What are the calculation methods for home loans?
Most people are unable to pay off a house in one lump sum, so many people choose to buy a house with a mortgage loan, but many people do not know how to calculate a home loan. I don’t know much about it, but what are the calculation methods for home loans? Join me below to learn more about it.
What are the calculation methods for home loans?
House loan calculations are divided into two types: the equal principal and interest method and the equal principal method according to the different repayment methods of personal mortgage loans. The repayment interest for equal principal and interest is calculated on a monthly basis, while the repayment interest for an equal amount of principal is calculated on a daily basis. The details are as follows:
1. Equal principal and interest repayment method:
(1) Repay the principal and interest of the loan with equal principal and interest payments every month.
(2) Calculation formula: average monthly repayment = (loan principal × monthly interest rate × (1-month interest rate) total number of repayment periods) ÷ (1-month interest rate) total number of repayment periods - 1
(3) For example: If you buy a 70-square-meter house, the price is 20,000 yuan/square meter, the mortgage ratio is 80%, and the mortgage period is 15 years. Then the total price of the house is 1.4 million yuan, the down payment is 280,000 yuan, and the average monthly repayment is 8880.24 yuan.
2. Equal principal repayment method:
(1) The equal principal repayment method is a type of declining repayment method, that is, the loan principal is apportioned to the repayment period. In each period of the loan, the interest that should be repaid in each period is calculated based on the unpaid principal. The principal amount of each period remains unchanged, but the loan interest will decrease period by period.
(2) Calculation formula: monthly (quarterly) principal and interest repayment amount = loan principal ÷ number of principal and interest repayments (loan principal - cumulative number of principal repayments) × month (quarterly) Interest rate
(3) The repayment amount of each installment of the equal principal repayment method will be different. At the beginning, the principal amount of the unexpected loan is relatively large, so the loan interest is relatively large, so the monthly payment is Also larger. But as the loan principal continues to decrease, the loan interest and monthly payments will also decrease.
The above is an introduction to the calculation methods of home loans. Now that house prices are so high, it is difficult to pay off the full amount, so you can choose a loan repayment method that suits you to buy a house. , I hope what I have explained will be helpful to you.
How is the housing loan calculated?
Question 1: How is the housing loan calculated? According to the calculation formula of general mortgage repayment methods, there are two types: 1. Equal principal and interest repayment method: within the repayment period, the same amount of loan (including principal and interest) is repaid every month, so that due to the monthly repayment The fixed amount allows for planned control of household income expenditures, and also facilitates each family to determine its ability to repay the loan based on its own income. Calculation formula for equal amounts of principal and interest: [Loan principal × monthly interest rate × (1-month interest rate) ^ number of repayment months ] ÷ [ (1-month interest rate ) ^ number of repayment months - 1 ] Calculation principle: The bank calculates the monthly payment from , the remaining principal interest is collected first, and then the principal; the proportion of interest in the monthly payment decreases as the remaining principal decreases, and the proportion of principal in the monthly payment increases due to the increase, but the total monthly payment Remaining unchanged For example: the interest rate for short-term loans (six months or more inclusive) stipulated by the central bank is now 5.10%. If you borrow 20,000 points and repay it in six months, the total interest will be 298.55 yuan, and the monthly principal and interest payment will be 3,383.09 yuan. 2. Equal principal repayment method: The principal is repaid in equal installments every month, and then the interest is calculated based on the remaining principal. Therefore, because the principal is larger in the early stage, more interest will be paid, thus making the repayment amount larger in the early stage. , and will decrease monthly in subsequent periods. The advantage of this method is that the interest expenses will be reduced due to the larger repayment in the early stage, which is more suitable for families with strong repayment ability. The formula for calculating the principal in equal installments: monthly repayment amount = (loan principal/number of repayment months) (principal - the accumulated amount of principal that has been repaid) × the monthly interest rate The formula for calculating the principal in equal installments: monthly repayment amount = per Monthly principal Monthly principal and interest Monthly principal = principal / number of repayment months Monthly principal and interest = (principal - total cumulative repayment) Decrease due to decrease in remaining principal.
