Matching principal and interest repayment method:
Monthly loan amount = [loan principal × monthly interest rate ×( 1+ monthly interest rate )× repayment months ]=[( 1+ monthly interest rate )× repayment months]
Monthly interest payable = loan principal × monthly interest rate ×[( 1+ monthly interest rate) repayment months -( 1+ monthly interest rate) (repayment month serial number-1)] ÷ [(1+monthly interest rate) repayment months -650.
Monthly repayment principal = loan principal × monthly interest rate ×( 1+ monthly interest rate) ÷ (repayment month serial number-1)÷[( 1+ monthly interest rate) repayment months-1]
Total interest = repayment months × monthly repayment amount-loan principal
Average capital repayment method:
Monthly payment = (loan principal ÷ repayment months)+(loan principal-accumulated repaid principal) × monthly interest rate.
Monthly repayable principal = loan principal ÷ repayment months
Monthly interest payable = residual principal × monthly interest rate = (loan principal-accumulated principal repayment) × monthly interest rate
Monthly decreasing amount = monthly repayable principal × monthly interest rate = loan principal ÷ repayment months × monthly interest rate.
Total interest = [(total loan ÷ repayment months+total loan × monthly interest rate)+total loan ÷ repayment months ×( 1+ monthly interest rate) ]> 2× repayment months-total loan.
Note: monthly interest rate = annual interest rate ÷12 154 =15×15 (15 to the fourth power, that is, four15 times.
Loan amount: 150000 yuan.
Loan term: 5 years (60 months)
Several situations in which the interest rate remains unchanged and the loan is fully paid off:
Calculated by commercial loan and equal principal and interest.
Annual interest rate: 6.9% (monthly interest rate is 5.75‰)
Monthly payment: 2963.6438+0 1 yuan.
Total interest: 27,786.47 yuan.
According to commercial loans, calculated by average capital.
Annual interest rate: 6.9% (monthly interest rate is 5.75‰)
Monthly payment for the first month: 3,362.5 yuan.
Decreasing month by month: 14.38 yuan
Monthly payment at the end of the month: 25 14.38 yuan.
Total interest: 26,306.25 yuan
Question 2: What does monthly payment mean? How is the monthly payment calculated? What is the formula? Yuè gòng refers to the monthly repayment amount that the lender should pay to the lending bank during the repayment period, including the principal part and the corresponding interest, when purchasing commercial houses and motor vehicles by bank mortgage.
Two repayment methods and calculation formulas of housing loans;
I. Matching principal and interest repayment method, in the initial repayment period, the interest expense is the largest and the principal is the least. After that, the interest payment gradually decreased and the principal gradually increased, but the monthly repayment amount (principal+interest) remained unchanged. It is more suitable for young people with low income and little savings, because the pressure of monthly payment will not reduce the quality of life. The formula is:
Monthly repayment amount = loan principal * monthly interest rate *( 1+ monthly interest rate) total repayment months /(( 1+ monthly interest rate) total repayment months-1)
In the above formula, it is fixed, so the repayment amount is fixed. Let's modify the formula:
Monthly repayment amount = loan principal * monthly interest rate+loan principal * monthly interest rate /(( 1+ monthly interest rate) total repayment months-1)
Among them, we call' loan principal * monthly interest rate' as monthly interest, and' loan principal * monthly interest rate /(( 1+ monthly interest rate) total repayment months-1)' as monthly principal. The sum of the two is the monthly repayment amount, which is also called the total principal and interest (one month); Total interest = total repayment months * total principal and interest-loan principal, that is, all the interest you spend. ""represents an index.
Two, the average capital repayment method refers to the monthly repayment of the loan principal, the loan interest decreases month by month, and the monthly repayment amount (principal plus interest) decreases gradually. The total interest paid is less than the equal principal and interest method. Suitable for middle-aged people with high income and certain savings. The formula is:
Monthly repayment amount = loan principal/total repayment months+(loan principal-accumulated repaid principal) * monthly interest rate.
In which: accumulated repayment principal = loan principal/total repayment months * repayment months.
Question 3: How to calculate the monthly payment of equal principal and interest of real estate?
Suppose the loan amount is A, the monthly interest rate is I, the annual interest rate is I, the number of repayment months is N, the monthly repayment amount is B, and the total repayment interest is Y.
1:I= 12×i
2:Y=n×b-a
3. The interest for repayment in the first month is: a× i.
The repayment interest of the second month is: [a-(b-a× i) ]× i = (a× i-b )× (1+i) to the power of1+b.
The repayment interest of the third month is: {a-(b-a× i)-[b-(a× i-b )× (1+i)1power-b] }× i = (a× i-b )× (/kloc-0).
The repayment interest of the fourth month = (A× I-B )× (1+I) cubic+B.
The repayment interest of the nth month is the power of (N- 1)+B = (A× I-B )× (1+I).
The above sum is: the power of n- 1 of y = (a× I-b )× [( 1+I)] ÷ I+n× b.
4. The above two y values are equal.
Average monthly repayment b = n power of a× I× (1+I) [n- 1 power of (1+I)].
Pay interest y = n× a× I× (1+I) to the power of n [( 1+I) to the power of n- 1]-a.
Total repayment amount n× a× I× (1+I) to the power of n [( 1+I) to the power of n- 1]
The first one is very simple, and the second one must consider reducing the interest on January repayment, otherwise you will not understand the principle.
Question 4: How is the monthly mortgage payment calculated? Loan 200 thousand. Based on the 20-year benchmark interest rate of 6.55%, the monthly repayment is 1.497.04 yuan, and the interest is 1.59 million yuan.
If there is a provident fund loan, the interest rate is 4.5%, the monthly repayment is 1265.3, and the interest is * * * 103700.
Question 5: How to calculate the monthly mortgage loan for commercial loans? The benchmark interest rate for loans over five years is 5.94%, and the monthly interest rate is 5.94%/12 = 0.495%; Enjoy a 15% discount, with a monthly interest rate of 5.94%*0.85/ 12=0.42075%.
Monthly repayment for 330,000 years (360 months):
【330000*0.42075%*( 1+0.42075%)^360]&； Household 47; [(1+0.42075%) 360-1] =1781.41yuan.
Description: 360 is the power of 360.
If you give a 30% discount, the monthly interest rate will be 5.94%*0.70/ 12=0.3465%.
[330000 * 0.3465% * (1+0.3465%) 360]/[(1+0.3465%) 360-1] =1605.68 yuan.
Question 6: How are the down payment, monthly payment and interest of housing loans calculated? 1, equal principal and interest calculation formula
Calculation principle: from the beginning of monthly contribution, the bank collects the interest of the remaining principal first, and then the principal; The proportion of interest in monthly payment decreases with the decrease of residual principal, and the proportion of principal in monthly payment increases with the increase, but the total monthly payment remains unchanged.
Down payment = principal × down payment ratio
Monthly payment = monthly principal+monthly principal and interest
Monthly principal = principal/repayment months
Monthly principal and interest = principal x monthly interest rate
2. Calculation formula of average capital
The borrower distributes the principal equally every month and pays off the interest between the last repayment date and the current repayment date. Compared with the matching principal and interest, the total interest cost of this repayment method is lower, but the principal and interest paid in the early stage are more, and the repayment burden is reduced month by month.
Monthly repayment amount = monthly principal+monthly principal and interest
Monthly principal = principal/repayment months
Monthly principal and interest = (principal-total accumulated repayment) x monthly interest rate
Calculation principle: the amount of principal returned every month is always the same, and the interest will decrease with the decrease of the remaining principal.
Question 7: How to calculate the monthly supply of housing provident fund when buying a house? I don't get it. The monthly provident fund for buying a house is easy to calculate, just like a commercial loan. Only the interest rate of the provident fund is lower. The commercial loan interest rate is 6.65%, and the provident fund interest rate is 4.55%. The loan amount multiplied by your loan term multiplied by 4.55% is your total repayment amount. It has nothing to do with your monthly provident fund payment. If your monthly repayment amount is 3,000 yuan and your balance in the company's provident fund is 2,000 yuan, then you have to deposit 1 0,000 yuan into the provident fund card every month to complete the monthly repayment amount.
Question 8: How is the monthly mortgage payment calculated? To apply for a loan from China Merchants Bank, you need to know the loan principal, loan term, repayment method and annual interest rate, and calculate the loan interest or monthly repayment amount. If the above information is confirmed, you can try to calculate it through our loan calculator. Log in to the lower right of China Merchants Bank official website and find the "Financial Calculator"-"Personal Loan Calculator" for calculation.
Question 9: How to calculate the monthly payment? Two repayment methods and calculation formulas of housing loan;
I. Matching principal and interest repayment method, in the initial repayment period, the interest expense is the largest and the principal is the least. After that, the interest payment gradually decreased and the principal gradually increased, but the monthly repayment amount (principal+interest) remained unchanged. It is more suitable for young people with low income and little savings, because the pressure of monthly payment will not reduce the quality of life. The formula is:
Monthly repayment amount = loan principal * monthly interest rate *( 1+ monthly interest rate) total repayment months /(( 1+ monthly interest rate) total repayment months-1)
In the above formula, it is fixed, so the repayment amount is fixed. Let's change the formula to one:
Monthly repayment amount = loan principal * monthly interest rate+loan principal * monthly interest rate /(( 1+ monthly interest rate) total repayment months-1)
Among them, we call' loan principal * monthly interest rate' as monthly interest, and' loan principal * monthly interest rate /(( 1+ monthly interest rate) total repayment months-1)' as monthly principal. The sum of the two is the monthly repayment amount, which is also called the total principal and interest (one month); Total interest = total repayment months * total principal and interest-loan principal, that is, all the interest you spend. ""represents an index.
