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How the Interest Component Supports Perpetual Futures Funding

Article Quant Q&A · Author: ron burgundy

Summary

The document explains the role of a fixed interest component in perpetual futures funding. Funding combines a premium component with an interest-rate component, and its broader purpose is to encourage perpetual prices to track spot prices. The premium calculation and funding conventions vary across exchanges, while the interest component is described as reflecting the underlying borrowing rate on that venue.

The proposed mechanism is that a trader can buy spot using borrowed funds and short the perpetual, pushing the two market prices in opposite directions. A constant funding component changes incentives for positions in the perpetual and may encourage activity that helps close the price gap. The explanation is framed as a conceptual account rather than a formal derivation. It notes that funding does not guarantee spot-perpetual convergence at every interval, and trading costs, exchange-specific methods, and other frictions can sustain deviations.

Key ideas

  • Perpetual futures funding combines a premium component and an interest-rate component.
  • Funding is intended to encourage convergence between perpetual and spot prices, but does not guarantee it.
  • The fixed interest component is described as reflecting the venue’s borrowing rate.
  • A spot-and-perpetual arbitrage position can exert opposite price pressure on the two markets.
  • Exchange calculation rules and trading costs can affect funding and leave price gaps in place.

Tags

Full text
# Why do exchanges apply a fixed interest rate as part of the funding rate for perpetual futures?


# Why do exchanges apply a fixed interest rate as part of the funding rate for perpetual futures?












Some exchanges, such as Binance, charge a fixed interest rate as part of the funding rate. Having longs pay shorts doesn't quite make sense to me because it causes spot to trade rich to perpetuals ever so slightly -- and I don't know why this is desirable.

The interest rate is peer-to-peer so the exchange doesn't take a cut. I can only think of two explanations for charging it:

- There is an empirical tendency in perp markets for long-side leverage to exceed short-side leverage by some amount that can be offset by exactly this fixed interest rate

- Shorts pay longs in spot markets, so to offset the effect of this, they have longs pay shorts in futures markets, allowing both markets to converge towards some theoretical value

I don't know if either of these is the actual reason for having fixed interest rates. Would really like to hear from others on this.

## Answer by quantinho (score 4)

https://quant.stackexchange.com/a/75418

I have not seen much work on theoretical fundamental values of perpetual futures and how often the price deviates from them but there are some works on minimizing arbitrage gaps. While there might be slight differences amongst exchanges in terms of funding rate and funding interval, I guess they all rely on the same theoretical concept that is driven from traditional futures (the idea on how perpetuals should work etc.).

So, `Funding Rate = Premium + Interest Rate`

First the main purpose of Funding Rate is to try to converge the spot and perpetual prices (note that the price does not necessarily converge to the same value even at the end of the period and there are many reasons for that too but out of scope of this question). Exchanges have a clearly documented way on how they calculate the premium component. These calculation methods can slightly vary, and each method has some pros and cons (what is the fair time to calculate the rate, what should be the fair reference price etc. Even though those factors look trivial at first glance, when you have a millisecond perspective question will arise). Also, the interest rate component is different among exchanges (it is reflective of borrowing rate in that exchange). There are other things such as high trading costs that further create inefficiencies. This is just to highlight the small gaps that make things confusing.

To answer your question on why there’s a constant interest rate, its purpose is to reflect the borrowing rate of the underlaying (I guess your second point). Keeping other things constant you could go long on spot and borrow money and short on perpetuals. What’s happening is that you are pushing the price in both markets in the opposite direction. By assigning a constant rate this encourages someone else to take the same direction position in perps (hence try to converge the price).

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.