Discount Point Calculator

Determine the break-even point for buying mortgage discount points.

Calculate Your Break-Even

What is a Discount Point Calculator?

A discount point calculator is a financial tool used primarily in the context of mortgages. It helps borrowers determine whether it’s financially beneficial to pay “discount points” upfront to a lender in exchange for a lower interest rate on their loan. Discount points are essentially a form of prepaid interest, with one point typically costing 1% of the total loan amount.

This calculator helps you find the “break-even point” – the time it takes for the savings from the reduced monthly payments (due to the lower interest rate) to offset the initial cost of the points. If you plan to keep the mortgage longer than the break-even period, buying points might save you money over the life of the loan or the period you hold it.

Who should use a discount point calculator?

• Homebuyers considering whether to pay points on a new mortgage.
• Homeowners looking to refinance and deciding if points are a good deal.
• Anyone wanting to understand the trade-off between upfront costs and lower monthly payments on a loan.

Common Misconceptions

A common misconception is that buying points always saves money. This is only true if you keep the loan long enough to reach and surpass the break-even point. If you sell the home or refinance before that point, you might lose money on the points purchased. Our discount point calculator helps clarify this.

Discount Point Calculator Formula and Mathematical Explanation

The discount point calculator uses several steps to arrive at the break-even point:

1. Calculate the Total Cost of Points:
   Total Points Cost = Loan Amount * (Cost per Point / 100) * Number of Points
2. Calculate Monthly Mortgage Payment:
   The formula for the monthly payment (M) is:
   M = P * [r(1+r)^n] / [(1+r)^n - 1]
   Where:
   • P = Principal loan amount
   • r = Monthly interest rate (annual rate / 12 / 100)
   • n = Total number of payments (loan term in years * 12)

   This is calculated twice: once for the rate without points and once for the rate with points.

3. Calculate Monthly Savings:
   Monthly Savings = Monthly Payment (No Points) - Monthly Payment (With Points)
4. Calculate Break-Even Point:
   Break-Even Point (in months) = Total Points Cost / Monthly Savings
   The result is often converted to years and months for easier understanding.

Variables Table

Variable	Meaning	Unit	Typical Range
Loan Amount	The total amount borrowed.	$	50,000 – 1,000,000+
Interest Rate w/o Points	The base annual interest rate offered.	%	2 – 10+
Interest Rate w/ Points	The reduced annual rate after buying points.	%	Slightly lower than w/o points
Cost per Point	The percentage of the loan amount one point costs.	%	0.5 – 1.5 (often 1)
Number of Points	How many points are being purchased.	Number	0 – 4
Loan Term	The duration of the mortgage.	Years	10, 15, 20, 30
Keep Mortgage Time	How long you expect to have the mortgage.	Years	1 – 30

Practical Examples (Real-World Use Cases)

Example 1: Staying Long-Term

Sarah is buying a house with a $400,000 loan for 30 years. Her lender offers a 6.5% rate with no points, or 6.25% if she buys 1 point (costing 1% of the loan). She plans to stay in the house for at least 10 years.

• Loan Amount: $400,000
• Rate without Points: 6.5%
• Rate with Points: 6.25%
• Cost per Point: 1%
• Number of Points: 1
• Loan Term: 30 years
• Time to Keep Mortgage: 10 years

Using the discount point calculator:

• Cost of Points: $400,000 * 0.01 * 1 = $4,000
• Monthly Payment (6.5%): $2,528.27
• Monthly Payment (6.25%): $2,462.33
• Monthly Savings: $65.94
• Break-Even: $4,000 / $65.94 ≈ 60.6 months (about 5 years)

Since Sarah plans to stay for 10 years, which is longer than the 5-year break-even, buying the point is likely a good financial move for her.

Example 2: Short-Term Horizon

David is taking a $250,000 loan for 30 years. He can get 7.0% with no points or 6.8% with 0.5 points (each costing 1%). He thinks he might move or refinance in 3 years.

