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Myron Scholes Is the Frank E
Myron Scholes is the Frank E. Buck Professor of Finance, Emeritus, called back to active duty at the Stanford Graduate School of Business. He is a Nobel Laureate in Economic Sciences, and co- originator of the Black-Scholes options pricing model. Scholes was awarded the Nobel Prize in 1997 for his new method of determining the value of derivatives. His research has focused on understanding uncertainty and its effect on asset prices and the value of options, including flexibility options. He has studied the effects of tax policy on asset prices and incentives. He studied the effects of the taxation of dividends on the prices of securities, the interaction of incentives and taxes in executive compensation, capital structure issues with taxation, and the effects of taxes on the optimal liquidation of assets. He wrote several articles on investment banking and incentives and developed a new theory of tax planning under uncertainty and information asymmetry which led to a book with Mark A. Wolfson called Taxes and Business Strategies: A Planning Myron Scholes Approach (Prentice Hall, 1991). Frank E. Buck Professor of Finance, Emeritus Scholes is currently the Chief Investment Strategist, Janus Capital Group. Previously he served as the Chairman of Platinum Grove Stanford University Asset Management and on the Dimensional Fund Advisors Board of Directors, formerly, American Century Mutual Fund Board of Directors and the Cutwater Advisory Board. He was a principal and Limited Partner at Long-Term Capital Management, L.P. and a Managing Director at Salomon Brothers. Other positions Scholes held include the Edward Eagle Brown Professor of Finance at the University of Chicago, Senior Research Fellow at the Hoover Institution, and Director of the Center for Research in Security Prices, and Professor of Finance at MIT’s Sloan School of Management. -
Mathematical Finance
Mathematical Finance 6.1I nterest and Effective Rates In this section, you will learn about various ways to solve simple and compound interest problems related to bank accounts and calculate the effective rate of interest. Upon completion you will be able to: • Apply the simple interest formula to various financial scenarios. • Apply the continuously compounded interest formula to various financial scenarios. • State the difference between simple interest and compound interest. • Use technology to solve compound interest problems, not involving continuously compound interest. • Compute the effective rate of interest, using technology when possible. • Compare multiple accounts using the effective rates of interest/effective annual yields. Working with Simple Interest It costs money to borrow money. The rent one pays for the use of money is called interest. The amount of money that is being borrowed or loaned is called the principal or present value. Interest, in its simplest form, is called simple interest and is paid only on the original amount borrowed. When the money is loaned out, the person who borrows the money generally pays a fixed rate of interest on the principal for the time period the money is kept. Although the interest rate is often specified for a year, annual percentage rate, it may be specified for a week, a month, or a quarter, etc. When a person pays back the money owed, they pay back the original amount borrowed plus the interest earned on the loan, which is called the accumulated amount or future value. Definition Simple interest is the interest that is paid only on the principal, and is given by I = Prt where, I = Interest earned or paid P = Present value or Principal r = Annual percentage rate (APR) changed to a decimal* t = Number of years* *The units of time for r and t must be the same. -
Math 581/Econ 673: Mathematical Finance
Math 581/Econ 673: Mathematical Finance This course is ideal for students who want a rigorous introduction to finance. The course covers the following fundamental topics in finance: the time value of money, portfolio theory, capital market theory, security price modeling, and financial derivatives. We shall dissect financial models by isolating their central assumptions and conceptual building blocks, showing rigorously how their gov- erning equations and relations are derived, and weighing critically their strengths and weaknesses. Prerequisites: The mathematical prerequisites are Math 212 (or 222), Math 221, and Math 230 (or 340) or consent of instructor. The course assumes no prior back- ground in finance. Assignments: assignments are team based. Grading: homework is 70% and the individual in-class project is 30%. The date, time, and location of the individual project will be given during the first week of classes. The project is mandatory; missing it is analogous to missing a final exam. Text: A. O. Petters and X. Dong, An Introduction to Mathematical Finance with Appli- cations (Springer, New York, 2016) The text will be allowed as a reference during the individual project. The following books are not required and may serve as supplements: - M. Capi´nski and T. Zastawniak, Mathematics for Finance (Springer, London, 2003) - J. Hull, Options, Futures, and Other Derivatives (Pearson Prentice Hall, Upper Saddle River, 2015) - R. McDonald, Derivative Markets, Second Edition (Addison-Wesley, Boston, 2006) - S. Roman, Introduction to the Mathematics of Finance (Springer, New York, 2004) - S. Ross, An Elementary Introduction to Mathematical Finance, Third Edition (Cambrige U. Press, Cambridge, 2011) - P. Wilmott, S. -
