How to calculate the first home mortgage loan
Buying their first home is an important step for many young people to start a family, and mortgage calculation is a key step that cannot be ignored in the home purchase process. Understanding how mortgage loans are calculated can not only help home buyers plan their finances reasonably, but also avoid decision-making errors caused by information asymmetry. This article will introduce in detail the calculation method of first home mortgage loan and provide structured data for reference.
1. Basic concepts of first home mortgage

A first home mortgage refers to a loan that a home buyer applies to a bank when purchasing a home for the first time. First-time home loans typically have lower interest rates and more favorable policies than second-home or multiple-home loans. The calculation of a mortgage mainly involves factors such as loan amount, loan term, interest rate, and repayment method.
2. Calculation factors for first home mortgage loan
1.loan amount: That is, the loan amount that a home buyer applies to the bank, usually the total price of the house minus the down payment.
2.loan term: That is, the repayment time of the loan, the common ones are 20 years, 25 years or 30 years.
3.interest rate: Divided into fixed interest rates and floating interest rates. Currently, the first home loan interest rate is usually LPR (loan market quoted rate) plus or minus basis points.
4.Repayment method: There are two main types: equal principal and interest and equal principal.
3. Calculation method of first home mortgage loan
The formula for calculating a mortgage differs depending on the repayment method. Here’s how two common repayment options are calculated:
1. Equal principal and interest repayment method
Equal principal and interest refers to a fixed monthly repayment amount, including principal and interest. The calculation formula is as follows:
| parameters | Description |
|---|---|
| Monthly repayment amount | Loan principal×monthly interest rate×(1+monthly interest rate)^number of repayment months/[(1+monthly interest rate)^number of repayment months-1] |
| total interest | Monthly repayment amount × number of repayment months - loan principal |
2. Equal principal repayment method
The equal principal payment means that the monthly principal repayment is fixed and the interest decreases month by month. The calculation formula is as follows:
| parameters | Description |
|---|---|
| Monthly repayment amount | (Loan principal ÷ number of repayment months) + (Loan principal – Accumulated principal repaid) × Monthly interest rate |
| total interest | (number of repayment months + 1) × loan principal × monthly interest rate ÷ 2 |
4. Calculation example of first home mortgage loan
Assume that a home buyer applies for a first-home loan of 1 million yuan, with a loan term of 30 years (360 months) and an interest rate of 4.1% (monthly interest rate is 0.003417). The following is a comparison of the calculation results of the two repayment methods:
| Repayment method | Monthly repayment amount (first month) | total interest |
|---|---|---|
| Equal principal and interest | 4,831.98 yuan | 739,513 yuan |
| Equal amount of principal | 6,250.00 yuan | 616,250 yuan |
As can be seen from the table, the equal principal and interest method has a fixed monthly repayment amount, which is suitable for home buyers with stable income; while the equal principal method has greater early repayment pressure, but the total interest is less, and is suitable for home buyers with higher income and who want to reduce interest expenses.
5. Other factors affecting first home mortgage
In addition to the basic calculation elements mentioned above, the following factors will also affect the actual amount of the mortgage:
1.down payment ratio: The minimum down payment ratio for a first home is usually 30%, but policies may vary in different cities.
2.bank policy: There may be differences in loan interest rates and handling fees among different banks.
3.personal credit: A good credit history helps get lower interest rates.
4.Provident Fund Loan: If you meet the conditions, you can further reduce the interest rate by using a provident fund loan.
6. How to choose the repayment method that suits you
Home buyers should choose the appropriate repayment method based on their own financial situation and future income expectations:
1.Stable income but limited room for growth: It is recommended to choose equal amounts of principal and interest to avoid excessive repayment pressure in the early stage.
2.Income is high and expected to increase in the future: You can choose equal principal payments to reduce total interest expenses.
3.Plan to repay early: The equal principal payment method is more suitable because the principal in the early repayment accounts for a higher proportion.
7. Recommended tools for mortgage calculation
There are currently many mortgage calculation tools on the market. Home buyers can quickly calculate their mortgage loans in the following ways:
1.Bank official website: Most banks offer online mortgage calculators.
2.Mobile APP: Platforms such as Alipay and WeChat also have built-in mortgage calculation functions.
3.Third party website: Some real estate websites provide detailed mortgage calculation tools and support comparison of multiple repayment methods.
Summary
The calculation of a first home mortgage involves many factors. Home buyers should fully understand the impact of the loan amount, term, interest rate and repayment method on the monthly payment and total interest. By choosing a reasonable repayment method and using calculation tools, you can better plan your finances and realize your dream of buying a home.
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