Syllabus for Financial Econometrics
Syllabus for Financial Econometrics
Syllabus for Financial Econometrics
Transform your PDFs into Flipbooks and boost your revenue!
Leverage SEO-optimized Flipbooks, powerful backlinks, and multimedia content to professionally showcase your products and significantly increase your reach.
Lecturer: S.Gelman<br />
<strong>Syllabus</strong> <strong>for</strong> <strong>Financial</strong> <strong>Econometrics</strong><br />
Course description:<br />
<strong>Financial</strong> <strong>Econometrics</strong> course is a one semester course <strong>for</strong> the 1 st year MSc ICEF students. It is<br />
designed to cover some essential tools <strong>for</strong> working with financial data, including <strong>for</strong>ecasting<br />
returns, volatility and event studies. We focus on the empirical techniques which are mostly used<br />
in the analysis of financial markets and how they are applied to real-world data.<br />
Teaching Objectives:<br />
On completion of the course students should be:<br />
• Familiar with the basic tools available to financial economists <strong>for</strong> testing theories,<br />
estimating the parameters of economic relationships in financial markets and <strong>for</strong>ecasting<br />
financial variables.<br />
• Able to read, understand and replicate the results with the use of real-world data of some<br />
core papers in finance using standard computer packages.<br />
• Trained in the writing up of reports and their subsequent communication, both in written<br />
<strong>for</strong>m and in the context of a presentation to a class.<br />
Prerequisites<br />
The students are expected to have a thorough mathematical and statistical background. Prior<br />
mathematical knowledge should include multivariate calculus, linear algebra and matrix analysis<br />
(in particular, basic rules of matrix differentiation). As <strong>for</strong> the statistical background, students<br />
should be familiar with key concepts of probability theory as well as with hypothesis testing,<br />
linear regression, maximum likelihood and basics of time-series analysis. However, the most<br />
important prerequisite is a solid background in the key concepts of finance theory, in particular:<br />
risk-aversion and expected–utility theory, static mean-variance portfolio theory, CAPM and APT<br />
as well as dynamic asset pricing models.<br />
The demands of the course are likely to be computation-intensive there<strong>for</strong>e some rudimentary<br />
programming and data analysis skills are necessary.<br />
Teaching methods<br />
The following methods and <strong>for</strong>ms of study are used in the course:<br />
- lectures (2 hours a week)<br />
- tutorials (2 hours a week, half of the tutorials is devoted to theoretical and applied analysis,<br />
and another half is conducted in the computer room and is devoted to practical applications<br />
of the econometric methods studied in the course)<br />
- home assignments <strong>for</strong> each topic consisting of theoretical and applied parts (several<br />
assignments, not exceeding 7 in number)<br />
- presentation and discussion of contemporary research in empirical finance related to the<br />
topics under study (4-6 hours on total, adequately distributed among the topics; presentations<br />
take place during lecture or class hours)<br />
- teachers’ consultations<br />
The following method can be used in the course:<br />
- Research paper (essay). Students are expected to come up with research ideas on the topics<br />
under study and apply techniques learned in the course. Alternatively they can choose a<br />
research question from a list. The essay should be a 10-12 pages (3000-4000 words)<br />
empirical study with the use of real-world financial data (from Datastream, Bloomberg,<br />
economic data bases, ICEF in<strong>for</strong>mation system, etc.). The estimation should be conducted in
a computer room, using Econometric Views, RATS and other available statistical<br />
