Under the method of matching principal and interest, the monthly repayment amount is fixed, and the calculated total repayment amount is 1539700.
Under the free repayment mode, the minimum monthly repayment amount is
4495 yuan, but if we choose to repay 5578.7 yuan per month (equal principal and interest), we want to know whether the total repayment amount is the same as the equal principal and interest.
Assume that the total loan amount is P (principal), the monthly repayment amount is M, the annual interest rate is ",and the loan period is N..
Under the equal principal and interest repayment method, the formula of monthly repayment amount m is:
m = p×lr/( 1-( 1+r)^(-n))]
STal Total _ return = M x n
Under the free repayment mode, the minimum monthly repayment amount is fixed, but we can choose more.
If we choose to repay M every month, the total repayment amount will also be
M x n。
Now let's calculate the total repayment amount in these two cases and compare whether it is the same.
Under the repayment method of equal principal and interest, the total repayment amount is: 1539722 yuan.
Under the free repayment mode, if you choose to repay 5578.7 yuan per month, the total repayment amount will be 1539722 yuan.
So the total repayment amount of these two methods is the same.