A zero-knowledge rollup on STRATO
LambdaChain
Leverage, with interest.
Fifty-plus perpetual markets at up to 20×, on a dollar that earns an estimated 5% APY while it sits in your account. Fund it with a card.
The Premise
The house edge, removed.
Every fill on LambdaChain is proven before it settles. The exchange cannot reorder your order, cannot fill you at a worse price than the book showed, and cannot fill something you cancelled — not as a policy, but as a property of the machine. That is the whole reason it is built as a zero-knowledge rollup, and the last time this page will mention one.
What’s left is what you came for.
50+
Perpetual markets
Crypto, equities, indices, metals, energy
20×
Maximum leverage
One cross-margined account
~5%
APY on USDλ
Estimate — variable, not guaranteed
2bps
Maker fee
5 bps taker, funding hourly
What you get
Four things, done properly.
Trade, earn, fund and withdraw — the whole of it, without a counterparty you have to trust.
I
Perpetuals
Fifty-plus markets across crypto, US equities, indices, metals and energy — one account, cross-margined, with up to 20× leverage. Funding settles hourly. Two basis points to make, five to take.
II
Yield on everything idle
Deposits become USDλ, a dollar backed one-for-one by escrowed USDC. Hold it as sUSDλ, or simply leave it as margin — either way it earns an estimated 5% APY, paid straight into your balance.
III
Money in, in minutes
Fund with a credit card or Apple Pay and USDλ lands in your account. Or bring stablecoins from Ethereum, Base or Linea, or swap any token in with one step.
IV
Your keys, always
Your account answers to a key you hold. Withdraw whenever you like — and if LambdaChain itself ever went dark, your funds still leave, by proof, without asking anyone.
The Board
Fifty markets. One account.
Everything is cross-margined against the same USDλ balance, so a hedge in one market is collateral in the next. New listings arrive continuously.
Crypto
12+- BTC
- ETH
- SOL
- HYPE
- XRP
- BNB
- DOGE
- SUI
- LINK
- AAVE
- XMR
- ZEC
- & more
US Equities
10+- NVDA
- AAPL
- MSTR
- ORCL
- INTC
- MRVL
- MU
- SNDK
- CRCL
- NBIS
- & more
Indices
5+- SPY
- QQQ
- US500
- US100
- SOXL
- & more
Metals & Energy
5+- XAU
- XAG
- PAXG
- WTI
- BRENT
- & more
Leverage varies by market; 20× is the maximum on the majors. Margin and liquidation are handled per account, not per position.
USDλ & sUSDλ
The dollar that
doesn’t sit still.
When you deposit, you receive USDλ — a dollar backed one-for-one by USDC held in escrow. The interest that escrow earns flows back to the people holding it.
Hold it as sUSDλ in your own wallet, or keep it as margin inside the exchange. Both earn. Both compound into a larger balance. Nothing to stake, lock, or claim.
- USDλA dollar, backed one-for-one by escrowed USDC. Mints on deposit, redeems on withdrawal.
- sUSDλThe savings form of USDλ for holders outside the exchange. Redeemable for USDλ at any time.
- MarginCollateral inside your trading account earns the same yield while it waits for a trade.
Held in USDλ
$100,000
At an estimated
5.0 % APY
- Per year
- $5,000
- Per month
- $417
- Per day
- $13.70
Estimate for illustration. Yield is variable, depends on interest actually realised, and is not guaranteed.
Funding
Money in, in minutes.
Money out, whenever.
Three ways in. One way out: to a wallet you control, on your schedule, with no one to ask.
- 01
Card or Apple Pay
Pay with a credit or debit card, or Apple Pay. USDλ is credited to your account — no wallet, no bridge, no waiting on a chain.
- 02
Stablecoins
Send USDC from Ethereum, Base or Linea. It is held in escrow and you receive USDλ one-for-one, ready to trade or to earn.
- 03
Any token
Bring what you already hold. Swap any token into your account in a single step; the conversion and the deposit happen together.
Withdrawals
Withdraw USDλ to your own address at any time, and redeem it for USDC on the chain you came from. The exchange cannot hold your funds back — and if it ever stopped running, they would still leave.
Next on the floor
The floor is growing.
Everything below settles on the same account and the same dollar you already hold.
- IOngoing
More perpetuals
New markets listed continuously, across every sector on the board.
- IINext
Options
Calls and puts on the same cross-margined account, settled in USDλ.
- IIINext
Prediction markets
Markets on outcomes, created by anyone, resolved on the same rails.
- IVPlanned
Public vaults
Deposit into strategies run in the open, with the vault's book proven like everything else.
- VConsidered
Spot markets
Outright ownership alongside the perpetuals, on the same balance.
By Invitation
Early access opens in cohorts.
Tell us who you are and how you trade. Accounts are opened in small groups, so every one of them gets the attention it should.
Currently on testnet