Crypto-Backed Loan Interest Calculator
Solve the interest relation Interest = Loan × Rate × (Term / 12) for any of its four unknowns — interest cost, principal, annual rate, or term — with step-by-step math, a clean loan schematic, and companion metrics for LTV, liquidation price, and cost of capital.
Interest is only half the story of a crypto-backed loan. The other half is collateral: if the value of your posted crypto falls far enough, the loan gets liquidated and you lose the collateral. This card shows the LTV and the price at which a typical 80% liquidation threshold would trigger.
Loan-to-Value (LTV)
Enter the collateral value and the loan amount is taken from the principal above. The bar shows how close the position is to the liquidation threshold.
The risk nobody talks about
The interest on a $50K stablecoin loan at 8% APR for 12 months is $4,000. A 38% drop in the collateral would wipe out ten times that amount in a forced liquidation. Interest is the small, predictable cost; collateral price risk is the large, unpredictable one. Model your LTV against your conviction in the collateral — not against the interest bill.
Break-even move: the collateral needs to rise by the interest cost divided by the collateral value — about 4.00% — for the loan to be "free" in opportunity-cost terms.
This is simple interest, not compound
The formula computes simple interest — interest accrues linearly on the principal for the term, with no compounding. This is exactly how most DeFi lending protocols work: interest accrues per block on the outstanding principal balance, and you can repay at any time. If you never repay, the interest does not compound on itself, but you also continue to accrue on the same principal indefinitely. Aave and Compound use a per-second or per-block simple interest model, not a monthly compound model.
Interest is not the real cost — liquidation is
The dollar interest on a $50K loan at 8% for a year is $4,000. The collateral posted to secure that loan might be $100K of ETH or BTC. If the collateral price falls 20%, the position loses $20K — five times the interest bill. If it falls far enough to trigger liquidation (typically at 80–85% LTV), you lose the entire collateral buffer, not just the loan. Interest is the small, predictable, bounded cost; collateral price risk is the large, unpredictable, unbounded one. Anyone modelling a crypto loan should treat the liquidation price as the primary risk metric, not the interest rate.
Rates are variable on most DeFi protocols
Aave and Compound do not quote fixed APRs. The borrow rate is set by a utilization curve and moves up and down with supply and demand. A rate of 3% today might be 8% next week if utilization spikes. The interest formula assumes a constant rate over the term, which is an idealisation. For accurate planning, either use a fixed-rate protocol (Maple, Goldfinch, TrueFi, Notional) or model a range of rate scenarios and stress-test the highest plausible rate. This calculator uses a single rate; the sensitivity card below shows what happens when it moves.
Fees and gas are on top of interest
The formula captures only the interest component. Real loans also carry origination fees (typically 0.1–0.5% on DeFi protocols, up to 2% on CeFi desks), gas costs for opening and closing the position (which can be $10–$200 depending on the chain and network conditions), and liquidation penalties (5–15% of the collateral, applied only if the position is liquidated). For small loans on Ethereum L1, gas alone can exceed the interest cost. This calculator handles interest only; you should add the other costs separately to get the true all-in cost of borrowing.
How to Use This Calculator
The interest relation links four quantities: Interest, Loan, Rate, and Term. Pick which one you want the tool to solve, then fill in the other three.
1. Choose what to solve for
Pick Interest, Loan, Rate, or Term from the toggle. The calculator rearranges Interest = Loan × Rate × (Term / 12) automatically for whichever you choose.
2. Use realistic presets
Presets cover the range: loans from $1K to $1M, rates from 1% to 20% APR, and terms from 1 month to 36 months — covering retail DeFi, institutional fixed-term lending, and long-term treasury management.
3. Remember this is simple interest
The formula accrues linearly on the principal. It does not compound. If you plan to roll the loan or leave interest unpaid, you should model each rollover separately, or switch to a compound-interest calculation outside this tool.
4. Read the result and verdict
The result card shows the interest cost plus the total repayment, the effective monthly cost, and the daily accrual rate. A colour-coded verdict classifies the APR from ultra-cheap collateralised to expensive unsecured territory.
5. Check the LTV card and schematic
The LTV card shows how close your collateral is to the liquidation threshold and what collateral price would trigger it. The schematic shows the loan × rate × term/12 → interest flow.
6. Switch to Advanced for depth
Advanced mode adds a cost curve over term length, a sensitivity check on a +1% change in each input, and companion metrics including effective APR at different term lengths and the break-even collateral return.
What This Tool Offers
Built around the classic interest relation Interest = Loan × Rate × (Term / 12), the fundamental link between principal, rate, term, and cost.
