def beta(returns, factor_returns, risk_free=0.0, out=None):
    """Calculates beta.

    Parameters
    ----------
    returns : pd.Series
        Daily returns of the strategy, noncumulative.
        - See full explanation in :func:`~empyrical.stats.cum_returns`.
    factor_returns : pd.Series
         Daily noncumulative returns of the factor to which beta is
         computed. Usually a benchmark such as the market.
         - This is in the same style as returns.
    risk_free : int, float, optional
        Constant risk-free return throughout the period. For example, the
        interest rate on a three month us treasury bill.
    out : array-like, optional
        Array to use as output buffer.
        If not passed, a new array will be created.

    Returns
    -------
    beta : float
    """
    if not (isinstance(returns, np.ndarray) and
            isinstance(factor_returns, np.ndarray)):
        returns, factor_returns = _aligned_series(returns, factor_returns)

    return beta_aligned(
        returns,
        factor_returns,
        risk_free=risk_free,
        out=out,
    )
def beta ( returns , factor_returns , risk_free = 0.0 , out = None ) : if not ( isinstance ( returns , np . ndarray ) and isinstance ( factor_returns , np . ndarray ) ) : returns , factor_returns = _aligned_series ( returns , factor_returns ) return beta_aligned ( returns , factor_returns , risk_free = risk_free , out = out , )
Calculates beta.

    Parameters
    ----------
    returns : pd.Series
        Daily returns of the strategy, noncumulative.
        - See full explanation in :func:`~empyrical.stats.cum_returns`.
    factor_returns : pd.Series
         Daily noncumulative returns of the factor to which beta is
         computed. Usually a benchmark such as the market.
         - This is in the same style as returns.
    risk_free : int, float, optional
        Constant risk-free return throughout the period. For example, the
        interest rate on a three month us treasury bill.
    out : array-like, optional
        Array to use as output buffer.
        If not passed, a new array will be created.

    Returns
    -------
    beta : float