Question 2: How to calculate housing mortgage loans? From the current point of view, there are two commonly used repayment methods for bank housing mortgage loans, namely: equal principal and interest repayment and equal principal repayment.
The former means that the borrower repays a fixed amount every month; the latter means that the borrower repays the principal every month unchanged, and the interest becomes less and less as the loan is repaid. However, home buyers must pay attention when choosing a repayment method: if you have a higher income, you may wish to choose equal principal repayments to save loan interest. If the borrower wants to calculate his monthly payment, he can use the following two methods:
Formula calculation
Calculation formula for monthly payment of equal principal and interest repayment: monthly payment amount = loan principal Gold monthly interest rate {[(1-month interest rate) number of repayment months]/[(1-month interest rate)^number of repayment months] C1} (Note: "^" means "several powers")
Among them: monthly interest = remaining principal × monthly loan interest rate; monthly principal = monthly payment amount – monthly interest.
Calculation principle: The bank first collects the interest on the remaining principal from the monthly payment, and then the principal; although the proportion of interest in the monthly payment decreases as the remaining principal decreases, the principal The proportion of gold in the monthly payment thus increases, but the total monthly payment remains the same.
Calculation formula for monthly repayment of equal principal repayments: monthly repayment amount = (loan principal/number of repayment months) (principal - cumulative amount of repaid principal) monthly interest rate
Give an example
Assume that Li needs to borrow 250,000 from the bank to buy a house, and the loan term is 15 years. So, what is the most appropriate way to repay the loan?
Let’s first calculate the monthly payment that Li needs to pay.
Monthly repayment of equal principal and interest = 2184.65 yuan
Number of repayment months = fraction of 30 days in a month = 15x12 = 180 months
Monthly interest rate = annual interest rate /12=6.55%/12=0.55%
The first monthly payment of equal principal repayment = 25/18025x0.55%=2763.9 yuan
And so on: the second Monthly payment = 25/180 (25-25/180) x 0.55% = 2756.25 yuan
Third month monthly payment = 25/180 (25-25/180x2) x 0.55% = 2747.9
Question 3: How to calculate the formula for house price loans? The formula: the principal and interest repayment method, that is, the loan principal and interest are repaid in equal amounts every month during the loan period. The monthly repayment calculation formula is:
Monthly repayment = loan principal × monthly interest rate × (1-month interest rate) number of repayment months/[(1-month interest rate) number of repayment months-1]
The other is The equal principal repayment method (interest follows principal repayment method), that is, the loan principal is repaid in equal installments every month, and the loan interest decreases monthly with the principal. The monthly repayment amount calculation formula is:
Monthly Repayment amount = loan principal / number of months of loan period (principal - cumulative amount of repaid principal) × monthly interest rate
Question 4: Please tell me the detailed calculation formula for personal housing loans. Nothing to do today. Come on, let me explain it to you in detail. Since the loan cannot be in the single digit, but can only be in the thousands, your loan amount should be calculated as 755,000 yuan.
1. The formula for monthly repayment of equal principal and interest is as follows:
Principal annual interest rate/12(1 annual interest rate/12)^Loan number of months/((1 annual interest rate/ 12)^Number of loan months-1)
Note:
^ means power, which means how many times it has been raised.
Then the formula is
7550006.8%/12(16.8%/12)^360/((16.8%/12)^360-1)=4922.04 yuan.
In the past 30 years, your total repayment amount is 4922.043012=1771933 yuan.
The principal is 755,000 yuan, and the interest is 1,016,933 yuan.
2. Equal principal, as the name suggests, means that the principal repaid every month is the same.
Then the principal in your monthly payment is 755000/30/12=2097.22 yuan.
The interest in the monthly payment is calculated as follows: the monthly interest rate on the principal for that month.
In the first month, your principal is 755,000 yuan, so your first month’s interest is 7550006.8%/12=4278.33 yuan.
Including the principal, your first monthly payment is 6,375.56 yuan.
