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Financial mathematics and its calculus introduced in an accessible manner for undergraduate students. Topics covered include financial indices as stochastic processes, Ito's stochastic calculus, the Fokker-Planck Equation and extra MATLAB/SCILAB code.
This textbook on the basics of option pricing is accessible to readers with limited mathematical training. It is for both professional traders and undergraduates studying the basics of finance. Assuming no prior knowledge of probability, Sheldon M. Ross offers clear, simple explanations of arbitrage, the Black-Scholes option pricing formula, and other topics such as utility functions, optimal portfolio selections, and the capital assets pricing model. Among the many new features of this third edition are new chapters on Brownian motion and geometric Brownian motion, stochastic order relations and stochastic dynamic programming, along with expanded sets of exercises and references for all the chapters.
Modelling with the Ito integral or stochastic differential equations has become increasingly important in various applied fields, including physics, biology, chemistry and finance. However, stochastic calculus is based on a deep mathematical theory. This book is suitable for the reader without a deep mathematical background. It gives an elementary introduction to that area of probability theory, without burdening the reader with a great deal of measure theory. Applications are taken from stochastic finance. In particular, the Black -- Scholes option pricing formula is derived. The book can serve as a text for a course on stochastic calculus for non-mathematicians or as elementary reading material for anyone who wants to learn about Ito calculus and/or stochastic finance.
"Magnificent."—The Economist From the Nobel Prize–winning economist, a groundbreaking and comprehensive account of corporate finance Recent decades have seen great theoretical and empirical advances in the field of corporate finance. Whereas once the subject addressed mainly the financing of corporations—equity, debt, and valuation—today it also embraces crucial issues of governance, liquidity, risk management, relationships between banks and corporations, and the macroeconomic impact of corporations. However, this progress has left in its wake a jumbled array of concepts and models that students are often hard put to make sense of. Here, one of the world's leading economists offers a lucid, unified, and comprehensive introduction to modern corporate finance theory. Jean Tirole builds his landmark book around a single model, using an incentive or contract theory approach. Filling a major gap in the field, The Theory of Corporate Finance is an indispensable resource for graduate and advanced undergraduate students as well as researchers of corporate finance, industrial organization, political economy, development, and macroeconomics. Tirole conveys the organizing principles that structure the analysis of today's key management and public policy issues, such as the reform of corporate governance and auditing; the role of private equity, financial markets, and takeovers; the efficient determination of leverage, dividends, liquidity, and risk management; and the design of managerial incentive packages. He weaves empirical studies into the book's theoretical analysis. And he places the corporation in its broader environment, both microeconomic and macroeconomic, and examines the two-way interaction between the corporate environment and institutions. Setting a new milestone in the field, The Theory of Corporate Finance will be the authoritative text for years to come.
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This book provides an introduction to probability theory and its applications. The emphasis is on essential probabilistic reasoning, which is illustrated with a large number of samples. The fourth edition adds material related to mathematical finance as well as expansions on stable laws and martingales. From the reviews: "Almost thirty years after its first edition, this charming book continues to be an excellent text for teaching and for self study." -- STATISTICAL PAPERS
This self-contained book presents the theory underlying the valuation of derivative financial instruments, which is becoming a standard part of the professional toolbox in the financial industry. It provides great insight into the underlying economic ideas in a very readable form, putting the reader in an excellent position to proceed to the more general continuous-time theory.
Nobel Prize-winning economist explains why we need to reclaim finance for the common good The reputation of the financial industry could hardly be worse than it is today in the painful aftermath of the 2008 financial crisis. New York Times best-selling economist Robert Shiller is no apologist for the sins of finance—he is probably the only person to have predicted both the stock market bubble of 2000 and the real estate bubble that led up to the subprime mortgage meltdown. But in this important and timely book, Shiller argues that, rather than condemning finance, we need to reclaim it for the common good. He makes a powerful case for recognizing that finance, far from being a parasite on society, is one of the most powerful tools we have for solving our common problems and increasing the general well-being. We need more financial innovation—not less—and finance should play a larger role in helping society achieve its goals. Challenging the public and its leaders to rethink finance and its role in society, Shiller argues that finance should be defined not merely as the manipulation of money or the management of risk but as the stewardship of society's assets. He explains how people in financial careers—from CEO, investment manager, and banker to insurer, lawyer, and regulator—can and do manage, protect, and increase these assets. He describes how finance has historically contributed to the good of society through inventions such as insurance, mortgages, savings accounts, and pensions, and argues that we need to envision new ways to rechannel financial creativity to benefit society as a whole. Ultimately, Shiller shows how society can once again harness the power of finance for the greater good.
Understanding modern physics doesn’t have to be confusing and hard What if there was an intuitive way to understand how nature fundamentally works? What if there was a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that Physics from Finance now exists. What will you learn from this book? Get to know all fundamental interactions —Grasp how we can describe electromagnetic interactions, weak interactions, strong interactions and gravity using the same key ideas.Learn how to describe modern physics mathematically — Understand the meaning and origin of the Einstein equation, Maxwell’s equations, and the Schrödinger equation.Develop an intuitive understanding of key concepts — Read how we can understand abstract ideas like Gauge Symmetry, Internal Spaces, Gauge Fields, Connections and Curvature using a simple toy model of the financial market.Get an understanding you can be proud of — Learn why fiber bundles and group theory provide a unified framework for all modern theories of physics. Physics from Finance is the most reader-friendly book on the geometry of modern physics ever written. Here’s why. First of all, it's is nothing like a formal university lecture. Instead, it’s like a casual conservation with a more experienced student. This also means that nothing is assumed to be “obvious” or “easy to see”.Each chapter, each section, and each page focusses solely on the goal to help you understand. Nothing is introduced without a thorough motivation and it is always clear where each formula comes from.The book contains no fluff since unnecessary content quickly leads to confusion. Instead, it ruthlessly focusses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbook In total, the book contains more than 100 illustrations that help you understand the most important concepts visually.Whenever a concept is used which was already introduced previously, there is a short sidenote that reminds you where it was first introduced and often recites the main points. In addition, helpful diagrams make sure you won’t get lost.