With the development of commercial housing in my country for decades, housing loans have become the main form of home purchase. When buying a house with a loan, we will encounter whether we choose to repay the principal or the principal and interest equally. How are the two calcu

2025/10/0321:38:36 hotcomm 1292

With the development of commercial housing in my country for decades, housing loans have become the main form of home purchase. When buying a house with a loan, we will encounter whether we choose to repay the principal equally, or equally, principal and interest . How are the two calculated?

1. Calculation formula for equal principal and equal principal and interest

1. Equal principal

Equal principal repays the same "principal" every month, and the monthly repayment amount becomes smaller and smaller. The monthly repayment amount includes two parts: the principal that averages the total loan principal by the total repayment period and the interest generated by the remaining loan each month.

The calculation formula is:

(1) Monthly repayment of principal = total loan amount/total number of months of repayment period

(2) Monthly repayment of interest = (total loan amount - cumulative principal repaid) × Monthly interest rate

(3) Monthly repayment amount = monthly principal repayment + monthly interest repayment

Mortgage loan

2. Equal principal and interest

2. The monthly repayment amount of equal principal and interest

equal principal and interest is the same, and the compound interest calculation is used, and the formula is relatively complicated.

The calculation formula is:

Monthly repayable amount = loan principal × monthly interest rate × (1 + monthly interest rate) ^ repayment months/[(1 + monthly interest rate) ^ repayment months-1]

2. Case analysis

Wang borrowed 2.4 million yuan from the bank to purchase a house, with a loan term of 10 years and an annual interest rate of 6%.

1. The equivalent principal repayment method is used, and the monthly repayment amount is calculated as follows:

(1) The repayment amount in the first month = 2400000/120+24000000* (6%/12) = 32000 yuan

(2) The repayment amount in the second month = 2400000/120+ (2400000-20000)* (6%/12) = 31900 yuan

equal principal

(3) The repayment amount in the third month = 2400000/120 + (2400000-20000-20000)* (6%/12) = 31900 yuan

equal principal

(3) The repayment amount in the third month = 2400000/120 + (2400000-20000-20000)* (6%/12) = 31900 yuan

equal principal

(3) The repayment amount in the third month = 2400000/120 + (2400000-20000-20000)* (6%/12) )=31,800 yuan

...the remaining months and so on.

Total repayment amount = 32000+31900+31800+...= 3126000 yuan

2. Using the equal principal and interest repayment method, the monthly repayment amount is calculated as follows:

Monthly repayment amount = 2400000× (6%/12)× (1+6%/12)^120/[(1+6%/12)^120-1]=26644.92 yuan

Total repayment amount = 26644.92*120=3197390.4 yuan

equal principal and interest

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