Portfolio optimization (pynance.pf)

pynance.pf.optimize(exp_rets, covs)[source]

Return parameters for portfolio optimization.

Parameters:

exp_rets : ndarray

Vector of expected returns for each investment..

covs : ndarray

Covariance matrix for the given investments.

Returns:

a : ndarray

The first vector (to be combined with target return as scalar) in the linear equation for optimal weights.

b : ndarray

The second (constant) vector in the linear equation for optimal weights.

least_risk_ret : int

The return achieved on the portfolio that combines the given equities so as to achieve the lowest possible risk.

Notes

  • The length of exp_rets must match the number of rows and columns in the covs matrix.
  • The weights for an optimal portfolio with expected return ret is given by the formula w = ret * a + b where a and b are the vectors returned here. The weights w for the portfolio with lowest risk are given by w = least_risk_ret * a + b.
  • An exception will be raised if the covariance matrix is singular or if each prospective investment has the same expected return.

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