Two, the average capital repayment method refers to the monthly repayment of the loan principal, the loan interest decreases month by month, and the monthly repayment amount (principal plus interest) decreases gradually. The total interest paid is less than the equal principal and interest method. Suitable for middle-aged people with high income and certain savings. The formula is:
Monthly repayment amount = loan principal/total repayment months+(loan principal-accumulated repaid principal) * monthly interest rate.
In which: accumulated repayment principal = loan principal/total repayment months * repayment months.
Question 10: How to calculate the monthly payment for buying a house 1. Loan policy.
There are many policies, but I mainly tell you some common situations.
1. First of all, the loan amount. For the first house, individuals can borrow 70% of the total house price, which is 30% of the total down payment.
If it is a second-hand house, tax, comprehensive tax, personal income tax, evaluation fee and so on will be generated in the transaction.
Originally, these taxes were borne by both parties to the second-hand housing transaction. * * * I hope so. )
But in the second-hand housing market, there is such a hidden rule that all taxes are borne by the buyer. For a 2 million house, the tax to be paid for buying a house is nearly 200,000 yuan, which should be paid off at the time of down payment. In other words, for example, if you buy a 200W second-hand house, the down payment is 200 * 30% = 600,000, but you have to.
For the second house, the loan amount is 60%, that is, the down payment should reach 40%.
Let me remind you that you can't apply for a loan for a house built 85 years ago Pay attention when buying an old house! For example, for a 40W house in 1984, you have to pay back 40W at one time, and there is no possibility of any loan.
Second, the annual interest rate of the loan.
The latest annual loan interest rate in 2008 is as follows:
Category item
Annual interest rate (%)
I. Short-term loans
Within six months (including six months) 6.57
Six months to one year (including one year) 7.47
Second, medium and long-term loans
One to three years (including three years) 7.56
Three to five years (including five years) 7.74
More than five years 7.83
Third, paste it now.
Discount is determined by taking the rediscount rate as the lower limit and adding points.
According to the annual interest rate standards promulgated by the above countries, ordinary banks will now give customers some concessions. The limit of the discount is: the annual interest rate goes down 15%. For example, a 20-year mortgage loan, that is, the annual interest rate of more than 5 years is 7.83%, and the bank can calculate it according to your interest rate of 6.65%.
As long as everyone has a number, the general bank will take the initiative to provide it. If they don't say anything, you can ask if it has fallen 15%.
Third, the types and calculation methods of monthly payment.
There are two monthly repayment methods: average capital repayment method and matching principal and interest repayment method.
First of all, explain what repayment includes.
Total loan repayment = loan principal+loan interest, which I believe everyone has no problem, that is, the so-called interest!
Let's explain these two situations:
The average capital, in layman's terms, is to repay average capital plus the current month's interest. In other words, divide the total loan principal into certain equal parts. The number of shares is the number of months of your loan life. For example, if you borrow 20W and pay it back in 20 years, then the monthly average capital is: 200,000 /20 years * 65438+February. So the average monthly capital has been made clear. In the average capital, the monthly interest is different, because the monthly interest = the remaining principal of the month * the monthly interest rate. As you pay off a certain amount of principal every month, the remaining principal will be less and less, so the interest will be less and less.
Average monthly fund supply = average monthly fund+interest of the current month = average monthly fund+(remaining principal of the current month * monthly interest rate).
* where monthly interest rate = annual interest rate/12.
Therefore, the average monthly capital payment is different. It will be higher in the first few months, and less later. Until the last month, the principal is 0 and the interest is 0.
Matching principal and interest, popularly speaking, means that the monthly repayment principal+interest is the same, that is, the monthly repayment amount is the same. The calculation method of this thing is more complicated.
I just provide you with a calculation formula here, and interested friends can calculate it.
A = p {I (1+I) n/[(1+I) n-1]} (n is exponential)
A: Monthly contributions.
P: total donations
I: monthly interest rate (annual interest rate/12)
N: Total months of contribution (year × 12)
Example: to buy a house with a price of 500,000 yuan, the first three transactions are 1.5 million yuan, and the mortgage is 3...> & gt