applications.<br />
In total the course includes: 34 hours of lectures and 34 hours of tutorials.<br />
Textbooks, journal articles and other literature used in the course.<br />
Students should use the following two books as the main course text:<br />
1. John Campbell, Andrew Lo, Archie MacKinlay (1997). The <strong>Econometrics</strong> of <strong>Financial</strong><br />
Markets, Princeton University Press. (CLM)<br />
2. Ruey S. Tsay (2002). Analysis of <strong>Financial</strong> Time Series. Wiley. (RT)<br />
By several topics it is strongly recommended to refer further to the following textbooks:<br />
3. Walter Enders (2003). Applied econometric time series, Wiley. (WE)<br />
4. Juergen Franke, Wolfgang Haerdle, Christian Hafner (2004). Statistics of <strong>Financial</strong><br />
Markets, Springer. (FHH)<br />
5. Chris Brooks (2002). Introductory econometrics <strong>for</strong> finance, Cambridge University Press.<br />
(CB)<br />
6. John H. Cochrane (2005). Asset Pricing, Princeton University Press. (JC)<br />
7. Hamilton, J. (1994), Time Series Analysis, Princeton University Press, Princeton. (JH)<br />
More precise references and further reading (e.g. journal articles) are provided in course outline<br />
below, following the corresponding topic.<br />
Course outline<br />
1. Properties of financial data<br />
CLM: Ch. 1<br />
RT: Ch. 1<br />
The main properties of financial data will be discussed in this introductory section.<br />
First, I will address the sources of getting the data. We are going to discuss such databases as<br />
Bloomberg, Datastream and CRSP-Compustat, as well as some open sources available on the<br />
Internet. We shall cover basic database usage and special features, necessary trans<strong>for</strong>mations<br />
of raw financial data <strong>for</strong> meaningful analysis.<br />
Second, we will proceed with main statistic properties of financial data: stationarity issue,<br />
distribution functions and so on.<br />
(4 lecture hours; 4 class hours)<br />
2. Forecasting and return predictability<br />
2.1. Quick Review of Time Series Models and Forecasting<br />
RT: Ch. 2<br />
WE: Ch. 2<br />
JH: Ch. 4<br />
(8 lecture hours; 8 class hours)
2.2. Tests of return predictability<br />
CLM: Ch. 2-3<br />
Lo, A., 1991, "Long-Term Memory in Stock Market Prices," Econometrica 59,<br />
1279-1313.<br />
Lo, A. and C. MacKinlay, 1988, "Stock Market Prices Do Not Follow Random<br />
Walks: Evidence from a Simple Specification Test," Review of <strong>Financial</strong> Studies<br />
1, 41-66.<br />
Bossaerts, P., and P. Hillion, 1999, Implementing Statistical Criteria to Select<br />
Return Forecasting Models: What Do We Learn? Review of <strong>Financial</strong> Studies 12,<br />
405-428.<br />
Fama, E. and K. French, 1988, Dividend Yields and Expected Stock Returns,<br />
Journal of <strong>Financial</strong> Economics 22, 3-26.<br />
(2 lecture hours; 2 class hours)<br />
2.3. Forecast Evaluation<br />
Diebold, F. X. and Lopez, J. A.: 1996, Forecast evaluation and combination, in G.<br />
Maddala and C. Rao (eds), The Handbook of Statistics, Vol. 14, Elsevier North<br />
Holland.<br />
Sullivan, R., Timmermann, A. and White, H.: 1999, Data-snooping, technical<br />
trading rule per<strong>for</strong>mance, and the bootstrap, Journal of Finance 54, 1647–1691.<br />
Patton, A. and Timmermann, A.: 2005, Properties of optimal <strong>for</strong>ecasts under<br />
asymmetric loss and nonlinearity, <strong>for</strong>thcoming in Journal of <strong>Econometrics</strong>.<br />
White, H.: 2000, A reality check <strong>for</strong> data snooping, Econometrica 68, 1097–1126.<br />
(2 lecture hours; 2 class hours)<br />
3. Volatility<br />
RT: Ch. 3<br />
WE: Ch. 3<br />
3.1. GARCH<br />
Engle, R. F.: 1982, Autoregressive conditional heteroscedasticity with estimates<br />
of the variance of United Kingdom inflation, Econometrica 50, 987–1008.<br />
Bollerslev, T.: 1986, Generalized autoregressive conditional heteroskedasticity,<br />
