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Compare two loans or mortgage offers

Compare two offers for the same amount: payment, APR, total cost, which is cheaper if you repay early and the month their costs cross.

Published by SolucionesAhora.com How we verify

Calculator inputs

  1. Enter your figures, or press “See example” to watch it work.
  2. If your case is unusual, open “Advanced options”.
  3. Read the result and, below it, what it means and how it was worked out.

The capital you borrow, the same in both offers. If they offer to finance different amounts, compare using the same amount so the comparison is fair.

The nominal annual interest rate of offer A, as shown in the terms (not the APR). If the rate is variable, use the rate that applies now.

The nominal annual interest rate of offer B.

How many years the loan lasts in offer A. Half years are allowed (2.5 = 30 payments).

How many years the loan lasts in offer B. If it differs from A’s, the payment and total cost change: compare them carefully.

The fee the bank charges at signing, as a percentage of the capital. It is paid upfront, so it is not in the payment but it is in the cost and the APR.

% of the amount

The arrangement fee of offer B, as a % of the capital.

% of the amount

Advanced options

The fixed amount of costs you pay at the start that depend on the offer (valuation, application, legal fees…). Leave out those that are the same in both, such as taxes.

Valuation, legal fees…

The fixed upfront costs of offer B.

Valuation, legal fees…

What you pay each month for insurance tied to the loan. If the bank lowers the rate in exchange for taking out insurance, enter its monthly cost on the discounted offer.

Life, home…

The monthly insurance tied to offer B.

Life, home…

If you plan to repay the loan early (sell the home, refinance), enter how many years you will keep it: the cost up to that point is compared. With high arrangement fees, a short horizon changes the answer.

Years; blank = the shorter term

See the result

Results

Monthly payment A (with insurance)969.36
Monthly payment B (with insurance)907.34
APR of A (%)3.247
APR of B (%)2.827
Total cost of A90,807.39
Total cost of B76,401.70
Cost of A up to the horizon90,807.39
Cost of B up to the horizon76,401.70
Cost difference up to the horizon14,405.68
Month when the costs cross44
Detailed comparison
ItemOffer AOffer BB − A
Monthly payment (with insurance)969.36907.34-62.02
APR (%)3.2472.827-0.421
Interest90,807.3972,201.7-18,605.68
Upfront fees and costs04,2004,200
Insurance000
Total cost of the loan90,807.3976,401.7-14,405.68
Total paid290,807.39276,401.7-14,405.68
Cost up to the horizon90,807.3976,401.7-14,405.68
Balance owed at the horizon000
See the working step by step
  1. Total cost of the loan: A = 90,807.39, B = 76,401.70
  2. Cost up to month 300: A = 90,807.39, B = 76,401.70

In short

What it calculates
Compare two offers for the same amount: payment, APR, total cost, which is cheaper if you repay early and the month their costs cross.
Formula used
Payment = P · i / (1 − (1 + i)^−n) with i = rate / 12 and n = years × 12
Example
Example 1. Lower rate, but with costs.

Loan comparison calculator

Comparing loans by interest rate alone is misleading: an offer with a lower rate can cost more if it has an arrangement fee, upfront costs or compulsory insurance, and a lower payment usually means more years of interest. What matters is how much extra you pay in total, and up to when.

Enter the two offers with the same amount and the calculator gives the payment, the APR (the effective yearly cost with fees and insurance), the total cost, which offer is cheaper and, if you plan to repay early, which is cheaper up to that point. A chart shows the cumulative cost month by month and where the two curves cross. Everything runs in your browser.

How it works

Each offer is calculated as a constant-payment (amortising) loan. The cost of a loan is not the sum of the payments but what you pay above the principal: the interest, plus the arrangement fee and upfront costs, plus any monthly insurance.

The APR comes from finding the monthly rate that equates the money you actually receive (the amount minus upfront costs) with all the payments and insurance you will make; it is then annualised. That is why it includes fees and insurance, not just the nominal rate.

To see what happens if you repay early, the cost is added up month by month (interest and insurance, plus what was paid at the start) and compared at that horizon. When one offer has upfront costs and less interest afterwards, the two curves cross: that is the month from which it pays off.

Formula

Payment = P · i / (1 − (1 + i)^−n) with i = rate / 12 and n = years × 12
Upfront costs = P × arrangement fee % + other costs
Total cost = payment × n − P + upfront costs + monthly insurance × n
APR: find ρ such that P − upfront costs = (payment + insurance) × (1 − (1 + ρ)^−n) / ρ
APR = (1 + ρ)^12 − 1
Cost up to month t = upfront costs + Σ (each month’s interest + insurance) up to t
Balance owed at t = loan balance after t payments

Worked example

Example 1. Lower rate, but with costs.
You need $200,000 over 25 years. Offer A is at 3.2% with no costs; B is at 2.6% with a 1.5% arrangement fee and $1,200 of other costs. A’s payment is $969.36 and B’s is $907.34. A’s APR is 3.247% and B’s is 2.827%. A’s total cost is $90,807 and B’s is $76,402: B saves $14,406. Although B starts by paying $4,200 in costs, it stops being more expensive from month 44 (about three and a half years).