• Loan Amount: $250,000
• Rate without Points: 7.0%
• Rate with Points: 6.8%
• Cost per Point: 1%
• Number of Points: 0.5
• Loan Term: 30 years
• Time to Keep Mortgage: 3 years

Using the discount point calculator:

• Cost of Points: $250,000 * 0.01 * 0.5 = $1,250
• Monthly Payment (7.0%): $1,663.26
• Monthly Payment (6.8%): $1,630.01
• Monthly Savings: $33.25
• Break-Even: $1,250 / $33.25 ≈ 37.6 months (just over 3 years)

David’s break-even is slightly over 3 years. Since he might move around that time, the benefit is marginal, and he might be better off keeping the cash upfront, especially considering closing costs if he refinances soon.

How to Use This Discount Point Calculator

1. Enter Loan Amount: Input the total amount you are borrowing.
2. Enter Interest Rates: Provide the interest rate offered without points and the lower rate offered with points.
3. Specify Point Costs: Enter the cost of one point (as a percentage of the loan) and the number of points you are considering buying.
4. Input Loan Term: Enter the total duration of the mortgage in years (e.g., 30, 15).
5. Estimate Holding Period: Enter how many years you realistically expect to keep this mortgage before selling or refinancing.
6. Review Results: The discount point calculator will instantly show the total cost of points, monthly payments with and without points, monthly savings, the break-even point in months and years, and total savings over your estimated holding period.
7. Analyze Table and Chart: The table and chart visualize how savings accumulate over time compared to the upfront cost, helping you see when you start benefiting.

The key result is the “Break-Even Point”. If you plan to keep the mortgage longer than this period, buying points could save you money. If you plan to sell or refinance before this point, you might not recoup the cost of the points.

Key Factors That Affect Discount Point Results

• Loan Amount: A larger loan amount means each point costs more, but the potential monthly savings from a rate reduction are also larger.
• Interest Rate Difference: The larger the difference between the rate with and without points, the quicker the break-even point is reached.
• Cost per Point: While often 1%, if the cost per point is lower, the break-even is faster; if higher, it takes longer.
• Number of Points: More points mean a higher upfront cost and a lower rate, affecting the break-even calculation significantly.
• Time Horizon: How long you plan to keep the mortgage is crucial. The longer you stay, the more likely points are to pay off. Our mortgage term calculator can help explore different terms.
• Refinancing Plans: If you anticipate refinancing soon, paying points now might not be wise, as you’d effectively reset the clock on your break-even.
• Cash on Hand: Do you have the extra cash for points at closing without straining your finances?
• Tax Deductibility: In some cases, points may be tax-deductible, which can slightly reduce the net cost and shorten the break-even, but consult a tax advisor. Our tax savings calculator might be useful.

Using a discount point calculator helps balance these factors.

Frequently Asked Questions (FAQ)

1. What are discount points?

Discount points are fees paid directly to the lender at closing in exchange for a reduced interest rate. One point typically costs 1% of your loan amount.

2. How many discount points can I buy?

Lenders usually limit the number of points you can buy, often up to 3 or 4, but it varies. The rate reduction per point also diminishes as you buy more points.

3. Are discount points the same as origination fees?

No. Origination fees are charges for processing the loan application and are generally separate from discount points, although both are closing costs. Discount points are specifically for lowering the rate.

4. Are discount points tax-deductible?

In many cases, yes, discount points paid on a mortgage for your primary residence can be tax-deductible. However, the rules can be complex, and deductibility might be spread over the life of the loan or taken in the year paid depending on circumstances. Consult a tax professional. Check our mortgage tax deduction guide.

5. When is it a good idea to pay for discount points?

It’s generally a good idea if you plan to keep the mortgage for significantly longer than the break-even period calculated by the discount point calculator and you have the cash available for the upfront cost without financial strain.

6. When should I avoid paying for discount points?

Avoid paying points if you expect to sell the home or refinance the mortgage before reaching the break-even point, or if you are short on cash for closing costs.

7. Does the discount point calculator consider closing costs other than points?

This calculator focuses specifically on the cost of discount points versus the savings from the lower rate. Other closing costs are separate and should be considered in your overall home buying or refinancing decision. See our closing cost estimator.

8. What if interest rates drop and I want to refinance before my break-even point?

If you refinance before the break-even point, you likely won’t recoup the full cost of the points you paid on the original loan. This is a risk of paying points.