University of Toronto Financial Econometrics, ECO2411. Course Outline

Similar documents
Econometrics III: Financial Time Series

Econometrics III: Financial Time Series

Econometric Analysis of Tick Data

UNIVERSITY OF ROCHESTER

Estimation of High-Frequency Volatility: An Autoregressive Conditional Duration Approach

On Market Microstructure Noise and Realized Volatility 1

Estimating Bivariate GARCH-Jump Model Based on High Frequency Data : the case of revaluation of Chinese Yuan in July 2005

Forecasting Stock Index Futures Price Volatility: Linear vs. Nonlinear Models

Intraday and Interday Time-Zone Volatility Forecasting

NONLINEAR FEATURES OF REALIZED FX VOLATILITY

Estimation of Monthly Volatility: An Empirical Comparison of Realized Volatility, GARCH and ACD-ICV Methods

Modeling the extremes of temperature time series. Debbie J. Dupuis Department of Decision Sciences HEC Montréal

Modelling the stochastic behaviour of short-term interest rates: A survey

Volatility Models and Their Applications

Financial Time Series Volatility Analysis Using Gaussian Process State-Space Models

Estimating time-varying risk prices with a multivariate GARCH model

Dynamic conditional score volatility models Szabolcs Blazsek GESG seminar 30 January 2015 Universidad Francisco Marroquín, Guatemala

Asset Return Volatility, High-Frequency Data, and the New Financial Econometrics

Lecture Note 9 of Bus 41914, Spring Multivariate Volatility Models ChicagoBooth

Short-selling constraints and stock-return volatility: empirical evidence from the German stock market

University of Washington at Seattle School of Business and Administration. Asset Pricing - FIN 592

Time series: Variance modelling

Indian Institute of Management Calcutta. Working Paper Series. WPS No. 797 March Implied Volatility and Predictability of GARCH Models

Université de Montréal. Rapport de recherche. Empirical Analysis of Jumps Contribution to Volatility Forecasting Using High Frequency Data

ARCH and GARCH models

12. Conditional heteroscedastic models (ARCH) MA6622, Ernesto Mordecki, CityU, HK, 2006.

FE570 Financial Markets and Trading. Stevens Institute of Technology

Asset Price Dynamics, Volatility, and Prediction

The Asymmetric Volatility of Euro Cross Futures

ARCH Models and Financial Applications

1 Does Volatility Timing Matter?

Forecasting jumps in conditional volatility The GARCH-IE model

B Asset Pricing II Spring 2006 Course Outline and Syllabus

Portfolio construction by volatility forecasts: Does the covariance structure matter?

Topics in financial econometrics

On the Forecasting of Realized Volatility and Covariance - A multivariate analysis on high-frequency data 1

BRIDGING THE GAP BETWEEN THE DISTRIBUTION OF REALIZED (ECU) VOLATILITY AND ARCH MODELLING (OF THE EURO): THE GARCH-NIG MODEL

Components of bull and bear markets: bull corrections and bear rallies

Australian School of Business Working Paper

Stochastic Volatility in General Equilibrium

ARCH and GARCH Models

VERY PRELIMINARY AND INCOMPLETE.

ECONOMETRICS OF FINANCIAL MARKETS. MSc. in Quantitative Finance. Educational Aim

Non-linear ltering with state dependant transition probabilities: A threshold (size e ect) SV model

Exchange Rate Returns Standardized by Realized Volatility are (Nearly) Gaussian*

Viktor Todorov. Kellogg School of Management Tel: (847) Northwestern University Fax: (847) Evanston, IL

Absolute Return Volatility. JOHN COTTER* University College Dublin

Neil Shephard Oxford-Man Institute of Quantitative Finance, University of Oxford

Research Article The Volatility of the Index of Shanghai Stock Market Research Based on ARCH and Its Extended Forms

Unpublished Appendices to Déjà Vol: Predictive Regressions for Aggregate Stock Market Volatility Using Macroeconomic Variables