Mathematics and Financial Economics Editor-In-Chief: Elyès Jouini, CEREMADE, Université Paris-Dauphine, Paris, France; [email protected]
ABCD springer.com 2nd Announcement and Call for Papers Mathematics and Financial Economics Editor-in-Chief: Elyès Jouini, CEREMADE, Université Paris-Dauphine, Paris, France; [email protected] New from Springer 1st issue in July 2007 NEW JOURNAL Submit your manuscript online springer.com Mathematics and Financial Economics In the last twenty years mathematical finance approach. When quantitative methods useful to has developed independently from economic economists are developed by mathematicians theory, and largely as a branch of probability and published in mathematical journals, they theory and stochastic analysis. This has led to often remain unknown and confined to a very important developments e.g. in asset pricing specific readership. More generally, there is a theory, and interest-rate modeling. need for bridges between these disciplines. This direction of research however can be The aim of this new journal is to reconcile these viewed as somewhat removed from real- two approaches and to provide the bridging world considerations and increasingly many links between mathematics, economics and academics in the field agree over the necessity finance. Typical areas of interest include of returning to foundational economic issues. foundational issues in asset pricing, financial Mainstream finance on the other hand has markets equilibrium, insurance models, port- often considered interesting economic folio management, quantitative risk manage- problems, but finance journals typically pay ment, intertemporal economics, uncertainty less -
An Intellectual History of Corporate Finance Theory
Saint Louis University Law Journal Volume 54 Number 4 Remaking Law: Moving Beyond Article 11 Enlightenment Jurisprudence (Summer 2010) 2010 The Enlightenment and the Financial Crisis of 2008: An Intellectual History of Corporate Finance Theory James R. Hackney Jr. Northeastern University School of Law, [email protected] Follow this and additional works at: https://scholarship.law.slu.edu/lj Part of the Law Commons Recommended Citation James R. Hackney Jr., The Enlightenment and the Financial Crisis of 2008: An Intellectual History of Corporate Finance Theory, 54 St. Louis U. L.J. (2010). Available at: https://scholarship.law.slu.edu/lj/vol54/iss4/11 This Childress Lecture is brought to you for free and open access by Scholarship Commons. It has been accepted for inclusion in Saint Louis University Law Journal by an authorized editor of Scholarship Commons. For more information, please contact Susie Lee. SAINT LOUIS UNIVERSITY SCHOOL OF LAW THE ENLIGHTENMENT AND THE FINANCIAL CRISIS OF 2008: AN INTELLECTUAL HISTORY OF CORPORATE FINANCE THEORY JAMES R. HACKNEY, JR.* Professor powell paints a sweeping account of the relationship between the Enlightenment and law. I agree with the basic thrust of his argument, and I applaud his ability to make connections between the broad scope of intellectual history and developments in law.1 I have previously written about the interconnection between philosophical ideals and the development of legal- economic theory as it particularly relates to tort law theory.2 Through his extension of these ideas into other areas of law, Professor powell illustrates their wide implications. As Professor powell highlights, one of the principal tenets of the Enlightenment is the belief in rationality and the focus on the individual as the emphasis of analysis.3 This individualistic ideal is the foundation of neoclassical economics, which I have previously detailed.4 It is also the foundation for modern finance theory, which ascended with neoclassical economics and has a close relationship with it both theoretically and institutionally. -
Myron S. Scholes [Ideological Profiles of the Economics Laureates] Daniel B
Myron S. Scholes [Ideological Profiles of the Economics Laureates] Daniel B. Klein, Ryan Daza, and Hannah Mead Econ Journal Watch 10(3), September 2013: 590-593 Abstract Myron S. Scholes is among the 71 individuals who were awarded the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel between 1969 and 2012. This ideological profile is part of the project called “The Ideological Migration of the Economics Laureates,” which fills the September 2013 issue of Econ Journal Watch. Keywords Classical liberalism, economists, Nobel Prize in economics, ideology, ideological migration, intellectual biography. JEL classification A11, A13, B2, B3 Link to this document http://econjwatch.org/file_download/766/ScholesIPEL.pdf ECON JOURNAL WATCH Schelling, Thomas C. 2007. Strategies of Commitment and Other Essays. Cambridge, Mass.: Harvard University Press. Schelling, Thomas C. 2013. Email correspondence with Daniel Klein, June 12. Schelling, Thomas C., and Morton H. Halperin. 1961. Strategy and Arms Control. New York: The Twentieth Century Fund. Myron S. Scholes by Daniel B. Klein, Ryan Daza, and Hannah Mead Myron Scholes (1941–) was born and raised in Ontario. His father, born in New York City, was a teacher in Rochester. He moved to Ontario to practice dentistry in 1930. Scholes’s mother moved as a young girl to Ontario from Russia and its pogroms (Scholes 2009a, 235). His mother and his uncle ran a successful chain of department stores. Scholes’s “first exposure to agency and contracting problems” was a family dispute that left his mother out of much of the business (Scholes 2009a, 235). In high school, he “enjoyed puzzles and financial issues,” succeeded in mathematics, physics, and biology, and subsequently was solicited to enter a engineering program by McMaster University (Scholes 2009a, 236-237). -
