Mean, Variance and Covariance
Investors seek to manage portfolio risk while maintaining returns. This involves understanding portfolio risk components. Diversification, particularly with assets having low correlations, can mitigate risk without necessarily lowering returns. Portfolio return is the weighted average of individual asset returns. Portfolio…
Risk Aversion
Risk aversion is related to investor behavior. Some investors are more comfortable with uncertainty in the outcome than others and are prepared to tolerate more risk in the pursuit of greater portfolio returns. Risk Seeking Risk seekers actively pursue risk…
What Are Asset Classes?
All asset classes have risk and return characteristics. Historical returns are neither forward-looking nor expected returns. Nevertheless, it is noteworthy that by examining the performance of the historical returns, we can understand the likely characteristics of a particular asset class….
Business Cycle and Its Phases
A business or economic cycle is a recurring sequence of alternating expansions (upswings) and contractions (downturns) in economic activity affecting broad segments of the economy. The phases of a business cycle occur at approximately the same time in an economy….
Oligopoly Competition
Demand Analysis under Oligopoly Competition The demand curves in oligopoly markets are influenced by the level of pricing interdependence among firms. When collusion exists in a market, the aggregate market demand curve is divided among the individual producers. In the…
CAPM Regression Estimates: Alpha, Beta, Market Risk Premium, and Expected Return
Why CAPM Belongs in a Regression Learning Module The capital asset pricing model, or CAPM, links expected return to systematic risk. The model says that investors should be compensated for bearing market risk, not for risks that can be diversified…
Predicted Values, Standard Error, Prediction Intervals, and Functional Forms in Regression
Why Prediction Requires More Than a Fitted Line Regression is often used because analysts want to predict something: next month’s asset return, a company’s sales growth, a credit spread, a fund’s factor exposure, or a macroeconomic variable. The fitted line…
Regression Assumptions, Residual Analysis, Goodness of Fit, Coefficients, and ANOVA in Finance
The first step in regression is estimating a line. The second, more important step is deciding whether the estimated line deserves the analyst’s confidence. A regression output can look mathematically precise while still being economically misleading. The slope can be…
Simple Linear Regression in Finance: Least Squares, Intercepts, Slopes, and Interpretation
Why Linear Regression Matters in Finance Investment professionals rarely observe relationships directly. They observe data: asset returns, earnings growth, inflation, interest rates, credit spreads, valuation multiples, factor exposures, transaction costs, fund flows, and other market variables. Linear regression gives the…
Monte Carlo Simulation in Finance: Modeling Asset Prices, Returns, and Investment Risk
Monte Carlo simulations are about producing many random variables based on specific probability distributions. This helps estimate the probability of various outcomes. We will give an example to illustrate the Monte Carlo Simulation implementation. Steps Involved in Project Appraisal Imagine…




