Mortgage Points Calculator

Mortgage Points is evaluated from Loan Amount, Base Rate and Loan Term. The calculation reports Upfront Points Cost, Rate After Buydown and Monthly Payment Savings.

Results

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About the Mortgage Points Calculator

Mortgage Points is treated here as a quantitative relation between Loan Amount, Base Rate, Loan Term and Number of Points to Purchase and Upfront Points Cost, Rate After Buydown, Monthly Payment Savings and Break-Even Period.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
Points Cost = Loan Amount x Points / 100
Bought-Down Rate = Base Rate - (Points x Rate Reduction per Point)
Monthly Savings = Base Payment - Reduced Payment
Break-Even = Points Cost / Monthly Savings
Total Savings over Term = Monthly Savings x Months - Points Cost

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

Points Cost = Loan Amount x Points / 100
Bought-Down Rate = Base Rate - (Points x Rate Reduction per Point)
Monthly Savings = Base Payment - Reduced Payment
Break-Even = Points Cost / Monthly Savings
Total Savings over Term = Monthly Savings x Months - Points Cost

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: 1 Point on a 30-Year Mortgage

Inputs

loan_amount: 450000 base_rate: 7.25 loan_term_years: 30 points: 1 rate_reduction: 0.25
Upfront Points Cost: $4,500. Rate After Buydown: 7%. Monthly Payment Savings: $75.93. Break-Even Period: 59 months. Total Interest Savings: $22,836

With Loan Amount = 450,000, Base Rate = 7.25, Loan Term = 30 and Number of Points to Purchase = 1 as the stated inputs, the result is Upfront Points Cost = $4,500, Rate After Buydown = 7% and Monthly Payment Savings = $75.93. Each value corresponds to the declared output fields.

Example 2: 2 Points for Maximum Buydown

Inputs

loan_amount: 600000 base_rate: 7.5 loan_term_years: 30 points: 2 rate_reduction: 0.25
Upfront Points Cost: $12,000. Rate After Buydown: 7%. Monthly Payment Savings: $203.47. Break-Even Period: 59 months. Total Interest Savings: $61,250

With Loan Amount = 600,000, Base Rate = 7.5, Loan Term = 30 and Number of Points to Purchase = 2 as the stated inputs, the result is Upfront Points Cost = $12,000, Rate After Buydown = 7% and Monthly Payment Savings = $203.47. Each value corresponds to the declared output fields.

Example 3: Small Buydown — Starter Home

Inputs

loan_amount: 280000 base_rate: 7.125 loan_term_years: 30 points: 0.5 rate_reduction: 0.125
Upfront Points Cost: $1,400. Rate After Buydown: 7.063%. Monthly Payment Savings: $11.8. Break-Even Period: 119 months. Total Interest Savings: $2,847

With Loan Amount = 280,000, Base Rate = 7.125, Loan Term = 30 and Number of Points to Purchase = 0.5 as the stated inputs, the result is Upfront Points Cost = $1,400, Rate After Buydown = 7.063% and Monthly Payment Savings = $11.8. Each value corresponds to the declared output fields.

Example 4: High Points — Not Worth It for Movers

Inputs

loan_amount: 500000 base_rate: 7.375 loan_term_years: 30 points: 3 rate_reduction: 0.25
Upfront Points Cost: $15,000. Rate After Buydown: 6.625%. Monthly Payment Savings: $251.82. Break-Even Period: 60 months. Total Interest Savings: $75,656

With Loan Amount = 500,000, Base Rate = 7.375, Loan Term = 30 and Number of Points to Purchase = 3 as the stated inputs, the result is Upfront Points Cost = $15,000, Rate After Buydown = 6.625% and Monthly Payment Savings = $251.82. Each value corresponds to the declared output fields.

Common Use Cases

  • Decide whether to pay points to get a lower mortgage rate
  • Calculate the break-even period for buying discount points
  • Compare total cost over loan life with and without points