Robert Merton and Myron Scholes, Nobel Laureates in Economic Sciences, Receive 2011 CME Group Fred Arditti Innovation Award
Robert Merton and Myron Scholes, Nobel Laureates in Economic Sciences, Receive 2011 CME Group Fred Arditti Innovation Award CHICAGO, Sept. 8, 2011 /PRNewswire/ -- The CME Group Center for Innovation (CFI) today announced Robert C. Merton, School of Management Distinguished Professor of Finance at the MIT Sloan School of Management and Myron S. Scholes, chairman of the Board of Economic Advisors of Stamos Partners, are the 2011 CME Group Fred Arditti Innovation Award recipients. Both recipients are recognized for their significant contributions to the financial markets, including the discovery and development of the Black-Scholes options pricing model, used to determine the value of options derivatives. The award will be presented at the fourth annual Global Financial Leadership Conference in Naples, Fla., Monday, October 24. "The Fred Arditti Award honors individuals whose innovative ideas created significant change to the markets," said Leo Melamed, CME Group Chairman Emeritus and Competitive Markets Advisory Council (CMAC) Vice Chairman. "The nexus between the Black-Scholes model and this Award needs no explanation. Their options model forever changed the nature of markets and provided the necessary foundation for the measurement of risk. The CME Group options markets were built on that infrastructure." "The Black-Scholes pricing model is still widely used to minimize risk in the financial markets," said Scholes, who first articulated the model's formula along with economist Fischer Black. "It is thrilling to witness the impact it has had in this industry, and we are honored to receive this recognition for it." "Amid uncertainty in the financial markets, we are pleased the Black-Scholes pricing model still plays an important role in determining pricing and managing risk," said Merton, who worked with Scholes and Black to further mathematically prove the model. -
Careers in Quantitative Finance by Steven E
Careers in Quantitative Finance by Steven E. Shreve1 August 2018 1 What is Quantitative Finance? Quantitative finance as a discipline emerged in the 1980s. It is also called financial engineering, financial mathematics, mathematical finance, or, as we call it at Carnegie Mellon, computational finance. It uses the tools of mathematics, statistics, and computer science to solve problems in finance. Computational methods have become an indispensable part of the finance in- dustry. Originally, mathematical modeling played the dominant role in com- putational finance. Although this continues to be important, in recent years data science and machine learning have become more prominent. Persons working in the finance industry using mathematics, statistics and computer science have come to be known as quants. Initially relegated to peripheral roles in finance firms, quants have now taken center stage. No longer do traders make decisions based solely on instinct. Top traders rely on sophisticated mathematical models, together with analysis of the current economic and financial landscape, to guide their actions. Instead of sitting in front of monitors \following the market" and making split-second decisions, traders write algorithms that make these split- second decisions for them. Banks are eager to hire \quantitative traders" who know or are prepared to learn this craft. While trading may be the highest profile activity within financial firms, it is not the only critical function of these firms, nor is it the only place where quants can find intellectually stimulating and rewarding careers. I present below an overview of the finance industry, emphasizing areas in which quantitative skills play a role. -
Financial Mathematics
Financial Mathematics Alec Kercheval (Chair, Florida State University) Ronnie Sircar (Princeton University) Jim Sochacki (James Madison University) Tim Sullivan (Economics, Towson University) Introduction Financial Mathematics developed in the mid-1980s as research mathematicians became interested in problems, largely involving stochastic control, that had until then been studied primarily by economists. The subject grew slowly at first and then more rapidly from the mid- 1990s through to today as mathematicians with backgrounds first in probability and control, then partial differential equations and numerical analysis, got into it and discovered new issues and challenges. A society of mostly mathematicians and some economists, the Bachelier Finance Society, began in 1997 and holds biannual world congresses. The Society for Industrial and Applied Mathematics (SIAM) started an Activity Group in Financial Mathematics & Engineering in 2002; it now has about 800 members. The 4th SIAM conference in this area was held jointly with its annual meeting in Minneapolis in 2013, and attracted over 300 participants to the Financial Mathematics meeting. In 2009 the SIAM Journal on Financial Mathematics was launched and it has been very successful gauged by numbers of submissions. Student interest grew enormously over the same period, fueled partly by the growing financial services sector of modern economies. This growth created a demand first for quantitatively trained PhDs (typically physicists); it then fostered the creation of a large number of Master’s programs around the world, especially in Europe and in the U.S. At a number of institutions undergraduate programs have developed and become quite popular, either as majors or tracks within a mathematics major, or as joint degrees with Business or Economics. -
