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Option Valuation

Option Valuation
Author: Hugo D. Junghenn
Publisher: CRC Press
Total Pages: 268
Release: 2011-11-23
Genre: Business & Economics
ISBN: 1439889112

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Option Valuation: A First Course in Financial Mathematics provides a straightforward introduction to the mathematics and models used in the valuation of financial derivatives. It examines the principles of option pricing in detail via standard binomial and stochastic calculus models. Developing the requisite mathematical background as needed, the text presents an introduction to probability theory and stochastic calculus suitable for undergraduate students in mathematics, economics, and finance. The first nine chapters of the book describe option valuation techniques in discrete time, focusing on the binomial model. The author shows how the binomial model offers a practical method for pricing options using relatively elementary mathematical tools. The binomial model also enables a clear, concrete exposition of fundamental principles of finance, such as arbitrage and hedging, without the distraction of complex mathematical constructs. The remaining chapters illustrate the theory in continuous time, with an emphasis on the more mathematically sophisticated Black-Scholes-Merton model. Largely self-contained, this classroom-tested text offers a sound introduction to applied probability through a mathematical finance perspective. Numerous examples and exercises help students gain expertise with financial calculus methods and increase their general mathematical sophistication. The exercises range from routine applications to spreadsheet projects to the pricing of a variety of complex financial instruments. Hints and solutions to odd-numbered problems are given in an appendix and a full solutions manual is available for qualifying instructors.


An Introduction to Financial Option Valuation

An Introduction to Financial Option Valuation
Author: Desmond J. Higham
Publisher: Cambridge University Press
Total Pages: 300
Release: 2004-04-15
Genre: Mathematics
ISBN: 1139457896

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This is a lively textbook providing a solid introduction to financial option valuation for undergraduate students armed with a working knowledge of a first year calculus. Written in a series of short chapters, its self-contained treatment gives equal weight to applied mathematics, stochastics and computational algorithms. No prior background in probability, statistics or numerical analysis is required. Detailed derivations of both the basic asset price model and the Black–Scholes equation are provided along with a presentation of appropriate computational techniques including binomial, finite differences and in particular, variance reduction techniques for the Monte Carlo method. Each chapter comes complete with accompanying stand-alone MATLAB code listing to illustrate a key idea. Furthermore, the author has made heavy use of figures and examples, and has included computations based on real stock market data.


Option Valuation

Option Valuation
Author: Hugo D. Junghenn
Publisher: CRC Press
Total Pages: 264
Release: 2011-11-23
Genre: Business & Economics
ISBN: 1439889120

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Option Valuation: A First Course in Financial Mathematics provides a straightforward introduction to the mathematics and models used in the valuation of financial derivatives. It examines the principles of option pricing in detail via standard binomial and stochastic calculus models. Developing the requisite mathematical background as needed, the text presents an introduction to probability theory and stochastic calculus suitable for undergraduate students in mathematics, economics, and finance. The first nine chapters of the book describe option valuation techniques in discrete time, focusing on the binomial model. The author shows how the binomial model offers a practical method for pricing options using relatively elementary mathematical tools. The binomial model also enables a clear, concrete exposition of fundamental principles of finance, such as arbitrage and hedging, without the distraction of complex mathematical constructs. The remaining chapters illustrate the theory in continuous time, with an emphasis on the more mathematically sophisticated Black-Scholes-Merton model. Largely self-contained, this classroom-tested text offers a sound introduction to applied probability through a mathematical finance perspective. Numerous examples and exercises help students gain expertise with financial calculus methods and increase their general mathematical sophistication. The exercises range from routine applications to spreadsheet projects to the pricing of a variety of complex financial instruments. Hints and solutions to odd-numbered problems are given in an appendix and a full solutions manual is available for qualifying instructors.


Project Valuation Using Real Options

Project Valuation Using Real Options
Author: Prasad Kodukula
Publisher: J. Ross Publishing
Total Pages: 256
Release: 2006-07-15
Genre: Business & Economics
ISBN: 9781932159431

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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.


