Author: René Carmona
Publisher: Princeton University Press
ISBN: 0691138834
Category : Business & Economics
Languages : en
Pages : 427
Book Description
This is the first book about the emerging field of utility indifference pricing for valuing derivatives in incomplete markets. René Carmona brings together a who's who of leading experts in the field to provide the definitive introduction for students, scholars, and researchers. Until recently, financial mathematicians and engineers developed pricing and hedging procedures that assumed complete markets. But markets are generally incomplete, and it may be impossible to hedge against all sources of randomness. Indifference Pricing offers cutting-edge procedures developed under more realistic market assumptions. The book begins by introducing the concept of indifference pricing in the simplest possible models of discrete time and finite state spaces where duality theory can be exploited readily. It moves into a more technical discussion of utility indifference pricing for diffusion models, and then addresses problems of optimal design of derivatives by extending the indifference pricing paradigm beyond the realm of utility functions into the realm of dynamic risk measures. Focus then turns to the applications, including portfolio optimization, the pricing of defaultable securities, and weather and commodity derivatives. The book features original mathematical results and an extensive bibliography and indexes. In addition to the editor, the contributors are Pauline Barrieu, Tomasz R. Bielecki, Nicole El Karoui, Robert J. Elliott, Said Hamadène, Vicky Henderson, David Hobson, Aytac Ilhan, Monique Jeanblanc, Mattias Jonsson, Anis Matoussi, Marek Musiela, Ronnie Sircar, John van der Hoek, and Thaleia Zariphopoulou. The first book on utility indifference pricing Explains the fundamentals of indifference pricing, from simple models to the most technical ones Goes beyond utility functions to analyze optimal risk transfer and the theory of dynamic risk measures Covers non-Markovian and partially observed models and applications to portfolio optimization, defaultable securities, static and quadratic hedging, weather derivatives, and commodities Includes extensive bibliography and indexes Provides essential reading for PhD students, researchers, and professionals
Neutral and Indifference Portfolio Pricing, Hedging and Investing
Author: Srdjan Stojanovic
Publisher: Springer Science & Business Media
ISBN: 0387714170
Category : Mathematics
Languages : en
Pages : 274
Book Description
This book is written for quantitative finance professionals, students, educators, and mathematically inclined individual investors. It is about some of the latest developments in pricing, hedging, and investing in incomplete markets. With regard to pricing, two frameworks are fully elaborated: neutral and indifference pricing. With regard to hedging, the most conservative and relaxed hedging formulas are derived. With regard to investing, the neutral pricing methodology is also considered as a tool for connecting market asset prices with optimal positions in such assets. Srdjan D. Stojanovic is Professor in the Department of Mathematical Sciences at University of Cincinnati (USA) and Professor in the Center for Financial Engineering at Suzhou University (China).
Publisher: Springer Science & Business Media
ISBN: 0387714170
Category : Mathematics
Languages : en
Pages : 274
Book Description
This book is written for quantitative finance professionals, students, educators, and mathematically inclined individual investors. It is about some of the latest developments in pricing, hedging, and investing in incomplete markets. With regard to pricing, two frameworks are fully elaborated: neutral and indifference pricing. With regard to hedging, the most conservative and relaxed hedging formulas are derived. With regard to investing, the neutral pricing methodology is also considered as a tool for connecting market asset prices with optimal positions in such assets. Srdjan D. Stojanovic is Professor in the Department of Mathematical Sciences at University of Cincinnati (USA) and Professor in the Center for Financial Engineering at Suzhou University (China).