Editor's Letter
Why I Shall Miss Merton Miller Peter L. Bernstein erton Miller’s death received the proper somewhere,” he recalls. Miller was instrumental in tak- notices due a winner of the Nobel Prize, but ing Sharpe to the Quadrangle Club in Chicago, where Mthese reports emphasize the importance of he could present his ideas to faculty members like his intellectual contributions rather than his significance Miller, Lorie, and Fama. The invitation led to an as a human being. Nobody gives out Nobel Prizes for appointment to join the Chicago faculty, and Sharpe being a superior member of the human race, but Miller and his theories were on their way. would surely have been a laureate if someone had ever Miller’s role in launching the Black-Scholes- decided to create such a prize. Merton option pricing model was even more deter- Quite aside from the extraordinary insights gained mining. In October 1970, the three young scholars from Modigliani-Miller, we owe Merton Miller a deep had completed their work, and began the search for a debt of gratitude for his efforts to promote the careers journal that would publish it. “A Theoretical Valuation of young scholars whose little-noted innovations would Formula for Options, Warrants, and Other in time rock the world of finance. Works at the core of Securities”—subsequently given the more palatable modern investment theory might still be gathering dust title of “The Pricing of Options and Corporate somewhere—or might not even have been created— Liabilities”—was promptly rejected by Chicago’s by guest on October 1, 2021. -
The Capital Asset Pricing Model (CAPM) of William Sharpe (1964)
Journal of Economic Perspectives—Volume 18, Number 3—Summer 2004—Pages 25–46 The Capital Asset Pricing Model: Theory and Evidence Eugene F. Fama and Kenneth R. French he capital asset pricing model (CAPM) of William Sharpe (1964) and John Lintner (1965) marks the birth of asset pricing theory (resulting in a T Nobel Prize for Sharpe in 1990). Four decades later, the CAPM is still widely used in applications, such as estimating the cost of capital for firms and evaluating the performance of managed portfolios. It is the centerpiece of MBA investment courses. Indeed, it is often the only asset pricing model taught in these courses.1 The attraction of the CAPM is that it offers powerful and intuitively pleasing predictions about how to measure risk and the relation between expected return and risk. Unfortunately, the empirical record of the model is poor—poor enough to invalidate the way it is used in applications. The CAPM’s empirical problems may reflect theoretical failings, the result of many simplifying assumptions. But they may also be caused by difficulties in implementing valid tests of the model. For example, the CAPM says that the risk of a stock should be measured relative to a compre- hensive “market portfolio” that in principle can include not just traded financial assets, but also consumer durables, real estate and human capital. Even if we take a narrow view of the model and limit its purview to traded financial assets, is it 1 Although every asset pricing model is a capital asset pricing model, the finance profession reserves the acronym CAPM for the specific model of Sharpe (1964), Lintner (1965) and Black (1972) discussed here. -
Myron S. Scholes
WORLD ECONOMIST PROFILES 16 MYRON S. SCHOLES MYRON S. SCHOLES doc. PhDr. Monika Šestáková, DrSc. In 1997 the Nobel Prize for Econo- assets – whether financial or real. In mics was awarded to two distinguis- our article we focus on one of the two – hed American economists from the Myron S. Scholes, who became famous field of financial theory – Robert C. in the financial world primarily as the Merton and Myron S. Scholes.The prize co-author (together with Fischer Black) was granted to them for the original of the model for option pricing. This theoretical contribution in the field of model is the "classic” instrument of derivative pricing - i.e. pricing of secu- financial analysts as well as financial rities that are derived from other market traders. Myron S. Scholes was born on 1 July 1941 in the town work with many other leading theoreticians from the field of Timins in the Ontario province, Canada. of finance. It was here that his cooperation with Fischer The young Myron always had an interest in financial Black and Robert Merton began (even though they wor- issues and business. He was attracted to security trading. ked in different institutions). These economists were also He spent much time studying stock-exchange reports interested in issues of the security and derivative pricing. and attempted to understand the secrets lying behind Scholes still at the same time maintained his contacts price movements of securities. Myron Scholes began uni- with the University of Chicago, in particular with the Cen- versity studies in Hamilton at McMaster University, gra- ter for Research in Security Prices.