This calculator estimates the monthly principal-and-interest payment and total interest for a 30-year refinance loan using the loan amount and annual interest rate you enter. It does not provide a live Los Angeles rate: check a lender’s current written quote and enter that rate to see the arithmetic.
Formula
For a fixed-rate loan with equal monthly payments, the payment is M = P × r / [1 − (1 + r)−n], rounded to the nearest cent. Here, M is monthly principal and interest in dollars, P is the new loan amount in dollars, r is the monthly interest rate as a decimal, and n is the number of monthly payments. Convert an annual percentage rate to a monthly rate by dividing the percentage by 1,200; convert the term in years to months by multiplying by 12. Total interest in this estimate is M × n − P, using the rounded monthly payment.
Worked Example
Using the calculator’s defaults: loan amount P = $650,000, annual rate = 6.5%, and term = 30 years.
- Monthly rate: r = 6.5 / 1,200 = 0.005416667.
- Number of payments: n = 30 × 12 = 360.
- Payment: $650,000 × 0.005416667 / [1 − (1 + 0.005416667)−360] = $4,108.52 per month, rounded to cents.
- Total of rounded payments: $4,108.52 × 360 = $1,479,067.20.
- Estimated total interest: $1,479,067.20 − $650,000 = $829,067.20.
Assumptions
- The interest rate is fixed for the full term, and payments are level.
- Payments are monthly and made at the end of each period.
- Interest is modelled monthly at the annual rate divided by 12.
- The estimate excludes closing costs, lender fees, taxes, insurance, mortgage insurance, escrow, and any cash paid at closing.
What a 30-Year Refinance Rate Means in Los Angeles
A 30-year refinance rate is the annual rate quoted for a new mortgage whose repayment schedule runs for 360 monthly payments. “Los Angeles” identifies the property market, but it does not produce one universal rate. Quotes can differ with the borrower’s application, property, loan structure, points, and lender pricing, and rates can change over time. This page therefore does not state a current or typical Los Angeles rate. Use a dated quote from a lender rather than relying on a search snippet or an old advertised example.
The calculator’s rate field is an input, not a market-rate lookup. Confirm whether the quote is an interest rate or an APR and what fees or discount points are included. APR can reflect certain loan costs as well as interest, so entering an APR into a formula that treats it as a simple nominal annual rate is an approximation. For a precise payment illustration, ask for the lender’s payment schedule and use the note rate and actual loan amount specified in its disclosure.
What to Enter and How to Read the Result
Enter the amount of the proposed new mortgage, not automatically the home’s value or the balance on an older statement. A refinance amount may account for the existing payoff and, depending on the transaction, financed costs or cash taken out. The calculator cannot determine those components; use the amount shown in the written estimate you want to evaluate.
- Monthly payment: principal and interest only. It is not the full monthly housing expense.
- Total interest: a mathematical estimate across all scheduled payments, based on the entered rate and term.
- Term: the number of years for the new loan. The example uses 30 years, but the input allows other terms.
Property taxes, homeowners insurance, mortgage insurance, association charges, and escrow contributions may affect a household’s actual monthly outlay but are not calculated here. Closing costs are also omitted. If costs are paid upfront, they are not part of the loan amount; if financed, they can raise the principal and the calculated payment.
Comparing a Refinance With an Existing Mortgage
A lower monthly payment by itself does not show whether refinancing reduces the total cost. The new loan may restart the repayment period, extend the time debt remains outstanding, or include costs. Compare the proposed loan with the existing mortgage using the remaining balance, remaining term, rate, expected time in the home, and itemized transaction costs. A fair comparison also accounts for how much principal would be paid down in each scenario by the same future date.
For example, a homeowner who has already paid down a mortgage for several years could see a smaller payment by replacing it with a fresh 30-year schedule, even if the new schedule runs longer. That payment change does not, on its own, establish a lower total interest cost. This calculator estimates the new loan in isolation; it does not calculate break-even timing, compare amortization schedules, or decide whether a transaction is suitable.
Costs, Quote Details, and Common Problems
Request a written loan estimate or equivalent itemized quote and review the loan amount, rate, APR, term, points, lender charges, third-party costs, and any cash due. Ask which costs are paid at closing and which, if any, are added to the balance. A “no-cost” description can mean costs are offset or reflected elsewhere in the pricing; it does not mean the calculator has included them.
- Using the wrong balance: a payoff amount can differ from a statement balance because interest accrues and other amounts may be due.
- Confusing payment with housing cost: this result excludes taxes and insurance, among other items.
- Comparing different terms: compare loans over consistent time periods, not just their first monthly payments.
- Rounding differences: lenders may calculate daily interest, payment dates, and final payments using their own servicing conventions. This estimate rounds each monthly payment to cents.
Frequently Asked Questions
What is the current 30-year refinance rate in Los Angeles?
This calculator does not track live rates, and there is no single rate that applies to every borrower or loan. Request a current, dated quote and check its rate, APR, points, and fees.
How much would a $650,000 30-year refinance cost per month?
At the example input of 6.5%, the estimated monthly principal-and-interest payment is $4,108.52. That is an illustration, not a current market quote, and excludes taxes, insurance, fees, and other housing costs.
Does a 30-year refinance payment include property taxes and insurance?
No. The calculator estimates principal and interest only. Use the lender’s payment breakdown and applicable property information to assess other recurring costs.
Is the refinance rate the same as APR?
Not necessarily. The interest rate is used to calculate periodic interest; APR may incorporate certain costs under the lender’s calculation. Check the quote’s definitions and use the figures for the comparison you intend to make.
Can a lower payment mean I pay more overall?
It can. A longer repayment period may reduce the scheduled monthly payment while extending the time interest accrues, and transaction costs can add to the overall expense. Compare balances and costs over the same time horizon.
This result is an estimate for education, and the lender’s disclosure gives the exact figures.
Related
Formula used
in p | New loan amount | $ | 650000 | 1 | 100000000 in apr | Interest rate (APR) | % | 6.5 | 0.01 | 100 in yrs | Loan term | years | 30 | 0.0833 | 50 out pmt | Monthly principal and interest | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2 out int | Total interest over term | $ | pmt * yrs * 12 - p | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.
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