Mortgage Payment Calculation
Calculate a monthly mortgage payment, formula, total repayment, and total interest.
mortgage · calculation · interest · finance · loan
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Calculate the monthly payment for a 350,000 euro mortgage over 25 years at 3.8% annual interest, and show the formula and total interest paid.
For a **€350,000** mortgage with an annual interest rate of **3.8%** over **25 years**, here is the breakdown of your monthly payments and the total interest you would pay. ### 1. The Formula To calculate the monthly payment ($M$), we use the standard [amortization](wiki:Amortization) formula: $$M = P \frac{r(1+r)^n}{(1+r)^n - 1}$$ **Where:** * **$P$ (Principal):** €350,000 * **$r$ (Monthly Interest Rate):** $3.8\% / 12$ months = $0.00316667$ * **$n$ (Total Number of Payments):** $25 \text{ years} \times 12 \text{ months} = 300$ ### 2. Monthly Payment Calculation Based on the values above, your monthly payment would be: **€1,809.00** Calculation result ### 3. Total Interest Paid To find the total interest, we multiply the monthly payment by the number of months and subtract the original loan amount: $$\text{Total Interest} = (M \times n) - P$$ * **Total Amount Paid:** €542,699.39 * **Total Interest:** **€192,699.39** *** ### Summary Table Keep in mind that this calculation assumes a [fixed-rate mortgage](wiki:Fixed-rate_mortgage) and does not include additional costs like [home insurance](wiki:Home_insurance), property taxes, or potential bank fees. **Would you like to see how much you could save by increasing your monthly payment or shortening the term to 20 years?** **Next Steps:** - [Explore 20-year mortgage comparison](/#) - [Calculate the impact of an extra €200/month payment](/#) --- *⚠️ This is educational information only and not financial advice. Consult a qualified financial professional or tax advisor for financial decisions.*