# Weighted Pools (WP)

## Overview

Weighted Pools represent an advancement of the traditional  x \* y = k Automated Market Maker (AMM) model initially introduced by Uniswap v1. These pools utilize Weighted Math, making them suitable for a broad range of scenarios, including those involving tokens without inherent price correlation, such as USDT and WETH.

$$
x\*y=k
$$

Unlike conventional AMM pools, which are typically constrained to a 50/50 weighting structure, PrivatePool's Weighted Pools offer enhanced flexibility. They allow users to create pools with more than two tokens and to assign custom weightings, such as 80/20 or 60/20/20, thereby providing greater control over liquidity distribution and portfolio management.

<figure><img src="/files/RdXg3VLKNct0GzASrnRa" alt=""><figcaption></figcaption></figure>

## Advantages

#### Exposure Control <a href="#exposure-control" id="exposure-control"></a>

Weighted Pools allow users to choose their levels of exposure to certain assets while still maintaining the ability to provide liquidity. The higher a token's weight in a pool, the less impermanent loss it will experience in the event of a price surge.

For example if a user wants to provide liquidity for WBTC and WETH, they can choose the weight that most aligns with their strategy. A pool more heavily favoring WBTC implies they expect bigger gains for WBTC, while a pool more heavily favoring WETH implies bigger gains for WETH. An evenly balanced pool is a good choice for assets that are expected to remain proportional in value in the long run.

#### Impermanent Loss <a href="#impermanent-loss" id="impermanent-loss"></a>

[Impermanent Loss](https://docs.balancer.fi/concepts/advanced/impermanent-loss.html) is the difference in value between holding a set of assets and providing liquidity for those same assets.

For pools that heavily weight one token over another, there is far less impermanent loss, but this doesn't come for free; very asymmetric pools do have higher slippage when making swaps due to the fact that one side has much less liquidity. 80/20 pools have emerged as a happy medium when balancing liquidity an Impermanent Loss mitigation.


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