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Calculation formula. Monthly repayment amount = [Loan principal Monthly interest rate.
1+Monthly Interest Rate) Number of Repayment Months] [1+Monthly Interest Rate) Number of Repayment Months 1].
Derivation of the repayment formula.
If the total amount of the loan is A, the monthly interest rate of the bank is , the total number of installments is m (months), and the monthly repayment amount is set to X, then the bank loan owed for each month.
For: first month a(1+)x
2nd month(a(1+)x)(1+)x=a(1+)2-x[1+(1+)
3rd month((a(1+)x)(1+)x)(1+)x = a(1+)3-x[1+(1+)1+)2]....
From this, the bank loan owed after the nth month is a(1+)n x[1+(1+)1+ )2+....+1+β)n-1)]= a(1+β)n –x[(1+β)n - 1]/β
Since the total repayment period is m, that is, all the bank loans have been repaid in the first month of m, so there is a(1+ )m x[(1+)m - 1] = 0
This gives x = a (1+ )m [(1+ )m - 1].
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1,000,000 yuan, 10 years, equal principal and interest repayment, interest is yuan. The principal amount remains unchanged. The monthly repayment is $.
The formula for the monthly repayment of equal principal and interest is as follows: You can calculate it by substituting the number.
Principal * APR 12 * (1 + APR 12) Number of Loan Months ((1 + APR 12) Number of Loan Months - 1).
Note: It means power, which means how many powers.
The interest on the equal principal repayment method is RMB. The principal remains unchanged, and the monthly repayment amount varies. If you can make a lot of money now, this method is suitable for you, because you can save tens of thousands of yuan in interest.
As the name suggests, the principal repaid is the same every month.
Then the principal in your monthly payment is 1000000 10 12 = yuan.
The interest in the monthly instalment is calculated as follows, the principal amount of the current month * the monthly interest rate.
In the first month, your principal is 1,000,000 yuan, so your first month's interest is 1,000,000*.
With the principal, your first monthly payment is 14,000 yuan.
In the second month, your principal is 1,000,000 yuan = yuan.
Then your second month's interest is Yuan.
Then your repayment amount for the second month is RMB.
The same is true for the following months.
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It can be paid off immediately.
Your monthly payment includes the repayment of principal and interest, so you have already repaid part of the principal in these 6 months. You can use the financial calculator to calculate the principal you have repaid in these 6 months; Then calculate the interest that needs to be repaid from the last deduction date to the day you want to make an early payment. The sum of the two is the total amount of cash you need to make a lump sum payment right now.
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In the first 6 months, you have already repaid more than 4,000 principal, and there is still about 295,000 principal, and you only need to pay off the remaining principal in one go.
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The calculation formula is: Equal principal and interest monthly repayment amount = monthly interest rate * loan principal * (monthly interest rate + 1) number of repayment months + monthly interest rate) number of repayment months - 1.
The total principal amount of the mortgage loan is added to the total amount of interest, and then evenly spread over each month of the repayment period, and the monthly repayment amount is fixed, but the proportion of principal in the monthly repayment amount increases month by month, and the proportion of interest decreases month by month. This method is the most common and has been recommended by most banks for a long time.
The equal principal and interest repayment method means that the borrower repays the principal and interest of the loan in equal amounts every month, in which the monthly loan interest is calculated based on the remaining loan principal at the beginning of the month and settled month by month.
The equal principal repayment method means that the borrower repays the loan principal at the same amount (loan amount and number of loan months) every month, and the monthly loan interest is calculated based on the remaining loan principal at the beginning of the month and settled month by month, and the total of the two is the monthly repayment amount.
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First, the front. For a mortgage with equal principal and interest repayment, the monthly repayment amount is calculated as follows: monthly repayment amount (principal + interest) = [loan principal monthly interest rate (1 + monthly interest rate) number of repayment months] [1 + monthly interest rate) number of repayment months 1].
2. Specific analysis.
In this way, you can be sure that the monthly payment will be the same throughout the repayment period.
Of course, although the monthly repayment amount is the same, the proportion of principal and interest in it is constantly changing.
In the early stage of repayment, the interest accounts for a larger proportion, and with the continuous repayment, the interest is almost the same, and in the later stage of repayment, the principal accounts for a larger proportion.
