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As indicated by the title, this book focuses on fundamental problems in finance: a logical dilemma in valuation, stock valuation methods/models, risk valuation, and optimal capital structure. It presents an innovative approach to logic and quantitative reasoning (without advanced mathematics) that delivers valuable results ---- convincing solutions to these problems. Readers in finance will definitely be interested in these solutions as well as the methods. In fact, these fundamental problems are essential in the field of finance, and they have remained unsolved (or partly unsolved) for decades. The solutions offered in this book are all sound in theory and feasible in practice, and will hopefully benefit both theoretic al research and practical decision-making.
This book provides innovative solutions to fundamental problems in finance, such as the valuation of bond and equity, the pricing of debt, equity and total asset, the determination of optimal capital structure, etc., which are unsolved or poor-solved so far. The solutions in this book all have the following features: Based on essential assumptions in line with reality, the final solutions are analytical solutions with closed-form models, the forms and variables of the models are determined by strict and objective logic processes rather than chosen or presumed subjectively, such as the new growth model for stock valuation, the new CAPM accounting for total risk rather than only systematic risk, the real solution to optimal capital structure based on the trade-off between tax shield and bankruptcy cost. In addition, these basic solutions or models are adjusted easily to various application scenarios.
Detailed guidance on the mathematics behind equity derivatives Problems and Solutions in Mathematical Finance Volume II is an innovative reference for quantitative practitioners and students, providing guidance through a range of mathematical problems encountered in the finance industry. This volume focuses solely on equity derivatives problems, beginning with basic problems in derivatives securities before moving on to more advanced applications, including the construction of volatility surfaces to price exotic options. By providing a methodology for solving theoretical and practical problems, whilst explaining the limitations of financial models, this book helps readers to develop the skills they need to advance their careers. The text covers a wide range of derivatives pricing, such as European, American, Asian, Barrier and other exotic options. Extensive appendices provide a summary of important formulae from calculus, theory of probability, and differential equations, for the convenience of readers. As Volume II of the four-volume Problems and Solutions in Mathematical Finance series, this book provides clear explanation of the mathematics behind equity derivatives, in order to help readers gain a deeper understanding of their mechanics and a firmer grasp of the calculations. Review the fundamentals of equity derivatives Work through problems from basic securities to advanced exotics pricing Examine numerical methods and detailed derivations of closed-form solutions Utilise formulae for probability, differential equations, and more Mathematical finance relies on mathematical models, numerical methods, computational algorithms and simulations to make trading, hedging, and investment decisions. For the practitioners and graduate students of quantitative finance, Problems and Solutions in Mathematical Finance Volume II provides essential guidance principally towards the subject of equity derivatives.
Detailed guidance on the mathematics behind equity derivatives Problems and Solutions in Mathematical Finance Volume II is an innovative reference for quantitative practitioners and students, providing guidance through a range of mathematical problems encountered in the finance industry. This volume focuses solely on equity derivatives problems, beginning with basic problems in derivatives securities before moving on to more advanced applications, including the construction of volatility surfaces to price exotic options. By providing a methodology for solving theoretical and practical problems, whilst explaining the limitations of financial models, this book helps readers to develop the skills they need to advance their careers. The text covers a wide range of derivatives pricing, such as European, American, Asian, Barrier and other exotic options. Extensive appendices provide a summary of important formulae from calculus, theory of probability, and differential equations, for the convenience of readers. As Volume II of the four-volume Problems and Solutions in Mathematical Finance series, this book provides clear explanation of the mathematics behind equity derivatives, in order to help readers gain a deeper understanding of their mechanics and a firmer grasp of the calculations. Review the fundamentals of equity derivatives Work through problems from basic securities to advanced exotics pricing Examine numerical methods and detailed derivations of closed-form solutions Utilise formulae for probability, differential equations, and more Mathematical finance relies on mathematical models, numerical methods, computational algorithms and simulations to make trading, hedging, and investment decisions. For the practitioners and graduate students of quantitative finance, Problems and Solutions in Mathematical Finance Volume II provides essential guidance principally towards the subject of equity derivatives.
