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Beta (β\beta) measures the systematic risk (or volatility) of your algorithmic strategy compared to a benchmark index (like the Nifty 50). While Standard Deviation measures absolute risk in a vacuum, Beta measures relative risk. It tells you exactly how sensitive your portfolio is to macro market movements.

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The Mathematical Formula

Beta is calculated by dividing the covariance of the portfolio and the benchmark’s returns by the variance of the benchmark’s returns: β=Cov(Rp,Rm)Var(Rm)\beta = \frac{Cov(R_p, R_m)}{Var(R_m)}

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Interpreting Your Beta Score

When reviewing your backtest, use the benchmark value of exactly 1.0 as your baseline:
Beta ValueMarket SensitivityTactical Reality
Exactly 1.0NeutralThe portfolio moves perfectly in sync with the benchmark. If the market drops 5%, your portfolio drops 5%.
Greater than 1.0High Beta (Aggressive)The portfolio is structurally more volatile than the market. A Beta of 1.5 means if the market rises 10%, the portfolio rises 15% (but also falls 15% if the market drops).
Between 0 and 1.0Low Beta (Defensive)The portfolio is insulated from market shocks. A Beta of 0.5 means the portfolio only experiences half the volatility of the broader market.
Below 0 (Negative)Inverse BetaThe portfolio structurally moves in the opposite direction of the market, serving as a direct hedge.