Market-Conform Valuation of Options

Market-Conform Valuation of Options
Author: Tobias Herwig
Publisher: Taylor & Francis
Total Pages: 120
Release: 2006-01-17
Genre: Business & Economics
ISBN: 9783540308379

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The focus of this volume is on the development of new approaches for the market-conform valuation of newly issued derivatives. The first chapter presents a flexible approach to construct the binomial process of the underlying asset price by using a simultaneously backward and forward induction algorithm. This framework can be used to price and hedge a wide range of plain-vanilla and exotic options. In the second chapter this new approach is compared to existing models using a sample of plain-vanilla options, American call options and European Barrier options from two competing markets. In the third chapter new methods to value American-style options via Monte Carlo simulations in accordance with given market prices are discussed. After a short introduction to Monte Carlo methods, two new approaches are proposed. These new frameworks are illustrated via pricing examples for standard American put options.


Valuing Early Stage and Venture-Backed Companies

Valuing Early Stage and Venture-Backed Companies
Author: Neil J. Beaton
Publisher: John Wiley & Sons
Total Pages: 229
Release: 2010-03-29
Genre: Business & Economics
ISBN: 0470436298

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Valuing Early Stage and Venture-Backed Companies Unique in the overall sphere of business valuation, the valuing of early stage and venture-backed companies lacks the traditional metrics of cash flow, earnings, or even revenue at times. But without these metrics, traditional discounted cash flow models and comparison to public markets or private transactions take on less relevance, calling for a more "experiential" valuation approach. In a straightforward, no-nonsense manner, the mystique surrounding the valuation of early stage and venture-backed companies is now unveiled. With an emphasis on applications and models, Valuing Early Stage and Venture-Backed Companies shows the most effective way for your company to prepare and present its valuations. Featuring contributed chapters by a panel of top valuation experts, this book dispels improper valuation techniques promulgated by unknowing business appraisers and answers your key questions about valuation theory and which tools you need to successfully apply in your specific situation. Here, you'll find out more about various valuation techniques, including: "Back solving" valuation Modified cost approach Option pricing model Probability-weighted expected returns model Asian puts New data on discounts for lack of marketability Detailed and hands-on, Valuing Early Stage and Venture-Backed Companies equips you with broad foundational data on the venture capital industry, as well as in-depth analyses of distinct early stage company valuation approaches. Performing valuations for your early stage company requires an understanding of the special circumstances faced by your organization. With ample examples of generally accepted allocation models with complex capital structures common to early stage companies, Valuing Early Stage and Venture-Backed Companies mixes real-life experience with deep technical expertise to equip you with the complete, user-friendly resource you'll turn to often in valuing your early stage or venture-backed company.


Real Option Valuation of Product Innovation

Real Option Valuation of Product Innovation
Author: Yuanyun Kang
Publisher: Diplomica Verlag
Total Pages: 91
Release: 2009-07
Genre: Business & Economics
ISBN: 3836677415

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How can you evaluate a potential investment if there are several possibilities to change the course of action in the future depending on different emerging situations? And even more challenging: How can you do so if you cannot come up with point estimates - but you have to use several ranges of input values? Both - managerial flexibility as well as so called continuous uncertainty - are highly relevant as they reflect most of the investment decisions realistically. But if you apply standard valuation techniques like a simple Discounted Cash Flow model, the computed value will be significantly distorted, potentially prompting you to make a wrong decision. Given the practical urgent need for a suitable valuation technique, the real option valuation approach was developed as an advanced valuation approach. It follows a non-trivial but doable four-step process, quantifying the value of investments in situations of managerial flexibility and continuous uncertainty. While real option valuation is considered to be an opaque technique, Ms. Kang proves that it can be explained in an understandable way, even for someone approaching the matter with limited or no prior exposure to the topic. The author outlines the major issues of current product innovation valuation with traditional valuation techniques. On the basis of this analysis she explains the basic concepts of valuing product innovation through the use of real option valuation. Supported by a few practical examples the author clarifies how to value different types of real options. So based on the actual Financial Statement 2006 of Research In Motion (RIM), the author develops a sample 5-year business plan for the product innovation of BlackBerry 9900. This is done through the highly advanced model of Binomial Trees. Overall with this thesis, you'll get a head-start into one of the more advanced management tools - the real option valuation.


