Calculation formula of equal repayment

Monthly principal and interest repayment amount = [monthly interest rate of principal (1 monthly interest rate) repayment months ]/[( 1 monthly interest rate) repayment months-1]

In which: monthly interest = monthly interest rate of residual principal loan.

Monthly principal = monthly contribution _ monthly interest

Calculation principle: from the beginning of monthly contribution, the bank collects the interest of the remaining principal first, and then the principal; The proportion of interest in monthly payment decreases with the decrease of residual principal, and the proportion of principal in monthly payment increases, but the total monthly payment remains unchanged.

Calculation formula of monthly decreasing repayment amount

Monthly principal and interest repayment amount = (principal/repayment months) (principal _ accumulated repaid principal) monthly interest rate.

Monthly principal = total principal/repayment months

Monthly interest = (principal _ accumulated principal repayment) monthly interest rate

Calculation principle: the amount of principal returned every month is always the same, and the interest decreases with the decrease of the remaining principal.

Friends who borrow money to buy a house should have this experience. After the People's Bank of China adjusted the interest rate (the annual interest rate was raised from 0.0504 to 0.053 1, and it took effect on June 65438+1 October 2005), everyone's monthly repayment amount increased a little. For example, I borrowed 220,000 yuan from China Construction Bank in early 2003. After 20 years, I still pay 1, 456.77 yuan every month. After adjustment, I paid RMB 65,438+0,489.85 per month from June 2005. After the interest rate adjustment, the bank's calculation method is to recalculate the whole repayment period (240 months) according to the new interest rate, so as to get the monthly repayment amount.

This practice is problematic, and it does not follow the principle of repayment calculation determined by the bank: monthly interest = monthly interest rate of residual principal loan. Starting from the monthly contribution, the bank collects the interest on the remaining principal first, and then the principal; The proportion of interest in monthly payment decreases with the decrease of residual principal, and the proportion of principal in monthly payment increases, but the total monthly payment remains unchanged.

Because the interest rate is high, the interest paid in advance is more. According to the bank's algorithm, it is not recognized that the corresponding principal has been paid.

The correct calculation method is to calculate the remaining principal and the number of remaining repayment periods when the interest rate adjustment takes effect, so as to get the monthly repayment amount, instead of recalculating the whole repayment period at the new interest rate after the interest rate adjustment, because the adjusted interest rate cannot be used before the adjustment.

Pay 20 years according to the amount of 1489.85, and pay about 2000 yuan more.

Second, the monthly loan calculation method

Because you have no loan term, I can only give you one according to the term of 10!

The benchmark annual interest rate is 5.94%, 25% off 5.94%0.75=4.455%. The monthly interest rate is 3.71.25 ‰;

First month: 240,000 yuan/1.20 month = monthly repayment of the principal of 2,000 yuan, 2,400,003.75438+0.25 ‰ = 891interest; The first month is 289 1 yuan;

Second month: 240,000 yuan/1.20 month = repayment of the principal of 2,000 yuan per month, (240,000 -2000)3.7 1.25‰= 883.58 interest; The first month is 2883.58 yuan;

The rest of the analogy is mainly the change of bold 2000 in the formula, which needs to be calculated 120 times.

3. How to calculate the monthly bank loan?

If the total loan amount is divided by the number of years, such as 800,000/25 = 32,000 annual principal, 32,000/65,438+02 = 2666.666 This is the monthly loan amount principal, excluding interest, and the interest is, for example, 6 cents per year, 8,000,006 cents per year = 48,000/per year.