Fixed vs Adjustable-Rate Mortgage Calculator

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Understanding Fixed and Adjustable Mortgages

Fixed-rate mortgages lock in one interest rate for the entire repayment term. Adjustable-rate mortgages (ARMs) start with a lower introductory rate that later resets based on market conditions. Choosing between these loan types is a common dilemma for homebuyers seeking the best balance of affordability and long-term certainty. This calculator estimates monthly payments and total interest for both options, revealing which may cost less over the life of the loan. It assumes the ARM adjusts to a user-specified rate after the introductory period and keeps that rate for the remaining term, a simplification that helps model potential outcomes while staying entirely client-side.

Loan Amortization Basics

Both mortgage types rely on the standard amortization formula. The monthly payment PMT=Pr1-1+r-n uses principal P, periodic rate r, and number of payments n. The rate changes in an ARM after the fixed period, resulting in a new payment calculation for the remaining balance. By contrast, a fixed-rate loan maintains the same payment and rate throughout, making budgeting straightforward.

Comparing Interest Costs

To compare options, we determine total interest paid. For a fixed loan this is simply I=PMTn-P. For an ARM the computation requires two stages. During the introductory period, the payment is based on the initial rate over the full term. After the fixed period, the remaining balance becomes the new principal and is amortized at the adjusted rate. The sum of interest from both stages forms the overall cost. This model captures the key dynamics that differentiate ARMs from fixed loans.

Rate Adjustment Mechanics

Real-world ARMs often tie their adjustments to an index plus a margin and can change every year after the initial fixed phase. Caps limit how much the rate may rise. Our calculator simplifies this by letting you specify an expected adjusted rate that persists for the remaining term. This rate could reflect the worst-case cap, a forecast of future rates, or an average you wish to test. The adjustable-rate formula for remaining balance B=P1+rn-PMT1+rn-1r calculates the principal after the introductory period, ensuring the subsequent payment computation reflects the remaining loan correctly.

Illustrative Table of Features

FeatureFixed MortgageAdjustable Mortgage
Initial RateConstantTypically lower
Rate ChangesNeverAfter fixed period
Payment StabilityHighVariable
Interest RiskBorne by lenderBorne by borrower

Extended Example Scenario

Suppose you are purchasing a $400,000 home with a $80,000 down payment, yielding a $320,000 mortgage. A fixed-rate loan charges 6% for 30 years. An ARM offers 4% for the first 5 years, then adjusts to 7%. Plugging these values into the calculator shows the fixed mortgage has a monthly payment of $1,918.56 and total interest of $371,000. The ARM begins with a $1,527.19 payment. After five years the balance drops to $289,000, the rate shifts to 7%, and the payment increases to $1,924.02. Over 30 years the ARM accrues approximately $386,000 in interest, slightly more than the fixed option despite the cheaper introductory period.

Interpreting the Output

The results display monthly payments for both mortgage types and total interest costs. The cheaper option is labeled. A lower initial rate does not guarantee long-term savings; rising rates can erase early advantages. Use this tool to test various adjustment scenarios, including best and worst cases. If your expected time in the home is short, a low introductory rate may still reduce costs even if the ARM becomes expensive later. Conversely, a fixed rate offers peace of mind if you plan to stay for decades or believe rates will climb.

Risk and Break-Even Considerations

ARMs shift interest-rate risk to the borrower. If market rates fall, your payments could decrease, but if they spike, affordability may suffer. Many borrowers analyze a break-even horizon: the number of years an ARM remains cheaper than a fixed loan. A simple approach is to compare cumulative payments year by year. The first year cost difference \Delta C_1=PMT_F-PMT_A can be extended across periods until adjusted rates negate the initial savings. This break-even point helps clarify whether the risk is worthwhile.

Using the Calculator Effectively

Enter realistic estimates for future ARM rates. Review your lender's margin and caps to bound plausible outcomes. Experiment with different home prices and down payments to see how principal affects the comparison. Remember that closing costs, refinancing possibilities, and personal risk tolerance also influence the decision beyond the interest totals produced here. By modeling multiple scenarios you can better gauge whether a fixed or adjustable mortgage aligns with your financial plan.

Limitations of This Model

The calculator assumes a single adjustment and constant rates thereafter, omitting periodic adjustments, lifetime caps, and index volatility that real ARMs entail. It ignores mortgage insurance, taxes, refinancing costs, and the time value of money when comparing total interest. Still, it captures the core mechanics guiding most fixed versus ARM decisions and offers a transparent, client-side tool for preliminary analysis without storing user data or relying on external libraries.

Why Interest Cost Matters

Total interest reflects how much extra you pay beyond the borrowed principal. The compounding equation FV=PV(1+r)n shows how rate changes magnify over time. Even small rate differences can yield tens of thousands in additional interest on large mortgages. An ARM can be advantageous if you redirect early savings toward principal prepayments or investments, but it carries the danger of payment shock. Fixed loans lack flexibility yet offer certainty, a trait many homeowners value more than potential savings.

Example Output Table

MetricFixed LoanARM
Monthly Payment Initial$1,918.56$1,527.19
Monthly Payment After Reset$1,918.56$1,924.02
Total Interest$371,000$386,000
Cheaper OptionFixed loan by $15,000

Further Exploration

Use the copy button to save the comparison text. Share scenarios with lenders or financial advisors for deeper insights. You can also simulate prepayments by manually reducing the principal and rerunning the calculation. Ultimately, the choice between fixed and adjustable mortgages hinges on your time horizon, risk tolerance, and expectations about future interest rates. This tool provides a starting point for that evaluation while preserving user privacy and operating entirely in your browser.

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