A loan comparison rate combines the interest rate with certain included loan fees into one annual percentage, helping you compare the estimated cost of similar loans. This calculator estimates a comparison rate from a loan amount, term, monthly payment and upfront fees; enter figures from the lender’s disclosure to see the implied annual rate.
Formula
The calculator finds the monthly interest rate that makes the present value of all monthly payments equal the amount borrowed after upfront fees, then converts that rate to a nominal annual percentage:
Estimated comparison rate (%) = 1,200 × rate(n, payment, net proceeds)
- n is the number of monthly payments: loan term in years × 12.
- payment is the monthly repayment in dollars.
- net proceeds are the loan amount minus the upfront fees entered, in dollars.
- rate(n, payment, net proceeds) is the monthly rate that amortizes the net proceeds through n equal payments.
- Estimated interest and fees = monthly payment × number of payments + upfront fees − loan amount.
This is an estimate based on a fixed payment and a single upfront fee. It treats the inferred monthly rate as nominal APR by multiplying it by 12; it is not necessarily the comparison-rate figure shown in a lender’s formal disclosure. The calculation cannot represent every fee structure or payment schedule.
Worked Example
Using the calculator’s defaults: loan amount $20,000, five years, monthly payment $405.53 and $0 upfront fees.
- Convert the term to payments: 5 × 12 = 60 monthly payments.
- Net proceeds are $20,000 − $0 = $20,000.
- Solve for the monthly rate that equates 60 payments of $405.53 with $20,000. The result is approximately 0.006 per month (about 0.6%).
- Annualize it: 0.006 × 1,200 ≈ 7.20%.
- Total paid is $405.53 × 60 = $24,331.80. Estimated interest and fees are $24,331.80 + $0 − $20,000 = $4,331.80.
Therefore, the calculator’s estimated comparison rate is 7.20%, and estimated interest and fees total $4,331.80. The comparison-rate result is inferred from the rounded payment entered, so it may differ slightly from a rate calculated using unrounded contractual payments.
Assumptions
- The interest rate is fixed and payments are equal monthly amounts.
- Payments are treated as occurring at regular monthly intervals.
- Interest is modelled monthly, using a monthly rate derived from the annual rate.
- Only the upfront fees you enter are included. Ongoing fees, optional services, taxes, insurance and other charges are not included.
What a Loan Comparison Rate Includes
A stated interest rate describes the price of borrowing before considering some charges. A comparison rate is designed to give a broader cost signal by incorporating the interest rate and specified fees into an annualized figure. Its purpose is to make the cost of comparable credit offers easier to assess, not to predict every borrower’s eventual bill.
What counts as an included charge, which loan amount and term are used for a published example, and what exclusions apply depend on the relevant disclosure method and product. A lender’s formal comparison rate may use assumptions or fee treatment that this simple calculator does not reproduce. Read the accompanying disclosure for the stated assumptions and included charges.
How to Compare Loan Figures
For a useful comparison, make sure the figures refer to the same borrowing amount, repayment frequency and loan term. Compare the complete disclosures, not just the headline percentage. Check whether a fee is charged once, monthly, annually, or only in particular circumstances. A fee omitted from either the calculator or a published comparison rate can affect the apparent cost.
- Use the repayment amount and term shown in the lender’s own loan information.
- Enter upfront fees only in the fee field; don’t subtract them from the loan amount yourself as well.
- Check for recurring account or service fees that are not represented here.
- Consider whether the repayment changes over time, for example because the rate is variable or a payment schedule differs.
- Use the lender’s disclosure to confirm the exact comparison-rate calculation and its assumptions.
A lower comparison rate does not automatically mean a lower total cost for every borrowing situation. The comparison may be based on a particular loan size and term, while your actual amount, timing, fees, repayment options or eligibility may differ. A rate is one input to understanding a loan, rather than a complete description of its features.
Common Limitations and Input Problems
The calculator assumes that the monthly payment remains level throughout the term and that the loan is paid through the stated number of regular instalments. It is not suitable for irregular repayments, interest-only periods, balloon payments, changing rates, or fees paid at multiple points unless those features are separately reflected in the inputs. It also does not determine whether a payment schedule or fee is actually part of a lender’s offer.
Enter the amount actually borrowed, not the total of all repayments. Enter the monthly payment as a positive dollar amount and the term in years. If fees are financed into the loan rather than paid upfront, they may already be part of the amount borrowed; subtracting them again as upfront fees would distort the result. Large rounding differences or inconsistent figures can also cause the inferred rate to differ from a disclosure.
The calculator’s second result is a simple total of payments plus entered upfront fees, less the amount borrowed. It is not a complete statement of all possible costs, and it does not account for the timing of fees beyond their treatment as a reduction in proceeds for the rate calculation.
Frequently Asked Questions
Is a comparison rate the same as an interest rate?
No. An interest rate describes the interest charged on the loan. A comparison rate combines interest with certain included fees under a defined calculation, so it can provide a broader cost measure.
Does a lower comparison rate always mean a cheaper loan?
Not necessarily. Published figures may use standard assumptions, and excluded fees or differences in your loan amount, term, repayment pattern or features can change the total cost. Check the full loan disclosure.
Why does this calculator’s result differ from a lender’s comparison rate?
The lender may include fees or use assumptions that are not entered here. This calculator models a fixed monthly payment and one upfront fee, and rounding the payment can also change the inferred rate slightly.
Should I include ongoing fees in the upfront fee box?
No. That field represents a single upfront fee. Adding recurring charges there treats them as if they were all paid at the start and can misstate the estimate. Review the lender’s disclosure for how recurring fees are handled.
What if my loan has a variable rate or balloon payment?
This estimate assumes equal monthly payments and a constant rate. Those features change the payment pattern or loan balance, so the result should not be treated as a reliable comparison rate for that structure.
This result is an estimate for educational purposes, and the lender’s disclosure gives the exact figures.
Related
Formula used
in p | Loan amount | $ | 20000 | 1 | 100000000 in yrs | Loan term | years | 5 | 0.0833 | 50 in pmt | Monthly payment | $ | 405.53 | 0.01 | 100000000 in fee | Upfront fees | $ | 0 | 0 | 100000000 out apr | Estimated comparison rate | % | rate(yrs * 12, pmt, p - fee) * 1200 | 2 out int | Estimated interest and fees | $ | pmt * yrs * 12 + fee - p | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.
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