Indifference Pricing
Author: René Carmona
Publisher: Princeton University Press
ISBN: 0691138834
Category : Business & Economics
Languages : en
Pages : 427
Book Description
This is the first book about the emerging field of utility indifference pricing for valuing derivatives in incomplete markets. René Carmona brings together a who's who of leading experts in the field to provide the definitive introduction for students, scholars, and researchers. Until recently, financial mathematicians and engineers developed pricing and hedging procedures that assumed complete markets. But markets are generally incomplete, and it may be impossible to hedge against all sources of randomness. Indifference Pricing offers cutting-edge procedures developed under more realistic market assumptions. The book begins by introducing the concept of indifference pricing in the simplest possible models of discrete time and finite state spaces where duality theory can be exploited readily. It moves into a more technical discussion of utility indifference pricing for diffusion models, and then addresses problems of optimal design of derivatives by extending the indifference pricing paradigm beyond the realm of utility functions into the realm of dynamic risk measures. Focus then turns to the applications, including portfolio optimization, the pricing of defaultable securities, and weather and commodity derivatives. The book features original mathematical results and an extensive bibliography and indexes. In addition to the editor, the contributors are Pauline Barrieu, Tomasz R. Bielecki, Nicole El Karoui, Robert J. Elliott, Said Hamadène, Vicky Henderson, David Hobson, Aytac Ilhan, Monique Jeanblanc, Mattias Jonsson, Anis Matoussi, Marek Musiela, Ronnie Sircar, John van der Hoek, and Thaleia Zariphopoulou. The first book on utility indifference pricing Explains the fundamentals of indifference pricing, from simple models to the most technical ones Goes beyond utility functions to analyze optimal risk transfer and the theory of dynamic risk measures Covers non-Markovian and partially observed models and applications to portfolio optimization, defaultable securities, static and quadratic hedging, weather derivatives, and commodities Includes extensive bibliography and indexes Provides essential reading for PhD students, researchers, and professionals
Publisher: Princeton University Press
ISBN: 0691138834
Category : Business & Economics
Languages : en
Pages : 427
Book Description
This is the first book about the emerging field of utility indifference pricing for valuing derivatives in incomplete markets. René Carmona brings together a who's who of leading experts in the field to provide the definitive introduction for students, scholars, and researchers. Until recently, financial mathematicians and engineers developed pricing and hedging procedures that assumed complete markets. But markets are generally incomplete, and it may be impossible to hedge against all sources of randomness. Indifference Pricing offers cutting-edge procedures developed under more realistic market assumptions. The book begins by introducing the concept of indifference pricing in the simplest possible models of discrete time and finite state spaces where duality theory can be exploited readily. It moves into a more technical discussion of utility indifference pricing for diffusion models, and then addresses problems of optimal design of derivatives by extending the indifference pricing paradigm beyond the realm of utility functions into the realm of dynamic risk measures. Focus then turns to the applications, including portfolio optimization, the pricing of defaultable securities, and weather and commodity derivatives. The book features original mathematical results and an extensive bibliography and indexes. In addition to the editor, the contributors are Pauline Barrieu, Tomasz R. Bielecki, Nicole El Karoui, Robert J. Elliott, Said Hamadène, Vicky Henderson, David Hobson, Aytac Ilhan, Monique Jeanblanc, Mattias Jonsson, Anis Matoussi, Marek Musiela, Ronnie Sircar, John van der Hoek, and Thaleia Zariphopoulou. The first book on utility indifference pricing Explains the fundamentals of indifference pricing, from simple models to the most technical ones Goes beyond utility functions to analyze optimal risk transfer and the theory of dynamic risk measures Covers non-Markovian and partially observed models and applications to portfolio optimization, defaultable securities, static and quadratic hedging, weather derivatives, and commodities Includes extensive bibliography and indexes Provides essential reading for PhD students, researchers, and professionals
An Empire of Indifference
Author: Randy Martin
Publisher: Duke University Press
ISBN: 0822389800
Category : Political Science
Languages : en
Pages : 229
Book Description
In this significant Marxist critique of contemporary American imperialism, the cultural theorist Randy Martin argues that a finance-based logic of risk control has come to dominate Americans’ everyday lives as well as U.S. foreign and domestic policy. Risk management—the ability to adjust for risk and to leverage it for financial gain—is the key to personal finance as well as the defining element of the massive global market in financial derivatives. The United States wages its amorphous war on terror by leveraging particular interventions (such as Iraq) to much larger ends (winning the war on terror) and by deploying small numbers of troops and targeted weaponry to achieve broad effects. Both in global financial markets and on far-flung battlegrounds, the multiplier effects are difficult to foresee or control. Drawing on theorists including Michel Foucault, Giorgio Agamben, Michael Hardt, Antonio Negri, and Achille Mbembe, Martin illuminates a frightening financial logic that must be understood in order to be countered. Martin maintains that finance divides the world between those able to avail themselves of wealth opportunities through risk taking (investors) and those who cannot do so, who are considered “at risk.” He contends that modern-day American imperialism differs from previous models of imperialism, in which the occupiers engaged with the occupied to “civilize” them, siphon off wealth, or both. American imperialism, by contrast, is an empire of indifference: a massive flight from engagement. The United States urges an embrace of risk and self-management on the occupied and then ignores or dispossesses those who cannot make the grade.
