the development of this subject has been highly multidisciplinary, with results drawn from financial economics, probability theory, and econometrics, blending to produce methods and models that have aided our understanding of the realistic pricing of options, efficient asset allocation, and accurate risk assessment. A lengthy introduction by the editor connects the papers with the literature.

Forecasting Volatility in the Financial Markets

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Publisher : Elsevier
ISBN 13 : 0080494978
Total Pages : 417 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Forecasting Volatility in the Financial Markets by : Stephen Satchell

Download or read book Forecasting Volatility in the Financial Markets written by Stephen Satchell and published by Elsevier. This book was released on 2002-08-22 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Forecasting Volatility in the Financial Markets' assumes that the reader has a firm grounding in the key principles and methods of understanding volatility measurement and builds on that knowledge to detail cutting edge modelling and forecasting techniques. It then uses a technical survey to explain the different ways to measure risk and define the different models of volatility and return.The editors have brought together a set of contributors that give the reader a firm grounding in relevant theory and research and an insight into the cutting edge techniques applied in this field of the financial markets.This book is of particular relevance to anyone who wants to understand dynamic areas of the financial markets.* Traders will profit by learning to arbitrage opportunities and modify their strategies to account for volatility.* Investment managers will be able to enhance their asset allocation strategies with an improved understanding of likely risks and returns.* Risk managers will understand how to improve their measurement systems and forecasts, enhancing their risk management models and controls.* Derivative specialists will gain an in-depth understanding of volatility that they can use to improve their pricing models.* Students and academics will find the collection of papers an invaluable overview of this field. This book is of particular relevance to those wanting to understand the dynamic areas of volatility modeling and forecasting of the financial marketsProvides the latest research and techniques for Traders, Investment Managers, Risk Managers and Derivative Specialists wishing to manage their downside risk exposure Current research on the key forecasting methods to use in risk management, including two new chapters

Computational Finance 1999

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Publisher : MIT Press
ISBN 13 : 9780262511070
Total Pages : 744 pages
Book Rating : 4.5/5 (11 download)

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Book Synopsis Computational Finance 1999 by : Yaser S. Abu-Mostafa

Download or read book Computational Finance 1999 written by Yaser S. Abu-Mostafa and published by MIT Press. This book was released on 2000 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the techniques of data mining, knowledge discovery, genetic algorithms, neural networks, bootstrapping, machine learning, and Monte Carlo simulation. Computational finance, an exciting new cross-disciplinary research area, draws extensively on the tools and techniques of computer science, statistics, information systems, and financial economics. This book covers the techniques of data mining, knowledge discovery, genetic algorithms, neural networks, bootstrapping, machine learning, and Monte Carlo simulation. These methods are applied to a wide range of problems in finance, including risk management, asset allocation, style analysis, dynamic trading and hedging, forecasting, and option pricing. The book is based on the sixth annual international conference Computational Finance 1999, held at New York University's Stern School of Business.

Jumps and Stochastic Volatility

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Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Jumps and Stochastic Volatility by : David S. Bates

Download or read book Jumps and Stochastic Volatility written by David S. Bates and published by . This book was released on 1993 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: An efficient method is developed for pricing American options on combination stochastic volatility/jump-diffusion processes when jump risk and volatility risk are systematic and nondiversifiable, thereby nesting two major option pricing models. The parameters implicit in PHLX-traded Deutschemark options of the stochastic volatility/jump- diffusion model and various submodels are estimated over 1984-91, and are tested for consistency with the $/DM futures process and the implicit volatility sample path. The parameters implicit in options are found to be inconsistent with the time series properties of implicit volatilities, but qualitatively consistent with log- differenced futures prices. No economically significant implicit expectations of exchange rate jumps were found in full-sample estimation, which is consistent with the reduced leptokurtosis of $/DM weekly exchange rate changes over 1984-91 relative to earlier periods.

Option Valuation Under Stochastic Volatility

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Publisher :
ISBN 13 :
Total Pages : 372 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Option Valuation Under Stochastic Volatility by : Alan L. Lewis

Download or read book Option Valuation Under Stochastic Volatility written by Alan L. Lewis and published by . This book was released on 2000 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic volatility and the pricing of financial derivatives

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Publisher : Rozenberg Publishers
ISBN 13 : 9051705778
Total Pages : 358 pages
Book Rating : 4.0/5 (517 download)

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Book Synopsis Stochastic volatility and the pricing of financial derivatives by : Antoine Petrus Cornelius van der Ploeg

Download or read book Stochastic volatility and the pricing of financial derivatives written by Antoine Petrus Cornelius van der Ploeg and published by Rozenberg Publishers. This book was released on 2006 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Evaluation of American Compound Option Prices under Stochastic Volatility Using the Sparse Grid Approach

