ECON 424/AMATH 462: Computational Finance and Financial Econometrics Course Description
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Financial Econometrics Lecture Notes
Financial Econometrics Lecture Notes Professor Doron Avramov The Hebrew University of Jerusalem & Chinese University of Hong Kong Introduction: Why do we need a course in Financial Econometrics? 2 Professor Doron Avramov, Financial Econometrics Syllabus: Motivation The past few decades have been characterized by an extraordinary growth in the use of quantitative methods in the analysis of various asset classes; be it equities, fixed income securities, commodities, and derivatives. In addition, financial economists have routinely been using advanced mathematical, statistical, and econometric techniques in a host of applications including investment decisions, risk management, volatility modeling, interest rate modeling, and the list goes on. 3 Professor Doron Avramov, Financial Econometrics Syllabus: Objectives This course attempts to provide a fairly deep understanding of such techniques. The purpose is twofold, to provide research tools in financial economics and comprehend investment designs employed by practitioners. The course is intended for advanced master and PhD level students in finance and economics. 4 Professor Doron Avramov, Financial Econometrics Syllabus: Prerequisite I will assume prior exposure to matrix algebra, distribution theory, Ordinary Least Squares, Maximum Likelihood Estimation, Method of Moments, and the Delta Method. I will also assume you have some skills in computer programing beyond Excel. MATLAB and R are the most recommended for this course. OCTAVE could be used as well, as it is a free software, and is practically identical to MATLAB when considering the scope of the course. If you desire to use STATA, SAS, or other comparable tools, please consult with the TA. 5 Professor Doron Avramov, Financial Econometrics Syllabus: Grade Components Assignments (36%): there will be two problem sets during the term. -
Researchers in Computational Finance / Quant Portfolio Analysts Limassol, Cyprus
Researchers in Computational Finance / Quant Portfolio Analysts Limassol, Cyprus Award winning Hedge Fund is seeking to build their team with top researchers to join their offices in Limassol, Cyprus. IKOS is an investment advisor that deploys quantitative hedge fund strategies to trade the global financial markets, with a long and successful track record. This is an exciting opportunity to join a fast growing company that is focused on the development of the best research and trading infrastructure. THE ROLE We are looking for top class mathematicians to work with us in modern quantitative finance. Our researchers participate in novel financial analysis and development efforts that require significant application of mathematical modelling techniques. The position involves working within the Global Research team; there is also significant interaction with the trading and fund management teams. The objective is the development of innovative products and computational methods in the equities, futures, currency and fixed income markets. In addition, the role involves statistical analysis of portfolio risk and returns, involvement in the portfolio management process and monitoring and analysing transactions on an ongoing basis. THE INDIVIDUAL The successful candidates will have a first class degree and practical science or engineering problem solving skills through a PhD in mathematics or mathematical sciences, together with excellent all round analytical and programming abilities. The following skills are also prerequisites for the job: -
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 -
The Law and Economics of Hedge Funds: Financial Innovation and Investor Protection Houman B
digitalcommons.nyls.edu Faculty Scholarship Articles & Chapters 2009 The Law and Economics of Hedge Funds: Financial Innovation and Investor Protection Houman B. Shadab New York Law School Follow this and additional works at: http://digitalcommons.nyls.edu/fac_articles_chapters Part of the Banking and Finance Law Commons, and the Insurance Law Commons Recommended Citation 6 Berkeley Bus. L.J. 240 (2009) This Article is brought to you for free and open access by the Faculty Scholarship at DigitalCommons@NYLS. It has been accepted for inclusion in Articles & Chapters by an authorized administrator of DigitalCommons@NYLS. The Law and Economics of Hedge Funds: Financial Innovation and Investor Protection Houman B. Shadab t Abstract: A persistent theme underlying contemporary debates about financial regulation is how to protect investors from the growing complexity of financial markets, new risks, and other changes brought about by financial innovation. Increasingly relevant to this debate are the leading innovators of complex investment strategies known as hedge funds. A hedge fund is a private investment company that is not subject to the full range of restrictions on investment activities and disclosure obligations imposed by federal securities laws, that compensates management in part with a fee based on annual profits, and typically engages in the active trading offinancial instruments. Hedge funds engage in financial innovation by pursuing novel investment strategies that lower market risk (beta) and may increase returns attributable to manager skill (alpha). Despite the funds' unique costs and risk properties, their historical performance suggests that the ultimate result of hedge fund innovation is to help investors reduce economic losses during market downturns. -
Master of Science in Finance (MSF) 1
