Portfolio Analysis
Portfolio managers concentrate their efforts on achieving the best possible trade-off between risk and return. For portfolios constructed from a fixed set of assets, the risk/return profile varies with the portfolio composition. Portfolios that maximize the return, given the risk, or, conversely, minimize the risk for the given return, are called optimal. Optimal portfolios define a line in the risk/return plane called the efficient frontier. For information on portfolio optimization, see Portfolio Optimization Functions.
Functions
ewstats | Expected return and covariance from return time series | 
frontier | Rolling efficient frontier | 
portalloc | Optimal capital allocation to efficient frontier portfolios | 
portror | Portfolio expected rate of return | 
selectreturn | Portfolio configurations from 3-D efficient frontier | 
targetreturn | Portfolio weight accuracy | 
portrand | Randomized portfolio risks, returns, and weights | 
portopt | Portfolios on constrained efficient frontier | 
portsim | Monte Carlo simulation of correlated asset returns | 
portstats | Portfolio expected return and risk | 
portvar | Variance for portfolio of assets | 
portvrisk | Portfolio value at risk (VaR) | 
periodicreturns | Periodic total returns from total return prices | 
totalreturnprice | Total return price time series | 
adjustedClosingPrices | Adjust closing stock prices for splits and cash dividends (Since R2024a) | 
rollingreturns | Period-over-period rolling returns or differences from prices | 
addBusinessCalendar | Add business calendar awareness to timetables | 
Topics
- Using Extreme Value Theory and Copula Fitting to Generate Synthetic Data
This example shows the workflow for generating synthetic equity index return data using Extreme Value Theory (EVT) and a copula model.
 - Portfolio Construction Examples
These examples show how to construct portfolios on the efficient frontier.
 - Portfolio Selection and Risk Aversion
One of the factors to consider when selecting the optimal portfolio for a particular investor is the degree of risk aversion.
 - Active Returns and Tracking Error Efficient Frontier
This example shows how to minimize the variance of the difference in returns with respect to a given target portfolio.
 - Plotting an Efficient Frontier Using portopt
This example shows how to use
portoptto plot the efficient frontier of a hypothetical portfolio of three assets. - Plotting Sensitivities of an Option
This example creates a three-dimensional plot showing how gamma changes relative to price for a Black-Scholes option.
 - Plotting Sensitivities of a Portfolio of Options
This example plots gamma as a function of price and time for a portfolio of ten Black-Scholes options.
 - portopt Migration to Portfolio Object
These examples show how to migrate
portoptto a Portfolio object. - Analyzing Portfolios
For portfolios constructed from a fixed set of assets, the risk and return profile varies with the portfolio composition.
 - Portfolio Optimization Functions
Financial Toolbox™ functions for portfolio optimization.