Here is an overview of some of the notable automated market maker protocols you could find today. It is important to ensure a match between a buy order and a sell order for the execution of a trade. You can think of such an approach as similar to that of an order book model, where all the orders sit in an order book. The order book exchange definitely presents a proven approach for global finance, which involves multiple market makers alongside many investors. Another example of an automated market maker (AMM) is PancakeSwap, the number one AMM on Binance Smart Chain (BSC). However, PancakeSwap boasts various features, including a lottery, non-fungible tokens (NFTs), and a predictions market.
This is where liquidity pools and liquidity providers (LPs) come in. In this article, we’re going to look at how AMMs work and why they are so popular. Also, we’ll look at liquidity providers (LPs), liquidity pools, and impermanent loss! Plus, we’ll discuss why AMMs are such a vital component of the crypto space. In the world of cryptocurrency exchanges, AMMs are smart contracts. Their functionality is to create pools of token liquidity that are automatically traded using an algorithm.
![Automated Market Maker Variations](image/jpeg;base64,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)
Once you have determined this, you can then begin to identify the persistent market inefficiencies that your strategy needs to target. As such, preliminary research focuses on developing a strategy that suits your own personal trading goals and personality traits. Added to this, if the cause of the market inefficiency is unidentifiable, then there will be no way to know if the success or failure of the strategy was due to chance or not. Obviously, you’re going to need a computer and an Internet connection to become an algorithmic trader. The best way to learn to program is to practice, practice and practice. Sound knowledge of programming languages like Python/C++/Java/R is a pre-requisite for a Quant Developer.
The following discussion offers a detailed understanding of what is an automated market maker and how it works. When liquidity providers (LPs) deposit token pairs into liquidity pools, they generally deposit an equal ratio of each asset. As in the previous example, when providing liquidity to a Uniswap liquidity pool, LPs provide an equal ratio of two different assets. But, if you deposit one ETH worth $3,000 along with 3,000 USDC, there’s no guarantee that this ratio will be the same when you withdraw your liquidity.
To summarize, Curve V2 achieves very small slippage near the equilibrium point and better slippage than CPMM in other region. As for other price pegs rather than 1, we simply changes p in the cubic / sextic equation above. Take the simplest 2-token pool for instance, the market maker function can be expressed in terms of A, γ, p, D, x, y. The function can be simplified to a cubic function with respect to x, y (a sextic function with respect to D).
Essentially, this is equivalent to solve the following formula, but this time x, y are known. Finally solving this equation for x0 gives us the new equilibrium point. The price at (x0, y0) will always be the current market price Pt by design. This, in concept, ensures that arbitrage http://vissarion.chat.ru/israel/israel14.html will always bring the pool back to point (x0, y0). However, in reality, this algorithm does not have enough parameters to fit both the current reserve (x, y) and (x0, y0). This means we have to wait for the pool to go back to (x0, y0) and then change the market maker function.
![Automated Market Maker Variations](image/jpg;base64,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)
We personally do not see any counter measurement in the Balancer whitepaper and docs. Curve, on the other hand, introduces something called imbalance fee which ranges from 0% to 0.02%, when depositing single-sided liquidity. In reality, there is no real incentive for depositing single-sided liquidity under the second approach, due to arbitrage and impermanent loss. It is not hard to calculate how much we need to swap so that the value of each token is equal after the swap. It is also easy to show that β is always between 0 and 1, meaning a reasonable result. However, the price after the swap can be different from the price when depositing liquidity.
![Automated Market Maker Variations](image/jpg;base64,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)
To utilize such a system, a centralized API must be queried for a quote, which can then be used on-chain to execute the trade. Off-chain pricing has the advantage of allowing for the use of off-chain information. This can include any of a range of private market-making tactics, including a marginal rate structure (used by Hashflow), or more traditional order book methods used by centralized exchanges [16]. Alternatively, high-frequency tuning of AMM equations can be done to achieve better performance than their on-chain counterparts. Clipper’s FMM uses a rapidly updating live price feed as the oracle price in their AMM formula (discussed above), allowing them to shift closer to a CSMM and achieve greater capital efficiency [17].
Providing liquidity in price ranges essentially enables Uniswap V3 to be a universal AMM, with the ability to become any possible AMM by changing its liquidity distribution. As for impermanent loss derivations for other popular AMM algorithms, including Uniswap V3, we refer readers to this lovely paper by Jiahua Xu et al⁵. In the above discussion, we only considered the case where the relative price goes down. We can also calculate the exact range of k in which liquidity providers will have a positive gain. MSc in Computer Science, BSc in Smart Engineering, and BSc in Economics and Statistics.
The liquidity always equals the total quantity of token A plus the total quantity of token B. As a result, for this model to work, token A and token B need to be supplied in the correct ratio by liquidity providers, and the amount of liquidity must be sufficient. The SushiSwap team launched what is known as a “vampire attack”, whereby a protocol attempts to steal LPs from a competitor by offering better rates and rewards. SushiSwap managed to lure Uniswap LPs to the new SushiSwap protocol by offering SUSHI token rewards on top of attractive trading fees. Interactive Brokers API allows users to build their own automated trading systems using popular programming languages like Java, Python, and C++.
- The process of earning rewards by providing liquidity is also called liquidity mining or yield farming.
- However, PancakeSwap boasts various features, including a lottery, non-fungible tokens (NFTs), and a predictions market.
- Liquidity pools combine the funds deposited by LPs for users of AMMs to trade against.
AMMs use liquidity pools, where users can deposit cryptocurrencies to provide liquidity. These pools then use algorithms to set token prices based on the ratio of assets in the pool. When a user wants to trade, they swap one token for another directly through the AMM, with prices determined by the pool’s algorithm. However, decentralized exchanges (DEXs) and automated market makers (AMMs) are non-custodial. Not only does this mean that users have control of their assets, but it also means that assets cannot be seized, frozen, or restricted in the same way that they can be with CEXs. When the prices of assets deposited to liquidity pools fall and the ratio of the token pairs is unfavorable, there is no way to reverse this.
![Automated Market Maker Variations](image/jpg;base64,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)
Generally, a high amplification factor can work well for stable pairs but becomes riskier the more volatile a pair gets. In order to guarantee better price, the algorithm has to constantly re-peg (changing x0 and y0) to keep the current pool reserve near the (1, 1) point. The algorithm re-pegs by following its internal price oracle, which tracks the market price.
EOption also lets users set up automated trading systems, but there’s no programming language knowledge needed. Instead, eOption has a series of trading newsletters available to clients. Factors such as your personal risk profile, time commitment, and trading capital are all important considerations when developing a strategy. In addition to helping traders http://vertagu.ru/blarecao64.htm who are afraid to make a decision, automated trading can hold back those who tend to overtrade, and buy and sell at every perceived opportunity. In other words, challenging human decisions can be solved by a computer in milliseconds, as the computer can scan for trading opportunities across a range of markets, generate orders, and monitor trades.
These pools are vital for the ecosystem’s health, as they ensure liquidity and minimize price impacts and trading inefficiencies. AMMs incentivize asset contribution by offering a portion of transaction fees or https://bris-bosfor.ru/catalog/obuv_plyazhnaya/zhenskaya_2/tufli_zakrytye_5/145378/ LP tokens as rewards, a practice known as yield farming. The prices of assets in AMMs are dynamically adjusted according to supply and demand, showcasing the platforms’ decentralized and autonomous operation.