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Combining ETF-Stock Pair Positions and Shared Hedges

Article Quant Q&A · Author: Joan Arau
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Summary

This question examines how to manage simultaneous pair trades that each use the same ETF as a hedge. One signal calls for a long position in a stock against a short ETF position, while another calls for a short stock position against a long ETF position. The example applies separate hedge ratios, adds the resulting stock and ETF quantities, and asks whether the net ETF holding is the correct combined portfolio.

It also considers what happens when one signal weakens: closing that pair requires reversing its stock and ETF legs, leaving the other pair’s exposure. The material raises a practical portfolio-accounting issue, but it does not provide an answer, performance evidence, or a complete rebalancing method. In practice, aggregate share counts alone do not establish that exposures remain hedged; the hedge ratios, position sizing, signal changes, and any costs or constraints would need to be tracked over time.

Key ideas

  • Positions from multiple pairs that use the same ETF can be aggregated into a net ETF holding.
  • Each pair’s hedge ratio determines its contribution to the combined ETF position.
  • Closing one pair requires reversing both of its legs, which changes the portfolio’s net holdings.
  • The example poses a portfolio-management question but does not establish a complete rebalancing rule.

Tags

EquitiesPairs tradingPortfolio constructionPosition sizing
Full text
# Managing a portfolio of pair trades


# Managing a portfolio of pair trades












When arbitraging ETF holdings against the ETF, how does one manage the portfolio over time? Assume the strategy creates a long signal in pair A (stock X/ ETF) and a short signal in pair B ( stock Y / ETF). The hedge ratios are 0.5 for pair A and 2 for pair B so the following trades would get executed:

(+) 5 Shares Stock X (-) 10 Shares ETF

(-) 10 Shares Stock Y (+) 5 Shares ETF

The overall position would be + 5X, -5ETF, -10Y

Does that make sense so far?

Now lets assume the long signal for pair A weakens and the position is closed. In this case the 5 shares X would be sold and 10 shares ETF would be bought so that the new position now equals pair B.

I guess my question is : Is my train of thought right in that one can simply add these ETF positions or is there something I am overlooking ?

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