• Course Introduction
• Computing Asset Returns
• Getting financial data from Yahoo!
• Excel calculations
• Univariate random variables and distributions
• Characteristics of distributions
• The normal distribution
• Linear function of random variables
• Quantiles of a distribution, Value-at-Risk
• Bivariate distributions
• Covariance, correlation, autocorrelation
• Linear combinations of random variables
• Time Series concepts
• Matrix algebra
• Descriptive statistics: histograms, sample means, variances, covariances and autocorrelations
• The constant expected return model.
• Monte Carlo simulation
• Standard errors of estimates
• Confidence intervals
• Bootstrapping standard errors and confidence intervals
• Hypothesis testing
• Introduction to portfolio theory
• Optimization
• Markowitz algorithm
• Markowitz Algorithm using the solver and matrix algebra
• Risk budgeting
• Statistical Analysis of Efficient Portfolios
• Beta as a measure of portfolio risk
• The Single Index Model
• Estimating the Single Index Model using simple linear regression