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Synthetix Perps Dynamic Funding Rates

April 27, 2023
in DeFi
Reading Time: 4 mins read
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A necessary side of the Synthetix Perps ecosystem is the dynamic funding price, which goals to keep up delta neutrality in markets by integrating velocity and time into funding price calculations. This novel strategy brings a recent perspective to threat administration and funding price computations. On this weblog publish, we’ll discover the interior workings of dynamic funding charges, clarify the maths behind the rate, and supply a sensible instance.

Understanding Synthetix Perps

Synthetix Perps are decentralized perpetual futures contracts constructed using Synthetix Liquidity, permitting merchants to achieve publicity to numerous belongings with out really proudly owning them. Perpetual futures, in contrast to conventional futures, don’t have any expiry date, and merchants can maintain their positions indefinitely so long as they preserve ample margin. To information markets towards steadiness, the Synthetix Perps system implements a dynamic funding price mechanism and a value impression perform. Earlier than explaining the distinctive improvements behind dynamic funding charges, let’s first perceive the aim of funding charges in perpetual futures.

Funding Charges

The function of funding charges in perpetual futures is usually to steadiness lengthy and quick demand. Merchants will both pay or obtain funding charges, relying on their positions. If the funding price is constructive, lengthy place holders pays the funding price to these holding quick positions, and vice versa.

The Dynamic Funding Charge

The dynamic funding price, whereas sharing similarities with the normal funding price, has just a few key variations. As a substitute of relying solely on market skew to find out the funding price, the dynamic funding price takes into consideration each velocity and market skew. Which means when there’s a persistent lengthy skew, funding charges will proceed to extend over time. Conversely, when quick positions dominate, funding charges will lower so long as the quick skew is maintained. By incorporating velocity into the funding price calculation, this mechanism encourages merchants to take positions reverse to the present market skew, selling market stability and steadiness.

A Primary Instance

The ETH Perp market presently has $100,000 in LONG positions and $20,000 in SHORT positions. Three situations can occur for this market from right here:

– Skew stays lengthy – Nobody enters (or exits) this market. Funding charges will proceed drifting upwards. Longs pay shorts an rising quantity every hour.

– Skew turns into impartial – Merchants convey the skew to impartial (100,000 LONG and 100,000 SHORT.) Funding charges will keep the identical. Longs pay shorts the identical quantity every hour.

– Skew flips to quick – Merchants flip the skew to SHORT (50,000 LONG and 100,000 SHORT.) Funding charges will lower. Longs pay shorts a reducing quantity every hour.

Calculating the Dynamic Funding Charge (Instance)

On this instance, we’ll calculate the dynamic funding price for ETH utilizing a hypothetical situation with three trades. We’ll use the method dr/dt = c * skew, which takes into consideration the brand new positions and the skew adjustments.

Here is the breakdown of the trades:

1. At Hour 0:

Person #1 longs 300 ETHUser #2 shorts 150 ETHlongOI = 300 ETH, shortOI = 150 ETH, skew = 150 ETH

2. At Hour 10:

Person #1 longs an extra 200 ETHlongOI = 500 ETH, shortOI = 150 ETH, skew = 350 ETH

3. At Hour 15:

Person #2 shorts one other 150 ETHlongOI = 500 ETH, shortOI = 300 ETH, skew = 200 ETH

To calculate the funding price velocity for every interval, we use the method dr/dt = c * skew, the place dr/dt is the funding price velocity, c is the fixed issue (maxFundingVelocity / skewScale), and skew is the distinction between lengthy and quick open curiosity (OI) positions.

1. From Hour 0 to Hour 10:

Person #1 longs 300 ETH, Person #2 shorts 150 ETHlongOI = 300 ETH, shortOI = 150 ETH, skew = 150 ETH longc = maxFundingVelocity / skewScale = 300% / 1000000 ETHfundingRateVelocity = c * skew = (300% / 10^6 ETH) * 150 ETH = 0.045% per dayfunding price hour 0 – 0% (assuming it begins at 0%)funding price hour 10 – 0.045% (rising linearly over 10 hours)

2. From Hour 10 to Hour 15:

Person #1 longs 200 ETHlongOI = 500 ETH, shortOI = 150 ETH, skew = 350 ETH lengthy (constructive skew b/c lengthy positions are larger)fundingRateVelocity = c * skew = (300% / 1000000 ETH) * 350 ETH = 0.105% per dayfunding price hour 10 – .045percentfunding price hour 15 – 0.07% (rising linearly over 5 hours)

3. From Hour 15 to Hour 20:

Person #2 shorts 150 ETHlongOI = 500 ETH, shortOI = 300 ETH, skew = 200 ETH lengthy (constructive skew b/c lengthy positions are larger)fundingRateVelocity = c * skew = (300% / 1000000 ETH) * 200 ETH = 0.060% per dayfunding price hour 15 – 0.07percentfunding price hour 20 – 0.09% (rising linearly over 5 hours)

4.From Hour 20 to Hour 24:

Person #3 shorts 500 ETHlongOI = 500 ETH, shortOI = 800 ETH, skew = -300 ETH lengthy (adverse skew as a result of quick positions are larger)fundingRateVelocity (per day) = c * skew = (300% / 10^6 ETH) * -300 ETH = -0.090% per dayfunding price hour 20 – 0.09percentfunding price hour 24 – 0.06% (lower linearly over 4 hours)

The Results of Threat Administration

Efficient threat administration is crucial within the Perps mechanism design. Liquidity suppliers mustn’t ever be uncovered to long-term skew; as an alternative, they need to make the most of incentives similar to Dynamic Funding Charges and Value Influence to correctly encourage arbitrage merchants to information markets towards equilibrium.

The determine above illustrates the impression of those two options on Synthetix Perps’ hottest market, sETH. The market maintains steady neutrality, and liquidity suppliers (stakers) act as momentary counterparties. In abstract, the design is functioning as supposed.

Conclusion

Dynamic funding charges are very important to Synthetix Perps’ threat administration mechanism. By encouraging market neutrality, and defending liquidity suppliers, it performs a essential function in sustaining the soundness of Synthetix Perps.

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