'The Kelly Machine'

A new approach to risk management in DeFi.

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potion-protocol.medium.com/introducing-th…
❓What is it?

An AMM protocol for decentralized creation and pricing of risk management contracts (eg insurance, puts, calls).

❓How does it work?

You can play as seller or buyer. The system uses the Kelly Criterion to find optimal pricing and apply automatic risk management.
How can it help me❔

πŸ“ŒBuyer: manage the risk of your holdings; get exposure to new assetsπŸ“ˆ

πŸ“ŒSeller: generate alpha from your holdingsπŸ’Έ

Can I trust it❔

πŸ“Œ It's trustlessπŸ”‘
πŸ“Œ Based on Kelly CriterionπŸ€“
πŸ“Œ Comprehensive back-testing🏁
πŸ“Œ Automated risk mgmnt
🌊 Sustainable Liquidity:

The Kelly Machine facilitates a virtuous circle of value for market participants

Long term alpha expectation for LPs β†’ Deeper liquidity β†’ Better services for Buyers

Better services for buyers β†’ Higher demand for liquidity β†’ Better LP experience
🧐 Why not Black-Scholes Model (BSM) to price risk?

πŸ“Œ Empirical results from our testing πŸ‘‰ BSM misprices risk for major crypto assets and can lead to LP bankruptcy.

πŸ“Œ BSM Not designed to handle fat tailed assets πŸ‘‰ ...and crypto assets are very fat tailed! ImageImage
πŸ’‘ Utilization based pricing πŸ‘‰ Intuition:

πŸ“Œ To offset the higher risk of bankruptcy when more capital exposed

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πŸ“Œ Charge higher premiums and build a larger safety net.

But which particular curve to use? ImageImage
⏩ Enter the Kelly Criterion:

πŸ“ŒA mathematical framework for optimal capital allocation under uncertainty

πŸ“ŒIt optimizes for β€œsystematic risk taking”, aiming for long term survival and max capital growth

πŸ“ŒIt provides a robust link between premiums and allocation/utilization Image
βͺ Reverse Kelly Criterion:

πŸ“ŒWe use the KC "backwards", to produce risk premiums on the basis of incoming order_size

πŸ“ŒFrom this process we are able to generate "Kelly optimal" bonding curves

πŸ“ŒWe found a very simple formula to describe these curves, implementable on chain ImageImage
πŸ”₯The Kelly Machine:

πŸ“ŒA capital manager for sellers with built-in automated risk management.

πŸ“ŒA market maker for buyers with deep liquidity and open reliable pricing.

πŸ“ŒFacilitates natural market convergence point around Kelly Optimal.

πŸ“ŒEasy to use and accessible to all ImageImage
🏁 Preliminary Backtest results: Alpha

πŸ“Œ When LPs stay long term, they can mathematically expect asymptotic positive growth rate over time (CAGR or ALPHA)

πŸ“Œ LPs are able to influence the expected alpha, by setting their custom curves: Programmable Alpha ImageImage
🏁 Preliminary Backtest results: Risk

πŸ“Œ Kelly priced options outperform Black Scholes significantly in risk management.

πŸ“Œ LPs can further tune their curves to control the particular risk exposure they feel comfortable with. ImageImage
🌊 Liquidity architecture:

πŸ“Œ We introduce a new distributed bonding curve model.

πŸ“Œ It has the security advantages of a peer to peer model, with the scalability and price convergence of peer to pool.

πŸ“Œ We call it peer to virtual pool. Image
🌍 Routing over Distributed Bonding Curve:

πŸ“Œ In the network each LP will have its own dedicated curve and utilization πŸ‘‰ LPs will quote different prices for same order.

πŸ“Œ We built a distributed order router to ensure buyers could access lowest available prices at all times Image
🌠 Emerging Distributed Bonding Curve:

πŸ“Œ From the perspective of users, the entire network behaves as a single LP, with a single bonding curve.

πŸ“Œ We call this the emerging total market bonding curve.

See below how the router dynamically recalculates lowest available price:
🏁 Benchmarking Kelly Machine Vs Black-Scholes:

πŸ“Œ Higher LP win-rates

πŸ“Œ Higher LP survival rates for crypto

πŸ“Œ Lower max_draw_down

πŸ“Œ Better Schelling point discovery ImageImageImageImage
More information will be released over the coming weeks and months, gearing up for V0 release πŸ”₯

More info in medium post & community call!
Want to participate in solving some of the coolest and toughest problems in risk management in DeFi?

Join the Potion community today ❀️

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