{"podcast":{"title":"Web3 Tech Brief By HackerNoon","slug":"web3-tech-brief-by-hackernoon-6365654","podcast_index_feed_id":6365654,"rss_url":"https://feeds.transistor.fm/web3-tech-brief-by-hackernoon","website_url":"https://hackernoon.com/c/web3","image_url":"https://img.transistorcdn.com/oE14NKahNVxAYFSG0eBjEan_Nk-HTHCAV1vsruoUK1k/rs:fill:0:0:1/w:1400/h:1400/q:60/mb:500000/aHR0cHM6Ly9pbWct/dXBsb2FkLXByb2R1/Y3Rpb24udHJhbnNp/c3Rvci5mbS9zaG93/LzQxMTY4LzE2ODMz/MTU4ODQtYXJ0d29y/ay5qcGc.jpg","author":"HackerNoon","episode_count":100,"summary":"Learn the latest Web3 updates in the tech world.","last_synced_at":"2026-07-30T06:17:35.772973+00:00","page_url":"https://stenobird.com/podcast/web3-tech-brief-by-hackernoon-6365654"},"episode":{"title":"A Mathematical Breakdown of How Automated Market Makers Price Assets","slug":"a-mathematical-breakdown-of-how-automated-market-makers-price-assets","published_at":"2026-05-22T16:00:54+00:00","page_url":"https://stenobird.com/podcast/web3-tech-brief-by-hackernoon-6365654/a-mathematical-breakdown-of-how-automated-market-makers-price-assets","show_page_url":"https://stenobird.com/podcast/web3-tech-brief-by-hackernoon-6365654","url":"https://share.transistor.fm/s/fc3b96c7","audio_url":"https://media.transistor.fm/fc3b96c7/c0f8e129.mp3","summary":"This story was originally published on HackerNoon at: https://hackernoon.com/a-mathematical-breakdown-of-how-automated-market-makers-price-assets . Learn how AMMs price tokens using x·y=k, how fees accrue, and why impermanent loss hurts LPs. From Uniswap V2 to V3, the math explained clearly. Check more stories related to web3 at: https://hackernoon.com/c/web3 . You can also check exclusive content about #defi , #automated-market-makers , #amm-math , #uniswap-v2 , #concentrated-liquidity , #liquidity-pools , #curve-finance , #crypto-liquidity , and more. This story was written by: @durdana-yembergenova . Learn more about this writer by checking @durdana-yembergenova's about page, and for more stories, please visit hackernoon.com . AMMs use the formula x·y=k to price tokens without an order book. Swaps move reserves along a hyperbola, causing price impact on large trades. A 0.30% fee grows k over time, rewarding liquidity providers. LPs face impermanent loss — always worse than holding when price moves, calculated as IL(r) = 2√r/(1+r) − 1. Uniswap V3 improves capital efficiency via concentrated liquidity ranges, while Curve and Balancer extend the model to stablecoins and multi-asset pools.","meta_description":"This story was originally published on HackerNoon at: https://hackernoon.com/a-mathematical-breakdown-of-how-automated-market-makers-price-assets . Learn…","key_points":[],"chapters":[],"topics":[],"duration_seconds":635,"processing_state":"not_requested","actions":[{"name":"request_transcript","method":"POST","url":"https://stenobird.com/v1/public/podcasts/web3-tech-brief-by-hackernoon-6365654/episodes/a-mathematical-breakdown-of-how-automated-market-makers-price-assets/transcription-requests","description":"Idempotently request low-priority transcript generation for this episode."},{"name":"read_markdown","method":"GET","url":"https://stenobird.com/podcast/web3-tech-brief-by-hackernoon-6365654/a-mathematical-breakdown-of-how-automated-market-makers-price-assets.md","description":"Read the agent-friendly Markdown representation of this episode resource."}]}}