Master of Science in Finance (MSF) 1 MASTER OF SCIENCE IN FINANCE (MSF) MSF 501 MSF 505 Mathematics with Financial Applications Futures, Options, and OTC Derivatives This course provides a systematic exposition of the primary This course provides the foundation for understanding the price mathematical methods used in financial economics. Mathematical and risk management of derivative securities. The course starts concepts and methods include logarithmic and exponential with simple derivatives, e.g., forwards and futures, and develops functions, algebra, mean-variance analysis, summations, matrix the concept of arbitrage-free pricing and hedging. Based upon algebra, differential and integral calculus, and optimization. The the work of Black, Scholes, and Merton, the course extends their course will include a variety of financial applications including pricing model through the use of lattices, Monte Carlo simulation compound interest, present and future value, term structure of methods, and more advanced strategies. Mathematical tools in interest rates, asset pricing, expected return, risk and measures stochastic processes are gradually introduced throughout the of risk aversion, capital asset pricing model (CAPM), portfolio course. Particular emphasis is given to the pricing of interest rate optimization, expected utility, and consumption capital asset pricing derivatives, e.g., FRAs, swaps, bond options, caps, collars, and (CCAPM). floors. Lecture: 3 Lab: 0 Credits: 3 Prerequisite(s): MSF 501 with min. grade of C and MSF 503 with min. grade of C and MSF 502 with min. grade of C MSF 502 Lecture: 3 Lab: 0 Credits: 3 Statistical Analysis in Financial Markets This course presents and applies statistical and econometric MSF 506 techniques useful for the analysis of financial markets. -
From Big Data to Econophysics and Its Use to Explain Complex Phenomena
Journal of Risk and Financial Management Review From Big Data to Econophysics and Its Use to Explain Complex Phenomena Paulo Ferreira 1,2,3,* , Éder J.A.L. Pereira 4,5 and Hernane B.B. Pereira 4,6 1 VALORIZA—Research Center for Endogenous Resource Valorization, 7300-555 Portalegre, Portugal 2 Department of Economic Sciences and Organizations, Instituto Politécnico de Portalegre, 7300-555 Portalegre, Portugal 3 Centro de Estudos e Formação Avançada em Gestão e Economia, Instituto de Investigação e Formação Avançada, Universidade de Évora, Largo dos Colegiais 2, 7000 Évora, Portugal 4 Programa de Modelagem Computacional, SENAI Cimatec, Av. Orlando Gomes 1845, 41 650-010 Salvador, BA, Brazil; [email protected] (É.J.A.L.P.); [email protected] (H.B.B.P.) 5 Instituto Federal do Maranhão, 65075-441 São Luís-MA, Brazil 6 Universidade do Estado da Bahia, 41 150-000 Salvador, BA, Brazil * Correspondence: [email protected] Received: 5 June 2020; Accepted: 10 July 2020; Published: 13 July 2020 Abstract: Big data has become a very frequent research topic, due to the increase in data availability. In this introductory paper, we make the linkage between the use of big data and Econophysics, a research field which uses a large amount of data and deals with complex systems. Different approaches such as power laws and complex networks are discussed, as possible frameworks to analyze complex phenomena that could be studied using Econophysics and resorting to big data. Keywords: big data; complexity; networks; stock markets; power laws 1. Introduction Big data has become a very popular expression in recent years, related to the advance of technology which allows, on the one hand, the recovery of a great amount of data, and on the other hand, the analysis of that data, benefiting from the increasing computational capacity of devices. -
Advanced Financial Econometrics
MFE 2013-14 Trinity Term | Advanced Financial Econometrics Advanced Financial Econometrics Kevin Sheppard Department of Economics Oxford-Man Institute of Quantitative Finance Course Site: http://www.kevinsheppard.com/Advanced_Econometrics Weblearn Site: https://weblearn.ox.ac.uk/portal/site/socsci/sbs/mfe2012_2013/ttafe 1 Aims, objectives and intended learning outcomes 1.1 Basic aims This course aims to extend the core tools of Financial Econometrics I & II to some advanced forecasting problems. The first component covers techniques for working with many forecasting models – often referred to as data snoop- ing. The second component covers techniques for handling many predictors – including the case where the number of predictors is much larger than the number of data points available. 1.2 Specific objectives Part I (Week 1 – 4) Revisiting the bootstrap and extensions appropriate for time-series data • Technical trading rules and large number of forecasts • Formalized data-snooping robust inference • False-discovery rates • Detecting sets of models that are statistically indistinguishable • Part I (Week 5 – 8) Dynamic Factor Models and Principal Component Analysis • The Kalman Filter and Expectations-Maximization Algorithm • Partial Least Squares and the 3-pass Regression Filter • Regularized Reduced Rank Regression • 1.3 Intended learning outcomes Following class attendance, successful completion of assigned readings, assignments, both theoretical and empiri- cal, and recommended private study, students should be able to Detect superior performance using methods that are robust to data snooping • Produce and evaluate forecasts in for macro-financial time series in data-rich environments • 1 2 Teaching resources 2.1 Lecturing Lectures are provided by Kevin Sheppard. Kevin Sheppard is an Associate Professor and a fellow at Keble College. -
