loan
Loan Payment Calculator
Estimate monthly payment, total paid, and total interest for an amortizing loan at a fixed rate.
loan calculator
The Business Loan Calculator estimates scheduled repayment from loan amount, interest rate, compounding frequency, term years and months, repayment schedule, and three flat fee fields. It reports the periodic payment, total loan payments, interest, fees, interest plus fees, payoff periods, principal, interest, and fee shares, plus an internal real APR-style cash-flow estimate.
Your scenario
Working scenario
Not saved yet
Saved scenarios
Save this result, then use saved scenarios to switch between assumptions.
Use this calculator to compare entered business-loan repayment structures such as monthly amortizing payments, quarterly payments, interest-only monthly payments, or one payoff at maturity. Use Loan Payment when fees and compounding cadence do not matter, APR when the question is fee treatment for a generic loan, Amortization when a payment schedule is needed, Payback Period or ROI when the business question is cash recovery or return, and SBA, CFPB, FTC, IRS, GOV.UK, FCA, lender disclosures, or local regulator sources when eligibility, tax, accounting, disclosure, collateral, approval, covenant, promotion, or jurisdiction-specific claims matter.
The app maps repayment schedule to periods per year: daily 365, weekly 52, biweekly 26, semimonthly 24, monthly 12, quarterly 4, semiannual 2, and annual 1. It converts term years plus term months into total years, then payoff periods are max(1, round(total years * periods per year)). The selected nominal annual rate and compound frequency become an effective payback-period rate; continuous compounding uses exp(rate / periods per year) - 1, while other compounding choices use (1 + rate / compound periods)^(compound periods / payback periods) - 1. Standard repayment uses PMT = P * i / (1 - (1 + i)^-n), with P / n for a 0 rate. Interest-only mode uses an effective monthly rate for monthly interest and adds principal to the final cash flow. At-maturity mode compounds the loan amount to one final payoff. Total fees equal origination fee plus documentation fee plus other fees, net proceeds for the APR-style solve are max(0.01, loan amount - total fees), and principal, interest, and fee shares use total loan payments plus fees as the denominator.
This formula page covers the app's Business Loan Calculator: scheduled repayment from a loan amount, nominal interest rate, compounding frequency, term, payback frequency, and three flat lender-fee fields. It estimates amortizing payments, interest-only monthly payments, at-maturity payoff, total interest, total fees, interest plus fees, an internal real APR-style cash-flow rate, and principal, interest, and fee shares. It does not calculate lender approval, SBA eligibility, tax deductibility, accounting treatment, collateral, covenants, personal guarantees, regulated disclosures, or jurisdiction-specific business-finance rules.
p = periodsPerYear(paybackFrequency); Y_total = Y + M / 12; n = max(1, round(Y_total * p)); i = continuous ? exp(R / p) - 1 : (1 + R / c)^(c / p) - 1; amortizing: PMT = P * i / (1 - (1 + i)^-n); zero rate: PMT = P / n; interest-only: PMT_io = P * i_m and final cash flow includes P; at maturity: Total = P * (1 + i)^n; F = F_orig + F_doc + F_other; NP = max(0.01, P - F); APR_est solves PV(CF_t, a) = NP and annualizes a * p * 100
The calculator converts the entered annual percentage rate into the selected payback-period rate, then chooses an amortizing, interest-only, or at-maturity branch. Fees reduce the net proceeds used for the APR-style solve but are also reported separately as dollar costs and cost shares.| Symbol | Meaning | How this page uses it |
|---|---|---|
| P | Loan amount | The amount borrowed before the modeled flat fees are subtracted from proceeds. |
| R | Nominal annual rate as a decimal | The Interest rate input divided by 100. It is a fixed user-entered assumption, not a live lender rate. |
| c | Compound periods per year | The compounding-frequency mapping used for annual, semiannual, quarterly, monthly, semimonthly, biweekly, weekly, daily, or continuous compounding. |
| p | Payback periods per year | The repayment mapping used by the app: daily 365, weekly 52, biweekly 26, semimonthly 24, monthly 12, quarterly 4, semiannual 2, and annual 1. Interest-only and at-maturity branches use monthly timing for the internal cash-flow solve. |
| Y_total | Total term in years | Loan term years plus loan term months divided by 12. |
