Documentation

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Portfolio Analysis

Analyze portfolio for returns variance and covariance, simulate correlation of assets, calculate portfolio value at risk (VaR)

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

Examples and How To

Portfolio Construction Examples

These example 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 plots 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 10 Black-Scholes options.

portopt Migration to Portfolio Object

These examples show how to migrate `portopt` to a Portfolio object.

frontcon Migration to Portfolio Object

These examples show how to migrate `frontcon` to a Portfolio object.

Concepts

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.