Au
Low volatility
gold and bitcoin
Low volatility
gold and bitcoin

Fragments is a perpetual tranching protocol. We introduce high and low volatility derivatives of cbBTC and XAUt, respectively. They are durable risk-adjusted assets.






($26.5 trillion) Motivation

Fixed supply commodity-monies like gold and bitcoin are high-performing, sovereign-independent, and inflation-resistant; they’re just not stable enough for commerce. Significantly greater utility can be unlocked by reorganizing the volatility of these assets into senior and junior derivative assets.

On negative-return years, bitcoin's historical average is a striking -55.94%. That is to say, if you unexpectedly needed to withdraw from value held in bitcoin, you might be prohibitively down. At (1/5th) volatility, however, bitcoin is extremely usable as a near and medium term store of value.

Backtesting 1/5th volatility bitcoin (rebalanced every 7 days) shows an average downside return of -13.67% compared with bitcoin's -55.94%; and an ARR of 15.98%. Meaning as a holder of this asset, you would be generating a 15.98% return annually; and if you unexpectedly needed to withdraw on a bad year, you would have only been down -13.67%.

Avg ReturnAvg Up YearAvg Down YearWorst YearUp yearsDown years
BTC175.68%252.88%-55.94%-73.56%9.03.0
lvBTC (20%)15.98%25.86%-13.67%-19.14%9.03.0

Putting this into perspective, a risk-adjusted 15.98% ARR outperforms the average global hedge fund, money market fund, and private equity fund.

Asset ClassAvg ReturnEstimated AUM
Global Private Equity10.5%$13.1T
Global Hedge Funds6-8%$3.5T
Global Money Markets2.91%$9.9T

Combined, we estimate low volatility assets (LVA’s) to be a $26.5T market opportunity. They are significant bull cases for both BTC and gold.





How it works

The Fragments protocol works by reorganizing the volatility of an input asset (gold or BTC) into senior and junior perpetual tranches. Sr tranches are lower in volatility than their underlying asset; and Jr tranches are higher in volatility than their underlying asset.


BTC
Sr (lv)
Jr (hv)

Holding both Sr and Jr perpetuals in the right ratio is equivalent to holding the underlying asset because net volatility is conserved.

Governance: The system has configurable hyper-parameters (including fee rates). These parameters and any balance of assets accrued by protocol fees; are governed by the FORTH token.


Use Cases

  Low Volatility
lvBTC and lvGold are comfortable assets to buy, hold, and borrow against; across a broad range of time scales.
  High Volatility
hvBTC and hvGold provide magnified exposure; they can be paired with lv assets to create a spectrum of risk-reward profiles.

 


Initial Mint

Follow the release schedule of lvGold and lvBTC on Twitter (X) and learn the mechanics by reading the docs. Contact us below if you're interested in becoming a TVL or distribution launch partner.


Au