Anna’s hypothetical USD account has 2,500 USD equity and two accepted long positions: 0.05 lot of EUR/USD and GBP/USD. Assume each linear contract uses 100,000 base units per lot and a 0.0001 pip. An exact fifty-pip adverse exit gives 25 USD price loss on each, or 50 USD combined before separate costs. The pair names differ, but both directions include short-USD exposure. This example neither predicts a Fed reaction nor guarantees the stop fills; it separates individual budgets from a portfolio scenario.

What currency pair correlation is and what the Pearson coefficient measures

For aligned observations, subtract each series’ mean. Let Sxx and Syy be the sums of squared deviations and Sxy the sum of their paired products. Pearson r = Sxy / √(Sxx × Syy), provided both squared-deviation sums are positive. Dividing the raw sum of products by two standard deviations without matching normalization is not this formula.

Zero means no linear association in this sample, but does not rule out a nonlinear relationship. Correlation does not establish causation. A common currency can contribute to both series’ movements, while developments affecting either other currency can change the result. Historical correlation is descriptive and need not persist.

Currency combinations to investigate

The following rows identify shared currencies or comparison questions, not measured correlations or a ranking. Establish the same timestamps, return definition and window before estimating a coefficient. Labels such as commodity currency or dollar-priced asset do not determine its sign.

Shared components — not a correlation matrix
EUR/USD and GBP/USDUSD is the quote currency in both; direction, units and other currency factors still matter.
EUR/USD and USD/CHFUSD appears on opposite quote sides; reverse a position’s sign before interpreting its P/L relationship.
AUD/USD and NZD/USDA shared USD leg is not proof of the strongest correlation or identical volatility.
EUR/JPY and GBP/JPYBoth quote currencies are JPY; translate position results into one account currency.
USD/CAD and WTI crudeDifferent instruments require aligned returns, units and a stated data sample.
XAU/USD and the DXY indexDollar quotation alone does not establish an inverse return relationship.
Working checkmeasure association, then assess signed exposure and scale separately.

Shared quotation components are an algebraic observation, not proof of one stable economic relationship. Separate the named currencies from measured return association, movement scale and the sign of each position. A link between two assets cannot be inferred from a common unit of quotation. The DXY index and EUR/USD characteristics overview provide further context.

Correlation 1 does not equalize amplitude

Perfect directional agreement can still leave exposure. Unit counts and the P/L scale of both legs are separate information.

Scroll sideways to see the full diagram

Two aligned series, different amplitudesAcross four common periods, X is −1, +1, −2, +2 USD. Y is always twice X. One X leg minus one Y leg does not equal zero.r = 1, DIFFERENT SCALEXY = 2X−4−20241234Four common periodsP/L units: USD per leg unit.X − Y = [1; −1; 2; −2] USD2X − Y = [0; 0; 0; 0] USD

Fictional X and Y are linear-leg results per exposure unit across the same four periods in USD, not currency prices. Assume Y = 2X, fixed exposure coefficients and no costs. This demonstrates algebra, not observed markets or an estimated hedge ratio for actual pairs. The documentation NIST: Correlation confirms that Pearson correlation measures linear association using deviation products and their scale.

The fictional series have r = 1, but Y has twice the amplitude. Only 2X − Y cancels P/L in this model.

Both means are zero. Sum X² = 10, sum Y² = 40 and sum XY = 20; hence r = 20 / √(10 × 40) = 1. Correlation alone does not imply one unit of X and an opposite unit of Y are neutral. That combination leaves −X.

Double exposure — when two pairs are a single position

In the hypothetical example, both EUR/USD and GBP/USD longs share short-USD exposure. A historical correlation near 0.85 does not make them one identical position, guarantee common direction on a particular day or fix relative movement sizes. Correlation, volatility, position amounts and common-factor sensitivity are different quantities.

In Anna’s specified fill scenario, 25 + 25 = 50 USD, or 2% of starting equity. Each leg’s planned 1% price budget does not establish a 1% limit for the whole account. That combined amount follows from the stated volume and fills, not from a correlation coefficient or a necessary reaction to a policy message. See the one-percent risk rule for the budgeting distinction.

