The principal and interest repayment method means to repay the loan principal and interest in equal amount every month during the loan period, and the calculation formula of the monthly repayment amount is:
Monthly repayment amount = loan principal × monthly interest rate ×( 1+ monthly interest rate) repayment months /[( 1+ monthly interest rate) repayment months-1]
The other is the repayment method in the average capital (interest is paid with the principal), that is, the loan principal is repaid in equal amount every month, and the loan interest decreases with the principal month by month. The calculation formula of monthly repayment amount is:
Monthly repayment amount = loan principal/months of loan term+(principal-accumulated amount of repaid principal) × monthly interest rate.
The answers in the title are as follows:
1. The monthly repayment formula of equal principal and interest is as follows: principal * annual interest rate/12*( 1+ annual interest rate/12) loan months /(( 1+ annual interest rate/12) loan months.
755000 * 6.8%/ 12 * ( 1+6.8%/ 12) 360/(( 1+6.8%/ 12) 360-65438+.
Over the past 30 years, your total repayment amount is 4922.04 * 30 *12 =1771933 yuan. The principal is 755,000 yuan and the interest is 10 16933 yuan.
2. The principal is 755,000/30/12 = 2097.22 yuan. Monthly interest = monthly principal * monthly interest rate.
In the first month, your principal is 755,000 yuan, so your interest in the first month is 755,000 * 6.8%/12 = 4,278.33 yuan. Plus the principal, your first monthly payment is 6375.56 yuan. In the second month, your principal is 755000 yuan -2097.22 yuan = 752902.78 yuan. Then your interest for the second month is 752,902.78 * * 6.8%/12 = 4,266.45 yuan. Plus the principal, your second monthly payment is 6363.67 yuan. Less than the first month 12 yuan or so.
3. If you pay according to the repayment method of average capital, then the interest you pay for the whole 30 years is 7798+07 yuan. In the way of matching principal and interest just calculated, your interest for the whole 30 years is 10 16933 yuan.
4. The final interest difference is that the equal principal and interest is about 244,693 yuan more than the average capital.
Extended information: Personal housing loan refers to the loan issued by the bank to the borrower for the purchase of self-occupied ordinary housing. The borrower must provide a guarantee when applying for a personal housing loan.
Personal housing loan business is one of the main asset businesses of commercial banks. He refers to the loans granted by commercial banks to borrowers who buy houses for the first time (that is, houses developed and built by real estate developers or other qualified developers and sold to individuals).
(1) The full name of personal housing entrusted loan is personal housing guarantee entrusted loan, which refers to the personal housing loan entrusted by the housing fund management center to commercial banks by using the housing provident fund. Housing provident fund loan is a policy personal housing loan, on the one hand, the interest rate is low; On the other hand, it mainly provides such loans to low-and middle-income workers who pay the provident fund.
However, because the interest difference between housing provident fund loans and commercial loans is above 1%, both investors and ordinary people who buy houses and live in their own homes are more inclined to choose housing provident fund loans to buy houses.
(2) Personal housing self-operated loans are loans granted to individual buyers with bank credit funds as the source. Also known as commercial personal housing loans, personal housing secured loans.
(3) Personal housing portfolio loan refers to the loan issued to the same borrower with housing provident fund deposits and credit funds for the purchase of self-occupied ordinary housing, which is a combination of personal housing entrusted loans and self-operated loans. In addition, there are housing savings loans and mortgage loans.
Reference: Personal Housing Loan Baidu Encyclopedia