It should be noted that since the first month of the mortgage is generally calculated from the loan date to the first repayment date, the interest is usually calculated according to the actual number of days, rather than the natural month, so the monthly ** repayment amount of the first month of the mortgage may be different from the after.
In short, just pay the amount shown on the monthly bill sent by the handling bank.
If the mortgage adopts the equal principal repayment method, the total amount of the loan will be equal to the fee, and the same amount of principal and interest accrued on the remaining loan will be repaid every month.
You can clearly understand the problems existing in your big data on Xiaoqixincha. It is an efficient, accurate and complete big data system, which cooperates with more than 2,000 online lending platforms to provide accurate and comprehensive data.
3. How long does it take to wait for the loan to be disbursed after the mortgage is approved?
After the mortgage is approved, just wait for the bank to release the loan, and the loan funds will generally be released within one to two months.
Sometimes, when the bank is short of funds or delayed, it may take longer, maybe about three to four months to receive the loan funds.
Sometimes there are a large number of people queuing up for loans, waiting for loans, and even longer time, and there have been applications for housing loans that have not been disbursed after half a year.
For example, in the case of applying for a mortgage at the end of the year, due to the shortage of bank funds at the end of the year and the bank's year-end settlement, it is difficult to disburse the loan before the year.
Of course, the bank will generally send a message notification when the loan arrives, if you don't receive the news for a long time, the mortgage has been in the process of lending, you can take the initiative to consult the bank's customer service, so that the other party can lend as soon as possible.
In order to avoid disputes caused by real estate developers who have not been able to receive the house payment, it is necessary to explain the situation with the developer, and the two parties should negotiate well to avoid unnecessary disputes.
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Summary. Dear, glad to answer for you! The best time to repay equal principal and interest is the best repayment before 1 3 of the repayment period, the interest accounts for the majority, and the later it is, the greater the proportion of the principal, that is, if there are 30 installments left, the basic part behind is the principal, and there is not much point in early repayment; If you have already repaid 2 3 of the repayment period, don't advance it; If it's before 2 or 3, you can consider it early, the sooner the better.
Dear, glad to answer for you! The best time to repay equal principal and interest is the best repayment before the repayment period of 1 3, the interest accounts for the majority, the later the principal accounts for a larger proportion, that is to say, if there are 30 installments left, the back is basically the principal, and early repayment does not make much sense of bringing big; If you have already repaid 2 3 of the repayment period, don't advance it; If before 2 or 3, you can consider socks in advance, the earlier the more friendly.
Equal principal and interest refers to the repayment method of a loan, which means that "the sum of the principal and interest repaid each month is unchanged, but the proportion of the principal and interest leakage is constantly changing".
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The sooner the equal principal and interest are repaid, the more cost-effective it is, as long as the early repayment time is before the repayment period 1 2.
1. Equal principal and interest is a repayment method, during the repayment period, the repayer should repay the same amount of principal and interest every month; In layman's terms, it means that the monthly repayment amount of the repayer is fixed, in which the ratio of principal and interest changes, but the sum of principal and interest remains unchanged.
2. The most important thing to pay attention to in credit card repayment is the repayment time, many people will choose the most repayment date after the round of the book, it is recommended that the card owner should repay a few days in advance, if the repayment date has not been repaid, or the repayment is delayed, etc., it may be overdue. Generally, the bank will give a time limit of about 3 days.
Occasionally, I am afraid of using unreliable methods to repay, or encountering software or system maintenance for repayment, once the repayment date is not repaid and returned, there is a possibility that the repayment will be overdue. Of course, this situation is relatively rare, and it is mainly prevention.
3. Pay interest on a monthly basis and repay the principal when due. Only interest is paid each month, and the loan principal is repaid in a lump sum when the loan matures. Scope of application:
It is suitable for short-term loans, suitable for borrowers who usually have no cash inflow or little cash flow, such as engineering, planting and aquaculture. Pros: For borrowers to come.
In normal times, Zifan has no repayment pressure and can fully use the funds for business projects. Disadvantages: For lenders, this type of loan is riskier than the monthly repayment method.
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Calculation formula. Monthly repayment amount = [Loan principal Monthly interest rate (1 + monthly interest rate) Number of repayment months] [1 + monthly interest rate) Number of repayment months 1].