Publisher: Duke University Press
ISBN: 0822389800
Category : Political Science
Languages : en
Pages : 229
Book Description
In this significant Marxist critique of contemporary American imperialism, the cultural theorist Randy Martin argues that a finance-based logic of risk control has come to dominate Americans’ everyday lives as well as U.S. foreign and domestic policy. Risk management—the ability to adjust for risk and to leverage it for financial gain—is the key to personal finance as well as the defining element of the massive global market in financial derivatives. The United States wages its amorphous war on terror by leveraging particular interventions (such as Iraq) to much larger ends (winning the war on terror) and by deploying small numbers of troops and targeted weaponry to achieve broad effects. Both in global financial markets and on far-flung battlegrounds, the multiplier effects are difficult to foresee or control. Drawing on theorists including Michel Foucault, Giorgio Agamben, Michael Hardt, Antonio Negri, and Achille Mbembe, Martin illuminates a frightening financial logic that must be understood in order to be countered. Martin maintains that finance divides the world between those able to avail themselves of wealth opportunities through risk taking (investors) and those who cannot do so, who are considered “at risk.” He contends that modern-day American imperialism differs from previous models of imperialism, in which the occupiers engaged with the occupied to “civilize” them, siphon off wealth, or both. American imperialism, by contrast, is an empire of indifference: a massive flight from engagement. The United States urges an embrace of risk and self-management on the occupied and then ignores or dispossesses those who cannot make the grade.
Getting Back to Business: Why Modern Portfolio Theory Fails Investors and How You Can Bring Common Sense to Your Portfolio
Author: Daniel Peris
Publisher: McGraw Hill Professional
ISBN: 1260135330
Category : Business & Economics
Languages : en
Pages : 364
Book Description
Modern Portfolio Theory has failed investors. A change in direction is long overdue. We are in a time of enormous risk. Economic growth is anemic, and political risk to the capital markets is on the rise. In the U.S., a generation of white collar baby-boomers is heading into retirement with insufficient assets in their 401(k) programs, and industrial workers are stuck with materially underfunded pension plans. Against that backdrop, the investing industry’s current set of practices and assumptions—Modern Portfolio Theory (MPT)—is based on a half-century old formula that is supposed to deliver the maximum amount of return for a given amount of risk. The trouble is that it doesn’t work very well. In Getting Back to Business, dividend-investing guru Daniel Peris proposes a radical new approach—radical in that it does away with MPT in favor of a more intuitive, common-sense approach practiced by business people in their own affairs everyday: cash returns on cash investments. “In a profession utterly lacking a historical sensibility,” Peris writes. “One periodically needs to ask why we do things the way we do, how we got here, and whether perhaps there is a better way.” Balancing detailed historical evidence with a practitioner’s real-world expertise, Peris asks the right questions—and provides a solution that makes sense in today’s challenging investing landscape.
Publisher: McGraw Hill Professional
ISBN: 1260135330
Category : Business & Economics
Languages : en
Pages : 364
Book Description
Modern Portfolio Theory has failed investors. A change in direction is long overdue. We are in a time of enormous risk. Economic growth is anemic, and political risk to the capital markets is on the rise. In the U.S., a generation of white collar baby-boomers is heading into retirement with insufficient assets in their 401(k) programs, and industrial workers are stuck with materially underfunded pension plans. Against that backdrop, the investing industry’s current set of practices and assumptions—Modern Portfolio Theory (MPT)—is based on a half-century old formula that is supposed to deliver the maximum amount of return for a given amount of risk. The trouble is that it doesn’t work very well. In Getting Back to Business, dividend-investing guru Daniel Peris proposes a radical new approach—radical in that it does away with MPT in favor of a more intuitive, common-sense approach practiced by business people in their own affairs everyday: cash returns on cash investments. “In a profession utterly lacking a historical sensibility,” Peris writes. “One periodically needs to ask why we do things the way we do, how we got here, and whether perhaps there is a better way.” Balancing detailed historical evidence with a practitioner’s real-world expertise, Peris asks the right questions—and provides a solution that makes sense in today’s challenging investing landscape.