Your complete guide to mastering basic and advanced techniques for interest rate derivative modeling and pricing Interest rate trading constitutes the largest sector of the world derivatives market. Interest rate contracts are a much valued risk management tool used by the majority of the world's largest companies. But interest rate derivative modeling and pricing are extremely challenging tasks, requiring a thorough knowledge and practical expertise in advanced discrete and continuous mathematical modeling methods–practical knowledge which can only be gained through extensive problem solving and the application of contemporary interest rate tools and models to an array of market scenarios. Authored by a distinguished team of quantitative analysts with extensive experience in the field, this second volume in the landmark Problems and Solutions in Mathematical Finance offers you a quick, painless way to acquire that knowledge and expertise. The only book offering a problems-and-solutions approach to teaching interest rate and inflation index derivatives modelling Walks you step-by-step through the theoretical aspects of interest rate and inflation indexed derivatives as well as broad range real-world problems Extremely practical, it bridges the gap between mathematical theory and the everyday reality of the financial markets An ideal text for quantitative finance students and an essential go-to resource for busy practitioners looking to refresh their knowledge and enhance their practical expertise
A practical problem solving reference for commodity and Forex derivatives Problems and Solutions in Mathematical Finance provides an innovative reference for quantitative finance students and practitioners. Using a unique problem-solving approach, this invaluable guide bridges the gap between the theoretical and practical to impart a deeper understanding of the mathematical problems encountered in the finance industry. Volume IV: Commodity and Foreign Exchange Derivatives breaks down the complexity of the topic by walking you step-by-step through a variety of modelling problems. Building skill upon skill, you'll work through a series of problems of increasing difficulty as you learn both the strategy and mechanics behind each solution. Coverage includes both theoretical and real-world problems, using stochastic calculus, probability theory and statistics, as well as an assumed understanding of exotic option and interest rate models covered in volumes II and III. Financial institutions rely on quantitative analysis to inform decision making on trading, hedging, investing, risk management and pricing. This book provides both instruction and reference from a highly practical perspective, giving you a highly applicable real-world skillset. Fully grasp the fundamentals of commodity and foreign exchange derivatives Follow mathematical modelling processes step-by-step Link theory to real-world problems through guided problem-solving Test your knowledge and skills with increasingly complex problem sets Commodity and Foreign Exchange Derivatives are a complex, nuanced area in the quantitative finance realm. Simply reading about these instruments fails to convey the level of understanding required to work with them; in the real-world, quants draw upon an in-depth knowledge of both finance and mathematics every day. Problems and Solutions in Mathematical Finance provides practical reference and problem-solving skills for anyone learning or working in quantitative finance.
Combining respected authors with a problem solving approach. This edition of Fundamentals of Corporate Finance continues to use guided problem solutions to help students apply problems solving methodology and real life financial problems help students practice and connect to real world financial decisions. With updated standards, examples, exercises and statistics and common mistake boxes students are provided with a current text that enables them to build knowledge while building their problem solving and decision making skills.
Mathematical finance requires the use of advanced mathematicaltechniques drawn from the theory of probability, stochasticprocesses and stochastic differential equations. These areas aregenerally introduced and developed at an abstract level, making itproblematic when applying these techniques to practical issues infinance. Problems and Solutions in Mathematical Finance Volume I:Stochastic Calculus is the first of a four-volume set ofbooks focusing on problems and solutions in mathematicalfinance. This volume introduces the reader to the basic stochasticcalculus concepts required for the study of this important subject,providing a large number of worked examples which enable the readerto build the necessary foundation for more practical orientatedproblems in the later volumes. Through this application and byworking through the numerous examples, the reader will properlyunderstand and appreciate the fundamentals that underpinmathematical finance. Written mainly for students, industry practitioners and thoseinvolved in teaching in this field of study, StochasticCalculus provides a valuable reference book to complementone’s further understanding of mathematical finance.
Fundamentals of Corporate Finance, 2nd Edition offers an innovative integration of conceptual understanding and problem-solving ... of intuition and decision-making ... of the authors' industry and classroom/research experience ... with current real-world examples and online practice. Authors Robert Parrino, David Kidwell, and Thomas Bates believe that students who understand the intuition underlying the basic concepts of finance are better able to develop the critical judgments necessary to apply financial tools in real decision- making situations. Their text develops intuitive thinking while simultaneously helping students develop problem solving and computational skills. It then shows students how to apply intuition and analytical skills to decision making while integrating it all with valuation and building shareholder value.