FINM334, Statistical Risk Management

Spring 2008

The Final Exam will be in KPTC (Kersten) 106.

For the final exam you can bring midterm sheet plus one new double paged sheet.



Exams

  • Midterm will be on Monday 28 April 6pm-8pm. Place will be announced later. Students are allowed to bring one standard page of handwritten information, double paged. Problems will be based on Lectures 1-4 plus Homeworks 1-3.
  • For those students that cannot make it to the midterm the final exam will count 85%.
  • The final exam will be on Monday 9 June 6pm-9pm at KPTC (Kersten) 106. Students are allowed to bring their midterm sheet plus one new standard page of handwritten information, double paged. Problems are based on Lectures 1-7 plus Homeworks 1-7.

    Literature

  • Notes are prepared every week and can be downloaded from this site. Useful additional literature is

    Recommended Literature

  • A.J. McNeil, R. Frey and E. Embrechts. Quantitative Risk Management. Princeton Series in Finance, 2005
  • Y. Malevergne and D. Sornette, Extreme Financial Risks, from Dependence to Risk Management. Springer, 2006. To manuscript
  • E. Jondeau, S-H Poon and M. Rockinger. Financial Modeling under Non-Gaussian Distributions. Springer, 2007. To manuscript

    Of these, my notes will rely most heavily on the book by McNeil and al. So if your budget just allows you to buy one book, this is the one.

    Preliminary Scedule

  • Lecture 1: Geometric Brownian motion, univariate statistical distributions, basic notions of risk management, q-q plots, generation of random variables.
  • Lecture 2: Multivariate normal distribution, maximum likelihood estimators, delta method, goodness of fit tests, optimization methods.
  • Lecture 3: Extreme value theory.
  • Lecture 4: Time series. ARMA models. Nonstationary time series.
  • Lecture 5: ARCH and GARCH time series. Random volatility models. Applications to risk management.
  • Lecture 6: Multivariate statistical distributions, multivariate extreme value theory
  • Lecture 7: Copulas
  • Lecture 8: Measures of association, multivariate risk management.

    Computing

    Examples are based on the programming language R, and so are answers to homeworks. If you want, you can use other languages, but then on your own responsibility. A very useful book with R (and Splus) is

  • W.N. Venables and B.D. Ripley. Modern Applied Statistics with S. Springer

    Instructors

    Lecturer: Jostein Paulsen Email: jostein@galton.uchicago.edu

    TA:
    Martin Hunting,hunting@uchicago.edu
    Nick Longo,nmichalo@math.uchicago.edu
    Eric Patterson,eric@math.uchicago.edu

    TA: Stamford
    Ramesh Kadambi Ramesh.Kadambi@ubs.com

    Times and places

  • Lectures: Monday 6pm to 9pm in Room 251 Ryerson Building.

  • Office hours TA:
    Monday: 4.45pm-5.45pm in Eckhardt 3
    Wednesday: 3pm-4pm in Financial Math Lounge
    Friday: 3.30pm-4.30pm in Eckhardt 3

  • Problem session: Friday 2.30pm-3.30pm in Eckhardt 308.

    Lecture Notes

  • Set 1
  • Set 2
  • Set 3
  • Set 4
  • Set 5
  • Set 6
  • Set 7
  • Set 8

    Homework

  • Homework is due on the Monday lectures the following week. There are 7 homeworks. The 6 best will count.

  • Homework 1
  • Homework 2
  • Homework 3
  • Homework 4
  • Homework 5
  • Homework 6
  • Homework 7

    Data files

  • sap1.csv
  • spbond.csv
  • nasdaq.csv
  • pot.q
  • ts.txt
  • indexd.txt