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Pricing and Hedging Long-Term Options

Pricing and Hedging Long-Term Options PDF Author: Zhiwu Chen
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
Recent empirical studies find that once an option pricing model has incorporated stochastic volatility, allowing interest rates to be stochastic does not improve pricing or hedging any further while adding random jumps to the modeling framework only helps the pricing of extremely short-term options but not the hedging performance. Given that only options of relatively short terms are used in existing studies, this paper addresses two related questions: Do long-term options contain different information than short-term options? If so, can long-term options better differentiate among alternative models? Our inquiry starts by first demonstrating analytically that differences among alternative models usually do not surface when applied to short term options, but do so when applied to long-term contracts. For instance, within a wide parameter range, the Arrow-Debreu state price densities implicit in different stochastic-volatility models coincide almost everywhere at the short horizon, but diverge at the long horizon. Using regular options (of less than a year to expiration) and LEAPS, both written on the Samp;P 500 index, we find that short- and long-term contracts indeed contain different information and impose distinct hurdles on any candidate option pricing model. While the data suggest that it is not as important to model stochastic interest rates or random jumps (beyond stochastic volatility) for pricing LEAPS, incorporating stochastic interest rates can nonetheless enhance hedging performance in certain cases involving long-term contracts.

Pricing and Hedging Long-Term Options

Pricing and Hedging Long-Term Options PDF Author: Zhiwu Chen
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
Recent empirical studies find that once an option pricing model has incorporated stochastic volatility, allowing interest rates to be stochastic does not improve pricing or hedging any further while adding random jumps to the modeling framework only helps the pricing of extremely short-term options but not the hedging performance. Given that only options of relatively short terms are used in existing studies, this paper addresses two related questions: Do long-term options contain different information than short-term options? If so, can long-term options better differentiate among alternative models? Our inquiry starts by first demonstrating analytically that differences among alternative models usually do not surface when applied to short term options, but do so when applied to long-term contracts. For instance, within a wide parameter range, the Arrow-Debreu state price densities implicit in different stochastic-volatility models coincide almost everywhere at the short horizon, but diverge at the long horizon. Using regular options (of less than a year to expiration) and LEAPS, both written on the Samp;P 500 index, we find that short- and long-term contracts indeed contain different information and impose distinct hurdles on any candidate option pricing model. While the data suggest that it is not as important to model stochastic interest rates or random jumps (beyond stochastic volatility) for pricing LEAPS, incorporating stochastic interest rates can nonetheless enhance hedging performance in certain cases involving long-term contracts.

Option Pricing and Hedging with Transaction Costs

Option Pricing and Hedging with Transaction Costs PDF Author: Ling Chen
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
The traditional Black-Scholes theory on pricing and hedging of European call options has long been criticized for its oversimplified and unrealistic model assumptions. This dissertation investigates several existing modifications and extensions of the Black-Scholes model and proposes new data-driven approaches to both option pricing and hedging for real data. The semiparametric pricing approach initially proposed by Lai and Wong (2004) provides a first attempt to bridge the gap between model and market option prices. However, its application to the S & P 500 futures options is not a success, when the original additive regression splines are used for the nonparametric part of the pricing formula. Having found a strong autocorrelation in the time-series of the Black-Scholes pricing residuals, we propose a lag-1 correction for the Black-Scholes price, which essentially is a time-series modeling of the nonparametric part in the semiparametric approach. This simple but efficient time-series approach gives an outstanding pricing performance for S & P 500 futures options, even compared with the commonly practiced and favored implied volatility approaches. A major type of approaches to option hedging with proportional transaction costs is based on singular stochastic control problems that seek an optimal balance between the cost and the risk of hedging an option. We propose a data-driven rule-based strategy to connect the theoretical approaches with real-world applications. Similar to the optimal strategies in theory, the rule-based strategy can be characterized by a pair of buy/sell boundaries and a no-transaction region in between. A two-stage iterative procedure is provided for tuning the boundaries to a long period of option data. Comparing the rule-based strategy with several other existing hedging strategies, we obtain favorable results in both the simulation studies and the empirical study using the S & P 500 futures and futures options. Making use of a reverting pattern of the S & P 500 futures price, we refine the rule-based strategy by allowing hedging suspension at large jumps in futures price.

