Financial Calculators

Business Loan Calculator | Repayment Breakdown & APR Estimation


Business Loan Calculator

Loan Summary

Monthly Repayment: $

Total Payment: $

Total Interest: $

Loan Start Date:

Repayment Bar Chart

Business Loan Calculator — Repayment Breakdown & APR Estimation

Imagine you need $50,000 to expand your small business — hire staff, buy equipment, or open a new location. You want to know: how much will you repay each month? How much interest will you pay over the life of the loan? And how does the APR change if the lender charges origination fees? A good Business Loan Calculator answers all of that in seconds and produces a clear amortization schedule so you can plan cash flow.


Why this matters

Getting the repayment numbers right is essential for business planning. Monthly payments affect payroll, inventory purchases and operating cash. Total interest shows the real cost of financing. APR (annual percentage rate) reveals the true yearly cost when fees are included — it helps you compare offers fairly. Use the calculator before you sign anything so you don’t squeeze your business cash flow by mistake.


What you enter

  • Loan Amount ($) — the principal you borrow (e.g., $50,000).
  • Annual Interest Rate (%) — the nominal annual rate (e.g., 6.0%). If the loan compounds monthly, provide the quoted APR or nominal rate.
  • Loan Term (years) — how long you will take to repay (e.g., 5 years).
  • Start Date — the date when the loan funds or repayments start (affects the amortization calendar).
  • Fees (optional) — origination fees, closing costs, or prepayment penalties (used for APR estimation).
  • Payment frequency — usually monthly (calculator assumes monthly by default).

Core formulas

Core formulas (what the calculator uses)

All the math below assumes monthly payments and monthly compounding:

  • Monthly interest rate:
    \(r_m = \dfrac{r_{\text{annual}}}{12}\)
    Example: 6% → 0.06/12 = 0.005
  • Number of payments:
    \(n = \text{years} \times 12\)
  • Monthly payment (fixed-rate amortizing loan):
    \[ \text{Payment} = P \times \frac{r_m}{1 – (1 + r_m)^{-n}} \]
    where P is loan principal.
  • Total payment over life of loan:
    \(\text{Total Paid} = \text{Payment} \times n\)
  • Total interest paid:
    \(\text{Total Interest} = \text{Total Paid} – P\)
  • APR with fees:
    APR is the annual interest rate that equates the net proceeds (principal minus fees) to the stream of loan payments. That requires solving for the rate r in the present-value equation (usually by numeric methods such as IRR or Newton–Raphson), so the calculator uses an internal solver to estimate APR when fees are present.
Notes:
– All formulas above assume monthly compounding and monthly payments.
– If you want to display these formulas without external scripts, replace the MathJax LaTeX with plain text or images.

How the calculator works

  1. You enter: loan amount, annual rate, term, start date, and any fees.
  2. It converts the annual rate to a monthly rate and computes number of monthly payments.
  3. It calculates the fixed monthly payment using the formula above.
  4. It builds an amortization schedule: for each month it shows:
    • Beginning balance
    • Interest for the month = beginning balance × rm
    • Principal paid = payment − interest
    • Ending balance = beginning − principal paid
  5. It sums totals: total paid and total interest.
  6. If fees are entered, the tool runs a numeric solver to compute APR: the rate that makes the present value of payments equal to the net funds received (principal minus fees).

It outputs: monthly payment, total interest, amortization table (first/last rows shown), and APR (if fees entered).

Example (real numbers)

Loan Amount: $50,000
Annual rate: 6.00% (nominal)
Term: 5 years (60 months)
  • Monthly rate = 0.06 / 12 = 0.005
  • n = 60
  • Monthly payment =
(precisely ≈ $965.61)
Total paid ≈ $965.61 × 60 = $57,936.60
Total interest ≈ $7,936.60

First month interest = 50,000 × 0.005 = $250; principal = 965.61 − 250 = $715.61; ending balance ≈ $49,284.39. Interest portion declines each month while principal portion rises.

If the lender charges a $1,000 origination fee (deducted from funds), the APR with that fee higher than 6%. The calculator will compute the APR that equates net proceeds ($49,000) to the 60 payments of $965.61 — that APR might be ≈ 6.9% (example only; exact value found by solver).

FAQs

Yes, for fixed-rate amortizing loans with equal payments.
Convert rate and period accordingly (annual rate divided by frequency; n = years × frequency).
APR includes required fees and shows the true annual cost; nominal rate does not.
Usually yes; check for prepayment penalties. Paying early saves interest.
Yes — extra principal reduces total interest and shortens the loan.
Early payments mostly cover interest because the balance is highest then.
A month-by-month table showing interest/principal and remaining balance.
Fees typically don’t affect the listed monthly payment unless the lender amortizes them into the loan; they do increase APR.
Accurate if you include all mandatory fees and payment timing; calculators use numeric solvers for precision.
Shorter term → higher monthly payments but less total interest; longer term → lower monthly payments but more interest overall.