Calculation of equal principal and interest: [Monthly loan principal interest rate (1 interest rate) repayment months]/[(1interest rate) repayment months-1].

Average fund calculation formula: monthly repayment amount = (loan principal/repayment months) (principal-accumulated amount of repaid principal) monthly interest rate, where the symbol represents power.

For example, suppose the principal is 10000 yuan, the bank loan is 10 year, and the benchmark interest rate is 6.65%, and compare the differences between the two loan methods.

Matching principal and interest repayment method: monthly interest rate = annual interest rate/12 = 0.0665/12 = 0.005541667; Monthly repayment principal and interest = [100000.005541667 (10.005541667)120]/[(10.00545433) The total repayment amount is 137 17.52 yuan; The total interest is 37 175200 yuan.

Average capital repayment method: monthly repayment amount = (loan principal/repayment months) (principal-accumulated amount of repaid principal) monthly interest rate = (10000/120) (10000-accumulated amount of repaid principal) 0.00554/kloc-0. First month repayment 138.75 yuan, with a monthly decrease of 0.462 yuan; The total repayment amount is 13352+0 yuan; Interest 3352.7438+0 yuan.

Equal principal and interest:

Matching principal and interest refers to the repayment of the same amount of loans (including principal and interest) every month during the repayment period, which is a repayment method of loans. It is a different concept from average capital. Although the monthly repayment amount may be lower than that at the beginning of average capital repayment method, the final interest paid will be higher than that of average capital repayment method, which is often used by banks.

At the beginning of this century, some banks in the United States restricted the prepayment of loan customers by some means, such as requiring prepayment to pay liquidated damages, or only allowing partial prepayment, or limiting prepayment within three years. The reason is that a large number of bank loans are lent through third parties, and banks have to pay a large commission in advance for this; In addition, the initial interest rates of many loans issued by banks themselves are set at low levels to attract customers.

Detailed calculation method of matching principal and interest loan

Calculation method of equal principal and interest: monthly repayment amount = loan principal × [monthly interest rate× (1interest rate) repayment months] {[(1interest rate) repayment months]-1}.

Bring in the loan principal, monthly interest rate and repayment months to calculate the monthly repayment amount. Sum of principal and interest = 300,000 (15.049% 30) = 754410 yuan, and monthly repayment = 744410/(3012) = 2095.58 yuan.

Matching principal and interest repayment method, that is, the borrower repays the loan principal and interest with the same amount every month, in which the monthly loan interest is calculated according to the remaining loan principal at the beginning of the month and settled every month. Because the monthly repayment amount is equal, in the initial monthly repayment of the loan, the principal of the loan is less after excluding the monthly settlement interest; In the monthly repayment after the end of the loan, after deducting the interest settled monthly, the principal of the loan is more.

This repayment method actually takes up more bank loans and takes longer. At the same time, it is also convenient for borrowers to reasonably arrange their monthly life and financial management (such as renting a house, etc.). ), which is undoubtedly the best choice for people who are proficient in investment and good at "taking Qian Shengqian as their home".

Extended data:

deductive procedure

The formula of matching principal and interest repayment is introduced, assuming that the total loan amount is A, the monthly interest rate of the bank is β, the total number of installments is M (months) and the monthly repayment amount is X,

The bank loans owed at the end of each month are as follows:

At the end of the first month:

At the end of the second month:

At the end of the third month:

It can be concluded that the loan owed to the bank at the end of the nth month is:

As the total repayment period is m, that is, all bank loans have just been paid off at the end of m, there are:

From this, it can be concluded that: