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Calculate bank loan. How to calculate the monthly loan payment? Annuity method for calculating monthly payments

How to calculate the monthly payment on a loan is one of the most pressing issues among borrowers. Lending is becoming more and more popular. Mortgages, consumer loans, car loans differ in the size of the discount rate, the time period and the amount of lending.

They have a different principle for calculating monthly payments. They offer several options for calculating monthly payments on the loan amount. First is to find out the monthly payment using the calculation online. Second– determine the monthly payments yourself using the formulas (will be given below).

What is a monthly loan payment?

A loan has two important characteristics - payment and repayment. Payability means that for the provision of funds, the borrower is obliged to pay the interest specified in the loan agreement for the loan amount. In addition to accrued interest, the borrower must repay the full amount of the loan by the due date.

The deadline for payment of the amount of payments is an important feature of any loan agreement. The combination of interest and volume of lending is the basis for calculating repayment payments.

What components are required in order to correctly calculate the monthly payment:

  1. Loan amount.
  2. Accounting percentage.
  3. The time period of the loan.
  4. Payment schedule.
  5. banking year. Each financial institution sets its own figure - 360 days or 365 (in a leap year - 366).


How are monthly loan payments calculated?

The calculation formula under any circumstances is based on the amount specified in the agreement and the schedule issued after the signing of the contract. The amount of credit and the schedule is determined by the specialist of the financial institution. You receive the amount of payments by calculating them yourself using a loan calculator provided on the official website of each financial institution, or by calculating using a formula.

Self-calculation using formulas

To facilitate these formulas are provided on many sites. You can pay either in annuity payments (the same throughout the entire period), or differentiated payments (the principal amount is divided into equal shares, and the discount percentage is reduced - the amount of payments is not the same).

Calculation of monthly payments on the official website of the bank


If the client is not suitable for self-calculation using formulas, he can use a calculator. He will act as an assistant and help you calculate payments for paying off a loan. The calculations given by the online calculator are approximate. The potential client enters the approximate time period for the loan, the discount rate and the type of payments. Insurance costs and bank support of the transaction may be added to the issued calculation.

Online calculator

Annuity method for calculating monthly payments


Equal parts of the principal amount of the loan are called annuity. This method is the most popular and in demand. Here the first half of the payments is the accrued interest, the second half is the repayment of the principal debt.

The interest accounting scheme in this case is the most transparent. The benefit to the client is high. But financial institutions tend to this method.

The formula for calculating the annuity can be depicted as follows: payment (A) consists of the amount of credit (B) multiplied by the value. The number of months (M) and the discount rate (P1 / 12), since there are twelve months in a year. It turns out - A \u003d K * (P / (1 + P) -M-1). Such a formula can be used for consumer loans and mortgage lending.

Annuity method example

We have a loan amount of 300,000 rubles, a loan period of 6 months, and an annual discount rate of 9%. First you need to calculate the final amount of the monthly loan. 300000*(0.00075+(0.00075/(1+0.00075)-(6-1)) = 32189 rubles.

Be sure to use not the whole discount percentage, but its 12th share.

Interest on annuity payments

It is possible to calculate the interest in rubles on the installment for the repayment of a loan. Here the balance of the debt and the annual interest will be taken.

Here is the complete list of steps:

  1. For the first month - 300,000 * (0.09 / 12) = 2250, the main debt - 32189 - 2250 = 29939 rubles.
  2. For the second month - 300000 - 29939 \u003d 270061, the percentage component - 270061 * (0.09 / 12) \u003d 2025.46, the main debt - 32189 - 2025.46 \u003d 30163.54 rubles.
  3. For the third month - 270061 - 30163.54 = 239897.46, the percentage component of payments - 239897.46 * (0.09 / 12) = 1799.23, the main debt comes out - 32189 - 1799.23 = 30389.77 rubles.

Differentiated method for calculating monthly payments

It is considered correct that a decrease in the amount of debt, and there is a differentiated payment of monthly payments. Such a payment consists of a fixed amount and a variable one, which decreases gradually. To calculate the differentiated payment, you need to take the amount of the contribution, the discount percentage and the months for which the loan was issued.