| n | Payoff periods | The rounded number of payback periods, floored at 1 before the schedule is built. |
| i | Effective payback-period rate | The rate implied by the selected nominal rate, compounding frequency, and payback frequency. |
| i_m | Effective monthly rate | The monthly rate used for the interest-only branch, derived from the selected compounding frequency. |
| PMT | Periodic payment | The amortizing payment for standard repayment frequencies, or the monthly interest-only payment in interest-only mode. |
| F | Total fees | Origination fee plus documentation fee plus other fees. |
| NP | Net proceeds | Loan amount minus total fees, floored at 0.01 before the APR-style solve to avoid a zero or negative present-value target. |
| CF_t | Cash flow in period t | The scheduled repayment cash flow used by the APR-style solver. Interest-only mode adds principal to the final cash flow; at-maturity mode has one final cash flow. |
| APR_est | Internal real APR-style rate | The annualized rate solved from net proceeds and scheduled cash flows. It is an estimate, not a statutory APR disclosure. |
| TP | Total loan payments | The sum of scheduled loan payments before adding the separately reported fee amount. |
| TI | Total interest | Total loan payments minus the original loan amount. |
| IF | Interest plus fees | Total interest plus total fees. |
| CostBase | Cost-share denominator | Total loan payments plus total fees, used to calculate principal, interest, and fee shares. |
The validation fixtures cover the main repayment branches: monthly amortization with fees, quarterly repayment with monthly compounding, interest-only repayment, and one final maturity payoff.
The examples show how repayment cadence, compounding, and fees change the arithmetic. They do not prove that a lender will approve the loan, charge the entered fees, disclose APR the same way, or treat the cost as deductible or capitalizable.
Geographic scope: works globally. The math is currency-agnostic, so enter amounts in your own currency; local taxes, fees, and product rules are not included.
Business lenders often quote a rate and then add origination, documentation, and other flat fees. The real-APR output solves the annualized rate that matches your scheduled payments against net proceeds after those fees - the default example turns a 10 percent nominal rate on $10,000 with $1,250 of fees into a noticeably higher effective figure. It is the number to compare across offers with different fee stacks.
Yes - payback frequency supports daily, weekly, biweekly, semi-monthly, monthly, quarterly, semi-annual, and annual schedules, and compounding frequency is set separately. The calculator converts the nominal rate into the correct per-period rate for the combination you pick, which matters because a daily-payback merchant-style schedule at a quoted rate costs very differently than monthly payback at the same rate.
Three repayment structures are supported: standard amortizing payments, interest-only payments with the full principal due at the end, and a single at-maturity payoff where interest compounds untouched. The outputs break total cost into principal, interest, and fee percentages, making it plain that a lower recurring payment usually buys a larger total cost. Approval, collateral, covenants, and lender-specific terms stay outside the model.
This calculator is an original business-financing model spanning eight payback frequencies, separate compounding frequencies, amortizing, interest-only, and at-maturity structures, three fee fields, and a real-APR solve from net proceeds, validated by deterministic fixtures. It is not copied from a single source.
Fixtures pin each repayment structure and frequency pairing plus the fee-adjusted real-APR solve. The result remains an educational estimate, not a lender disclosure or an approval indication.
Formula version 2026.05.22-generic-business-loan. The version marks the calculation logic and validation fixture set used for this estimate.
Results are educational estimates, not advice. Read the full disclaimer.
loan
Estimate monthly payment, total paid, and total interest for an amortizing loan at a fixed rate.
loan
Estimate a fixed loan payment schedule, payoff timing, first-month split, and interest saved from extra payments.
loan
Estimate annual percentage rate from loan amount, note rate, term, and finance charges.
loan
Estimate personal loan payments, total cost, payoff date, and effective APR after fees and monthly insurance.
investment
Estimate simple and discounted payback periods for an investment with recurring annual cash flow.