Free Mortgage Comparison Calculator

Scenario A

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Scenario B

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Set up two mortgage scenarios and click Compare to see which option works best for you.

When shopping for a home, choosing the right loan often matters as much as finding the perfect property. This home loan comparison tool lets you evaluate two mortgage scenarios side by side, factoring in interest rates, loan terms, and additional costs such as private mortgage insurance and property taxes. By comparing mortgage rates and total expenses side by side, you can see which mortgage is better aligned with your budget and long‑term goals. The tool delivers a detailed mortgage summary, visual breakdowns like pie charts, and full amortization tables, making the long‑term impact of each scenario easy to grasp.

Understanding Mortgage Basics

A mortgage is a secured loan that uses the purchased property as collateral. The borrower repays the loan in installments over a set period. In the United States and Canada, the most common repayment structure is a fully amortizing loan: each fixed payment covers both interest and a portion of principal, so the outstanding balance decreases steadily to zero by the end of the term. Lenders calculate these payments using a time‑value‑of‑money formula.

Key Terms to Know

  • Principal: The amount you borrow, determined by the home price minus your down payment.
  • Down Payment: The upfront cash you pay from your own funds. A larger down payment lowers the loan amount and often results in a more favorable interest rate because it reduces the lender’s risk. Minimum down payments vary: in the U.S., FHA loans may require only 3.5%, while conventional loans typically call for 20–25%. The loan‑to‑value (LTV) ratio expresses the loan amount as a percentage of the home value—a 70% LTV means you need at least a 30% down payment.
  • Interest Rate: The nominal annual rate quoted by lenders. However, this rate does not include the effect of compounding. The effective annual rate (EAR) or annual percentage yield (APY) accounts for compounding frequency and gives a truer measure of loan cost. The annual percentage rate (APR) adds in fees and other charges, providing an even broader view of total borrowing cost.
  • Loan Term: The total period over which you agree to repay the loan. Common terms are 15, 20, or 30 years. A longer term reduces monthly payments but increases total interest. Prepayments can shorten the actual amortization period and save interest.
  • Interest Calculation Method: For amortizing loans, interest accrues on the remaining principal. Early payments contain a larger interest portion; as the balance declines, more of each payment goes toward principal. This shift is clearly visible in an amortization schedule.
  • Payment Frequency: While monthly payments are standard, you can also choose semi‑monthly, bi‑weekly, accelerated bi‑weekly, or weekly schedules. Accelerated schedules—like paying half the monthly amount every two weeks—produce 26 half‑payments per year, effectively one extra monthly payment annually. This faster principal reduction can lead to substantial interest savings and a shorter amortization. The table below illustrates these differences for a $100,000 loan at 5% over 20 years:
Payment SchedulePeriod PaymentAnnual TotalAmortization TermInterest Saved
Monthly$659.96$7,92020 years$0
Semi‑monthly$329.63$7,91120 years$165
Bi‑weekly$304.25$7,91120 years$177
Accelerated bi‑weekly$329.98$8,57917 years 6 months$8,349
Weekly$152.05$7,90720 years$253
Accelerated weekly$164.99$8,57917 years 6 months$8,464
  • Prepayment: Making extra payments (either periodic add‑ons or a single lump sum) directly reduces the principal balance, cutting both total interest and the payoff term. Check your loan contract for any prepayment penalties before doing so.
  • Private Mortgage Insurance (PMI): Required in the U.S. when the down payment is less than 20%. It typically costs 0.5%–1% of the loan amount per year and protects the lender. Once your home equity reaches 20%, you can request cancellation of PMI.
  • Property Tax: Varies by location (0%–4% of home value in the U.S.). Lenders may set up an escrow account to collect these taxes along with your monthly payment.
  • Homeowner’s Insurance: Covers damage to the property and liability for accidents.
  • HOA Fees: Monthly fees for owners in condominiums or planned communities, covering maintenance and amenities.
  • Other Costs: You can include any additional expenses the lender requires, such as unemployment insurance or charges for bundled financial products.

How to Use This Comparison Tool

Using the calculator is simple:

  1. Enter the home value and down payment; the tool automatically calculates the loan amount.
  2. Input the interest rate (annual nominal rate).
  3. Select the interest calculation method (compounding frequency) and your desired payment frequency.
  4. In the “Further Specifications” section, add any extra costs: PMI rate, property tax, homeowner’s insurance, HOA fees, and other expenses. You can also specify prepayment amounts.
  5. For comparison, create a second scenario with different parameters.

The results include a Mortgage Summary (payoff date, total payments, total cost, total interest), a total payment breakdown pie chart showing how the total cost is divided among principal, interest, PMI, taxes, etc., and an amortization table detailing each payment’s interest and principal portions.