Calculation formula - what does it look like?

The value of the maximum payout will be required.

P (main installment) \u003d P (loan amount) / M (loan months). We find the accrued interest (H) by multiplying by the residual debt on the loan (O) by the discount rate (Pr). Then we divide the result by 12 (there are only twelve months in a year - a constant), it turns out - H \u003d O * Pr / 12.

The balance of the loan (O) is found as follows - O \u003d P - (P * K (how many periods have passed)).

Differential method example

The loan amount is 240,000 rubles for six months at a rate of 9%. The main contribution will be 240,000/6 = 40,000 rubles.

Payments after registration of the agreement in each month:

  1. For the first month - 40000+(240000-40000*0)*0.09/12 = 41800 rubles.
  2. For the second month - 40000+(240000-40000*1)*0.09/12 = 41500 rubles.
  3. For the third month - 40000+(240000-40000*2)*0.09/12 = 41200 rubles.

Which of the methods of calculating interest should be chosen?


Many banks in the Russian Federation issue loans with an annuity type of calculation. Financial structures are adherents of this type, since discount interest will be charged on the principal amount of debt at the initial stage.

The differentiated method has its drawbacks: this method is used less often by banks, the first payments will be high and approval for an application for this type of payment is more difficult to obtain. A potential client must have a consistently high level of income.

A differentiated type should be chosen by those clients who want a large amount of money for a long period exceeding five years. For mortgage lending, this is a good choice.

The client will be able to significantly reduce the overpayment. But if lending takes less than 5 years, then the overpayment will not be significant. It is easier to find an option with a lower interest rate and choose an annuity type.

How to calculate the overpayment on the desired loan?

Every borrower wants to save money and pay as little as possible. When choosing an annuity type, you need to calculate the coefficient. Then the monthly installments are calculated. The size of the final contribution: M (period) * P (payment). The overpayment is the difference between the amount of the installment and the principal amount of the loan.

If the type is differentiated, then the amount of interest per month, the amount of payment per month, the value of the rate in the first and last month of lending, and the average amount of interest per month will be required.

This information can be provided to you by the lending bank. The overpayment in this case is the duration of the agreement period (months) multiplied by the average value of interest per month.

Special features of calculating monthly payments

Calculation of payment per month is possible in two ways - annuity and differentiated. In the first case - throughout the entire term of the loan, the same contributions. In the second case, payments are initially high, then they decrease. Many banks prevent the client from paying off the loan ahead of schedule. In this case, they set credit holidays.

Mortgage credit lending

Mortgage is a long-term type of lending with a large amount of issue. Here it is worth using a differentiated type. Payouts will be less. But the client must prepare a certificate of high income every month.

Early repayment will imply a uniquely annuity type (by agreement of the parties). Many banks draw up a large amount of cash using the annuity type.

Auto loans

Car loans are not for the long term. Here you need to prepare an initial deposit. When calculating monthly payments, it is worth considering insurance (hull insurance in most cases, less often - OSAGO) and banking support for the transaction.

How to calculate payments if the client has a credit card?

What should be taken into account when calculating monthly payments if the client uses the card:

  1. Availability of an interest-free period. This period allows a potential client to use funds without accruing%. Usually the period is from 30 to 100 days. Depends on the chosen structure.
  2. Payment per month. It is necessary to pay 5-15% of the principal amount of the debt + discount interest (up to 40% per year).

conclusions

Without fail, before you go and apply for a loan, calculate and compare monthly payments in different banking structures. Only if there are real numbers can a conclusion be drawn. You will evaluate your capabilities and understand whether this lending is within your power or it is better to wait.

Video

With the help of a loan calculator, you can independently, online, calculate regular loan payments and determine which repayment system will be optimal. Simple formulas help you understand how much money you send to pay off debt, and how much you pay for using borrowed funds as interest. You can check your results with a simple calculator.

An online loan calculator allows you to calculate annuity and differentiated payments. Annuity payments are made every month in equal parts, consisting of the loan amount and interest on it. With differentiated payments, monthly payments are consistently reduced, since interest is charged only on the outstanding part of the loan. Most commercial banks practice annuity, and Sberbank of Russia offers a differentiated form.

