Mathematical Modeling and Methods of Option Pricing

Mathematical Modeling and Methods of Option Pricing PDF Author: Lishang Jiang
Publisher: World Scientific
ISBN: 9812563695
Category : Science
Languages : en
Pages : 344

Get Book Here

Book Description
From the perspective of partial differential equations (PDE), this book introduces the Black-Scholes-Merton's option pricing theory. A unified approach is used to model various types of option pricing as PDE problems, to derive pricing formulas as their solutions, and to design efficient algorithms from the numerical calculation of PDEs.

Mathematical Modeling and Methods of Option Pricing

Mathematical Modeling and Methods of Option Pricing PDF Author: Lishang Jiang
Publisher: World Scientific
ISBN: 9812563695
Category : Science
Languages : en
Pages : 344

Get Book Here

Book Description
From the perspective of partial differential equations (PDE), this book introduces the Black-Scholes-Merton's option pricing theory. A unified approach is used to model various types of option pricing as PDE problems, to derive pricing formulas as their solutions, and to design efficient algorithms from the numerical calculation of PDEs.

The Complete Guide to Option Pricing Formulas

The Complete Guide to Option Pricing Formulas PDF Author: Espen Gaarder Haug
Publisher: Professional Finance & Investment
ISBN:
Category : Business & Economics
Languages : en
Pages : 586

Get Book Here

Book Description
Accompanying CD-ROM contains ... "all pricing formulas, with VBA code and ready-to-use Excel spreadsheets and 3D charts for Greeks (or Option Sensitivities)."--Jacket.

Stochastic volatility and the pricing of financial derivatives

Stochastic volatility and the pricing of financial derivatives PDF Author: Antoine Petrus Cornelius van der Ploeg
Publisher: Rozenberg Publishers
ISBN: 9051705778
Category :
Languages : en
Pages : 358

Get Book Here

Book Description


Implied Volatility Functions

Implied Volatility Functions PDF Author: Bernard Dumas
Publisher:
ISBN:
Category : Options (Finance)
Languages : en
Pages : 34

Get Book Here

Book Description
Abstract: Black and Scholes (1973) implied volatilities tend to be systematically related to the option's exercise price and time to expiration. Derman and Kani (1994), Dupire (1994), and Rubinstein (1994) attribute this behavior to the fact that the Black-Scholes constant volatility assumption is violated in practice. These authors hypothesize that the volatility of the underlying asset's return is a deterministic function of the asset price and time and develop the deterministic volatility function (DVF) option valuation model, which has the potential of fitting the observed cross-section of option prices exactly. Using a sample of S & P 500 index options during the period June 1988 through December 1993, we evaluate the economic significance of the implied deterministic volatility function by examining the predictive and hedging performance of the DV option valuation model. We find that its performance is worse than that of an ad hoc Black-Scholes model with variable implied volatilities.

Fat-Tailed and Skewed Asset Return Distributions

Fat-Tailed and Skewed Asset Return Distributions PDF Author: Svetlozar T. Rachev
Publisher: John Wiley & Sons
ISBN: 0471758906
Category : Business & Economics
Languages : en
Pages : 385

Get Book Here

Book Description
While mainstream financial theories and applications assume that asset returns are normally distributed, overwhelming empirical evidence shows otherwise. Yet many professionals don’t appreciate the highly statistical models that take this empirical evidence into consideration. Fat-Tailed and Skewed Asset Return Distributions examines this dilemma and offers readers a less technical look at how portfolio selection, risk management, and option pricing modeling should and can be undertaken when the assumption of a non-normal distribution for asset returns is violated. Topics covered in this comprehensive book include an extensive discussion of probability distributions, estimating probability distributions, portfolio selection, alternative risk measures, and much more. Fat-Tailed and Skewed Asset Return Distributions provides a bridge between the highly technical theory of statistical distributional analysis, stochastic processes, and econometrics of financial returns and real-world risk management and investments.