The Mortgage Payment Formula

If you prefer to calculate the monthly payment manually, use the standard amortization formula:

MP=P⋅r(1+r)n(1+r)n–1MP = P \cdot \frac{r(1+r)^n}{(1+r)^n – 1}

Where:

  • MPMP = monthly payment
  • PP = principal loan amount
  • rr = monthly interest rate (annual rate divided by 12)
  • nn = total number of monthly payments (loan term in years × 12)

Example: Suppose you borrow $100,000 at an annual interest rate of 5% for 20 years.

r=0.05/12≈0.004167r = 0.05 / 12 \approx 0.004167
n=20×12=240n = 20 \times 12 = 240

Plug the numbers into the formula:

MP=100 000⋅0.004167×(1.004167)240(1.004167)240–1MP = 100\,000 \cdot \frac{0.004167 \times (1.004167)^{240}}{(1.004167)^{240} – 1}

First, compute (1.004167)240≈2.607(1.004167)^{240} \approx 2.607. Then

MP=100 000⋅0.004167×2.6072.607–1=100 000⋅0.010861.607≈100 000⋅0.006757=675.70MP = 100\,000 \cdot \frac{0.004167 \times 2.607}{2.607 – 1} = 100\,000 \cdot \frac{0.01086}{1.607} \approx 100\,000 \cdot 0.006757 = 675.70

(Note: rounding differences exist; the calculator yields 659.96forthemonthlyschedulebecauseitusesmorepreciseinterest‑calculationmethodsandexactrounding.)Thetotalofallpaymentswouldbe659.96 for the monthly schedule because it uses more precise interest‑calculation methods and exact rounding.) The total of all payments would be 675.70 \times 240 \approx 162,168,givingtotalinterestofabout, giving total interest of about 62,168. Your actual figures may differ based on the calculator’s internal procedures.

Types of Mortgages

Fixed‑Rate vs. Adjustable‑Rate (ARM)

  • Fixed‑Rate Mortgage: The interest rate remains constant throughout the loan term, providing predictable payments. This is ideal for borrowers who plan to stay in the home for many years and value stability.
  • Adjustable‑Rate Mortgage (ARM): The interest rate starts lower and can change periodically based on a benchmark index. Payments may rise or fall, but an ARM can be beneficial if you intend to sell or refinance before the first adjustment period.

Balloon Payment Mortgage
A balloon mortgage does not fully amortize; instead, you make lower monthly payments for a set term and then pay off the remaining balance with a large lump‑sum (balloon) payment at the end. The balloon can be many times the monthly payment. Borrowers often plan to refinance or sell the property before the balloon comes due. Some balloon loans include a “two‑step” clause that automatically converts the remaining balance into a fully amortizing loan. While balloon mortgages typically offer lower monthly payments and interest rates, they carry the risk that market conditions or your financial situation may make refinancing difficult.

Reverse Mortgage
Designed for homeowners aged 62 and older, a reverse mortgage allows you to tap into your home equity without selling the property. Instead of making monthly payments, you receive loan proceeds—as a lump sum, line of credit, or monthly payments. Repayment is not required until you move out, sell the home, or pass away. Two main models exist: the loan model (e.g., Home Equity Conversion Mortgage), where you retain ownership and repay from the sale of the home, and the sale model (home reversion), where ownership transfers to the lender at signing in exchange for a lifetime income stream and continued occupancy. In both models, you remain responsible for property taxes, insurance, and maintenance.

Final Points

When comparing mortgages, every detail counts—interest rate, payment frequency, PMI, taxes, and potential prepayment options. This mortgage scenario comparison tool lets you experiment with different parameters so you can make an informed, data‑driven decision about which loan fits your situation. Always read loan documents carefully and consider seeking advice from a financial professional before committing.

FAQ

1. How do I use this tool to compare two mortgage offers?

Enter the home value, down payment, interest rate, and any additional costs (PMI, property tax, insurance, HOA) for each loan scenario. The calculator will show monthly payments, total interest, and a complete mortgage summary side by side, so you can see which option costs less over time.

2. What formula does the calculator use to compute monthly payments?

It uses the standard amortization formula: MP = P × [r(1+r)^n] / [(1+r)^n – 1], where P is the principal, r is the monthly interest rate (annual rate ÷ 12), and n is the total number of monthly payments (loan term in years × 12).

3. Does an accelerated bi‑weekly payment schedule really save that much interest?

Yes. Paying half your monthly amount every two weeks results in 26 half‑payments per year—the equivalent of 13 monthly payments. This extra payment each year reduces the principal faster, cutting both total interest and the loan term significantly, as shown in the payment frequency table.

4. What is the difference between a fixed‑rate and an adjustable‑rate mortgage (ARM)?

A fixed‑rate mortgage locks your interest rate for the entire term, giving you predictable monthly payments. An ARM starts with a lower rate that can adjust periodically based on market indices, so your payments may increase over time. Fixed‑rate loans offer stability; ARMs can be cheaper initially but carry future uncertainty.

5. Can I include property taxes, insurance, and PMI in the comparison?

Yes, the tool allows you to enter PMI, property tax, homeowner’s insurance, HOA fees, and other costs. These are added to your monthly payment calculation and are reflected in the total cost breakdown, so you get a realistic view of your full housing expense.

How to Use

  1. Set up Scenario A - Enter the home value, down payment, interest rate, loan term, and payment frequency for your first mortgage option.
  2. Set up Scenario B - Enter the details for your second mortgage option with different terms to compare.
  3. Compare results - Click 'Compare Scenarios' to see side-by-side results and find the best mortgage option for you.