Derivation of the repayment formula.
If the total loan amount is A, the monthly interest rate of the bank is , the total number of installments is m (months), and the monthly repayment amount is set to X, then the bank loan owed for each month is:
1st month a(1+)x
2nd month(a(1+)x)(1+)x=a(1+)2-x[1+(1+)
3rd month((a(1+)x)(1+)x)(1+)x = a(1+)3-x[1+(1+)1+)2]....
From this, the bank loan owed after the nth month is a(1+)n x[1+(1+)1+ )2+....+1+β)n-1)]=a(1+β)n _x[(1+β)n - 1]/β
Since the total repayment period is m, that is, all the bank loans have been repaid in the first month of m, so there is a(1+ )m x[(1+)m - 1] = 0
This gives x = a (1+ )m [(1+ )m - 1].
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1. The calculation formula is as follows:
Monthly equal monthly principal and interest payments:
r: monthly interest rate.
n: the number of repayment periods.
Wherein: number of repayment periods = loan tenure 12
2. For example, if a commercial loan is 200,000 yuan and the loan term is 15 years, the monthly repayment of principal and interest in equal amounts is:
The monthly interest rate is, the number of repayment periods is 15 12 = 180 (months), that is, the borrower repays the bank every month, and after 15 years, the principal and interest of the loan of 200,000 yuan will be fully repaid.
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The formula for calculating the monthly repayment amount of equal principal and interest repayment is: monthly repayment amount = loan principal * [monthly interest rate * (1 + monthly interest rate) number of repayment months]. Suppose you borrow 10,000 yuan, the loan term is 2 years, the annual interest rate is, the monthly interest rate is, and the monthly repayment should be 10,000 [24] = according to the equal principal and interest repayment method.
In the equal principal and interest repayment method, the monthly repayment amount remains unchanged, and the interest in the monthly repayment amount decreases month by month, and the principal amount increases month by month. That is to say, the interest accounts for a large proportion of the monthly repayment amount in the early repayment and the principal proportion is small, and the interest accounts for a small proportion of the monthly repayment amount in the later repayment and the principal accounts for a large proportion.
Therefore, the equal principal and interest repayment method is not conducive to early repayment, because there is a lot of interest in the early repayment, and it is not cost-effective to apply for early repayment in the later stage, but the equal principal and interest repayment is the same monthly repayment, and the repayment pressure in the early stage is relatively smaller than that of the equal principal, which is suitable for office workers with a fixed monthly income.
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Calculation formula: monthly repayment amount = (loan principal and number of repayment months) + (loan principal - accumulated amount of repaid principal) monthly interest rate.
Monthly principal repayment = loan principal Number of repayment months;
Monthly interest payable = remaining principal Monthly interest rate = (loan principal - accumulated amount of principal repaid) monthly interest rate;
Monthly Monthly Repayment Reduction Early Payment = Monthly Principal Repayment Monthly Interest Rate = Loan Principal Number of Repayment Months Monthly Interest Rate;
Total Interest = (Total Loan Amount Number of Repayment Months + Total Loan Amount Monthly Interest Rate) + Total Loan Amount Number of Repayment Months (1 + Monthly Interest Rate) 2 Number of Repayment Months - Total Loan Amount.
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Summary. Equal principal and interest refers to the repayment method of a home loan, which is to repay the same amount of loan (including principal and interest) every month during the repayment period. The calculation formula is as follows:
Loan Principal Monthly Interest Rate (1+Monthly Interest Rate) Number of Repayment Months] [1+Monthly Interest Rate) Number of Repayment Months 1].
Equal principal and interest refers to a repayment method of a home loan, which is to repay the same amount of loan (including principal and interest) every month during the repayment period. The calculation is as follows: [Loan Principal Monthly Interest Rate (1+Monthly Interest Rate) Number of Repayment Months] [1+Monthly Interest Rate) Number of Repayment Months 1].
How to calculate the number of repayments.
formula.
The number of repayments is the number of years of repayment.
If it is 15 years, then the number of repayments is 15 12 = 180 times.
Why multiply 12?
12 months a year.
Loans are all calculated on an annual basis, and repayments are made on a monthly basis.
Thank you, Senpai. If you are satisfied, give a thumbs up to your senior sister. ❤
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