Example 2. Insurance changes the order.
With $180,000 over 30 years, A at 2.9% requires $35 a month of insurance and B, at 3.3%, does not. A’s total payment is $784.21 against B’s $788.32; A’s total cost is $102,317 and B’s $103,795: A is still $1,478 cheaper, but only just. With slightly dearer insurance the advantage would disappear.

Example 3. If you sell after five years.
$220,000 over 30 years: A at 3.0% with no costs, B at 2.4% with a 2% fee and $3,000 of costs. Up to year 5, A costs $31,246 and B $32,262: if you will repay then, A is $1,016 cheaper. If you keep it for the full 30 years, B saves $17,677. The curves cross in month 71. The answer depends on how long you keep the loan.

Explanation

What to compare in two loan offers

  • **The APR, not the interest rate**: the nominal rate leaves out fees, costs and insurance; the APR includes them. For the same term, the offer with the lower APR is cheaper.
  • **The total cost**: interest plus fees, costs and insurance. It is what you really pay above the principal.
  • **The payment**: what you can afford every month. A lower payment usually comes from a longer term, with more interest.
  • **The horizon**: if you will repay before the end, the cost up to that point matters, not the total.

How to read the break-even chart

Each offer’s line is its cumulative cost. An offer with an arrangement fee starts higher but climbs more slowly if its rate is lower. The point where the lines cross is when that offer starts to pay off. If you repay before that month, it will have cost you more.

Insurance and rate discounts

Many offers lower the rate in exchange for insurance, a card or a salary account. Enter the monthly cost of those products on the discounted offer; if you would take them out anyway you can leave them out, but compare honestly.

Common mistakes

  • Comparing only the interest rate or only the payment.
  • Forgetting one offer’s arrangement fee and upfront costs.
  • Comparing offers with different terms as if they were equivalent.
  • Not counting compulsory insurance or discounts.
  • Ignoring that with a variable rate the payment will change.

Limits of this calculator

  • It assumes a constant-payment loan at a fixed rate for the whole term; it does not model variable rates, an initial fixed period or payment holidays.
  • It does not include early-repayment charges: if your contract has one, add it to the cost up to the horizon.
  • The APR calculated is an approximation based on what you enter; the official one appears in the lender’s disclosure and may differ if it includes other items (such as taxes).
  • It accepts terms of up to 50 years.

Notice

This is an estimate and is neither an offer nor financial advice. Always check the figures against the lender’s official documents.

Frequently asked questions

What is the APR and why is it better than the interest rate?

The APR is the effective yearly cost of the loan: it includes the interest rate, fees, upfront costs and tied insurance. The nominal rate only counts interest, so the APR compares better.

How do I know which loan is better for me?

The cheapest is the one that costs least in total for the time you will keep it. Compare the APR, the total cost and, if you plan to repay early, the cost up to that horizon.

Why can an offer with a lower rate cost more?

Because the arrangement fee, costs and insurance are paid on top of interest. With little time to recoup them, they can exceed what you save on interest.

What does the month where costs cross mean?

It is the point from which the offer with upfront costs becomes cheaper than the other. If you repay before that month, the other offer will have cost you less.

Can I compare loans with different terms?

Yes, but also compare the cost up to the same horizon and not just the payment: a longer term lowers the payment and raises total interest.

How should I treat insurance the lender requires?

If the offer requires it, enter its monthly cost: it is part of the price. If it is optional and you would take it anyway, you can leave it out of both offers.

Does it work for variable-rate mortgages?

Only approximately, using the current rate. It does not model rate reviews; a variable payment can change the comparison.

Is my data sent to a server?

No. The calculation runs in your browser.

Sources and references

The formula behind this calculator is not ours. These are the sources it comes from, in APA 7 format, in case you want to go to the original or cite them in your own work.

  1. Directiva 2008/48/CE del Parlamento Europeo y del Consejo, de 23 de abril de 2008, relativa a los contratos de crédito al consumo. Diario Oficial de la Unión Europea, L 133, 66–92. https://eur-lex.europa.eu/legal-content/ES/TXT/?uri=CELEX:32008L0048 Defines the annual percentage rate of charge (APR) as the total cost of credit expressed as an annual percentage; it is the measure that allows offers to be compared.
  2. Banco de España. (s. f.). Portal del Cliente Bancario: préstamos hipotecarios y préstamos personales. https://clientebancario.bde.es https://clientebancario.bde.es Official guides on which fees and costs each type of loan includes and how to read the pre-contractual information sheet (a Spanish source, as a good-practice reference).

Need to calculate something else?

These tools are often used alongside this calculator.

Loan

Monthly payment, total interest, APR with fees and insurance, and how principal and interest split each year.

Mortgage

Monthly payment, total interest and the cash you need upfront to buy a home.

Amortisation

Payment by payment: interest and principal, and how much you save and how many months you cut by overpaying…

Monthly payment

Instalment amount when the term is quoted directly in months.

Compound interest

How much your money grows with regular contributions, and what it is really worth once inflation and fees…

Discount

Final price after a discount and exactly how much you save.