17.03.2015 Views

Syllabus for Financial Econometrics

Syllabus for Financial Econometrics

Syllabus for Financial Econometrics

SHOW MORE
SHOW LESS

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.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!