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Why Market Impact Can Appear Positive When Hidden Demand Is Revealed

Article Quant Q&A · Author: Chris

Summary

The document examines whether a completed trade can have positive market impact. Its example describes an illiquid market where the displayed price is 100, while a buyer has hidden willingness to pay up to 105. A seller offers at 102, the buyer trades, and the public price subsequently becomes 102. From the seller’s and observer’s perspective, the trade appears to have raised the market price.

The interpretation changes if impact is measured against latent demand: the buyer could have paid more, so the seller’s execution can be viewed as negative impact relative to that hidden value. The example shows that the sign of market impact depends on the reference price and whose information is considered. It is a conceptual illustration rather than empirical evidence. The response suggests that the distinction may matter most in illiquid markets, where public prices may diverge from latent valuations, and less in liquid markets where those values are expected to converge.

Key ideas

  • The sign of market impact depends on the price used as the reference point.
  • A trade can raise the displayed price while executing below a buyer’s hidden willingness to pay.
  • In illiquid markets, public prices may not reflect latent demand.
  • The example is hypothetical and does not establish how often positive observed impact occurs.

Tags

Full text
# Positive market impact


# Positive market impact












Is it possible for a trade to have positive market impact? We are accustomed to a trade having negative market impact and essentially a cost associated to it, either immediately through price impact or through a change in the order book. I have had heard polarizing opinion on this thus far; one trader tells me "no its impossible market impact is always negative" and the other "of course its possible your trade can provide liquidity to the market if there's matching flow". Thoughts?

## Answer by Attack68 (score 2)

https://quant.stackexchange.com/a/79971

Personally I believe that the market impact can only be negative from a new trade completion.

If you want to address the second trader's view about providing liquidity to the market consider this hypothetical:

An illiquid and infrequently traded market has three actors A, B, C, and an observer. Each actor maintains a public view of the mid-market and a private view as follows:

| Actor | Public Price | Private Info |
| A | 100 | Assumes the price is 100 no other information. |
| B | 100 | Is short wanting to cover will pay upto 105 but hides this interest. |
| C | 100 | Assumes the price is 100 no other information. |

The observer can see the public price is 100, but the latent (hidden) information is that the price is at least 105 since if any offers in reasonable size were to be shown less than 105 they would be bought by B.

Suppose that C now acquires an interest to sell for whatever reason and offers the market at 102. B immediately trades this and with all parties satiated, the state reverts to:

| Actor | Public Price | Private Info |
| A | 102 | Assumes the price is 102 no other information. |
| B | 102 | Assumes the price is 102 no other information. |
| C | 102 | Assumes the price is 102 no other information. |

From the perspective of the Observer and that of C, C's trade has had a positive market impact, from 100 to 102.

But from the point of view of knowing the latent market the trade has had a negative market impact since B would have paid upto 105 but managed to buy at 102 instead and has nothing to do after that trade.

Thus, this example depends heavily upon your definitions which become particularly unclear in illiquid markets. For frequently traded and liquid markets I suspect that this will all go away, i.e. the latent market will converge to the observed market in which case the impact can again only be negative.

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.