Calculating an equipment loan payment is straightforward math once you know the four inputs: principal, rate, term, and structure. This guide shows the formula, walks through worked examples, and explains why your actual offer may differ from the calculation.
The four inputs
- Principal: The financed amount (purchase price minus down payment, plus any rolled-in soft costs)
- Interest rate: Annual percentage rate (APR)
- Term: Number of monthly payments (often 24 to 84 months)
- Structure: Fully amortizing, balloon, deferred, or step-payment
The standard amortizing payment formula
For a fully amortizing loan:
Payment = P × (r × (1 + r)^n) / ((1 + r)^n – 1)
Where:
- P = Principal (loan amount)
- r = Monthly interest rate (APR / 12)
- n = Number of monthly payments
Worked example
Equipment cost: $200,000. Down payment: $20,000. Principal financed: $180,000. APR: 9.5%. Term: 60 months.
- r = 0.095 / 12 = 0.00792
- n = 60
- (1 + r)^n = (1.00792)^60 = 1.6075
- Numerator: 0.00792 × 1.6075 = 0.01273
- Denominator: 1.6075 – 1 = 0.6075
- Payment = 180,000 × (0.01273 / 0.6075) = 180,000 × 0.02096 = $3,772
Monthly payment: about $3,772. Total paid over 60 months: about $226,300. Total interest: about $46,300.
Quick mental math approximation
For rough estimates without a calculator:
- Loan amount × (monthly rate + 1/n) ≈ monthly payment
- For 9.5% / 60 months: 180,000 × (0.00792 + 0.01667) = 180,000 × 0.0246 ≈ $4,428 (overstates by ~17% because it ignores the time-value compression)
For better mental math, use a payment-per-thousand table.
Payment-per-thousand reference
| Rate | 36 mo | 48 mo | 60 mo | 72 mo | 84 mo |
|---|---|---|---|---|---|
| 6.0% | $30.42 | $23.49 | $19.33 | $16.57 | $14.61 |
| 8.0% | $31.34 | $24.41 | $20.28 | $17.53 | $15.59 |
| 10.0% | $32.27 | $25.36 | $21.25 | $18.53 | $16.60 |
| 12.0% | $33.21 | $26.33 | $22.24 | $19.55 | $17.65 |
| 14.0% | $34.18 | $27.33 | $23.27 | $20.61 | $18.74 |
| 16.0% | $35.16 | $28.34 | $24.32 | $21.70 | $19.86 |
To use: multiply your loan amount in thousands by the payment-per-thousand at your rate and term.
$180,000 at 10% / 60 months: 180 × $21.25 = $3,825/month.
Lease payment calculation
Lease payments use a similar formula but reduce the loan amount by the residual value:
Lease Payment = (P – Residual / (1+r)^n) × (r × (1+r)^n / ((1+r)^n – 1))
Or simpler: lease payment is roughly equivalent to financing (Principal – PV of Residual) over the term at the lease rate.
What the calculator does not capture
Your actual offer may differ from the calculation because of:
- Origination fees rolled into the loan, increasing the financed amount
- Doc fees added at closing
- UCC filing fees
- First and last payment some lenders collect both at signing
- Variable-rate adjustments if rate is not fixed
- Soft costs like delivery, installation, training that are rolled in
- Insurance binders sometimes added to the loan
- Tax on the equipment in some structures
A $180,000 financed amount can become $195,000 once fees and soft costs are added. Payment scales proportionally.
Estimating total interest paid
Total interest = (Monthly payment × Number of payments) – Principal
From the worked example: ($3,772 × 60) – $180,000 = $226,320 – $180,000 = $46,320 in interest.
For shorter terms, less total interest is paid because principal pays down faster.
Comparing rates and terms
Same $180,000 principal across different structures:
| Rate | Term | Monthly | Total interest |
|---|---|---|---|
| 8% | 60 mo | $3,650 | $39,000 |
| 10% | 60 mo | $3,825 | $49,500 |
| 10% | 72 mo | $3,336 | $60,200 |
| 10% | 84 mo | $2,988 | $70,800 |
| 12% | 60 mo | $4,003 | $60,200 |
Longer term = lower monthly + more total interest. Higher rate = higher monthly + more total interest.
Tools and resources
To calculate without doing the math:
- Use our equipment payment calculator
- Most spreadsheet apps have a PMT function: =PMT(rate, periods, -principal)
- Lender websites typically have calculators that include their specific fees
Common questions
Why is my actual payment higher than the calculator shows? Usually fees rolled in. Confirm what is in your principal.
Does the calculator account for prepayment penalty? No. Prepayment penalty applies only if you pay off early. The calculator shows the schedule assuming you stay to maturity.
What if my rate is variable? The calculation works for the current rate. Future rate changes will adjust payments accordingly.
How do I calculate the payment with a balloon? Use the standard amortization formula with the balloon amount as the negative future value (FV). In Excel: =PMT(rate, periods, -principal, balloon_amount). This produces a lower payment with the balloon due at the end.
Action steps
- Identify your principal (financed amount including any rolled-in fees)
- Confirm rate and term from your lender’s offer
- Calculate the payment using the formula or our calculator
- Verify the calculator output matches your lender’s official offer
- If discrepancy exists, ask the lender to itemize