Differentiated payment

With a differentiated scheme, the amount of payments at the beginning is much larger than the final ones. The difference is explained by the fact that payments consist of two parts:

  • fixed - the amount of debt repayment;
  • descending - percent of the remaining amount.

The ever-decreasing second part reduces the amount of monthly payments. The formula by which you can determine the size of the fixed part is extremely simple: you need to divide the loan amount by the number of months of the loan:

OD = SC / KP

(OD - principal debt; SC - loan amount; CP - number of periods)

Further calculations are somewhat more complicated, since two approaches are used. Some banks assume that there are 12 months in a year and calculate the loan interest using the formula:

NP = OK × PS / 12

(NP - accrued interest, OK - loan balance, PS - annual interest rate)

Other banks prefer taking into account that there are 365 days in a year, considering this approach more accurate. Calculation formula:

NP \u003d OK × PS × NIM / 365

(NP - accrued interest; OK - loan balance; PS - interest rate for the year; NIM - number of days in a month (ranges from 28 to 31).

Calculation example

With a loan of 100,000 rubles taken for a year, the payment schedule according to the formula, taking into account 12 months and 20% per annum, is as follows:

Annuity payment

The amounts of payments under the classical system are repeated monthly, and can only be changed in case of early repayment of the loan or by agreement with the bank. As in the previous case, the installments consist of the principal repayment and interest on the loan. The ratio of these components changes over time: the interest part decreases, and the loan repayment amount increases. Thus, the interest on annuity payments is higher than on differentiated payments. This is explained by the fact that interest is charged on the balance of the amount, and it decreases slowly. The difference is especially noticeable if the loan is repaid ahead of schedule, because in the first installments a significant part of the amount falls on interest.

Formula for calculating payment:

AP = SC × PS / 1 − (1 + PS) - CP = SC × PS / 1 / (1 + PS) CP = SC (PS × (PS + PS / (1 + PS) CP - 1

(AP - annuity payment; PS - interest rate; SC - loan amount; KP - number of periods).

With monthly payments, the KP in this formula is the number of months for which the loan is scheduled, PS is 1/12 of the annual interest rate.

This formula is a classic, most banks use this particular scheme.

Calculation example

Consider the payment schedule for a loan taken for 12 months in the amount of 1,000 rubles. In some banks, the first loan payment is not an annuity, in this case the formula for calculating looks like this:

AP = SC × PS / 1 − (1 + PS) 1 − CP = SC × PS / 1 − 1 / (1 + PS) CP-1 = SC × (PS + PS / (1 + PS) CP-1 − one)

(AP - annuity payment; PS - interest rate; SC - initial loan amount; CP - number of periods).

The first period of payment of the loan may be full or incomplete, and in this case it is not an incremental one. If the period is incomplete, the down payment may be less than the annuity, but with high interest rates, a full period of 31 days and a long-term loan, it is quite possible that it will exceed the established amount.

Sometimes banks apply the formula with the first and last non-annuity payments:

AP = SC × PS/1 − (1 + PS) 2 − CP = SC × PS / 1 − 1 / (1 + PS) CP-2 = SC (PS + PS / (1 + PS) CP-2 − 1 )

When calculating according to this formula, the first and last installments are not annuity, that is, only interest must be paid in the first month, and balances in the last. Thus, banks try to adjust the amount of payments to an integer, as a result, there is a “tail” that goes to the last payment. In case of early repayment, the reduced amount of the balance also changes the size of the "tail", which can increase or decrease.

According to the last formula, the payment is the largest, and according to the classical first formula, the smallest. The difference becomes especially noticeable if the amount of payment remains minimal by the final settlement. This is important when repaying a loan early.

Which scheme is more profitable?