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Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis The Evaluation of American Compound Option Prices under Stochastic Volatility Using the Sparse Grid Approach by : Carl Chiarella

Download or read book The Evaluation of American Compound Option Prices under Stochastic Volatility Using the Sparse Grid Approach written by Carl Chiarella and published by . This book was released on 2009 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compound option (the mother option) gives the holder the right, but not obligation to buy (long) or sell (short) the underlying option (the daughter option). In this paper, we demonstrate a partial differential equation (PDE) approach to pricing American-type compound options where the underlying dynamics follow Heston's stochastic volatility model. This price is formulated as the solution to a two-pass free boundary PDE problem. A modified sparse grid approach is implemented to solve the PDEs, which is shown to be accurate and efficient compared with the results from Monte Carlo simulation combined with the Method of Lines.

Generic Pricing of FX, Inflation and Stock Options Under Stochastic Interest Rates and Stochastic Volatility

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Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Generic Pricing of FX, Inflation and Stock Options Under Stochastic Interest Rates and Stochastic Volatility by : Alexander van Haastrecht

Download or read book Generic Pricing of FX, Inflation and Stock Options Under Stochastic Interest Rates and Stochastic Volatility written by Alexander van Haastrecht and published by . This book was released on 2009 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the pricing of FX, inflation and stock options under stochastic interest rates and stochastic volatility, for which we use a generic multi-currency framework. We allow for a general correlation structure between the drivers of the volatility, the inflation index, the domestic (nominal) and the foreign (real) rates. Having the flexibility to correlate the underlying FX/Inflation/Stock index with both stochastic volatility and stochastic interest rates yields a realistic model, which is of practical importance for the pricing and hedging of options with a long-term exposure. We derive explicit valuation formulas for various securities, such as vanilla call/put options, forward starting options, inflation-indexed swaps and inflation caps/floors. These vanilla derivatives can be valued in closed-form under Schobel and Zhu (1999) stochastic volatility, whereas we devise an (Monte Carlo) approximation in the form of a very effective control variate for the general Heston (1993) model. Finally, we numerical investigate the quality of this approximation and consider a calibration example to FX market data.

American Option Pricing Under Stochastic Volatility

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (664 download)

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Book Synopsis American Option Pricing Under Stochastic Volatility by : Suchandan Guha

Download or read book American Option Pricing Under Stochastic Volatility written by Suchandan Guha and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ABSTRACT: We developed two new numerical techniques to price American options when the underlying follows a bivariate process. The first technique exploits the semi-martingale representation of an American option price together with a coarse approximation of its early exercise surface that is based on an efficient implementation of the least-squares Monte Carlo method. The second technique exploits recent results in the efficient pricing of American options under constant volatility. Extensive numerical evaluations show these methods yield very accurate prices in a computationally efficient manner with the latter significantly faster than the former. However, the flexibility of the first method allows for its extension to a much larger class of optimal stopping problems than addressed in this paper.

Pricing American Options Under Stochastic Volatility and Stochastic Interest Rates

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Publisher :
ISBN 13 :
Total Pages : 71 pages
Book Rating : 4.:/5 (861 download)

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Book Synopsis Pricing American Options Under Stochastic Volatility and Stochastic Interest Rates by : Jannick B. G. Schreiner

Download or read book Pricing American Options Under Stochastic Volatility and Stochastic Interest Rates written by Jannick B. G. Schreiner and published by . This book was released on 2012 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Relative Pricing of Options with Stochastic Volatility

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Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Relative Pricing of Options with Stochastic Volatility by : Olivier Ledoit

Download or read book Relative Pricing of Options with Stochastic Volatility written by Olivier Ledoit and published by . This book was released on 1998 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper offers a new approach for pricing options on assets with stochastic volatility. We start by constructing the quot;surfacequot; of Black-Scholes implied volatilities for (readily observable) liquid, European call options with varying strike prices and maturities. Then, we show that the implied volatility of an at-the-money call option with time-to-maturity going tozero is equal to the underlying asset's instantaneous (stochastic) volatility. We then model the stochastic processes followed by the implied volatilities of options of all maturities and strike prices jointly with the stock price, and find a no-arbitrage condition that their drift must satisfy. Finally, we use the resulting arbitrage-free joint process for the stock price and its volatility to price other derivatives, such as standard but illiquid options as well as exotic options using numerical methods. The great advantage of our approach is that, when pricing these other derivatives, we are secure in the knowledge that the model values the hedging instruments - namely the stock and the simple, liquid options - consistently with the market. Our approach can easily be extended to allow for stochastic interest rates and a stochastic dividend yield, which may be particularly relevant to the pricing of currency and commodity options. We can also extend our model to price bond options when the term structure of interest rates has stochastic volatility.