1. Analyzing the properties of financial time series : application to French stock markets
The data consists of the stocks of the French CAC40 on a daily basis since 1980. Data are provided in excel format and need to be download to GRETL. Different companies are used as examples.
- Computing returns and historical volatility and analyzing their graphs (mean, variance, skewness and kurtosis, quantiles, min and max, autocorrelation)
- Analyzing the distributions of returns : non-parametric approaches (histograms and CDF based on kernels ; normality tests : QQ plot, Shapiro-Wilkinson, Doornik-Hansen, Jarque-Bera, etc.)
- Informal presentation of stable distributions : index of stability, skewness parameter, scale parameter, location parameter
- Example of parametrization of a stable distribution : the regression analysis of power law distributions.
2. Regression analysis of financial data
2.1.Evaluating the performance of a money manager : CAPM model
The data consist of the S&P 500 and some of its components (General Electric, Ford, Microsoft, ORACLE) and the 3-month Treasury bill).
- Estimate of the Betas using OLS and GLS
- Test of the CAPM using a two-pass regression
- The Jensen measure to evaluate manager performance.
2.2. Modellling the term structure of interest rates
The data consist of the Government zero-coupon bond yield taken at a daily frequency from 1990 to 2017 with several maturities : 6 months, 1 year, 2 years, 4, years, 4 years, 5 years, 7 years and 10 years.
- Analyzing some basic stylized facts of government bond yields (graphs of term to maturity, statistical properties, normality tets, correlation matrix, etc…).
- Recall on asset pricing, Duffie-Kan affine models and the decomposition of the yield curve.
- Decomposition of the tield curve using the Diebold’s regression approach : Level, slope and curvature curves.
- Factor models : a basic presentation of Kalman filter methodology and applications to the yield curve.
3.Some benchmark models for forecasting and trading models
The data consists of US/euro, US/Japan, US/UK exchange rate (daily) from 1999 and 1977 to 2017.
3.1.Models of naïve and MACD (moving average) strategies
3.2.ARMA models (identification via ACF and PACF, estimation, residual tests and forecasts)
3.3.Dectecting long-range dependence structure : an introduction to ARFIMA models
3.4.Introduction to stochastic volatility models : Harvey models and ARCH-GARCH models (tests and estimation).