Understanding Investments
Author: Nikiforos T. Laopodis
Publisher: Routledge
ISBN: 1000074889
Category : Business & Economics
Languages : en
Pages : 847
Book Description
This revised and fully expanded edition of Understanding Investments continues to incorporate the elements of traditional textbooks on investments, but goes further in that the material is presented from an intuitive, practical point of view, and the supplementary material included in each chapter lends itself to both class discussion and further reading by students. It provides the essential tools to navigate complex, global financial markets and instruments including relevant (and classic) academic research and market perspectives. The author has developed a number of key innovative features. One unique feature is its economic angle, whereby each chapter includes a section dedicated to the economic analysis of that chapter’s material. Additionally, all chapters contain sections on strategies that investors can apply in specific situations and the pros and cons of each are also discussed. The book provides further clarification of some of the concepts discussed in the previous edition, thereby offering a more detailed analysis and discussion, with more real-world examples. The author has added new, shorter text boxes, labeled "Market Flash" to highlight the use of, or changes in current practices in the field; updates on strategies as applied by professionals; provision of useful information for an investor; updates on regulations; and anything else that might be relevant in discussing and applying a concept. This second edition also includes new sections on core issues in the field of investments, such as alternative investments, disruptive technologies, and future trends in investment management. This textbook is intended for undergraduate students majoring or minoring in finance and also for students in economics and related disciplines who wish to take an elective course in finance or investments.
Publisher: Routledge
ISBN: 1000074889
Category : Business & Economics
Languages : en
Pages : 847
Book Description
This revised and fully expanded edition of Understanding Investments continues to incorporate the elements of traditional textbooks on investments, but goes further in that the material is presented from an intuitive, practical point of view, and the supplementary material included in each chapter lends itself to both class discussion and further reading by students. It provides the essential tools to navigate complex, global financial markets and instruments including relevant (and classic) academic research and market perspectives. The author has developed a number of key innovative features. One unique feature is its economic angle, whereby each chapter includes a section dedicated to the economic analysis of that chapter’s material. Additionally, all chapters contain sections on strategies that investors can apply in specific situations and the pros and cons of each are also discussed. The book provides further clarification of some of the concepts discussed in the previous edition, thereby offering a more detailed analysis and discussion, with more real-world examples. The author has added new, shorter text boxes, labeled "Market Flash" to highlight the use of, or changes in current practices in the field; updates on strategies as applied by professionals; provision of useful information for an investor; updates on regulations; and anything else that might be relevant in discussing and applying a concept. This second edition also includes new sections on core issues in the field of investments, such as alternative investments, disruptive technologies, and future trends in investment management. This textbook is intended for undergraduate students majoring or minoring in finance and also for students in economics and related disciplines who wish to take an elective course in finance or investments.
Neutral and Indifference Portfolio Pricing, Hedging and Investing
Author: Srdjan Stojanovic
Publisher: Springer Science & Business Media
ISBN: 0387714189
Category : Mathematics
Languages : en
Pages : 274
Book Description
This book is written for quantitative finance professionals, students, educators, and mathematically inclined individual investors. It is about some of the latest developments in pricing, hedging, and investing in incomplete markets. With regard to pricing, two frameworks are fully elaborated: neutral and indifference pricing. With regard to hedging, the most conservative and relaxed hedging formulas are derived. With regard to investing, the neutral pricing methodology is also considered as a tool for connecting market asset prices with optimal positions in such assets. Srdjan D. Stojanovic is Professor in the Department of Mathematical Sciences at University of Cincinnati (USA) and Professor in the Center for Financial Engineering at Suzhou University (China).
Publisher: Springer Science & Business Media
ISBN: 0387714189
Category : Mathematics
Languages : en
Pages : 274
Book Description
This book is written for quantitative finance professionals, students, educators, and mathematically inclined individual investors. It is about some of the latest developments in pricing, hedging, and investing in incomplete markets. With regard to pricing, two frameworks are fully elaborated: neutral and indifference pricing. With regard to hedging, the most conservative and relaxed hedging formulas are derived. With regard to investing, the neutral pricing methodology is also considered as a tool for connecting market asset prices with optimal positions in such assets. Srdjan D. Stojanovic is Professor in the Department of Mathematical Sciences at University of Cincinnati (USA) and Professor in the Center for Financial Engineering at Suzhou University (China).