In the second month, your principal is 755,000 yuan - 2,097.22 yuan = 752,902.78 yuan.
Then your interest for the second month is 752902.786.8%/12=4266.45 yuan.
Adding the principal, your second monthly payment is 6363.67 yuan.
About 12 yuan less than the first month.
In the third month, your monthly payment is 6351.79 yuan.
In the fourth month, your monthly payment is 6339.90 yuan.
In the fifth month, your monthly payment is 6328.02 yuan.
The algorithm will be the same every month in the future.
3. I did some calculations. If you repay the principal in equal amounts, the interest you will pay in the entire 30 years will be 772,239.17 yuan.
Using the method of equal principal and interest just calculated, your interest for the entire 30 years is 1,016,933 yuan
4. The final interest difference is that equal principal and interest are about 244,693 yuan more than equal principal. .
Question 5: How to calculate the monthly payment for buying a house with a loan 1. Policies about loans.
There are many policies, but I will mainly tell you about some of the more common situations.
< p> 1. First of all, let’s deal with the issue of loan amount. For your first house, you can borrow 70% of the total price of the house, which is 30% of the total down payment.If it is a second-hand house, the transaction Among them, there are taxes, comprehensive tax, personal income tax, assessment fees, etc.
Originally, these taxes were borne by both parties to the second-hand housing transaction (we hope this is the case.)
p>However, in the current second-hand housing transaction market, there is such an unspoken rule that all taxes are borne by the buyer. For a house worth 2 million, the taxes and various fees that need to be paid when buying a house. Nearly more than 200,000, and this must be paid off during the down payment. In other words, for example, if you buy a 2 million second-hand house, the original down payment is 20,030% = 600,000, but you have to pay it out in one go 6020 (tax) = more than 800,000. This is something that everyone should pay attention to when buying a second-hand house.
For an individual’s second house, the loan amount is 60%. That is, the down payment must reach 40 %.
One thing to remind you here is that you cannot apply for a loan for a house built before 1985. When buying an old house, be careful! For example, a 40W house in 1984, You have to pay 40W in one lump sum, and there is no possibility of any loan.
Second, the annual interest rate of the loan.
The latest annual interest rate of the loan in 2008 is as follows:
< p> Category itemsAnnual interest rate (%)
1. Short-term loan
Within six months (including six months) 6.57
< p> Six months to one year (including one year) 7.472. Medium and long-term loans
One to three years (including three years) 7.56
Three To five years (including five years) 7.74
Over five years 7.83
3. Discount
The discount is determined by adding points as the lower limit of the rediscount rate
Based on the annual interest rate standards promulgated by the above countries, most banks will now give customers certain discounts. The limit of the discount is: the annual interest rate is reduced by 15%. For example, a 20-year mortgage loan, that is, the annual interest rate for more than 5 years is: 7.83%, the bank can calculate it based on your interest rate of 6.65%.
Everyone has an idea of ??this. Most banks will provide it proactively. If they don’t tell you, you can ask if it has been done. Decrease by 15%.
3. Types and calculation methods of monthly payments.
There are two types of monthly payments: equal principal repayment and equal principal and interest repayment.< /p>
First of all, let’s explain what is included in loan repayment.
Total loan repayment = loan principal and loan interest. I believe everyone has no problem with this. It is the so-called principal with interest!< /p>
Let’s explain these two situations:
The equal amount of principal, in layman’s terms, means the monthly repayment of an equal amount of principal plus the interest for that month. In other words, your loan The total principal is divided into certain equal parts. The number of parts is the number of months in the life of your loan. For example, if you borrow 20W and repay it in 20 years, then the equal monthly principal is: 200,000/20 years December. In this way, the monthly equal principal amount has been clarified. Then there is the issue of monthly interest. In the equal principal amount method, the monthly interest is different. Because monthly interest = remaining principal of the month Monthly interest rate. As you repay a certain amount of principal every month, the remaining principal will become less and less every month, so the interest generated will also be less and less.