Mergers & Acquisitions - a Real Option valuation approach of investment decision under uncertainty

Mergers & Acquisitions - a Real Option valuation approach of investment decision under uncertainty
Author: Marc Zajicek
Publisher: diplom.de
Total Pages: 74
Release: 2004-01-06
Genre: Business & Economics
ISBN: 3832475753

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Inhaltsangabe:Abstract: The objective of this dissertation is to examine the application of Real Options for the evaluation of companies with regard to acquisitions. There has been an intensive scientific discussion in the past years about the Real Options method for the evaluation of investments and mergers & acquisitions as in practice usually the management tries to capture future developments with static methods of capital budgeting. For example, future cash-flows are discounted with a fixed risk-adjusted discount rate. Therefore, the Real Options approach has been applied very rarely as it has the reputation of high complexity and poor practicability in daily business. However, the use of present values and capitalized values may produce pitfalls in acquisition decisions as strategic investment decisions might be characterized by a wide range of possibilities to react flexibly to a fast changing environment. In chapter 1, the term Mergers & Acquisitions (M&A) is defined and the motives as well as the relevance of M&A transactions for different branches are described in detail. Furthermore, the process and the different phases of a merger or an acquisition are explained. Chapter 2 presents traditional evaluation methods of static net present value, sensitivity analysis, Monte Carlo and decision tree. These classic methods are discussed and a comparison is drawn among these techniques in regard to practicability. At the end of this chapter, a evaluation is presented in regard to specific situations with the mayor parameter of uncertainty and flexibility for the application of these classic methods. The basic concept of option pricing is described in chapter 3. In addition, the Black-Scholes equation and the underlying assumptions are explained in detail in order to understand financial options, which are the basic for the Real Options approach. At the end of the chapter, an example of a call and put option is discussed in order to understand the functioning of options. Chapter 4 presents an introduction and definition of the Real Options method. Furthermore, the value drivers and the value creation due to the application of Real Options are discussed and analyzed in detail. After the discussion of the functioning of Real Options, a comparison of the analogy between financial Options and Real Options is done in order to possible differences. In this context, the limitations of the analogy of financial and Real Options are presented. Finally, [...]


Black-Scholes Option Valuation Factor Table at $1 of Both Exercise Price and Stock Price

Black-Scholes Option Valuation Factor Table at $1 of Both Exercise Price and Stock Price
Author: Steve Shaw
Publisher: Trafford Publishing
Total Pages: 182
Release: 2002
Genre: Business & Economics
ISBN: 1553698576

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BLACK-SCHOLES OPTIONS VALUATION FACTOR TABLE AT $1 OF BOTH EXERCISE PRICE AND STOCK OPTION" provides you with a simple classic way to use Nobel prized "Black-Scholes Option Pricing Model" in valuing stock options granted at the market price. The basic assumption is that the stock options are granted at the market price, which is true for most companies, although some companies do grant options at premium or discount to the market price at the date of grant. This book gives the Valuation Factors (per share Black-Scholes value) of option, assuming both exercise price and stock price are $1, at different combinations of estimated dividend yield, expected life of options, risk free interest rate, and estimated volatility. Determining the value of stock options with this book is similar to defining the present value of future payments by using a present value table at $1. Investors first find a Valuation Factor by matching their assumptions on risk-free interest rates (using Treasury STRIPS), estimated dividend yield, expected life of options and estimated volatility, and then multiply it by either the exercise price or the stock price followed by the number of shares. With this book, business professionals can easily prepare their FAS 123 pro-form disclosures on both their annual and interim reports as required by SEC.