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Stochastic options · Solana

itô

Mathdoesn'tneedacounterparty.

Peer-to-pool options on Solana. Auto-rolling weekly vaults. Built on 100 years of stochastic calculus.

Read the math
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Est. 1900 · The mathematics of options

Options are a math problem. Solved long before crypto existed.

1900
Bachelier · Théorie de la spéculation
The first mathematical model of options. Brownian motion enters finance — five years before Einstein uses it in physics.
1944
Itô · Stochastic calculus
Itô's lemma turns Brownian motion into a rigorous tool. The math underneath every option ever priced.
1973
Black · Scholes · Merton
Options become computable. The Nobel Prize follows in 1997.
2021
Ribbon · DOVs on Ethereum
$300M TVL. The category goes mainstream on EVM.
2022
Friktion · Katana · Solana
Both fail. Not because the math was wrong — because they relied on counterparties that didn't exist on Solana.
2026
itô
Same math. Solana. Peer-to-pool. No counterparty required.
1900
2026
What is being built

An options primitive in three layers. All open source.

Layer 1 · The math

Fermat-Solana

128-bit fixed-point arithmetic for Solana. The math primitive that every options, AMM, and lending protocol on Solana has been quietly re-writing for itself. Now open source on crates.io.

crate  fermat-solana v0.4.1license  Apache 2.0
fermat::Fixed<128>
0.00000000000000000
i128 · q64.64
Layer 2 · The pricing

Volatility Oracle

Pyth-fed spot price → on-chain Black-Scholes pricer → implied volatility surface across 8 strikes and weekly expiries. Consumable by any options protocol on Solana, not just ours.

feeds  SOL · BTC · ETHupdate  slot · 400ms
120135150165180
SOL · 8 strikes
weekly expiries
σ high
σ low
σ(K, T) · live mesh
Layer 3 · The market

Peer-to-Pool Options

Buyers don't need to find sellers. Sellers don't need to find buyers. The pool is the counterparty — a USDC vault that prices every call against the volatility oracle and settles weekly on Friday.

settles  Fri 16:00 UTCcollateral  USDC
depositorbuyerpoolUSDCcontinuous · auto-roll weekly
USDC vault · weekly auto-roll
For depositors

Deposit SOL. Earn USDC. Weekly.

01 · Mon 00:00

Deposit SOL

Your SOL enters the vault. You receive iSOL, a vault share token, 1:1 at deposit.

02 · Fri 09:00 UTC

Vault writes calls

Every Friday the vault sells weekly 10-delta out-of-the-money calls against your SOL.

03 · continuous

Earn premium

Buyers pay USDC for the calls. The premium flows into the vault. iSOL's underlying value grows.

04 · Fri 16:00 UTC

Auto-roll Friday

At expiry, calls settle. The vault re-writes for the next week. Withdraw anytime.

Expected APY: 8–15% in USDC, depending on volatility regime.  Capped upside on SOL — if SOL rallies past the strike, the vault delivers calls in-the-money. Not financial advice.
The opportunity

$300M TVL on Ethereum. Zero on Solana. The math doesn't change.

In 2021, Ribbon Finance proved out the Decentralized Option Vault category on Ethereum — peaking at $300M TVL with a simple thesis: let the vault write covered calls for you, weekly.

In 2022 two teams — Friktion and Katana — ported that thesis to Solana and both shut down inside a year. Their design assumed external market makers would step in to buy the calls. They didn't. On Ethereum, MEV and a deep options ecosystem (Deribit, Opyn, etc.) provided the bid. Solana, at that point, had neither.

Itô is structurally different. The pool is the buyer. Every option is priced against an on-chain volatility surface and bought back into the vault's collateral. No external counterparty required. The mechanism is structural, not market-dependent — it works on day one with one depositor.

$300M+
Peak DOV TVL on Ethereum (Ribbon, 2021)
0
Active DOVs on Solana today
1
Mechanism that does not require an external counterparty
The path

From devnet to mainnet. Eight weeks.

LIVE
Devnet prototype on itô.wtf
Week 3 · 2026
Connect a wallet, deposit testnet SOL, watch a weekly call get written against your position. The math is the math.
FUTURE
Cash-secured puts · multi-asset
Q3 · 2026
iUSDC vault writing puts. iBTC, iETH, iJTO. Strategy composer for vault stacking.
Early access

Be there when the math goes on-chain.

By joining, you'll get: early devnet access  ·  mainnet allow-listing  ·  math notes from the team