Stochastic Volatility Modeling

Stochastic Volatility Modeling PDF Author: Lorenzo Bergomi
Publisher: CRC Press
ISBN: 1482244071
Category : Business & Economics
Languages : en
Pages : 520

Get Book Here

Book Description
Packed with insights, Lorenzo Bergomi's Stochastic Volatility Modeling explains how stochastic volatility is used to address issues arising in the modeling of derivatives, including:Which trading issues do we tackle with stochastic volatility? How do we design models and assess their relevance? How do we tell which models are usable and when does c

The Volatility Surface

The Volatility Surface PDF Author: Jim Gatheral
Publisher:
ISBN: 9781119202073
Category : Options (Finance)
Languages : en
Pages : 179

Get Book Here

Book Description


Project Valuation Using Real Options

Project Valuation Using Real Options PDF Author: Prasad Kodukula
Publisher: J. Ross Publishing
ISBN: 9781932159431
Category : Business & Economics
Languages : en
Pages : 256

Get Book Here

Book Description
Business leaders are frequently faced with investment decisions on new and ongoing projects. The challenge lies in deciding what projects to choose, expand, contract, defer, or abandon, and which method of valuation to use is the key tool in the process. This title presents a step-by-step, practical approach to real options valuation to make it easily understandable by practitioners as well as senior management. This systematic approach to project valuation helps you minimize upfront investment risks, exercise flexibility in decision making, and maximize the returns. Whereas the traditional decision tools such as discounted cash flow/net present value (DCF/NPV) analysis assume a “fixed” path ahead, real options analysis offers more flexible strategies. Considered one of the greatest innovations of modern finance, the real options approach is based on Nobel-prize winning work by three MIT economists, Fischer Black, Robert Merton, and Myron Scholes.

Measuring and Controlling Interest Rate and Credit Risk

Measuring and Controlling Interest Rate and Credit Risk PDF Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
ISBN: 0471485918
Category : Business & Economics
Languages : en
Pages : 545

Get Book Here

Book Description
Measuring and Controlling Interest Rate and Credit Risk provides keys to using derivatives to control interest rate risk and credit risk, and controlling interest rate risk in a mortgage-backed securities derivative portfolio. This book includes information on measuring yield curve risk, swaps and exchange-traded options, TC options and related products, and describes how to measure and control the interest rate of risk of a bond portfolio or trading position. Measuring and Controlling Interest Rate and Credit Risk is a systematic evaluation of how to measure and control the interest rate risk and credit risk of a bond portfolio or trading position, defining key points in the process of risk management as related to financial situations. The authors construct a verbal flow chart, defining and illustrating interest rate risk and credit risk in regards to valuation, probability distributions, forecasting yield volatility, correlation and regression analyses. Hedging instruments discussed include futures contracts, interest rate swaps, exchange traded options, OTC options, and credit derivatives. The text includes calculated examples and readers will learn how to measure and control the interest rate risk and credit risk of a bond portfolio or trading position. They will discover value at risk approaches, valuation, probability distributions, yield volatility, futures, interest rate swaps, exchange traded funds; and find in-depth, up-to-date information on measuring interest rate with derivatives, quantifying the results of positions, and hedging. Frank J. Fabozzi (New Hope, PA) is a financial consultant, the Editor of the Journal of Portfolio Management, and an Adjunct Professor of Finance at Yale University?s School of Management. Steven V. Mann (Columbia, SC) is Professor of Finance at the Moore School of Business, University of South Carolina. Moorad Choudhry (Surrey, UK) is a Vice President with JPMorgan Chase structured finance services in London. Moorad Choudhry (Surrey, England) is a senior Fellow at the Centre for Mathematical Trading and Finance, CASS Business School, London, and is Editor of the Journal of Bond Trading and Management. He has authored a number of books on fixed income analysis and the capital markets. Moorad began his City career with ABN Amro Hoare Govett Sterling Bonds Limited, where he worked as a gilt-edged market maker, and Hambros Bank Limited where he was a sterling proprietary trader. He is currently a vice-president in Structured Finance Services with JPMorgan Chase Bank in London.

Inside Volatility Arbitrage

Inside Volatility Arbitrage PDF Author: Alireza Javaheri
Publisher: John Wiley & Sons
ISBN: 1118161025
Category : Business & Economics
Languages : en
Pages : 222

Get Book Here

Book Description
Today?s traders want to know when volatility is a sign that the sky is falling (and they should stay out of the market), and when it is a sign of a possible trading opportunity. Inside Volatility Arbitrage can help them do this. Author and financial expert Alireza Javaheri uses the classic approach to evaluating volatility -- time series and financial econometrics -- in a way that he believes is superior to methods presently used by market participants. He also suggests that there may be "skewness" trading opportunities that can be used to trade the markets more profitably. Filled with in-depth insight and expert advice, Inside Volatility Arbitrage will help traders discover when "skewness" may present valuable trading opportunities as well as why it can be so profitable.