GARCH Models for Inflation Volatility in Oman

Keywords: Value-at-Risk, Realized volatility, skewed Student distribution, APARCH

ARCH modeling of the returns of first bank of Nigeria

On Optimal Sample-Frequency and Model-Averaging Selection when Predicting Realized Volatility

Financial Econometrics Notes. Kevin Sheppard University of Oxford

Application of Bayesian Network to stock price prediction

NONLINEAR RISK 1. October Abstract

A market risk model for asymmetric distributed series of return

Using MCMC and particle filters to forecast stochastic volatility and jumps in financial time series

Volatility Spillovers and Causality of Carbon Emissions, Oil and Coal Spot and Futures for the EU and USA

A Test of Asymmetric Volatility in the Nigerian Stock Exchange

Viktor Todorov. Kellogg School of Management Tel: (847) Northwestern University Fax: (847) Evanston, IL

Components of Market Risk and Return

Modeling Foreign Exchange Rates with Jumps

Unexpected volatility and intraday serial correlation

There are no predictable jumps in arbitrage-free markets

Nonlinear Dynamics in Financial Markets: Evidence and Implications. David A. Hsieh Fuqua School of Business Duke University.

TESTING FOR A UNIT ROOT IN THE VOLATILITY OF ASSET RETURNS

All Markets are not Created Equal - Evidence from the Ghana Stock Exchange

Volatility Analysis of Nepalese Stock Market

High-Frequency Data Analysis and Market Microstructure [Tsay (2005), chapter 5]

VALUE-AT-RISK FOR LONG AND SHORT TRADING POSITIONS

Indirect Inference for Stochastic Volatility Models via the Log-Squared Observations

Course information FN3142 Quantitative finance

Asian Economic and Financial Review A REGRESSION BASED APPROACH TO CAPTURING THE LEVEL DEPENDENCE IN THE VOLATILITY OF STOCK RETURNS

The empirical risk-return relation: a factor analysis approach

In this chapter we show that, contrary to common beliefs, financial correlations

A Cyclical Model of Exchange Rate Volatility

City, University of London Institutional Repository

FINA 9110 SECTION Asset Pricing: Theory and Evidence Terry College of Business University of Georgia Spring Semester 2009

Which Power Variation Predicts Volatility Well?

Comment. Peter R. Hansen and Asger Lunde: Realized Variance and Market Microstructure Noise

Estimation of Long Memory in Volatility

The University of Chicago, Booth School of Business Business 41202, Spring Quarter 2009, Mr. Ruey S. Tsay. Solutions to Final Exam

Foundations of Asset Pricing

Empirical Test of Affine Stochastic Discount Factor Model of Currency Pricing. Abstract

Volatility Clustering of Fine Wine Prices assuming Different Distributions

Study on Dynamic Risk Measurement Based on ARMA-GJR-AL Model

NCER Working Paper Series Modeling and forecasting realized volatility: getting the most out of the jump component

Yosef Bonaparte Finance Courses

Equity Price Dynamics Before and After the Introduction of the Euro: A Note*

Exchange Rate Returns Standardized by Realized Volatility are (Nearly) Gaussian *

Dynamics of Exchange Rates Using Inhomogenous Tick-by-tick Data. The Case of the EURRON Currency Pair.

Forward looking information in S&P 500 options

A Framework for Exploring the Macroeconomic Determinants of Systematic Risk

A Closer Look at High-Frequency Data and Volatility Forecasting in a HAR Framework 1

EIEF, Graduate Program Theoretical Asset Pricing

Research Division Federal Reserve Bank of St. Louis Working Paper Series

Good Volatility, Bad Volatility: Signed Jumps and the Persistence of Volatility

HAR volatility modelling. with heterogeneous leverage and jumps

Transcription:

University of Toronto Financial Econometrics, ECO2411 Course Outline John M. Maheu 2006 Office: 5024 (100 St. George St.), K244 (UTM) Office Hours: T2-4, or by appointment Phone: 416-978-1495 (100 St. George), 905-828-5375 (UTM) Class Times: T11-1, UC 255 Email: jmaheu@chass.utoronto.ca Homepage: http://www.chass.utoronto.ca/ jmaheu/2411.html Course Description: This course provides an introduction to the econometrics used in empirical finance. Topics will include parametric and nonparametric models of volatility, evaluation of asset pricing theories, and models for risk management, and transactions data. The course will emphasize estimation and inference using computer based applications. Grading: 40% assignments 60% term paper, due December 12, 2005 Text: Analysis of Financial Time Series, Ruey S. Tsay, Wiley-Interscience, 2005 This text can be purchased at the campus bookstore. Texts on Library Reserve: GJ: Financial Econometrics, Problems, Models and Methods, C. Gourieroux and J. Jasiak, Princeton University Press, 2001 CLM: The Econometrics of Financial Markets, J. Y. Campbell, A. W. Lo, A. C. MacKinlay Princeton University Press, 1996 Computer Assignments: 1

Students will complete computer assignments using Ox (or equivalent, Gauss, Matlab) econometric package. Computer work can be done on any of the student computers, or a personal version of Ox can be obtained free of charge from http://www.doornik.com/ox/. See the course website for links to Ox including downloading and documentation. Computer programming applications will be discussed extensively in class along with theory. Term Paper: Students are required to complete an applied econometric paper based on a finance topic of their choice. Please feel free to discuss the suitability of your topic with me. In selecting a topic it may be helpful to look at current and past periodicals on econometrics in the library or online through the library web page. Some suggested sources are: 1. Journal of Financial Econometrics 2. Journal of Business and Economic Statistics 3. Journal of Empirical Finance 4. Review of Economics and Statistics 5. Journal of Applied Econometrics Your paper can be completely original or you can base it on existing work using a different dataset and changing and/or expanding the analysis. The term paper should consist of an Introduction, Model Description, Results, and Conclusion with References included. All mathematical equations should be written properly in the text. As an example, consider the AR(1)-ARCH(1) model. y t = µ + φy t 1 + ɛ t ɛ t = σ t z t σ 2 t = ω + αɛ 2 t 1 where z t iid(0, 1), and µ, φ, ω, and α, are parameters to be estimated. Data sources should be included, along with footnotes, and correct citations. Using someone s idea or writings without a citation is plagiarism and University rules will be enforced. Your paper should be self contained. Finally, you should hand in two copies of your paper, and a disk with your computer code, the dataset and a file of your printout. 2

Topics to be covered: 1. Stylized features for financial data. Ch 1, Pagan (1996), CLM1,2 2. Review of linear time series models. Ch 2, GJ2 3. Parametric Volatility Models, GARCH and stochastic volatility. Ch 3, GJ6. Bollerslev (1986), Engle and Ng (1993), Bollerslev and Wooldridge (1992), Chan and Maheu (2002), Engle (2002), Tse and Tsui (2002), Ghysels, Harvey, and Renault (1996). 4. Nonparametric Volatility Measures. Andersen, Bollerslev, Diebold, and Labys (2001), Andersen, Bollerslev, Diebold, and Ebens (2001),Andersen, Bollerslev, Diebold, and Labys (2003), Barndorff-Nielsen and Shephard (2004b), Maheu (2004), Brandt and Diebold (2004), Andersen, Bollerslev, Diebold, and Wu (2004), Barndorff- Nielsen and Shephard (2004a), Fleming, Kirby, and Ostdiek (2003) 5. Nonlinear Models. Ch 4, CLM12 Maheu and McCurdy (2000) 6. Risk and Return. CLM7,8, GJ7,8, French, Schwert, and Stambaugh (1987), Turner, Startz, and Nelson (1989), Campbell and Hentschel (1992), Maheu and McCurdy (2005) 7. Modeling transaction data. Ch 5, CLM3, GJ10,14, Engle and Russell (1998) References Andersen, T., T. Bollerslev, F. X. Diebold, and P. Labys (2003): Modeling and Forecasting Realized Volatility, Econometrica, 71, 529 626. Andersen, T. G., T. Bollerslev, F. X. Diebold, and H. Ebens (2001): The Distribution of Realized Stock Return Volatility, Journal of Financial Economics, 61, 43 76. Andersen, T. G., T. Bollerslev, F. X. Diebold, and P. Labys (2001): The Distribution of Exchange Rate Volatility, Journal of the American Statistical Association, 96, 42 55. Andersen, T. G., T. Bollerslev, F. X. Diebold, and J. Wu (2004): Realized Beta: Persistence and Predictability, Manuscript, Northwestern University, Duke University and University of Pennsylvania. Barndorff-Nielsen, O. E., and N. Shephard (2004a): Econometric analysis of realised covariation: high frequency based covariance, regression and correlation in financial economics, Econometrica, 72(3), 885 925. 3