Assess combined currency exposure and scenario losses before adding another position. A positive correlation can amplify same-direction positions; a negative correlation can amplify opposite-direction positions. Absolute correlation alone cannot determine whether two trades offset or reinforce each other. State return frequency, window, signs, sizes and units, and do not treat 0.70 as a universal identical-position threshold.

How to compute a rolling 30-day correlation from MT4 and MT5 quotes

For a desktop MT 4 example, History Center opens with F 2 and can export CSV; its downloaded history may differ from the broker’s. In MT 5, the Symbols dialog provides Bars/Ticks history and CSV export. Align the same closing times and quote conventions, then compute each simple return as close / previous close − 1. Thirty returns require thirty-one successive closes. Excel CORREL on the paired return ranges estimates their Pearson coefficient; inspect missing observations and zero-variance errors.

Window length changes which observations enter the estimate. Comparing hypothetical windows of 30, 60 and 90 returns can show sensitivity, but none is a universal sufficient sample or a proof of the current regime. Record the window end date and count; a difference between estimates calls for examining the data, not assigning a cause from a preset threshold.

What to check in a matrix or calculator

If using a provider matrix or calculator, including a page labelled Myfxbook or Investing.com, inspect its actual pair list, data source, return convention and window. Do not assume that another tool’s similarly named setting uses identical data or remains available. For broader context, see intermarket analysis on forex-basics.com.

First verify aligned returns and the sample, then inspect position signs and money sensitivity. A change in r is not diagnosed by universal differences of 0.15 or 0.30. Values of 0.70 or 0.85 do not turn exposures into one identical position. Short windows need their own sample-quality assessment rather than automatic dismissal. A correlation reading alone also does not establish the stable spread required by a correlation pair arbitrage strategy.

Why stressed scenarios require separate checks

Do not extend a calm-period estimate mechanically to a stressed scenario. Set explicit adverse movements, conversion assumptions and execution costs for the actual positions, then calculate combined P/L. Correlation alone does not establish which assets rise, whether liquidity disappears or which systems stop quoting. The broader links are discussed in intermarket analysis.

A historical coefficient does not insure the portfolio against a later joint loss. Evaluate both changed association and changed movement scale; a large move on one leg can dominate the result even without a high r. Describe any historical event with its own data and period rather than infer a universal crisis pattern from a selected episode.

What to do tomorrow — three steps for your own account

Correlation is one input to portfolio analysis. It does not replace contract units, account-currency conversion, direction, costs or scenario losses. The checks below separate those inputs so a matrix entry is not mistaken for a loss limit.

  1. Record a matrix’s measurement settings. Save the pairs, date, return frequency, window and source, then mark the direction and units of each proposed exposure. A high absolute r is not automatically a hedge or doubled risk; compare signed results in one currency.
  2. Reproduce one estimate. Export aligned closes, calculate returns and apply CORREL to equal-length paired ranges. Record missing data and verify that neither series is constant. Compare alternative windows without assuming one published number is a permanent long-term average.
  3. Specify a portfolio loss scenario. Apply stated adverse price moves to each signed position with its own units and conversion. Include separate costs and execution uncertainty. An average daily range is a historical input, not a worst-case move; r = 1 does not set amplitudes or replace a cash calculation.

Related reading: Risk management basics; correlation pair arbitrage — statistical strategy; DXY and the dollar basket.

Correlation does not subtract stop-scenario amounts

About 2 min calculator practice

The portfolio worked example has USD 10,000 capital, a chosen 3% limit and modeled position losses of USD 100 and USD 75. The total is USD 175, leaving USD 125 of budget. Change only position 2 from USD 75 to USD 125. Does a historical correlation sign allow you to subtract that second amount?

Add loss scenarios without an assumed hedge

Check the result and explanation

The total is 100 + 125 = USD 225, or 2.25% of capital. USD 75 remains from the USD 300 budget. Do not enter the second loss as negative: this calculator adds separate scenarios, rather than valuing a hedge or diversification.

3% is an exercise assumption. The sum is not a maximum possible loss, VaR or correlation measure. Position directions and notionals need separate analysis.