An Introduction to Financial Econometrics
An introduction to financial econometrics Jianqing Fan Department of Operation Research and Financial Engineering Princeton University Princeton, NJ 08544 November 14, 2004 What is the financial econometrics? This simple question does not have a simple answer. The boundary of such an interdisciplinary area is always moot and any attempt to give a formal definition is unlikely to be successful. Broadly speaking, financial econometrics is to study quantitative problems arising from finance. It uses sta- tistical techniques and economic theory to address a variety of problems from finance. These include building financial models, estimation and inferences of financial models, volatility estimation, risk management, testing financial economics theory, capital asset pricing, derivative pricing, portfolio allocation, risk-adjusted returns, simulating financial systems, hedging strategies, among others. Technological invention and trade globalization have brought us into a new era of financial markets. Over the last three decades, enormous number of new financial products have been created to meet customers’ demands. For example, to reduce the impact of the fluctuations of currency exchange rates on a firm’s finance, which makes its profit more predictable and competitive, a multinational corporation may decide to buy the options on the future of foreign exchanges; to reduce the risk of price fluctuations of a commodity (e.g. lumbers, corns, soybeans), a farmer may enter into the future contracts of the commodity; to reduce the risk of weather exposures, amuse parks (too hot or too cold reduces the number of visitors) and energy companies may decide to purchase the financial derivatives based on the temperature. An important milestone is that in the year 1973, the world’s first options exchange opened in Chicago. -
Challenges in Macro-Finance Modeling
Finance and Economics Discussion Series Divisions of Research & Statistics and Monetary Affairs Federal Reserve Board, Washington, D.C. Challenges in Macro-Finance Modeling Don Kim 2008-06 NOTE: Staff working papers in the Finance and Economics Discussion Series (FEDS) are preliminary materials circulated to stimulate discussion and critical comment. The analysis and conclusions set forth are those of the authors and do not indicate concurrence by other members of the research staff or the Board of Governors. References in publications to the Finance and Economics Discussion Series (other than acknowledgement) should be cleared with the author(s) to protect the tentative character of these papers. CHALLENGES IN MACRO-FINANCE MODELING DON H. KIM∗ Abstract. This paper discusses various challenges in the specification and implemen- tation of “macro-finance” models in which macroeconomic variables and term structure variables are modeled together in a no-arbitrage framework. I classify macro-finance models into pure latent-factor models (“internal basis models”) and models which have observed macroeconomic variables as state variables (“external basis models”), and examine the underlying assumptions behind these models. Particular attention is paid to the issue of unspanned short-run fluctuations in macro variables and their poten- tially adverse effect on the specification of external basis models. I also discuss the challenge of addressing features like structural breaks and time-varying inflation uncer- tainty. Empirical difficulties in the estimation and evaluation of macro-finance models are also discussed in detail. 1. introduction In recent years there has been much interest in developing “macro-finance models”, in which yields on nominal bonds are jointly modeled with one or more macroeconomic variables within a no-arbitrage framework. -
From Arbitrage to Arbitrage-Free Implied Volatilities
Journal of Computational Finance 20(3), 31–49 DOI: 10.21314/JCF.2016.316 Research Paper From arbitrage to arbitrage-free implied volatilities Lech A. Grzelak1,2 and Cornelis W. Oosterlee1,3 1Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, The Netherlands; email: [email protected] 2ING, Quantiative Analytics, Bijlmerplein 79, 1102 BH, Amsterdam, The Netherlands 3CWI: National Research Institute for Mathematics and Computer Science, Science Park 123, 1098 XG, Amsterdam, The Netherlands; email: [email protected] (Received October 14, 2015; revised March 6, 2016; accepted March 7, 2016) ABSTRACT We propose a method for determining an arbitrage-free density implied by the Hagan formula. (We use the wording “Hagan formula” as an abbreviation of the Hagan– Kumar–Le´sniewski–Woodward model.) Our method is based on the stochastic collo- cation method. The principle is to determine a few collocation points on the implied survival distribution function and project them onto the polynomial of an arbitrage- free variable for which we choose the Gaussian variable. In this way, we have equality in probability at the collocation points while the generated density is arbitrage free. Analytic European option prices are available, and the implied volatilities stay very close to those initially obtained by the Hagan formula. The proposed method is very fast and straightforward to implement, as it only involves one-dimensional Lagrange interpolation and the inversion of a linear system of equations. The method is generic and may be applied to other variants or other models that generate arbitrage. Keywords: arbitrage-free density; collocation method; orthogonal projection; arbitrage-free volatility; SCMC sampler; implied volatility parameterization. -
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.