Skip to content
TraderCalcs.io

Performance and Risk Calculators

Sharpe, Sortino and Calmar ratios, beta, alpha, volatility, value at risk and correlation from your own returns.

A strategy's return means very little on its own. The question these calculators answer is what was risked to produce it — and there is no single answer, because risk means different things depending on what you are worried about. The Sharpe ratio measures return against total variability; Sortino counts only downside variability, on the reasoning that upside volatility is not something anyone needs compensating for; Calmar measures it against the worst drawdown actually suffered.

Which of those is the right question depends on the strategy. A system with occasional large gains is punished by Sharpe and rewarded by Sortino, and the difference between the two figures is itself informative. Each page states exactly what its denominator counts, because the ratio is meaningless without knowing that.

The market-relative measures — beta, alpha, correlation — need a benchmark series alongside your own, and answer a different question: how much of a result came from exposure to something that was moving anyway. Correlation matters particularly for position sizing, because risk across positions only adds up the way most people assume when those positions are independent, and they usually are not.

Everything here is computed from returns you enter. These are descriptive statistics about a sample of results that already happened; none of them forecasts, and a ratio computed over a short record is dominated by luck rather than by anything repeatable.

All performance calculators

17 calculators in this category.

Sharpe Ratio Calculator

Measure return per unit of total volatility, with the risk-free rate and periods per year you set yourself.

Calculate the Sharpe ratio

Sortino Ratio Calculator

Measure return against downside deviation only, ignoring the upside volatility the Sharpe ratio penalises.

Calculate the Sortino ratio

Calmar Ratio Calculator

Compare annualised return against the deepest drawdown suffered, with the MAR ratio reported alongside it.

Calculate the Calmar ratio

Treynor Ratio Calculator

Measure excess return per unit of market beta rather than per unit of total volatility.

Calculate the Treynor ratio

Information Ratio Calculator

Measure active return against tracking error to see whether outperformance was consistent or occasional.

Calculate the information ratio

Beta Calculator

Calculate how much an instrument moved relative to a benchmark, from two series of returns you enter.

Calculate beta against a benchmark

Alpha Calculator

Work out the return left over once the return explained by market exposure has been accounted for.

Calculate Jensen's alpha

Volatility Calculator

Turn a series of prices or returns into a standard deviation, annualised over the periods per year you choose.

Calculate historical volatility

Value at Risk Calculator

Estimate the loss a position is not expected to exceed at a given confidence, by the parametric and historical methods.

Calculate value at risk

Expected Shortfall Calculator

Calculate the average loss in the tail beyond value at risk, which is what VaR by construction never tells you.

Calculate expected shortfall

Ulcer Index Calculator

Measure drawdown depth and duration together, penalising long periods underwater rather than single bad days.

Calculate the ulcer index

Recovery Factor Calculator

Compare net profit against the largest drawdown to see how much was earned per unit of pain endured.

Calculate the recovery factor

Time-Weighted Return Calculator

Measure performance with deposits and withdrawals stripped out, which is how a strategy is judged rather than an account.

Calculate time-weighted return

Money-Weighted Return Calculator

Find the internal rate of return that accounts for when money was added and withdrawn, not just how it performed.

Calculate money-weighted return

Monte Carlo Trading Simulator

Resample a strategy's win rate and payoff many times to see the range of equity curves it could plausibly produce.

Run a Monte Carlo simulation

Optimal F Calculator

Find the fixed fraction of capital that maximises geometric growth for a set of trade results you enter.

Calculate optimal f

Correlation Calculator

Calculate the Pearson correlation between two return series to see how far two positions really move together.

Calculate correlation between two series

Start here

A good place to begin in this category.

Related categories