Hello, the following is the formula for calculating the repayment amount of the equal principal and interest repayment method:
But note: the calculation process is very complicated, so it is recommended that you directly calculate the memory of the loan calculator provided online:
Suppose the loan amount is 300,000 yuan, the monthly interest rate is I, the annual interest rate is I, the number of repayment months is 15x 12= 180, the monthly repayment amount is B, and the total repayment interest is Y (Note: A B stands for the power of A).
1:I= 12×i
2:Y= 180×b-a
3. The interest for repayment in the first month is: a× i.
The repayment interest of the second month is [a-(b-a× i) ]× i = (a× i-b )× (1i)1b.
The repayment interest of the third month is {a-(b-a× i)-[b-(a× i-b )× (1i)1-b] }× i = (a× i-b )× (1i).
The fourth month repayment interest =(a×I-b)×( 1i)3b.
.....
Average monthly repayment: b = a× I× (1I)180 ÷ [(1I)180-/]
Interest paid: y = n× a× i× (1i)180 ÷ [(1i)1]-a.
Total repayment amount: n× a× I× (1I)180 ÷ [(1I)180-/]
Second, the repayment formula of commercial loans
There are two repayment methods, interest and principal are calculated separately.
(1) Repayment method of equal principal and interest:
Matching principal and interest means that the monthly repayment amount is the same, and average capital means that the principal paid to the bank every month is the same during the loan period. Because the interest is decreasing month by month, the monthly repayment amount will be less and less.
1. Monthly payment = [loan principal× monthly interest rate× (1 interest rate )× repayment months] ((1interest rate )× repayment months]
2. Monthly interest payable = loan principal × monthly interest rate × [(1interest rate )× repayment months -( 1 interest rate )× (repayment month serial number-1) ÷ [(1interest rate )× repayment months -65438.
3. Monthly repayment of principal = loan principal × monthly interest rate ×( 1 interest rate) ÷ (repayment month serial number-1) ÷ [(1interest rate) repayment months-1]
4. Total interest = repayment months × monthly payment-loan principal
(2) the average capital repayment method:
1. Monthly payment = (loan principal ÷ repayment months) (loan principal-accumulated repaid principal amount) × monthly interest rate.
2. Monthly repayable principal = loan principal ÷ repayment months.
3. Monthly interest payable = residual principal × monthly interest rate = (loan principal-accumulated amount of repaid principal) × monthly interest rate.
4. Declining monthly payment = monthly payable principal × monthly interest rate = loan principal ÷ repayment months × monthly interest rate.
5. Total interest = [(total loans ÷ repayment months ÷ total loans × monthly interest rate) total loans ÷ repayment months ×(65438+ monthly interest rate)] ÷ 2
6. Description of repayment months-total loan amount: monthly interest rate = annual interest rate ÷12154 =15×15 to the fourth power, that is,
Extended data:
O During the loan period, the borrower repays the principal and interest of the bank loan with the same monthly repayment amount.
O Borrowers can choose two ways: automatic deduction by computer or repayment by networked savings offices of loan banks, and repayment of loan principal and interest on a monthly basis;
5. Modification or termination of the loan contract
O If it is necessary to change the loan contract, it must be agreed by the loan handling bank, the borrower and relevant parties through consultation, and the change contract shall be signed according to law.
O If the borrower dies, is declared missing or loses capacity for civil conduct, and his heirs, guardians or legatees continue to perform the loan contract signed by the borrower, they shall re-sign the loan contract and go through the relevant formalities.
O After the borrower repays all the loan principal and interest as agreed in this contract, the mortgage or pledge is returned to the mortgagor or pledger, and the loan contract is terminated.
China Agricultural Bank Personal Housing Mortgage Loan
Refers to the consumer loan business in which the borrower purchases affordable housing designated by the Agricultural Bank of China and applies for a loan from the Agricultural Bank of China with the purchased housing as collateral to pay part of the purchase price and repay the principal and interest on a monthly basis. The loan amount can reach 70% of the house price, the longest term can reach 20 years, and the interest rate is fixed at one year.