def information_ratio(algorithm_returns, benchmark_returns):
"""
http://en.wikipedia.org/wiki/Information_ratio
Args:
algorithm_returns (np.array-like):
All returns during algorithm lifetime.
benchmark_returns (np.array-like):
All benchmark returns during algo lifetime.
Returns:
float. Information ratio.
"""
relative_returns = algorithm_returns - benchmark_returns
relative_deviation = relative_returns.std(ddof=1)
if zp_math.tolerant_equals(relative_deviation, 0) or \
np.isnan(relative_deviation):
return 0.0
return np.mean(relative_returns) / relative_deviation
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