How I Invest My Money
Author: Brian Portnoy
Publisher: Harriman House Limited
ISBN: 0857198092
Category : Business & Economics
Languages : en
Pages : 200
Book Description
The world of investing normally sees experts telling us the 'right' way to manage our money. How often do these experts pull back the curtain and tell us how they invest their own money? Never. How I Invest My Money changes that. In this unprecedented collection, 25 financial experts share how they navigate markets with their own capital. In this honest rendering of how they invest, save, spend, give, and borrow, this group of portfolio managers, financial advisors, venture capitalists and other experts detail the 'how' and the 'why' of their investments. They share stories about their childhood, their families, the struggles they face and the aspirations they hold. Sometimes raw, always revealing, these stories detail the indelible relationship between our money and our values. Taken as a whole, these essays powerfully demonstrate that there is no single 'right' way to save, spend, and invest. We see a kaleidoscope of perspectives on stocks, bonds, real assets, funds, charity, and other means of achieving the life one desires. With engaging illustrations throughout by Carl Richards, How I Invest My Money inspires readers to think creatively about their financial decisions and how money figures in the broader quest for a contented life. With contributions from: Morgan Housel, Christine Benz, Brian Portnoy, Joshua Brown, Bob Seawright, Carolyn McClanahan, Tyrone Ross, Dasarte Yarnway, Nina O'Neal, Debbie Freeman, Shirl Penney, Ted Seides, Ashby Daniels, Blair duQuesnay, Leighann Miko, Perth Tolle, Josh Rogers, Jenny Harrington, Mike Underhill, Dan Egan, Howard Lindzon, Ryan Krueger, Lazetta Rainey Braxton, Rita Cheng, Alex Chalekian
Publisher: Harriman House Limited
ISBN: 0857198092
Category : Business & Economics
Languages : en
Pages : 200
Book Description
The world of investing normally sees experts telling us the 'right' way to manage our money. How often do these experts pull back the curtain and tell us how they invest their own money? Never. How I Invest My Money changes that. In this unprecedented collection, 25 financial experts share how they navigate markets with their own capital. In this honest rendering of how they invest, save, spend, give, and borrow, this group of portfolio managers, financial advisors, venture capitalists and other experts detail the 'how' and the 'why' of their investments. They share stories about their childhood, their families, the struggles they face and the aspirations they hold. Sometimes raw, always revealing, these stories detail the indelible relationship between our money and our values. Taken as a whole, these essays powerfully demonstrate that there is no single 'right' way to save, spend, and invest. We see a kaleidoscope of perspectives on stocks, bonds, real assets, funds, charity, and other means of achieving the life one desires. With engaging illustrations throughout by Carl Richards, How I Invest My Money inspires readers to think creatively about their financial decisions and how money figures in the broader quest for a contented life. With contributions from: Morgan Housel, Christine Benz, Brian Portnoy, Joshua Brown, Bob Seawright, Carolyn McClanahan, Tyrone Ross, Dasarte Yarnway, Nina O'Neal, Debbie Freeman, Shirl Penney, Ted Seides, Ashby Daniels, Blair duQuesnay, Leighann Miko, Perth Tolle, Josh Rogers, Jenny Harrington, Mike Underhill, Dan Egan, Howard Lindzon, Ryan Krueger, Lazetta Rainey Braxton, Rita Cheng, Alex Chalekian
An Introduction to Stock Exchange Investment
Author: Janette Rutterford
Publisher: Bloomsbury Publishing
ISBN: 0230213502
Category : Business & Economics
Languages : en
Pages : 528
Book Description
The new edition of Janette Rutterford's classic textbook has been updated to take account of all practical, technical and legal developments since the last edition was published. Now enhanced by a range of student-friendly features, the focus remains on the London Stock Exchange, but a global perspective is adopted where appropriate. Also available is a companion website with extra features to accompany the text, please take a look by clicking below - http://www.palgrave.com/business/rutterford/
Publisher: Bloomsbury Publishing
ISBN: 0230213502
Category : Business & Economics
Languages : en
Pages : 528
Book Description
The new edition of Janette Rutterford's classic textbook has been updated to take account of all practical, technical and legal developments since the last edition was published. Now enhanced by a range of student-friendly features, the focus remains on the London Stock Exchange, but a global perspective is adopted where appropriate. Also available is a companion website with extra features to accompany the text, please take a look by clicking below - http://www.palgrave.com/business/rutterford/
Investment under Uncertainty
Author: Robert K. Dixit
Publisher: Princeton University Press
ISBN: 1400830176
Category : Business & Economics
Languages : en
Pages : 484
Book Description
How should firms decide whether and when to invest in new capital equipment, additions to their workforce, or the development of new products? Why have traditional economic models of investment failed to explain the behavior of investment spending in the United States and other countries? In this book, Avinash Dixit and Robert Pindyck provide the first detailed exposition of a new theoretical approach to the capital investment decisions of firms, stressing the irreversibility of most investment decisions, and the ongoing uncertainty of the economic environment in which these decisions are made. In so doing, they answer important questions about investment decisions and the behavior of investment spending. This new approach to investment recognizes the option value of waiting for better (but never complete) information. It exploits an analogy with the theory of options in financial markets, which permits a much richer dynamic framework than was possible with the traditional theory of investment. The authors present the new theory in a clear and systematic way, and consolidate, synthesize, and extend the various strands of research that have come out of the theory. Their book shows the importance of the theory for understanding investment behavior of firms; develops the implications of this theory for industry dynamics and for government policy concerning investment; and shows how the theory can be applied to specific industries and to a wide variety of business problems.
