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# Monthly calculation formula for mortgage

Time: 2017-01-19         Source: Rong 360 finishing         Author: 360 Financial consolidation

1,Equal principal repaymentLaw (the maximum amount of repayment in the first month, and then monthly decrement). The formula for calculating the monthly supply of the equivalent principal law mortgage:

Monthly monthly payment = total loan amount / loan month + total loan amount * monthly interest rate value. Monthly monthly payment = (loan principal, repayment month) + (loan principal - accumulated principal repayment) × monthly interest rate. The monthly repayment of principal = loan principal, repayment month. Monthly interest payable = residual principal × monthly interest rate = (loan principal - accumulated principal amount repaid) × monthly interest rate. Monthly monthly delivery deduction = monthly repayment of principal × monthly interest rate = loan principal, repayment month × monthly interest rate. Total interest = [(Total loan amount, repayment month + total loan amount × monthly interest rate) + total loan amount, repayment month number × (1 + monthly interest rate)] ÷ 2 × repayment month - total loan amount.

2,Equal principal and interest repaymentLaw (equal repayments per month):Equal installments of principal and interestThe formula for calculating the monthly loan for repayment of the law:

Monthly monthly payment = [loan principal × monthly interest rate × (1 + monthly interest rate) ^ repayment month number] ÷ [(1 + monthly interest rate) ^ repayment month number -1]. Monthly interest payable = loan principal × monthly interest rate × [(1 + monthly interest rate) ^ repayment month - (1 + monthly interest rate) ^ (repayment month number -1)] ÷ [(1 + monthly interest rate) ^Repayment months -1]. The monthly principal amount = loan principal × monthly interest rate × (1 + monthly interest rate) ^ (repayment month number -1) ÷ [(1 + monthly interest rate) ^ repayment month number -1]. Total interest = number of repayment months × monthly monthly payment - loan principal.

For example, the commercial mortgage case: the loan principal is 300,000 yuan, and the repayment period is 10 years (that is, 120 months). According to the annual interest rate of 6.55%, the monthly interest rate is about 0.0546%. Substituting the equivalent principal repayment calculation formula, the monthly repayment amount can be calculated as RMB 3341.08.

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