Four-way solving
Solve for interest, principal, rate, or term. The calculator rearranges the formula for whichever variable you choose.
Clean loan schematic
A principal bar × rate box × term box = interest result circle, with live fills and a live readout of the exact calculation.
LTV & liquidation card
Input your collateral value and see the current LTV, the liquidation price at a standard 80% threshold, and the break-even collateral return.
Multi-unit hints
Each field shows related quantities — monthly and daily interest accrual, total repayment, effective cost, and rate benchmarks.
Dual comparison charts
Interest cost across loan sizes at the current rate and term, plus an advanced cost curve over term length.
APR benchmarks
Reference tables covering typical rates by protocol, LTV requirements across major platforms, and the simple-vs-compound distinction.
Reference Tables & Conversions
A live interest solver, a lookup grid, and typical rates & LTVs across major platforms.
Quick interest solver with cost breakdown
Interest Lookup at Loan = $50,000, Term = 12 months
Computed from Interest = 50,000 × Rate × (12/12) with fixed loan and term.
| Rate (APR) | Monthly cost | Daily cost | Annual interest | Total repay |
|---|
Typical Rates and LTV Requirements by Protocol
Representative values. Rates are variable on most DeFi protocols and move with utilization; LTV requirements depend on the collateral asset.
| Protocol / platform | Typical APR | Max LTV | Type | Notes |
|---|---|---|---|---|
| Aave v3 (stablecoin) | 3 – 8% | 75 – 80% | Variable | Utilization-driven; per-second accrual |
| Compound v3 (USDC) | 3 – 7% | 75 – 80% | Variable | Per-block accrual on Ethereum |
| MakerDAO (DAI) | 2 – 8% | 66 – 90% | Variable | Stability fee; collateral-dependent |
| Maple Finance | 8 – 12% | N/A | Fixed | Undercollateralised; institutional only |
| Goldfinch | 10 – 15% | N/A | Fixed | Emerging-market credit; higher risk |
| Morpho / Euler | 4 – 10% | 80 – 90% | Variable | Optimised lending pools |
| Nexo / Celsius-style CeFi | 6 – 12% | 50 – 65% | Fixed or variable | Custodial; counterparty risk; sector shrank after 2022 |
| Unsecured crypto credit | 15 – 30% | N/A | Fixed | Very high risk; small market |
Simple vs. Compound Interest
Most DeFi protocols use simple interest accrual, but the distinction matters when modelling longer-term positions or rolled loans.
| Feature | Simple interest | Compound interest |
|---|---|---|
| Formula | Interest = P × r × t | Interest = P × ((1 + r/n)^(n·t) − 1) |
| Accrual basis | Always on the original principal | On principal + accrued interest |
| Used by | Aave, Compound, MakerDAO, most DeFi lending | Credit cards, traditional mortgages, savings accounts |
| Cost of a $50K, 8%, 12-month loan | $4,000 | $4,150 (monthly compounding) |
| Behaviour over long terms | Linear — doubling the term doubles the interest | Exponential — doubling the term more than doubles the interest |
Variable Reference
| Symbol | Meaning | Typical range | Units |
|---|---|---|---|
| Loan | Principal borrowed | 100 – 1e9 | USD |
| Rate | Annual percentage rate | 1 – 30 | % APR |
| Term | Duration of the loan | 1 – 60 | months |
| Interest | Total interest cost | 0.01 – 1e9 | USD |
| LTV | Loan-to-value ratio | 0 – 90 | % |
| Total repay | Principal + interest | — | USD |
What Does Interest = Loan × Rate × (Term / 12) Measure?
Crypto-backed loan interest connects four quantities that every borrower works with: the principal borrowed (Loan), the annual percentage rate (Rate), the length of the loan (Term), and the total cost of borrowing (Interest). It is the standard simple-interest calculation used by every DeFi lending protocol — Aave, Compound, MakerDAO, Morpho — and it is the number that determines whether a crypto-backed loan is cheaper than selling and re-buying the underlying asset.
