How to use the target mortgage penalty calculator
Prepare the values for this calculation
Solve the maximum loan and approximate home price supported by a target principal-and-interest payment. Use the formula below to check that it answers your question. Read the input units before transferring figures from a statement, measurement or dataset.
Enter and check each input
- Target principal-and-interest payment: enter a value at least 0. Use the unit named in the label or selected above. Do not leave this required field blank.
- Annual rate (%): enter a value at least 0 and no more than 100. Use the unit named in the label or selected above. Do not leave this required field blank.
- Term (years): enter a value at least 0.01 and no more than 50. Use the unit named in the label or selected above. Do not leave this required field blank.
- Down payment (%): enter a value at least 0 and no more than 99.9. Use the unit named in the label or selected above. Do not leave this required field blank.
The input table gives a complete example. Keep units and time periods consistent across related fields.
Calculate and resolve any input error
Choose Calculate after entering the values. Changes also update the answer after a short pause. If an error appears, follow its message, correct the field and calculate again. Reset restores the example values.
Interpret the answer
Check Mortgage result first. With the unchanged example inputs, it is $395,527.05. Compare the additional metrics with the primary result; each has its own label and unit.
Compare and keep a useful result
For a controlled comparison, keep every other example input unchanged and change Target principal-and-interest payment from 2000 to 2200. The resulting Mortgage result is $435,079.75. This illustrates the equation’s response to that input, rather than a forecast of real events.
Read the chart’s axis labels and data table. A scenario curve changes one stated input while holding the others fixed; it does not add external observations. Use Download graph to save an available chart as a PNG.
Use Copy result or Download CSV to keep the answer. Share tool shares the page address without placing your input values in the URL. Recheck inputs and assumptions before using the result for a decision.
Target Mortgage Penalty Calculator formula
The fixed-payment mortgage formula is algebraically inverted to solve principal from payment, rate and term; home price then accounts for down-payment percentage.
Inputs and units
| Input | Format / range | Example |
|---|---|---|
| Target principal-and-interest payment | minimum 0 | 2000 |
| Annual rate (%) | minimum 0; maximum 100 | 6.5 |
| Term (years) | minimum 0.01; maximum 50 | 30 |
| Down payment (%) | minimum 0; maximum 99.9 | 20 |
Worked example
Using the example inputs above, the mortgage result is $395,527.05.
- Mortgage result
- $395,527.05
- Supported loan principal
- $316,421.64
- Target monthly P&I
- $2,000.00
- Down payment
- $79,105.41
Results and assumptions
The output uses the mortgage result convention and formula shown above. Match the entered units and source assumptions when comparing results.
Rates, fees and tax assumptions are entered values. This calculation does not quote a lender, determine a tax liability or guarantee an investment return.
Fix an input or unexpected result
Target principal-and-interest payment is required. Enter target principal-and-interest payment using the format and bounds in the input table. Zero and an empty field are different: use zero only if it is allowed and represents your data.
If your answer differs from the example, choose Reset and compare every field, including selected units and options. Check percentage versus decimal entry and whether values describe the same period. Round only the final displayed answer when reproducing the formula.
If a discrepancy remains, report the calculator issue with the page address, non-sensitive example inputs, actual result, expected result and a reference for your calculation.