Business Loan Calculator
Calculate monthly commercial debt service, upfront origination fees, total interest, total repayment, and true APR for business loans.
How It's Calculated
Formula
\begin{aligned} &\text{Monthly Payment } (P) = \dfrac{L \cdot r \cdot (1 + r)^N}{(1 + r)^N - 1} \\[6pt] &\text{Origination Fee} = L \times \dfrac{\text{Fee}\%}{100}, \quad P_{\text{net}} = L - \text{Origination Fee} \\[6pt] &P_{\text{net}} - \sum_{t=1}^N \dfrac{P}{(1 + r_{\text{APR}})^t} = 0 \implies \text{APR} = r_{\text{APR}} \times 12 \times 100\% \\[6pt] &\text{Total Cost of Financing} = N \times P + \text{Origination Fee}, \quad \text{Total Interest} = N \times P - L \end{aligned}Commercial business loans provide essential capital for business acquisition, expansion, equipment purchases, or working capital. Unlike consumer loans, business loans routinely include upfront financing charges, such as origination and underwriting fees, which are deducted directly from the gross borrowing amount before disbursement. This calculator computes both your regular monthly debt service (principal and interest) and your true Annual Percentage Rate (APR). The true APR reflects the real cost of capital by accounting for the fact that upfront fees reduce the actual net cash proceeds your business receives while monthly repayments remain based on the full nominal borrowing amount. By solving for the internal discount rate that equates your net loan proceeds with your stream of monthly debt service payments, this tool gives business owners and financial managers an accurate, transparent metric to evaluate commercial loan proposals.
Worked Examples
$100,000 working capital loan at 8.0% over 5 years with a 3.0% origination fee
- Gross borrowing amount L = $100,000, term = 5 years (N = 60 monthly payments), nominal rate = 8.0% (monthly r = 0.08 / 12 ≈ 0.0066667)
- Monthly debt service payment: P = 100,000 × (0.0066667 × 1.0066667^60) / (1.0066667^60 − 1) = $2,027.64
- Origination fee: $100,000 × 3.0% = $3,000.00, yielding net disbursed proceeds P_net = $97,000.00
- Total debt service over 60 months: 60 × $2,027.64 = $121,658.40; total interest = $121,658.40 − $100,000 = $21,658.40
- Total repayment including upfront fee: $121,658.40 + $3,000.00 = $124,658.40
- Solving 97,000 − 2,027.64 × [1 − (1 + r_APR)^(-60)] / r_APR = 0 yields monthly periodic rate r_APR ≈ 0.0077487
- Annual Percentage Rate: APR = 0.0077487 × 12 × 100% ≈ 9.30% (compared to the 8.0% nominal rate)
$250,000 equipment expansion loan at 7.5% over 10 years with a 2.0% origination fee
- Gross borrowing amount L = $250,000, term = 10 years (N = 120 monthly payments), nominal rate = 7.5% (monthly r = 0.075 / 12 = 0.00625)
- Monthly debt service payment: P = 250,000 × (0.00625 × 1.00625^120) / (1.00625^120 − 1) = $2,967.54
- Origination fee: $250,000 × 2.0% = $5,000.00; net disbursed proceeds P_net = $245,000.00
- Total debt service payments: 120 × $2,967.54 = $356,104.80; total interest = $106,104.80
- Total repayment including upfront origination fee: $356,104.80 + $5,000.00 = $361,104.80
- Solving for the effective discount rate yields r_APR ≈ 0.0066346, resulting in an APR of 7.96%
Frequently Asked Questions
What is the difference between nominal interest rate and APR on a business loan?
The nominal interest rate is the percentage charged on the outstanding loan balance to calculate monthly interest and debt service payments. The Annual Percentage Rate (APR) incorporates both that interest rate and any upfront fees (such as origination or processing fees). Because upfront fees reduce the actual cash disbursed to your business while your monthly payments remain based on the full nominal borrowing amount, the APR reflects your true annual borrowing cost and is higher than the nominal rate whenever fees are charged.
How do origination fees affect the cash my business receives?
Commercial lenders typically deduct origination fees directly from the loan balance at closing. For example, on a $100,000 loan with a 3% origination fee ($3,000), the lender wires $97,000 to your business bank account. However, your monthly debt service payments and amortization schedule are calculated on the full $100,000 principal balance.
Why does the business loan APR rise significantly on shorter-term loans with the same fee percentage?
Upfront fees represent a fixed one-time cost. On a shorter-term loan (e.g., 1 to 3 years), that one-time cost is amortized across fewer payment periods, substantially increasing the annualized effective rate. On a longer-term loan (e.g., 10 to 25 years), the upfront cost is spread over many more periods, making its impact on the annual percentage rate comparatively modest.
Are business loan interest payments and origination fees tax-deductible?
For most commercial entities, interest paid on business loans used for legitimate business purposes is generally tax-deductible as an ordinary business expense, subject to applicable IRS limits (such as Section 163(j) interest deduction caps). Origination and financing fees are generally capitalized and amortized over the life of the loan rather than deducted entirely upfront. Consult a qualified CPA or tax advisor for rules specific to your entity structure.