Calculator

Interactive estimates using the exact protocol formulas. Enter human amounts (whole DOHM, USD, ×-multipliers); the math mirrors the on-chain floor division. These are estimates — live chain state (index, reserves, capacity, rate) is what actually executes.

Staking — shares from a deposit

DOHM to stakeCurrent indexDOHM per share (starts 1.0, only rises)

You receive 80 sDOHM.
If the index later reaches 1.5, they'd be worth 120 DOHM (unstaking now returns 100 DOHM).

Bond — payout for a deposit

ModeFixed priceCurveDeposit value (frUSD)

Fixed price (frUSD/DOHM)Treasury floor (frUSD/DOHM)accretion needs price ≥ floor

Payout 90.90909091 DOHM at 11 frUSD/DOHM effective.
Price 11 ≥ floor 10 — passes the accretion guard.

Rebase & yield estimate

Backing ratio (×)reserve ÷ liabilities at floorTarget ratio (×)

Max rate (% / epoch)governance-capped at 10%Epoch length (blocks)≈ blocks per epoch

Effective rate 0.2% per epoch.
Estimated APY 10.07% (~48 epochs/yr, compounded). Upper bound — assumes the rate holds and no excess cap.

Swap output (constant-product AMM)

Amount inFee (per 1000)10 = 1%

Reserve inReserve out

You receive 1,185.65240823 (11.856524 out per in; ~1.2% vs the no-slippage rate).

Reference formulas

If you want to compute by hand:

Staking — shares = ⌊ deposit × 1e8 / index ⌋; later value = shares × index / 1e8.

Bond (fixed) — payout = deposit_usd × 1e8 / fixed; effective price = deposit_usd / payout.

Bond (curve) — payout = deposit_usd × v_out / (v_in + deposit_usd); curve spot = 1e8 × v_in / v_out.

Rebase rate — rate_eff = rate_max × (ratio − 1) / (target − 1), clamped to [0, rate_max] (0 at ratio ≤ 1×, rate_max at ratio ≥ target).

APY estimate — (1 + rate_eff)^(blocks_per_year / epoch_length) − 1.

Swap output — out = ⌊ in×(1000−fee) × reserve_out / (reserve_in×1000 + in×(1000−fee)) ⌋.