Mortgage Points Calculator — Calculate Discount Points & Savings

Mortgage Points Calculator

Calculate mortgage discount points to lower your interest rate. Determine if buying points saves you money based on your loan amount, interest rate, and loan term.

Step 1: Loan Details

$300,000
4.5%

Mortgage Points Formula

1 Point = 1% of Loan Amount
Each point typically reduces interest rate by 0.25%
Break-even period = Points Cost / Monthly Savings

Step 2: Points & Options

1.00

Points Guidelines

• 0-1 points: Conservative approach
• 1-2 points: Common for long-term owners
• 2-3 points: Aggressive rate reduction
• 3+ points: Only for very long-term ownership
Consider break-even period before buying points

Mortgage Points Analysis

Summary
Points Comparison
Formula

Monthly Payment Savings

-$152
Break-even: 4.2 years • Total Savings: $36,480
Points Cost
$3,000
New Interest Rate
4.25%
Monthly Payment (With Points)
$1,475
Monthly Payment (Without Points)
$1,520

Points Comparison Table

Points Cost New Rate Monthly Payment Monthly Savings Break-even

Mortgage Points Formula

Points Cost = Loan Amount × Points × 0.01

Where:
• Points = Number of discount points (1 point = 1% of loan)
• New Interest Rate = Original Rate – (Points × Rate Reduction per Point)
• Monthly Savings = Payment(Original Rate) – Payment(New Rate)
• Break-even Period (months) = Points Cost ÷ Monthly Savings

Mortgage Payment Formula:
M = P × [r(1+r)^n] ÷ [(1+r)^n – 1]
Where P=Loan Amount, r=Monthly Rate, n=Total Payments

Example Calculation

Example: $300,000 Loan with 1 Point

Loan Amount: $300,000
Original Rate: 4.5%
Points: 1 (Cost: $3,000)
Rate Reduction: 0.25% per point
New Rate: 4.25%

Monthly Payment (Original): $1,520
Monthly Payment (With Points): $1,475
Monthly Savings: $45
Break-even: $3,000 ÷ $45 = 66.7 months (5.6 years)

Total Savings (30 years): $45 × 360 = $16,200

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