Equal principal payments every month Payment = equal monthly principal amount Current monthly interest = equal monthly principal amount (monthly interest rate on the remaining principal of the month)
Among them, monthly interest rate = annual interest rate/12
Therefore, equal principal amount With this repayment method, the amount paid each month is different. It will be higher in the first few months and less in the later months. Until the last month, the principal will be 0 and the interest will also be 0.
< p>Equal principal and interest, in layman’s terms, means that the principal and interest repaid every month are the same. That is, the amount repaid every month is the same. The calculation method of this thing is relatively complicated.I just provide you with a calculation formula here, for those who are interested
Friends can do the calculation.
A=P{i(1i)^n/[(1i)^n-1]} (n is the index)
A: Every month Contribution
P: Total payment amount
i: Monthly interest rate (annual interest/12)
n: Total number of months of payment (year × 12)
Example: When purchasing a house worth 500,000 yuan, the first installment was sold for 150,000 yuan. The payment is 3...
Question 6: How to calculate the loan for buying a house is generally common There are two types, both are long-term loans, divided into fixed principal and interest and fixed principal. The fixed principal and interest means that if you repay less principal at the front, you will get more interest, and if you repay more principal later, you will get less interest. There are calculation tools online. Once you find it, you can directly input and calculate your principal and interest. This kind of borrowing method means that the monthly payment amount is the same, but the entire payment is the same. The total interest during the loan process is higher, and early repayment is disadvantageous. The fixed principal means that the principal is the same every month, and then the monthly interest is calculated by multiplying the unpaid principal by the interest rate/12. It is easy to calculate it by yourself with EXCEL. This kind of borrowing method has the same principal and the interest gradually decreases, and the front-end repayment pressure is high. There is little back-end pressure, the total interest in the entire loan process is small, and you can repay it at any time.
In addition, some small banks that are rarely used have launched rolling loans. The actual loan is for 30 years, but it can be re-signed (that is, re-borrowed again) every three years. This kind of interest rate is relatively low, but the operation It's a bit more troublesome, and not all banks can do it.
For reference!
Question 7: How to calculate the mortgage for buying a house? Your interest rate should be 7.05%, and the monthly payment is 2,272 yuan. Loan for 25 years = 300 months (term)
You are using the equal principal and interest method. The principle of this algorithm is: the money you borrow from the bank = the money you repay the bank
First Calculating the money you borrowed from the bank, you borrowed 320,000, then
One month later, the money you borrowed became 320,320,000 7.05%=320000 (17.05%)
< p> After 2 months, the borrowed money became 320,000 (17.05%)^2 (^2 means square)After 3 months, the borrowed money became 320,000 (17.05%)^ 3
?
After 300 months, the borrowed money has become 320,000 (17.05%)^300
Then count the money you repay,
p>Pay back 2272 in the first month,
Pay back 2272 in the second month, and the money in the first month becomes 2272 (17.05%)
Pay back in the third month 2272, the second month’s money becomes 2272 (17.05%), but the first month’s money becomes 2272 (17.05%) ^2
?
The 300th The monthly payment is 2272, and the money in the 299th month becomes 2272 (17.05%)? The money in the first month becomes 2272 (17.05%) ^299
When the loan is paid off, you borrow the bank's Money = the money you pay back to the bank, so there are
320000 (17.05%)^300=2272 (17.05%) 2272 (17.05%)^2?2272 (17.05%)^299
< p> Treat any of the numbers as a variable and you can find its value, but it cannot be calculated with an ordinary calculator. You need to use a financial calculator or an online mortgage calculator.Yes, banks make profits in this way. For a 25-year loan, the interest you pay is higher than the principal, so you should repay it as early as possible to reduce interest payments.
