Loan Comparison Calculator
Loan A
Loan B
The Lower Rate Doesn't Always Win
Comparing two loan offers side by side is trickier than it looks when the principal, rate, and term all differ between them. A loan with a higher rate but a shorter term can end up costing less in total interest than a lower-rate loan stretched over more years — this calculator runs both through the same amortization formula and declares a clear winner by total cost.
The Formula
Total Paid = M × n
Total Interest = Total Paid − P
Each loan is run through the standard amortized-payment formula independently, using its own principal, rate, and term, and the two totals are compared directly.
What to Watch For Beyond the Headline Rate
- Term length differences — a shorter term almost always raises the monthly payment even at a similar rate, but lowers total interest paid.
- The monthly payment vs. total cost trade-off — the loan with the smaller monthly payment isn't necessarily the cheaper one over its full life.
- Fees not captured here — origination fees or closing costs aren't part of this comparison; check the APR Calculator if a loan includes upfront fees.
Worked Example
Two $25,000 loan offers: Loan A at 6.5% over 5 years, Loan B at 5.9% over 6 years:
| Loan | Rate | Term | Monthly Payment | Total Paid |
|---|---|---|---|---|
| A | 6.5% | 5 years | $489.15 | $29,349.22 |
| B | 5.9% | 6 years | $413.14 | $29,746.30 |
Loan A costs about $397 less in total despite the higher rate, because its shorter term limits how long interest accrues.
How to Use This Calculator
- Enter Loan A Principal, Annual Interest Rate, and Term.
- Enter Loan B Principal, Annual Interest Rate, and Term.
- Select Calculate to see each loan's monthly payment, total paid, total interest, and which one costs less overall.
Related Calculations
For a single loan's full year-by-year breakdown, use the Amortization Schedule Calculator, or account for fees with the APR Calculator.
Financial Fundamentals of Comparative Loan Analysis
A loan comparison calculator allows borrowers, real estate investors, and corporate treasurers to evaluate competing financing proposals side-by-side. By analyzing principal loan amounts, annual nominal interest rates, amortization schedules, loan terms, and upfront closing fees, borrowers can identify the total lifetime interest cost, true annual percentage rate (APR), and monthly cash-flow obligations of each credit offer.
The Standard Amortizing Loan Payment Formula
For fixed-rate amortizing loans, monthly principal and interest payments are governed by the annuity formula:
Where P is the principal loan amount, r is the periodic monthly interest rate (Annual Rate / 12), and n is the total number of monthly payments (Years × 12).
Key Trade-offs in Loan Structuring
- Short-Term vs. Long-Term Mortgages (15-Year vs. 30-Year): A 15-year fixed loan requires higher monthly payments but dramatically reduces cumulative lifetime interest paid — often saving over 60% in total interest compared to a 30-year term.
- Fixed-Rate vs. Adjustable-Rate Mortgages (ARM): Fixed loans provide payment stability across the entire term; ARMs offer lower initial teaser rates for 5 or 7 years (e.g., 5/1 ARM or 7/1 ARM) but expose the borrower to interest rate risk upon subsequent rate adjustments.
- Discount Points and Upfront Fees: Paying discount points (1 point = 1% of loan amount) lowers the ongoing interest rate; borrowers must calculate the break-even period (Upfront Cost / Monthly Savings) to determine if they will hold the loan long enough to recoup point costs.
Step-by-Step Worked Calculation Example
Example: Comparing a 15-Year vs. 30-Year Fixed Residential Mortgage
Problem: A homebuyer is financing a $400,000 residential mortgage and compares two options: Option A (30-year fixed at 6.50% annual interest) vs. Option B (15-year fixed at 5.75% annual interest). Calculate: (1) Monthly payments for both options; (2) Total lifetime payments; and (3) Total interest savings achieved with the 15-year term.
Step 1: Calculate Option A (30-Year at 6.50%, n = 360, r = 0.065/12 = 0.0054167):
PMTA = $400,000 × [ 0.0054167 × (1.0054167)360 ] / [ (1.0054167)360 - 1 ] = $2,528.27 / month
Total PaymentsA = $2,528.27 × 360 = $910,177.20 (Total Interest: $510,177.20)
Step 2: Calculate Option B (15-Year at 5.75%, n = 180, r = 0.0575/12 = 0.0047917):
PMTB = $400,000 × [ 0.0047917 × (1.0047917)180 ] / [ (1.0047917)180 - 1 ] = $3,322.25 / month
Total PaymentsB = $3,322.25 × 180 = $598,005.00 (Total Interest: $198,005.00)
Step 3: Compare Monthly Cash Flow vs. Total Interest Saved:
Monthly Payment Difference = $3,322.25 - $2,528.27 = +$793.98 / month for Option B
Total Interest Savings = $510,177.20 - $198,005.00 = $312,172.20 saved
Conclusion: Choosing Option B requires an additional $793.98/month in cash flow but saves $312,172.20 in interest and eliminates debt 15 years earlier.
Common Mistakes in Loan Comparisons
- Focusing Exclusively on Monthly Payment Size: Extending a loan from 48 to 72 months lowers monthly payments but substantially increases total interest paid and leaves the borrower underwater on collateral value.
- Overlooking Balloon Payments and Prepayment Penalties: Always review contract terms for commercial balloon notes and early payoff penalty clauses.
Commercial Debt Service Coverage Ratio (DSCR) and Underwriting
In commercial real estate and corporate credit underwriting, commercial lenders evaluate loan viability using the Debt Service Coverage Ratio (DSCR):
A DSCR of 1.25x or higher indicates that property income generates a 25% cash-flow cushion above mandatory loan principal and interest payments. When comparing commercial financing terms, borrowers evaluate how differing interest rates and amortization periods impact compliance with loan covenant DSCR minimums.
Prepayment Penalty Structures: Yield Maintenance vs. Defeasance
Commercial loans frequently contain strict prepayment restrictions to protect lender yields:
- Yield Maintenance: A penalty fee that allows the lender to attain the exact same yield as if the borrower had made all scheduled interest payments through maturity, calculated based on the differential between the contract interest rate and current US Treasury yields.
- Defeasance: The borrower substitutes the mortgaged real estate collateral with a pledged portfolio of US Treasury bonds whose coupon cash flows exactly match remaining scheduled debt service payments.
Bi-Weekly Payment Amortization Schedules
Borrowers can significantly accelerate loan payoff by making half of their regular monthly mortgage payment every two weeks (bi-weekly schedule). Because there are 52 weeks in a calendar year, a bi-weekly borrower makes 26 half-payments — equivalent to 13 full monthly payments annually. This extra annual monthly payment directly reduces loan principal, shaving 4 to 6 years off a standard 30-year mortgage and saving tens of thousands of dollars in interest without changing lifestyle budgets.
Bridge Loans and Interim Construction Financing
Commercial developers utilize short-term bridge loans (typically 6 to 24 months with interest-only structures) to finance property acquisitions or capital renovations before securing permanent long-term agency take-out financing.
Automated Underwriting System (AUS) Approvals
Fannie Mae Desktop Underwriter (DU) and Freddie Mac Loan Product Advisor (LPA) evaluate credit scores, debt ratios, and loan-to-value metrics simultaneously to issue automated loan eligibility recommendations.