Interest Cost Formula
The defining relationship is:
Rearranged to solve for the other three unknowns:
Rate = Interest / (Loan × Term / 12)
Term = 12 × Interest / (Loan × Rate)
From these, additional metrics follow directly:
Daily interest = Interest / (Term × 30.44)
Total repay = Loan + Interest
Effective annual cost = Rate (identical under simple interest with t = 1 year)
Interest Variables
| Symbol | Meaning | Notes |
|---|---|---|
| Loan | Principal amount borrowed | Typically a stablecoin (USDC, USDT, DAI) |
| Rate | Annual percentage rate | Variable on most DeFi protocols; fixed on Maple, Goldfinch, etc. |
| Term | Duration of borrowing | In months; DeFi loans are often open-ended with repay anytime |
| Interest | Cost of borrowing | Simple interest; separate from fees, gas, and liquidation penalties |
| LTV | Loan-to-value ratio | Loan ÷ collateral; the key risk metric for liquidation |
How Each Variable Affects the Cost
Interest scales linearly with all three inputs, so the arithmetic is easy. Doubling the loan doubles the interest. Doubling the rate doubles the interest. Doubling the term doubles the interest. This linearity is what makes simple interest so predictable — you know exactly what you will pay for any combination of principal, rate, and time, without needing iterative calculations or schedule tables. The trade-off is that simple interest does not reward early repayment the way compound structures do, because there is no amortisation schedule; you pay for the time you actually borrow, no more and no less.
The most important practical point is that the dollar interest cost is almost never the dominant risk in a crypto-backed loan. A $50,000 stablecoin loan at 8% APR for 12 months costs $4,000 in interest — a small, predictable, bounded amount. The $100,000 of ETH or BTC pledged as collateral for that loan can swing $20,000 or more in a single week. If collateral falls far enough to push the LTV above the protocol's liquidation threshold (typically 80–85%), a liquidation penalty of 5–15% of the collateral is assessed on top of the loss of the price move itself. The interest cost is a rounding error compared to the collateral risk. This is the single most important framing for any crypto borrower: the interest rate determines whether the trade is worth doing, but the collateral price risk determines whether you survive long enough to benefit from it.
A second practical point: most DeFi protocols charge variable rates, not fixed. Aave's borrow rate for USDC moves up and down with utilization — the fraction of the supplied pool that has been borrowed. At low utilization, rates can be 1–3%. At high utilization (approaching 90%+), rates can spike to 10–20% in hours. The rate you see when you open the loan is not the rate you will pay for the whole term. Sophisticated borrowers either use fixed-rate protocols, or they monitor utilization and repay early if rates spike. The interest formula assumes a constant rate; real borrowing conditions require ongoing monitoring.
Interest Cost Calculation Examples
Interest = 50,000 × 0.08 × (12 / 12) = $4,000
Interest = 50,000 × 0.08 × (6 / 12) = $2,000
Interest = 100,000 × 0.05 × (24 / 12) = $10,000
Loan = 4,000 / (0.08 × 12 / 12) = $50,000
Rate = 4,000 / (50,000 × 12 / 12) = 0.08 = 8.00% APR
Term = 12 × 4,000 / (50,000 × 0.08) = 12 months
Frequently Asked Questions
A crypto-backed loan lets you borrow stablecoins (or sometimes other crypto) against your crypto holdings without selling them. You post collateral — say $100K of ETH — and borrow $50K of USDC against it. The appeal is that you get liquidity without triggering a taxable sale and without giving up your long-term exposure to the collateral's price. If ETH doubles, your collateral doubles in value even though you borrowed against it. This is why the loans are popular for tax deferral, leveraged long positions, and short-term cash needs. The trade-off is that if the collateral price falls far enough, you get liquidated — the protocol sells your collateral to repay the loan, and you lose the remaining collateral buffer as well. Interest is the small cost; liquidation is the large risk.
Simple. Aave, Compound, MakerDAO, Morpho, and virtually every other DeFi lending protocol accrue interest on the outstanding principal balance per second or per block, with no compounding on accrued interest. The formula in this calculator — Interest = Loan × Rate × (Term / 12) — is exactly the simple-interest formula and matches the DeFi accrual model. By contrast, credit cards, traditional mortgages, and most savings accounts use compound interest, where interest accrues on interest. For a $50K loan at 8% for 12 months, simple interest costs $4,000; monthly-compounded interest would cost $4,150. The difference is small at short terms and single-digit rates, but grows substantially for longer terms and higher rates.
LTV (loan-to-value) is the ratio of your loan balance to your collateral value. If you borrow $50K against $100K of ETH, your LTV is 50%. Each protocol sets a maximum LTV — typically 75–80% for stablecoin loans against major crypto — and if the LTV exceeds that threshold due to a collateral price drop, the position is liquidated: the protocol automatically sells your collateral to repay the loan and takes a penalty (usually 5–15% of the collateral) for the trouble. This is why LTV matters more than interest rate: the interest on a $50K loan at 8% for a year is $4,000, but a single liquidation event could cost you $10,000+ in penalty plus the loss of any remaining collateral buffer. The interest is the small, predictable cost; the liquidation risk is the large, unpredictable one.