Question 8: How to calculate the housing loan period? The couple is getting divorced. They currently have a house (the house is a second-hand house) and a car. The original homeowner first entrusted a third party to sell the house as an agent, and signed a house sales contract with the man. After that, the original homeowner issued a transfer and authorization. Both the transferee and the trustee were the man. Afterwards, the couple registers their marriage. After the marriage, the house transfer procedures were completed and a loan was obtained. When the house was transferred, the bank still had a loan of RMB 250,000 that had not been repaid. After the transfer, the housing loan was increased to 450,000, with the house as a mortgage. Of the extra 200,000 yuan, 180,000 yuan was used to buy a car and 20,000 yuan was used for daily expenses. The house was worth 500,000 yuan when purchased and transferred, and is now worth 1 million yuan. The vehicle is now worth $100,000. After the loan, *** will repay the principal of 100,000 yuan and the interest of 150,000 yuan.
The real estate certificate is in the man's name, the borrower is the man, and the woman is the co-mortgagor. There is relevant evidence for the above. Question 1: Except for the repayment part of the contract, can the property be recognized as the man’s pre-marital property? Reasons and basis. Question 4: Does the amount of down payment for real estate before marriage affect the distribution of real estate? There was an appraisal of the house at the time of transfer.
Question 9: How is the house loan calculated? Please give me some advice. The total amount is 687,500 yuan. If your down payment is at least 30%, the down payment should be 206,250 yuan, and the total loan amount is 481,250 yuan. Round the whole number to calculate the down payment: 2062501250 = 207500 yuan. The total loan amount is 480,000 yuan.
If the bank loan has a benchmark interest rate of 6.55%
For 10 years, the monthly payment will be more than RMB 5,460. 655,500 yuan with principal and interest, and the interest amount is 175,500 yuan.
In 15 years, the monthly payment is about 4,200, including principal and interest of 755,000 yuan, and the interest is 275,000 yuan.
If the loan interest rate can be discounted by 8.5%. 5.22% interest rate
The monthly payment for a 10-year loan is around 5,150, including principal and interest, which is around 617,000, and the interest is around 137,000.
For 15 years, the monthly payment is around 3,850, with principal and interest. The interest rate is about 690,000, and the interest is about 213,000.
The interest rate discount depends on whether the loan bank has a discount.
The monthly payment depends on the repayment ability of the two of you and the down payment ratio.
Generally speaking, the larger the down payment and the shorter the loan term, the less interest you pay and the monthly payment will not be high.
The lower the down payment and the longer the loan term, the more interest you will pay, but the monthly payment will not be much.
Question 10: How to calculate real estate mortgage loan Hello! The interest payable on real estate mortgage loans is calculated based on your loan amount, loan term and an annual interest rate of 4.9% (more than five years). Suppose you take a loan of 1 million yuan and the loan term is 10 years. The interest you should pay is:
1000000x4.9%x10=490000 (yuan)
How to calculate the mortgage loan?
The specific calculation method is as follows:
Take 200,000 and 20 years as an example.
The bank loan interest rate is based on a comprehensive evaluation of the credit situation of the loan. The loan interest rate level is determined based on the credit situation, collateral, national policies (whether it is the first home), etc. If the evaluation is good in all aspects, different banks will The mortgage interest rates implemented are different. Under the current policy, the first home loan is generally calculated according to the benchmark interest rate:
1. The adjusted interest rate on July 7 is 7.05% for a term of more than five years, and the monthly interest rate is 7.05%/ 12.
2. Monthly repayment amount of 200,000 for 20 years (240 months).
3. 2000007.05%/12(17.05%/12)^240/[(17.05%/12)^240-1]=1556.61 yuan.
4. Explanation: ^240 is 240th power.
Extended information:
Mortgage monthly payment conditions and procedures:
What people are most concerned about when it comes to home purchase loans are the conditions and procedures. First of all, the information required to apply for a home purchase loan is :
1. Original and 3 copies of the identity cards and household registration of the applicant and his/her spouse (if the applicant and his/her spouse do not belong to the same household registration, additional proof of marriage relationship must be attached).
2. Original house purchase agreement.
3. An original and a copy of the receipt for advance payment of 30% or more of the room price.
4. Documents proving the applicant’s family income and relevant assets, including salary slips, personal income tax returns, income certificates issued by the unit, bank deposit certificates, etc.
5. One copy of the developer’s payment account number.