Publisher: Princeton University Press
ISBN: 1400830176
Category : Business & Economics
Languages : en
Pages : 484
Book Description
How should firms decide whether and when to invest in new capital equipment, additions to their workforce, or the development of new products? Why have traditional economic models of investment failed to explain the behavior of investment spending in the United States and other countries? In this book, Avinash Dixit and Robert Pindyck provide the first detailed exposition of a new theoretical approach to the capital investment decisions of firms, stressing the irreversibility of most investment decisions, and the ongoing uncertainty of the economic environment in which these decisions are made. In so doing, they answer important questions about investment decisions and the behavior of investment spending. This new approach to investment recognizes the option value of waiting for better (but never complete) information. It exploits an analogy with the theory of options in financial markets, which permits a much richer dynamic framework than was possible with the traditional theory of investment. The authors present the new theory in a clear and systematic way, and consolidate, synthesize, and extend the various strands of research that have come out of the theory. Their book shows the importance of the theory for understanding investment behavior of firms; develops the implications of this theory for industry dynamics and for government policy concerning investment; and shows how the theory can be applied to specific industries and to a wide variety of business problems.
The Mathematics of Financial Modeling and Investment Management
Author: Sergio M. Focardi
Publisher: John Wiley & Sons
ISBN: 0471674230
Category : Business & Economics
Languages : en
Pages : 802
Book Description
the mathematics of financial modeling & investment management The Mathematics of Financial Modeling & Investment Management covers a wide range of technical topics in mathematics and finance-enabling the investment management practitioner, researcher, or student to fully understand the process of financial decision-making and its economic foundations. This comprehensive resource will introduce you to key mathematical techniques-matrix algebra, calculus, ordinary differential equations, probability theory, stochastic calculus, time series analysis, optimization-as well as show you how these techniques are successfully implemented in the world of modern finance. Special emphasis is placed on the new mathematical tools that allow a deeper understanding of financial econometrics and financial economics. Recent advances in financial econometrics, such as tools for estimating and representing the tails of the distributions, the analysis of correlation phenomena, and dimensionality reduction through factor analysis and cointegration are discussed in depth. Using a wealth of real-world examples, Focardi and Fabozzi simultaneously show both the mathematical techniques and the areas in finance where these techniques are applied. They also cover a variety of useful financial applications, such as: * Arbitrage pricing * Interest rate modeling * Derivative pricing * Credit risk modeling * Equity and bond portfolio management * Risk management * And much more Filled with in-depth insight and expert advice, The Mathematics of Financial Modeling & Investment Management clearly ties together financial theory and mathematical techniques.
Publisher: John Wiley & Sons
ISBN: 0471674230
Category : Business & Economics
Languages : en
Pages : 802
Book Description
the mathematics of financial modeling & investment management The Mathematics of Financial Modeling & Investment Management covers a wide range of technical topics in mathematics and finance-enabling the investment management practitioner, researcher, or student to fully understand the process of financial decision-making and its economic foundations. This comprehensive resource will introduce you to key mathematical techniques-matrix algebra, calculus, ordinary differential equations, probability theory, stochastic calculus, time series analysis, optimization-as well as show you how these techniques are successfully implemented in the world of modern finance. Special emphasis is placed on the new mathematical tools that allow a deeper understanding of financial econometrics and financial economics. Recent advances in financial econometrics, such as tools for estimating and representing the tails of the distributions, the analysis of correlation phenomena, and dimensionality reduction through factor analysis and cointegration are discussed in depth. Using a wealth of real-world examples, Focardi and Fabozzi simultaneously show both the mathematical techniques and the areas in finance where these techniques are applied. They also cover a variety of useful financial applications, such as: * Arbitrage pricing * Interest rate modeling * Derivative pricing * Credit risk modeling * Equity and bond portfolio management * Risk management * And much more Filled with in-depth insight and expert advice, The Mathematics of Financial Modeling & Investment Management clearly ties together financial theory and mathematical techniques.