estimatePortSharpeRatio

Estimate Sharpe ratio of given portfolio weights for Portfolio object

Syntax

psharpe = estimatePortSharpeRatio(obj,pwgt)

Description

psharpe = estimatePortSharpeRatio(obj,pwgt) estimates the Sharpe ratio of given portfolio weights for a Portfolio object. For details on the workflow, see Portfolio Object Workflow.

Examples

Estimate Sharpe Ratios of the Given Portfolio Weights

This example shows how to find efficient portfolios that satisfy the target returns and then find the Sharpe ratios corresponding to each of the portfolios.

To obtain efficient portfolios that have targeted portfolio returns, the estimateFrontierByReturn function accepts one or more target portfolio returns and obtains efficient portfolios with the specified returns. Assume you have a universe of four assets where you want to obtain efficient portfolios with target portfolio returns of 6%, 9%, and 12%. Use estimatePortSharpeRatio to obtain the Sharpe ratio for the collection of portfolios (pwgt).

m = [ 0.05; 0.1; 0.12; 0.18 ];
C = [ 0.0064 0.00408 0.00192 0; 
      0.00408 0.0289 0.0204 0.0119;
      0.00192 0.0204 0.0576 0.0336;
      0 0.0119 0.0336 0.1225 ];
 
p = Portfolio;
p = setAssetMoments(p, m, C);
p = setDefaultConstraints(p);
pwgt = estimateFrontierByReturn(p, [0.06, 0.09, 0.12]);

display(pwgt);

pwgt = 4×3

    0.8772    0.5032    0.1293
    0.0434    0.2488    0.4541
    0.0416    0.0780    0.1143
    0.0378    0.1700    0.3022

pwgt is a NumAssets-by-NumPorts matrix where NumAssets is the number of asset in the universe and NumPorts is the number of portfolios in the collection of portfolios.

psharpe = estimatePortSharpeRatio(p,pwgt) 

psharpe = 3×1

    0.7796
    0.8519
    0.7406

psharpe is a NumPorts-by-1 vector, where NumPorts is the number of portfolios in the collection of portfolios.

Input Arguments

obj — Object for portfolio

object

Object for portfolio, specified using a Portfolio object.

Note

The risk-free rate is obtained from the property RiskFreeRate in the Portfolio object. If you leave the RiskFreeRate unset, it is assumed to be 0. For more information on creating a portfolio object, see Portfolio.

Data Types: object

pwgt — Collection of portfolios

matrix

Collection of portfolios, specified as a NumAssets-by- NumPorts matrix where NumAssets is the number of assets in the universe and NumPorts is the number of portfolios in the collection of portfolios.

Data Types: double

Output Arguments

psharpe — Sharpe ratios of the given portfolios

vector

Sharpe ratios of the given portfolios, returned as a NumPorts-by-1 vector.

More About

Sharpe Ratio

The Sharpe ratio is the ratio of the difference between the mean of portfolio returns and the risk-free rate divided by the standard deviation of portfolio returns for each portfolio in pwgt.

estimatePortSharpeRatio computes the Sharpe ratio with mean and standard deviation (which is the square-root of variance) of portfolio returns.

Tips

You can also use dot notation to estimate the Sharpe ratio of given portfolio weights.

psharpe = obj.estimatePortSharpeRatio(pwgt);