(2004b): Power and Bipower Variation with Stochastic Volatility and jumps, Journal of Financial Econometrics, 2, 1 48. Bollerslev, T. (1986): Generalized Autoregressive Conditional Heteroskedasticity, Journal of Econometrics, 31, 309 328. Bollerslev, T., and J. M. Wooldridge (1992): Quasi-Maximum Likelihood Estimation and Inference in Dynamic Models with Time-Varying Covariances, Econometric Reviews, 11, 143 172. Brandt, M. W., and F. X. Diebold (2004): A No-Arbitrage Approach to Range- Based Estimation of Return Covariances and Correlations, forthcoming, Journal of Business. Campbell, J. Y., and L. Hentschel (1992): No News is Good News: An Asymmetric Model of Changing Volatility in Stock Returns, Journal of Financial Economics, 31, 281 318. Chan, W. H., and J. M. Maheu (2002): Conditional Jump Dynamics in Stock Market Returns, Journal of Business & Economic Statistics, 20(3), 377 389. Engle, R. (2002): Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models, Journal of Business & Economic Statistics, 20(3), 339 350. Engle, R. F., and V. K. Ng (1993): Measuring and Testing the Impact of News on Volatility, Journal of Finance, 48(5), 1749 1778. Engle, R. F., and J. R. Russell (1998): Autoregressive Conditional Duration: A New Model for Irregularly Spaced Transaction Data, Econometrica, 66(5). Fleming, J., C. Kirby, and B. Ostdiek (2003): The economic value of volatility timing using realized volatility, Journal of Financial Economics, 67, 474 509. French, K. R., G. W. Schwert, and R. F. Stambaugh (1987): Expected Stock Returns and Volatility, Journal of Financial Economics, 19, 3 29. Ghysels, E., A. C. Harvey, and E. Renault (1996): Stochastic Volatility chap. 5, Handbook of Statistics vol. 14. Elsevier Science. Maheu, J. M. (2004): Modeling Persistent Time Series Data with Application to Realized Volatility, manuscript, University of Toronto. Maheu, J. M., and T. H. McCurdy (2000): Identifying Bull and Bear Markets in Stock Returns, Journal of Business & Economic Statistics, 18(1), 100 112. 4

Maheu, J. M., and T. H. McCurdy (2005): The Equity Premium: Merton Revisited, manuscript, University of Toronto. Pagan, A. (1996): The Econometrics of Financial Markets, Journal of Empirical Finance, 3, 15 102. Tse, Y. K., and A. K. C. Tsui (2002): A Multivariate Generalized Autoregressive Conditional Heteroscedasticity Model with Time-Varying Correlations, Journal of Business & Economic Statistics, 20(3), 351 362. Turner, C., R. Startz, and C. Nelson (1989): A Markov Model of Heteroskedasticity, Risk, and Learning in the Stock Market, Journal of Financial Economics, 25, 3 22. 5