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Mortgage Calculator

Property Details
Payment Summary
Monthly Payment:$1,895.06
Loan Amount:$300,000.00
Down Payment:$60,000.00 (16.7%)
Total Interest:$382,220.13
Total Payments:$682,220.13
Amortization Schedule
YearPrincipal PaidInterest PaidRemaining Balance
1$4,839.68$13,400.99$295,160.32
2$5,062.01$13,178.66$290,098.31
3$5,294.56$12,946.11$284,803.74
4$5,537.79$12,702.88$279,265.95
5$5,792.20$12,448.47$273,473.75
6$6,058.29$12,182.38$267,415.46
7$6,336.61$11,904.06$261,078.85
8$6,627.71$11,612.96$254,451.14
9$6,932.19$11,308.48$247,518.95
10$7,250.65$10,990.02$240,268.30
11$7,583.74$10,656.93$232,684.56
12$7,932.14$10,308.53$224,752.42
13$8,296.54$9,944.13$216,455.88
14$8,677.68$9,562.99$207,778.20
15$9,076.33$9,164.34$198,701.86
16$9,493.30$8,747.37$189,208.57
17$9,929.42$8,311.25$179,279.15
18$10,385.57$7,855.10$168,893.57
19$10,862.69$7,377.98$158,030.89
20$11,361.72$6,878.95$146,669.17
21$11,883.67$6,357.00$134,785.50
22$12,429.61$5,811.07$122,355.89
23$13,000.62$5,240.05$109,355.27
24$13,597.87$4,642.81$95,757.41
25$14,222.55$4,018.12$81,534.86
26$14,875.93$3,364.74$66,658.93
27$15,559.33$2,681.34$51,099.60
28$16,274.12$1,966.55$34,825.48
29$17,021.75$1,218.92$17,803.73
30$17,803.73$436.94$0.00

Mortgage Calculator

Calculate your monthly mortgage payments with our comprehensive calculator. Input loan amount, interest rate, and term to get instant results including principal & interest, property taxes, and insurance.

Key Components of a Mortgage Payment

Your monthly mortgage payment typically consists of four main components, commonly known as PITI:

  1. Principal: The amount you borrowed
  2. Interest: The cost of borrowing money
  3. Property Taxes: Annual taxes assessed by local government
  4. Insurance: Homeowners insurance and possibly PMI

Mortgage Payment Formula

M=Pr(1+r)n(1+r)n1M = P \frac{r(1+r)^n}{(1+r)^n-1}

Where:

  • M = Monthly payment
  • P = Principal loan amount
  • r = Monthly interest rate (annual rate ÷ 12)
  • n = Total number of payments (years × 12)

Total Monthly Payment

The complete monthly payment including taxes and insurance:

Total Monthly Payment=M+Annual Property Tax12+Annual Insurance12+PMI\text{Total Monthly Payment} = M + \frac{\text{Annual Property Tax}}{12} + \frac{\text{Annual Insurance}}{12} + \text{PMI}

Amortization Schedule

The loan amortization shows how each payment is split between principal and interest:

Interest Payment

Interestn=Balancen1×r\text{Interest}_n = \text{Balance}_{n-1} \times r

Principal Payment

Principaln=MInterestn\text{Principal}_n = M - \text{Interest}_n

Remaining Balance

Balancen=Balancen1Principaln\text{Balance}_n = \text{Balance}_{n-1} - \text{Principal}_n

Loan-to-Value (LTV) Ratio

LTV is a key metric used by lenders:

LTV=Loan AmountProperty Value×100%\text{LTV} = \frac{\text{Loan Amount}}{\text{Property Value}} \times 100\%

Annual Percentage Rate (APR)

APR=((1+Finance ChargesP)1n1)×n\text{APR} = \left(\left(1 + \frac{\text{Finance Charges}}{P}\right)^{\frac{1}{n}} - 1\right) \times n

The APR includes both the interest rate and other costs:

Frequently Asked Questions

What's included in a mortgage payment?

The monthly payment typically includes:

  • Principal and interest (P&I)
  • Property taxes
  • Homeowners insurance
  • Private Mortgage Insurance (PMI) if down payment < 20%

How does down payment affect payments?

  • Larger down payments reduce:
    • Monthly payment amount
    • Total interest paid
    • Need for PMI
    • Interest rate (potentially)

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

Compare the key differences:

Feature15-Year30-Year
Monthly PaymentHigherLower
Interest RateLowerHigher
Total InterestMuch LessMore
Equity BuildingFasterSlower

What is PMI?

Private Mortgage Insurance (PMI) is required when:

  • Down payment is less than 20%
  • Typically costs 0.5% to 1% of loan annually
  • Can be removed when LTV reaches 78-80%

Tips for Lower Payments

  1. Improve credit score before applying
  2. Make larger down payment to reduce loan amount
  3. Shop multiple lenders for best rates
  4. Consider longer term for lower monthly payments
  5. Pay extra principal when possible to reduce total interest

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