FX Options and Smile Risk

FX Options and Smile Risk PDF Author: Antonio Castagna
Publisher: John Wiley & Sons
ISBN: 0470684933
Category : Business & Economics
Languages : en
Pages : 324

Book Description
The FX options market represents one of the most liquid and strongly competitive markets in the world, and features many technical subtleties that can seriously harm the uninformed and unaware trader. This book is a unique guide to running an FX options book from the market maker perspective. Striking a balance between mathematical rigour and market practice and written by experienced practitioner Antonio Castagna, the book shows readers how to correctly build an entire volatility surface from the market prices of the main structures. Starting with the basic conventions related to the main FX deals and the basic traded structures of FX options, the book gradually introduces the main tools to cope with the FX volatility risk. It then goes on to review the main concepts of option pricing theory and their application within a Black-Scholes economy and a stochastic volatility environment. The book also introduces models that can be implemented to price and manage FX options before examining the effects of volatility on the profits and losses arising from the hedging activity. Coverage includes: how the Black-Scholes model is used in professional trading activity the most suitable stochastic volatility models sources of profit and loss from the Delta and volatility hedging activity fundamental concepts of smile hedging major market approaches and variations of the Vanna-Volga method volatility-related Greeks in the Black-Scholes model pricing of plain vanilla options, digital options, barrier options and the less well known exotic options tools for monitoring the main risks of an FX options’ book The book is accompanied by a CD Rom featuring models in VBA, demonstrating many of the approaches described in the book.

Hedging Interest-rate Exposures

Hedging Interest-rate Exposures PDF Author: Brian Coyle
Publisher: Global Professional Publishi
ISBN: 9780852974452
Category : Business & Economics
Languages : en
Pages : 172

Book Description
� Worked examples illustrating key points � Explanation of complex or obscure terms � Full glossary of terms The titles in this series, all previously published by BPP Training, are now available in entirely updated and reformatted editions. Each offers an international perspective on a particular aspect of risk management. Topics include interest-rate risk, identifying interest-rate exposures, hedging policy, forward rate agreements, structural hedging, and hedging with derivative instruments and interest-rate futures, options and swaps

Buy and Hedge

Buy and Hedge PDF Author: Jay Pestrichelli
Publisher: FT Press
ISBN: 0132825279
Category : Business & Economics
Languages : en
Pages : 305

Book Description
If you're trying to build wealth, sharp market downturns are your worst enemy. And today, they're happening far more often: in the last 18 years, the S&P 500 has experienced sixteen violent market declines. Institutions and professional investors have mastered powerful hedging strategies for dramatically reducing the risks of market volatility. Now, you can do it, too--and you can't afford not to. In Buy and Hedge , two leading investment experts show how to apply hedging as part of a long-term program for growing and preserving your assets. CNBC Fast Money guest Jay Pestrichelli and seasoned financial industry veteran Wayne Ferbert show how to systematically protect yourself against violent downward moves while giving your portfolio maximum room to run in upward markets. The authors' techniques are easy to use, can be applied to most investment vehicles, and require surprisingly little "care and feeding" once implemented. You'll discover how to: · Take advantage of the hedge-building mechanisms built into low-cost index funds · Invest in your ideas with confidence, because you've hedged the downside · Systematically manage portfolios for risk as well as return · Master and apply the "5 Iron Rules of Buy & Hedge” · Use options to manage risk, not to create excess leverage · Generate more dividends · Effectively manage cash

Hedging Instruments and Risk Management

Hedging Instruments and Risk Management PDF Author: Patrick Cusatis
Publisher: McGraw Hill Professional
ISBN: 9780071454537
Category : Business & Economics
Languages : en
Pages : 396

Book Description
Books on complex hedging instruments are often more confusing than the instruments themselves. Hedging Instruments & Risk Management brings clarity to the topic, giving money managers the straightforward knowledge they need to employ hedging tools and techniques in four key markets—equity, currency, fixed income, and mortgage. Using real-world data and examples, this high-level book shows practitioners how to develop a common set of mathematical and statistical tools for hedging in various markets and then outlines several hedging strategies with the historical performance of each.

