> For the complete documentation index, see [llms.txt](https://flype-protocol.gitbook.io/flype-protocol/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://flype-protocol.gitbook.io/flype-protocol/imm/the-math-behind-imm/transaction-fee.md). # Transaction fee Let’s consider the trading fee ɛ (ɛ \~0.003) impact with its four possible use cases, as follows: ### Buy X: If a trader wants to buy amount 0<ΔX\ If a trader wants to sell amount ΔY>0: he will receive:
### Sell X: If a trader wants to buy amount 0<ΔY< Yc, he should pay:
If a trader wants to sell amount ΔX>0, he will receive:
Implementing fees will change the optimal arbitrage strategy as follows: * If q>1 and f(q)<1/(1+ɛ), the buy strategy would be:
* if q<1 and f(q)> 1+ɛ, the sell strategy would be: