Mortgage Strategy Engine

Master your amortization curve, visualize equity growth, and accelerate your payoff.

Loan Scenario
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$50k$2M
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1%15%
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Used in Lifetime View projections
Analysis beginning
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Title, appraisal, origination (~2–5%)
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Annual %
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$/year
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AUTO
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12 payments per year
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💡 Results update live. Switch to Monthly Snapshot or Schedule tabs to see impact.
Target Payoff Date
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Total Loan Amount
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Total Interest Paid
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Cash to Close
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Down Payment: $0
Closing Costs: $0

TOTAL MONTHLY $0

Principal $0.00
Interest $0.00
Property Tax $0.00
Home Insurance $0.00
HOA Fees $0.00
PMI $0.00
P&I: — + Tax: — + Ins: — = Total: —
P&I Payment
Monthly Escrow
Total PITI
Loan-to-Value
PMI Drops
20% Equity By
Total Cost Breakdown
Principal (Loan Amount)
Total Interest Paid
Interest is -- of total payments
Home Value (3% Growth)
Loan Balance
Equity
Monthly Yearly Summary
Period Interest Principal Extra Balance Equity

How does your monthly P&I change across rate & term combinations? Highlighted cell = your current scenario. Click any cell to apply it instantly.

Enter your loan details then return here.

Tap a cell to apply that scenario — Monthly Snapshot updates instantly.

Enter your potential refinance terms below to compare against your current loan.

%
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Break-Even Point
months to recover refinance closing costs
Calculate your loan above to see refinance analysis
📋 Current Loan
Monthly P&I

Total Interest
Payoff Date
Rate
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✨ Refinanced
Monthly P&I

Total Interest
Payoff Date
Rate

STRATEGY FRAMEWORK

01

Configure Loan Structure

Input your home price, down payment, and interest rate. Use the Loan Scenario tabs to toggle between basic structure and advanced escrow expenses.

02

Analyze Protection & Costs

The engine automatically calculates PMI, property taxes, and insurance. Review the Monthly Snapshot to see how these recurring costs impact your budget.

03

Project & Accelerate

Switch to Lifetime View to visualize equity growth. Activate the Payoff Strategy toggle to simulate how extra payments slash years off your mortgage.

EXPERT INSIGHTS

Why stack payments?

Your monthly payment isn't just one bill. It's a stack of obligations: Principal (your equity), Interest (bank's profit), and Escrow (Taxes/Insurance). Seeing them stacked helps you visualize where your money really goes.

What is the 'Equity Gap'?

The Equity Gap is the difference between what your home is worth (which usually grows) and what you owe (which shrinks). This gap represents your wealth. Accelerated payments widen this gap faster.

How much can one extra payment save?

Making just one extra payment per year can shave 4-5 years off a 30-year mortgage. It attacks the principal directly, preventing interest from compounding on that amount for decades.

How does a larger down payment impact my loan?

A larger down payment reduces your initial loan balance (principal). This results in lower monthly interest charges and can eliminate the need for Private Mortgage Insurance (PMI) if your down payment is at least 20% of the purchase price.

What is the difference between a 15-year and 30-year term?

A 15-year mortgage typically offers a lower interest rate but requires much higher monthly payments. A 30-year mortgage offers lower, more manageable monthly payments but will cost significantly more in total interest over the life of the loan.

When is PMI automatically cancelled?

By law, lenders must automatically cancel PMI when your loan-to-value (LTV) ratio reaches 78% of the original home value, provided you have stayed current on your payments. You can often request cancellation manually at 80% LTV.

What are typical closing costs?

Typical closing costs range from 2% to 5% of the total home purchase price. These include origination fees, appraisal costs, title insurance, and government recording fees. Our engine allows you to factor these into your Cash to Close calculation.

Is bi-weekly payment really better than monthly?

Yes. By making a half-payment every two weeks (26 times a year), you effectively make 13 full monthly payments in a 12-month period. This "extra" payment attacks the principal directly, potentially saving you tens of thousands in interest.

What is a mortgage payment?

A mortgage payment is the monthly amount you pay to your lender, consisting of principal (loan repayment) and interest. Most payments also include escrow for property taxes and homeowner's insurance, making PITI (Principal, Interest, Taxes, Insurance) the true monthly cost of homeownership.

Formula & Methodology

M = P × [ r(1 + r)n ] / [ (1 + r)n − 1 ]

Where:
M = Monthly principal & interest payment
P = Loan principal (home price minus down payment)
r = Monthly interest rate (annual rate ÷ 12)
n = Total number of payments (term in years × 12)

This is the standard amortization formula used by virtually every lender in the United States. Each monthly payment is split between interest on the remaining balance and principal reduction. Early in the loan, most of the payment goes toward interest. As the balance decreases, the interest portion shrinks and more goes to principal.

The calculator also factors in property taxes (typically 0.5%–2.5% of home value annually), homeowner's insurance, and Private Mortgage Insurance (PMI) when the down payment is below 20%. These are added to the base principal-and-interest figure to give a true total monthly cost.

Key Terms Explained

Principal
The original amount borrowed from the lender, equal to the home price minus your down payment. Each monthly payment reduces the principal balance.
Amortization
The process of paying off a loan through scheduled, equal monthly payments that cover both principal and interest over the loan term.
APR
Annual Percentage Rate. Reflects the true yearly cost of borrowing, including the interest rate plus lender fees and points, expressed as a percentage.
PMI
Private Mortgage Insurance. Required by lenders when your down payment is less than 20%. It protects the lender against default and is automatically cancelled at 78% LTV.
Escrow
An account held by your lender to pay property taxes and homeowner's insurance on your behalf. A portion of each monthly payment is deposited into this account.
LTV (Loan-to-Value)
The ratio of your loan amount to the home's appraised value, expressed as a percentage. An LTV of 80% means you borrowed 80% of the home's value.
Equity
The portion of the home you actually own. Calculated as the home's current market value minus your remaining loan balance. Grows as you pay down principal and as the home appreciates.

Real-World Examples

Example 1

A first-time homebuyer in Texas purchasing a $350,000 home with 10% down at a 6.5% interest rate on a 30-year fixed mortgage.

Home Price: $350,000 • Down Payment: $35,000 (10%) • Rate: 6.5% • Term: 30 years

Monthly P&I: $1,991 • Total Interest: $401,860

With PMI at roughly $131/month until reaching 20% equity, the true monthly cost starts around $2,122 plus taxes and insurance. The buyer will pay more than the home's price in interest alone over 30 years.

Example 2

A couple upgrading to a $550,000 home with 20% down and a 5.75% rate on a 15-year term, using proceeds from their previous home sale.

Home Price: $550,000 • Down Payment: $110,000 (20%) • Rate: 5.75% • Term: 15 years

Monthly P&I: $3,659 • Total Interest: $218,660

No PMI is required with 20% down. Despite higher monthly payments compared to a 30-year term, the couple saves over $300,000 in total interest and builds equity far faster.

Example 3

An investor buying a $425,000 rental property with 25% down at 7.0% on a 30-year loan, making one extra payment per year.

Home Price: $425,000 • Down Payment: $106,250 (25%) • Rate: 7.0% • Term: 30 years • Extra: 1 payment/year

Monthly P&I: $2,120 • Payoff: ~25 years • Interest Saved: ~$72,000

One extra annual payment shaves roughly 5 years off the mortgage and saves over $72,000 in interest. The investor reaches full ownership faster, maximizing rental income returns.

Quick Comparison

See how different rates and terms affect a $400,000 home with 20% down ($320,000 loan).

Scenario Monthly P&I Total Interest Total Cost
30-yr @ 6.0% $1,919 $370,680 $690,680
30-yr @ 7.0% $2,129 $446,440 $766,440
15-yr @ 5.5% $2,615 $150,700 $470,700
15-yr @ 6.5% $2,788 $181,840 $501,840

How to Calculate Your Monthly Mortgage Payment

Understanding your mortgage payment is one of the most important financial skills for any homebuyer. A mortgage payment is not a single number but a combination of several components, each affecting your long-term financial health differently.

Breaking Down the Payment Components

Your total monthly housing payment typically includes four parts, often called PITI: Principal, Interest, Taxes, and Insurance. The principal portion reduces your loan balance and builds equity. The interest portion is the lender's charge for borrowing. Property taxes fund local services and schools, while homeowner's insurance protects against damage or loss. If your down payment is below 20%, Private Mortgage Insurance adds a fifth component until you reach sufficient equity.

How Interest Rates Affect Total Cost

Even small differences in interest rates have enormous effects over a 30-year term. On a $400,000 loan, the difference between 6.0% and 7.0% is approximately $210 per month, or $75,760 in total interest over the life of the loan. This is why rate shopping across multiple lenders before locking in can save tens of thousands of dollars. Points, which are upfront fees paid to reduce the rate, can make sense if you plan to stay in the home long enough for the monthly savings to exceed the upfront cost.

15-Year vs 30-Year: Choosing the Right Term

A 15-year mortgage builds equity roughly three times faster than a 30-year loan and typically comes with a lower interest rate. However, the monthly payment is significantly higher. The right choice depends on your cash flow, other financial goals, and risk tolerance. Many financial advisors suggest taking the 30-year term but making extra payments when possible, giving you flexibility during tight months while still accelerating your payoff when cash allows.

The Power of Extra Payments

Making even one extra payment per year toward principal can shave 4–5 years off a 30-year mortgage. Bi-weekly payment plans achieve this automatically by splitting your monthly payment in half and paying every two weeks, resulting in 26 half-payments (13 full payments) annually. Use the Payoff Strategy toggle in our calculator to see exactly how extra payments affect your specific scenario, including the total interest saved and the new payoff date.

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