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Naming Synthetic FX Spreads, Orders, and Partial Positions

Article Quant Q&A · Author: ivarec

Summary

The document discusses terminology for combining market prices while evaluating potential foreign-exchange arbitrage and for describing a trade after only some legs execute. It suggests calling a nonstandard combination of products a synthetic spread, and using position or inventory terms for executed exposure. Unfilled legs remain orders; a multi-leg spread order can be described as partially filled when execution is incomplete.

The answer emphasizes that conventions depend on software and trading practice. It illustrates how the same set of spot FX trades can be represented as net currency exposure or as positions in currency pairs, with different implications for closing or rolling trades on value date. It also cautions that combining arbitrary currency pairs may simply create currency risk rather than arbitrage. The document does not develop a pricing method or establish universal terminology; its practical contribution is a vocabulary and a reminder to distinguish market-data combinations, orders, and executed positions.

Key ideas

  • A synthetic spread describes a combination of products that is not itself directly traded.
  • Executed trades are positions, while unexecuted trades remain orders.
  • A multi-leg order with only some legs executed can be described as partially filled.
  • FX exposure can be viewed net by currency or by currency pair.
  • Combining currency pairs does not by itself establish an arbitrage opportunity.

Tags

Full text
# What do I call the combination of two or more prices when doing arbitrage?


# What do I call the combination of two or more prices when doing arbitrage?












Suppose that I’m doing forex arbitrage between multiple currencies.

A possible arbitrage strategy is to combine the currency prices in pairs and then evaluate if there is a chance to make a profit. What do I call each of these “combinations”? Pairs? Opportunities? Note that there are no open orders at this point - I’m just evaluating the market data.

Also, if one order gets executed and the other remains open, what do I call this? Position? Ongoing arbitrage?

It’s a terminology issue. I don’t know what’s mainstream and I’m afraid to start inventing crazy names for things that are properly named already :)

## Answer by madilyn (score 3, accepted)

https://quant.stackexchange.com/a/43525

It is whatever you want to call it. I'll give a few ideas.

A term you might be looking for is a "spread", especially a "synthetic spread". This generalizes any combination of products that itself isn't directly traded on the market, but may or may not be related to a product that is traded.

If you have an arbitrage position whose profit can be locked in by trading out another leg, you'd most often call it "unhedged", "inventory", "residual" etc.

Depending on how you've structured your software and how your traders communicate, it may make sense to name "synthetic order types", which themselves aren't provided by the market but can be emulated by combining more than one explicit order type - for example, a "buy spread", "buy butterfly" order type etc. In that case, you could say that you're "working a spread" or a "spread order" is "partially filled" if not all legs of a spread are executed.

But most commonly, you'd just refer to any executed orders as part of your "position(s)", and any unexecuted orders as "orders". Ask your FX dealer or prime broker to show you their GUI platform and you'll probably understand what I mean. There's no conventions for referring to any triangles etc. Under "position(s)", you could either look at things net-by-currency or net-by-currency pair. The reason for this is that spot transactions need to be closed out or rolled on value date, and say if you are long EUR/USD, long GBP/EUR, long USD/GBP, you could:

- say you're just long USD (net by currency) and closing that out only involves converting to your account currency, or

- say you're long 3 pairs and close out by selling all 3 pairs.

At my firm we usually have a few standard names for common linear combinations of products, like 1-2+1, etc. a symbol convention for these, and our FX counterparties probably wouldn't understand what we mean if we used the same lingo with them.

> A possible arbitrage strategy is to combine the currency prices in pairs

It's hard to understand what you mean by "combine the currency prices in pairs". Could you clarify?

Spot FX prices are quoted in pairs of a base currency and a quote currency, e.g. EUR/USD. Conventionally, you won't find an inverted pair, i.e. USD/EUR in this case, being traded as a separate product on an ECN or other liquidity pool, so that arb doesn't exist. Combining any 2 pairs like EUR/USD and EUR/GBP isn't an arbitrage since all you're doing is picking up currency risk. Do you mean a triangle?

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.