¢ CentCalc

Mortgage Calculator

Calculate monthly mortgage payments, total interest, and amortization schedule.

Down payment: $80,000

Monthly Payment

$2,023

Loan: $320,000 · Total paid: $728,142

Total Interest

$408,142

Total Paid

$728,142

Interest Ratio

56.1%

Amortization Schedule

YearPrincipalInterestBalance
1$3,577$20,695$316,423
2$3,816$20,455$312,607
3$4,072$20,200$308,535
4$4,345$19,927$304,191
5$4,636$19,636$299,555
6$4,946$19,325$294,609
7$5,277$18,994$289,332
8$5,631$18,641$283,701
9$6,008$18,264$277,694
10$6,410$17,861$271,284
11$6,839$17,432$264,444
12$7,297$16,974$257,147
13$7,786$16,485$249,361
14$8,308$15,964$241,053
15$8,864$15,407$232,189
16$9,458$14,814$222,732
17$10,091$14,180$212,641
18$10,767$13,505$201,874
19$11,488$12,784$190,386
20$12,257$12,014$178,129
21$13,078$11,193$165,051
22$13,954$10,317$151,097
23$14,888$9,383$136,208
24$15,886$8,386$120,323
25$16,949$7,322$103,373
26$18,085$6,187$85,289
27$19,296$4,976$65,993
28$20,588$3,683$45,405
29$21,967$2,305$23,438
30$23,438$833$0

How This Is Calculated

This mortgage calculator uses the standard fixed-rate amortization formula to determine your monthly payment and total cost over the life of the loan.

Monthly payment formula: M = P × [r(1+r)^n] / [(1+r)^n − 1], where P is the loan principal (home price minus down payment), r is the monthly interest rate (annual rate ÷ 12), and n is the total number of payments (years × 12).

This calculator assumes a fixed-rate loan with no PMI, property tax, or insurance. The amortization schedule shows how each payment is split between principal and interest, demonstrating how more of your payment goes toward principal over time.

Standard amortization formula: M = P × [r(1+r)^n] / [(1+r)^n − 1]. Assumes fixed-rate loan, no PMI, taxes, or insurance.

Frequently Asked Questions

How is the monthly mortgage payment calculated?

The monthly payment uses the standard amortization formula: M = P × [r(1+r)^n] / [(1+r)^n − 1], where P is the loan principal, r is the monthly interest rate (annual rate / 12), and n is the total number of payments (years × 12).

Does this include property tax and insurance?

No, this calculator shows principal and interest only. Property tax, homeowners insurance, and PMI are not included. A typical rule of thumb is to add 25-30% to the principal+interest payment to estimate total monthly housing costs.

What is amortization?

Amortization is the process of paying off a loan over time through scheduled payments. In the early years, most of each payment goes toward interest. Over time, the proportion shifts — more goes toward principal, less toward interest.

Should I choose a 15-year or 30-year mortgage?

A 15-year mortgage has higher monthly payments but significantly less total interest. A 30-year mortgage offers lower monthly payments but costs much more in total interest. Choose based on your cash flow, other financial goals, and risk tolerance.

How much does a 1% change in interest rate affect my payment?

For a $400,000 loan over 30 years, each 1% change in rate affects the monthly payment by roughly $250-$300. Over the life of the loan, that 1% difference can cost over $95,000 in additional interest.

⚠️ Estimates only. Actual mortgage costs may include PMI, property tax, insurance, and HOA fees. Consult a lender for precise figures.