Journal of <strong>Econometrics</strong> 31, 307–327.<br />
Engle, R. F., Lilien, D. M. and Robins, R. P.: 1987, Estimating time varying risk<br />
premia in the term structure: The arch-m model, Econometrica 55, 391–407.<br />
Engle, R.F., Patton, A., 2001, What good is a volatility model?, Quantative<br />
Finance 1, 237-245<br />
(6 lecture hours; 6 class hours)<br />
3.2. Asymmetric GARCH<br />
Glosten, L. R., Jaganathan R., and Runkle D. E. (1993). On the relation between<br />
the expected value and the volatility of nominal excess return on stocks. Journal<br />
of Finance 48, 1779-1801.<br />
Zakoian, J. M. (1994). Threshold heteroscedastic models. Journal of Economic<br />
Dynamics and Control 18, 931-955<br />
Nelson, D. B. (1991). Conditinal heteroscedasticity in asset returns: A new<br />
approach. Econometrica 59, 347-370.<br />
(4 lecture hours; 4 class hours)<br />
3.3. Volatility specification checking<br />
Wooldridge, J. M.: 1990, A unified approach to robust, regression-based<br />
specification tests, Econometric Theory 6, 17–43.<br />
Andersen, T. G. and Bollerslev, T.: 1998, Answering the skeptics: Yes, standard<br />
volatility models do provide accurate <strong>for</strong>ecasts, International Economic Review<br />
39(4), 885–905.
Lunde, A. and Hansen, P. R.: 2001, A <strong>for</strong>ecast comparison of volatility models:<br />
Does anything beat a garch(1,1)?, Working Papers 2001-04, Brown University,<br />
Department of Economics.<br />
(2 lecture hours; 2 class hours)<br />
4. Event Study Methodology<br />
CLM: Ch. 4<br />
Boehmer, E., Musumeci, J. and A. Poulsen, 1991, Event-Study Methodology under<br />
Conditions of Event-Induced Variance, Journal of <strong>Financial</strong> Economics 30, 253-272.<br />
Fama, E., Fisher, L., Jensen, M. and R. Roll, 1969, The Adjustment of Stock Prices to New<br />
In<strong>for</strong>mation, International Economic Review 10, 1-21.<br />
Prabhala, N., 1997, Conditional Methods in Event Studies and an Equilibrium Justification<br />
<strong>for</strong> Standard Event-Study Procedures, Review of <strong>Financial</strong> Studies 10, 1-38.<br />
(2 lecture hours; 2 class hours)<br />
Typical problems and assignments <strong>for</strong> exams and coursework<br />
I. Typical empirical class assignment (Topic: 4. Volatility):<br />
The file “m-gmsp5099.dat” contains monthly log returns, in percentages, of General Motors<br />
stock and S&P 500 index from 1950 to 1999.<br />
(a) Build a Gaussian GARCH model <strong>for</strong> the monthly log returns of S&P 500 index. Check<br />
the model carefully.<br />
(b) Is there a Summer effect on the volatility of the index return? Use the GARCH model<br />
built in part (a) to answer this question.<br />
(c) Are lagged returns of GM stock useful in modeling the index volatility? Again, use the<br />
GARCH model of part (a) as a baseline model <strong>for</strong> comparison.<br />
II. Typical theoretical class assignment (Topic 4):<br />
Derive multistep ahead <strong>for</strong>ecast <strong>for</strong> a GARCH (1, 2) model at the <strong>for</strong>ecast origin h.<br />
III. Typical research paper (essay) assignments:<br />
1. Seasonalities in Lukoil daily stock returns (Topic 3)<br />
Grade determination<br />
About 80% of the final grade is determined by the exam paper at the end of the course and<br />
home assignments can determine up to 20% of the final grade.<br />
Students should be able to use computers and econometric software to solve empirical exam<br />
problems. About 50% of the exam problems is of empirical nature. Taking the example<br />
assignments above, students should have about 30 minutes <strong>for</strong> an empirical assignment such<br />
as I. and about 10 minutes <strong>for</strong> a theoretical assignment similar to II.<br />
One could introduce an extended learning achievement evaluation scheme, and include a<br />
research paper (see III.) as well as a midterm test, which could receive weights of about 15%<br />
each at the expense of the final exam’s weight.