# Swap Slippage

The swap slippage is given by:

$S_{i \rightarrow j} = S_i + (-S_j) = S_i - S_j$

and

$S_i = \dfrac{g(r'_i) - g(r_i)}{r'_i - r_i}$

$r'_i + r_i$

If the swap amount is small, the slippage can be give by

$S_{i \rightarrow j} = g'(r_i) - g'(r'_i)$

### Practical example of slippage calculation

We take the coverage ratio of USDT at 0.909 and ETH at 1.033. Working this out, we’d get:

#### USDT:

$g'(0.909) = -\dfrac{0.00002*7}{0.909^8} = 0.03\%$

#### ETH:

$g'(1.033) = -\dfrac{0.00002*7}{1.033^8} = 0.01\%$

Hence we have

$S_{USDT \rightarrow ETH} = 0.03\% - 0.01\% = 0.02\%$

This represents the marginal slippage when someone is performing a small amount of swap at this coverage ratio. And yes, the slippage is positive and user can benefit from the swap!

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