
reference · Performance & testing
Arithmetic and Geometric Returns: Two Different Averages
Compare arithmetic mean returns with compounded geometric returns using transparent examples, consistent periods and cash-flow limitations.
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reference · Performance & testing
Compare arithmetic mean returns with compounded geometric returns using transparent examples, consistent periods and cash-flow limitations.
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reference · Performance & testing
Understand how repeated strategy searches select noise, with a transparent multiple-testing example and a practical experiment ledger for honest evaluation.
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guide · Performance & testing
Build a reproducible trading backtest with explicit data, timing, fills and costs. Use a worked example to spot look-ahead bias and unrealistic order assumptions.
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tool · Performance & testing
Find the two-outcome win rate needed for zero modeled expectancy using average gross win, average gross loss and per-trade cost, including impossible cases.
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reference · Performance & testing
Calculate compound annual growth from beginning value, ending value and elapsed years. Check cash flows, short samples and path information CAGR omits.
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reference · Performance & testing
Calculate covariance and correlation from paired returns, understand units, missing-data choices and nonlinear relationships, and avoid false hedge conclusions.
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reference · Performance & testing
Calculate downside deviation with a transparent target and full-series denominator. Compare subset conventions, annualization and zero-result limitations.
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tool · Performance & testing
Compare an equity peak with current equity to calculate drawdown and the gain needed to recover. Handles zero equity and explains cash-flow limitations.
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reference · Performance & testing
Audit decision timestamps, data availability, revised values and same-bar execution with original examples that expose future-information leakage.
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reference · Performance & testing
Calculate maximum adverse and favorable excursion with a defined trade window, price basis, quantity and costs. Includes long and short examples.
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guide · Performance & testing
Learn how trading Monte Carlo simulations resample outcomes, model drawdowns and test assumptions. Compare shuffling, bootstrapping and stress scenarios.
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reference · Performance & testing
Design a chronological evaluation with frozen rules, data boundaries and cost assumptions. Understand walk-forward reuse, overlapping labels and failure cases.
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tool · Performance & testing
Calculate profit factor from realized winning and losing amounts, with transparent cost conventions, original ledger examples and zero-loss handling.
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reference · Performance & testing
Calculate realized R-multiples using a documented initial risk denominator, including costs, partial exits and examples where money and R averages differ.
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reference · Performance & testing
Understand lagged return correlation with worked lag-one examples, consistent sampling and limitations for confidence intervals and annualized risk.
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guide · Performance & testing
Compare Sharpe and Sortino ratios with a worked return series. Check benchmarks, downside targets, annualization and what each statistic leaves out.
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reference · Performance & testing
Understand return asymmetry and fourth-moment tail sensitivity, with an explicit population-moment example and ordinary-versus-excess kurtosis conventions.
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reference · Performance & testing
Work through sample standard deviation of returns, distinguish percent units from decimal units, and understand annualization and tail-risk limitations.
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reference · Performance & testing
Understand survivorship bias through an original account-cohort example and an auditable inclusion ledger, with limits on missing-history conclusions.
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tool · Performance & testing
Calculate arithmetic expectancy from assumed win rate, average gross win, average gross loss and cost. Understand sample definitions and model limitations.
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guide · Performance & testing
Calculate trading expectancy from average wins, losses and costs. See why a high win rate can lose money and how to review a sample without overclaiming.
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guide · Performance & testing
Design a walk-forward trading test with fixed training and evaluation windows. Learn how to combine results, avoid leakage and document parameter changes.
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reference · Performance & testing
Compare identical observed win rates with different sample sizes, interpret Wilson intervals and understand dependence, selection and payoff limitations.
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