Liquidation price is the collateral price at which your LTV crosses the protocol's threshold. If you borrow $50K against $100K of collateral and the protocol's max LTV is 80%, then liquidation occurs when the loan balance ($50K plus accrued interest) is 80% of the collateral value — i.e. when collateral falls to $62,500 (assuming no interest accrued yet). That is a 37.5% drop from $100K, so a 1 BTC collateral position at $100,000 would liquidate at $62,500. The formula is: liquidation price = loan balance / max LTV / collateral quantity. As interest accrues, the loan balance grows, so liquidation price rises slowly over time even if collateral price is unchanged. This calculator models this on the LTV card above: input your collateral value and see the current LTV, the liquidation threshold, and the break-even collateral return.
Aave and Compound do not set rates; the market does. Each lending pool has a supply side (lenders depositing USDC) and a borrow side (borrowers taking USDC out). The borrow rate is set by a utilization curve — the fraction of the pool that has been borrowed. At low utilization, rates are low (1–3%) to encourage borrowing. As utilization rises, rates rise sharply (up to 10–20% or more) to encourage repayment and attract more supply. This means the rate you borrow at today is not the rate you will pay tomorrow. A rate of 3% can become 8% in a week if utilization spikes. Sophisticated borrowers monitor their positions constantly, or use fixed-rate alternatives like Maple, Goldfinch, or Notional to lock in a rate for the term.
Several. Origination fees (0.1–0.5% on most DeFi protocols, up to 2% on CeFi lending desks), gas costs to open the loan and to repay it (which can be $10–$200 on Ethereum mainnet depending on congestion, and near-zero on L2s), and liquidation penalties (5–15% of collateral, applied only if the position is liquidated) all sit on top of the interest. On small loans, gas alone can rival or exceed the interest cost — a $1,000 loan with $50 in gas on both ends has effectively 10% in fees before a single day of interest accrues. Always size the loan so the fees are a small fraction of the principal. This calculator handles interest only; add fees and gas separately for the true all-in cost.
It depends on three things: the interest cost, the tax you would owe on a sale, and your conviction in the collateral. If you would owe 20% long-term capital gains on a $50K sale ($10K in tax), then paying $4K in interest for a 12-month loan is cheaper by $6K — the loan wins on pure cost. But the loan adds liquidation risk that a sale does not have: if the collateral falls 40% during the term, you may be forced out of the position entirely. So the loan makes sense if (a) the interest rate is below your tax rate, (b) you have high conviction the collateral will not crash, and (c) you are comfortable monitoring the LTV. If any of those three is not true, selling may be the cleaner path — especially with the ability to re-buy and reset the cost basis.
Variables
| Symbol | Quantity | Unit |
|---|---|---|
| Interest Cost | Total interest cost | currency |
| Loan Amount | Amount borrowed | currency |
| Interest Rate | Annual interest rate | % |
| Loan Term | Loan duration | months |
What it means
Crypto‑backed loans allow borrowers to use crypto as collateral. The interest cost is calculated similarly to traditional loans. This is used to evaluate the cost of borrowing and to compare lending platforms. Understanding this helps borrowers make informed decisions about leveraging crypto assets. It is important for calculating net returns from using borrowed funds.
Worked example
Crypto‑Backed Loan Interest Cost – Two Detailed Examples
Real‑World| Parameter | Value |
|---|---|
| Loan Amount | $10,000 |
| Interest Rate | 8% |
| Loan Term (months) | 12 |
| Parameter | Value |
|---|---|
| Loan | $5,000 |
| Rate | 10% |
| Term | 6 months |
Common mistakes
- Loan amount: The principal borrowed.
- Interest rate: The annual interest rate (in decimal).
- Loan term (months): The duration of the loan.
- Interest cost: The total interest paid over the term.
- Does not include fees: Origination fees or collateral management fees may apply.
Applications
Crypto‑backed loan interest cost calculates the total interest payable on a loan using the loan amount, interest rate, and term. This is used by borrowers to assess the cost of borrowing against their crypto assets. By understanding the interest cost, they can decide whether a loan is worthwhile and compare with other financing options. This formula is essential for DeFi lending and borrowing.
- Assessing the cost of crypto‑backed loans
- Comparing interest rates across lending platforms
- Planning debt repayment and cash flow
- Evaluating the affordability of borrowing
- Educational understanding of crypto lending
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