Can I model escrow items (tax/insurance) and PMI?

Yes. Add monthly property tax and insurance; the tool spreads them across your payment frequency and includes PMI until LTV ≤ 80%.

Does this support solving for loan amount, term, or APR?

Yes. Pick a quantity to solve for and, when needed, enter a target payment.

Yes. Add one or more APR adjustments by period; optionally recast the payment at each reset.

Loan Amortization Schedule Calculator

Build a complete amortization schedule with extras, charts, yearly summary, escrow & PMI, and ARM resets. Solve for payment, loan amount, term, or APR and export/print your results.

Interface mode

Currency *

Loan amount *

Annual interest rate (APR) % *

Loan term *

Payment frequency *

Monthly Biweekly Weekly

Start date *

Solve for

Quantity

Housing costs (optional)

Property tax (monthly)

Insurance (monthly)

Home value

PMI rate (annual %)

ARM adjustments (optional)

Reset at period #1

New APR %

Recast at reset

Reset at period #2

New APR %

Recast at reset

Reset at period #3

New APR %

Recast at reset

Extra payments (optional)

Recurring extra per period

One-time extra

Apply one-time extra at payment #

Rounding mode

Early payoff helper

Pay off in N periods

…or by date

Results

Periodic payment

—

Total payments

—

Total interest

—

Total paid (loan)

—

Payoff date

—

Interest saved (extras)

—

All-in payment*

—

All-in total*

—

View:

Charts

Amortization schedule

Rows/page

Each row shows the allocation of a payment between interest and principal, extras, PMI/escrow, and the remaining balance.
#	Date	Payment	Interest	Principal	Extra	PMI	Escrow	All-in	Balance

Loan comparison (up to 3)

Offer A

Amount

APR %

Term

Frequency

Offer B

Amount

APR %

Term

Frequency

Offer C

Amount

APR %

Term

Frequency

Summary comparison (loan-only; extras, PMI, escrow not included here).
Offer	Payment	Total interest	Total paid	Payoff date (est.)	# Payments

Data Source and Methodology

Authoritative reference: OpenStax, "Algebra and Trigonometry", Section 3.7 Financial Formulas (Amortization), 2016. Direct link: https://openstax.org/details/books/algebra-and-trigonometry

All calculations strictly follow the standard fixed-rate amortization model. ARM resets update APR at specified periods; if “Recast” is enabled, the payment is recomputed on the remaining balance and periods.

The Formula Explained

$$ P = \dfrac{L\,r}{1 - (1+r)^{-n}} $$ where: $$ r = \dfrac{\text{APR}}{m}, \quad n = \text{term}\times m $$ Recurrence for each period k: $$ \text{Interest}_k = B_{k-1}\,r $$ $$ \text{Principal}_k = P - \text{Interest}_k $$ $$ B_k = B_{k-1} - \text{Principal}_k - \text{Extra}_k $$ Special case when APR = 0: $$ P = \dfrac{L}{n}, \quad \text{Interest}_k = 0, \quad B_k = B_{k-1} - P - \text{Extra}_k $$

Frequently Asked Questions (FAQ)

Do extra payments reduce my required payment?

No. Required payment stays fixed unless you choose to recast (only at ARM resets when selected). Extras shorten the term and lower total interest.

How are escrow and PMI handled?

Escrow (tax + insurance) is allocated per period based on your payment frequency. PMI is computed each period from the current balance and removed once LTV ≤ 80%.

What does “All-in payment” include?

Loan payment + extra principal (if recurring) + PMI (if applicable) + escrow per period.

Tool developed by Ugo Candido. Content verified by CalcDomain Editorial Team.
Last reviewed for accuracy on: September 12, 2025.