Pricing and Hedging Financial Derivatives

Pricing and Hedging Financial Derivatives PDF Author: Leonardo Marroni
Publisher: John Wiley & Sons
ISBN: 1119954584
Category : Business & Economics
Languages : en
Pages : 277

Book Description
The only guide focusing entirely on practical approaches to pricing and hedging derivatives One valuable lesson of the financial crisis was that derivatives and risk practitioners don't really understand the products they're dealing with. Written by a practitioner for practitioners, this book delivers the kind of knowledge and skills traders and finance professionals need to fully understand derivatives and price and hedge them effectively. Most derivatives books are written by academics and are long on theory and short on the day-to-day realities of derivatives trading. Of the few practical guides available, very few of those cover pricing and hedging—two critical topics for traders. What matters to practitioners is what happens on the trading floor—information only seasoned practitioners such as authors Marroni and Perdomo can impart. Lays out proven derivatives pricing and hedging strategies and techniques for equities, FX, fixed income and commodities, as well as multi-assets and cross-assets Provides expert guidance on the development of structured products, supplemented with a range of practical examples Packed with real-life examples covering everything from option payout with delta hedging, to Monte Carlo procedures to common structured products payoffs The Companion Website features all of the examples from the book in Excel complete with source code

Volatility Surface and Term Structure

Volatility Surface and Term Structure PDF Author: Kin Keung Lai
Publisher: Routledge
ISBN: 1135006997
Category : Business & Economics
Languages : en
Pages : 102

Book Description
This book provides different financial models based on options to predict underlying asset price and design the risk hedging strategies. Authors of the book have made theoretical innovation to these models to enable the models to be applicable to real market. The book also introduces risk management and hedging strategies based on different criterions. These strategies provide practical guide for real option trading. This book studies the classical stochastic volatility and deterministic volatility models. For the former, the classical Heston model is integrated with volatility term structure. The correlation of Heston model is considered to be variable. For the latter, the local volatility model is improved from experience of financial practice. The improved local volatility surface is then used for price forecasting. VaR and CVaR are employed as standard criterions for risk management. The options trading strategies are also designed combining different types of options and they have been proven to be profitable in real market. This book is a combination of theory and practice. Users will find the applications of these financial models in real market to be effective and efficient.

Conservative Options Trading

Conservative Options Trading PDF Author: Michael C. Thomsett
Publisher: Business Expert Press
ISBN: 1951527135
Category : Business & Economics
Languages : en
Pages : 142

Book Description
The world of options is considered high-risk by many. At its original options treading in the modern era began in the early 1970s when the first listed calls were offered on a short list of companies; a few years later, put trading was added. Since this time, options trading has become available on most companies on the large public exchanges. However, the high-risk reputation of options has persisted through the years, even as dozens of new and often conservative strategies have been introduced. Today, the best use of options is not to speculate on price movement, but to hedge market risk in equity portfolios. Many strategies can combine hedging with income, establishing advantageous circumstances for risk-averse traders. It is possible to apply several strategies to reduce risk and in some instances, to eliminate market risk completely. This book examines the many ways this can be accomplished, based on options for three highly-rated companies. These are qualified as a first step by exceptionally attractive fundamental attributes and trends: Higher than average dividend yield with dividend increases over at least 10 years; a range of moderate price/earnings ratios each year; growing revenue, earnings and net return; and level or declining long-term debt as a percentage of total capitalization.

Pricing and Hedging Interest and Credit Risk Sensitive Instruments

Pricing and Hedging Interest and Credit Risk Sensitive Instruments PDF Author: Frank Skinner
Publisher: Elsevier
ISBN: 0080473954
Category : Business & Economics
Languages : en
Pages : 389

Book Description
This book is tightly focused on the pricing and hedging of fixed income securities and their derivatives. It is targeted at those who are interested in trading these instruments in an investment bank, but is also useful for those responsible for monitoring compliance of the traders such as regulators, back office staff, middle and senior lever managers. To broaden its appeal, this book lowers the barriers to learning by keeping math to a minimum and by illustrating concepts through detailed numerical examples using Excel workbooks/spreadsheets on a CD with the book. On the accompanying CD with the book, three interest rate models are illustrated: Ho and Lee, constant volatility and Black Derman and Toy, along with two evolutionary models, Vasicek and CIR and two credit risk models, Jarrow and Turnbull and Duffie and Singleton. These are implemented via spreadsheets on the CD. * Starts at an introductory level and then develops advanced topics * Provides plenty of numerical examples rather than mathematical equations to aid full understanding of the strengths and weaknesses of all interest rate derivative models* Can be used for self-study - a complete book on the topic, which includes examples with answers