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How much is the monthly housing loan of 560 thousand for 30 years?
Mortgage can be divided into "equal principal and interest" and "average capital" repayment methods;

Assume that the loan execution interest rate is 6%; Then, annual interest rate =6%, monthly interest rate = annual interest rate/12 = 0.5%;

First, the "equal principal and interest" method

Formula Monthly repayment amount = loan amount * monthly interest rate/1-( 1+ monthly interest rate)-repayment months

Monthly repayment amount = 560000 * 0.5%/1-(1+0.5%)-360

Monthly repayment amount = 3357.48 yuan

Total repayment amount = 1, 208,693.86 yuan.

Total interest = 648,693.86 yuan.

Second, the "average capital" model.

(1), calculate the down payment.

Formula down payment = loan amount *[( 1/ total months)+monthly interest rate)]?

Down payment =560000*[( 1/360)+0.5%)]

The first repayment amount = 4355.56 yuan.

(2) Calculate the monthly decline?

Formula Monthly Decreasing Amount = Loan Amount/Total Months * Monthly Interest Rate

Monthly decline rate =560000/360*0.5%

Monthly decreasing amount =7.78 yuan

(3) Calculate the total amount of interest and repayment.

Formula total interest = 1/2* loan amount * monthly interest rate *( 1+ total months)

Total interest =1/2 * 560000 * 0.5% * (1+360)

Total interest = 505,400.00 yuan

Total repayment = 65,438+0,065,400.00 Yuan.

* Analysis of results *

Under the assumed conditions, the monthly repayment of "equal principal and interest" is 3357.48 yuan, and the total repayment amount is 1, 208,693.86 yuan;

"Even cost" method, the first repayment amount is 4355.56 yuan, and then it will decrease by 7.78 yuan month by month; The total repayment amount is 1, 065,400.00 yuan;

"Equal capital" saves interest 143293.86 yuan compared with "equal principal and interest".