  • With an annuity, the amount of payments does not change, and with a differentiated scheme it constantly decreases.
  • A differentiated system involves larger payments at the beginning of loan repayment.
  • For borrowers, an annuity is usually more convenient, since the amount of payments is clear and defined for the entire term of the loan.
  • With a differentiated scheme, income should be 25% higher than with an annuity.
  • The principal debt with an annuity decreases slowly, and the interest on the loan is high. Early repayment of the loan results in the loss of interest already paid.
  • The differentiated system is not associated with the loss of interest, even if the loan is repaid ahead of schedule.
  • Getting a loan under a differentiated scheme is much more difficult, as banks are trying to make sure that the borrower is solvent. A large income is needed so that the borrower has the opportunity to make increased payments at the beginning of the loan repayment.

The loan calculator calculates monthly payments, loan interest, commission and insurance payments. A payment schedule is drawn up with an indication of the amounts of payments taken into account. The loan calculator can calculate payments by the annuity or differentiated method. The totals on the right display the amount of the monthly payment, interest overpayment, overpayment including commissions, and the total cost of the loan.

Pay special attention to the Effective Interest Rate, which, taking into account additional commissions and insurances, can be significantly higher than that offered in the loan agreement.

Loan calculator settings

Calculation method
It is possible to calculate the loan and payments, both by the Loan Amount, and by the Purchase Cost and down payment. When calculating a loan based on the Purchase Price, the amount of the loan is calculated first, and interest and commissions on the initial payment are not charged.

Choice of loan currency
The loan calculator can calculate a loan online in one of 3 currencies: rubles, dollars or euros.

Credit term
By default, the loan term must be entered in months. You can also enter the term in years, but you must change the type of the loan term.

Interest rate
Traditionally, the interest rate is calculated on the basis of interest/year. By changing the settings of the loan calculator, you can calculate payments based on the monthly interest rate.

Payment type
Typically, banks use the annuity method for calculating loan payments (equal monthly payments) to calculate a loan. However, the second option is also possible - differentiated payments (accrual interest on the balance). Using the drop-down menu, select the type of payment calculation you need. For more information about the types and methods of calculation, see the annuity calculator or differentiated payment calculator sections.

Additional settings

Issuance fee
One of the conditions for issuing a loan by many banks is the payment of the Commission upon issuing or for issuing a loan. The loan calculator can include such a fee in the total cost of the loan and, if necessary, break the fee into monthly payments.

Monthly commission
Taken into account in the total cost of the loan and in monthly payments

Insurance
Credit insurance is an additional monthly commission option. As a rule, banks do not include insurance in the monthly payment schedule and charge a similar commission on the basis of an additional agreement. However, the total cost of the loan received can increase significantly. The online loan calculator takes into account the monthly insurance in the total cost of the loan and in the amount of the monthly payment.

Last installment
One of the options for a loan is a loan with a final installment. When calculating such a loan, the monthly payment is lower due to a decrease in payments on the principal debt. However, interest on the last installment is also accrued and taken into account in monthly payments.

date of issue
By default, the current date is used, but you can choose any convenient date. The function is convenient when working with the payment schedule.

First payment date
Initially, the current date is used, for the convenience of working with the payment schedule, select the required one.

Excel is a universal analytical and computing tool that is often used by lenders (banks, investors, etc.) and borrowers (entrepreneurs, companies, individuals, etc.).

The functions of the Microsoft Excel program allow you to quickly navigate in tricky formulas, calculate interest, payouts, and overpayments.

How to calculate loan payments in Excel

Monthly payments depend on the loan repayment scheme. There are annuity and differentiated payments:

  1. An annuity assumes that the client contributes the same amount every month.
  2. With a differentiated debt repayment scheme to a financial institution, interest is charged on the balance of the loan amount. Therefore, monthly payments will decrease.

Annuity is more commonly used: it is more profitable for the bank and more convenient for most customers.

Calculation of annuity payments on a loan in Excel

The monthly amount of the annuity payment is calculated by the formula:

A = K * S

  • A - the amount of the loan payment;
  • K - coefficient of annuity payment;
  • S is the amount of the loan.

Annuity ratio formula:

K = (i * (1 + i)^n) / ((1+i)^n-1)

  • where i is the monthly interest rate, the result of dividing the annual rate by 12;
  • n is the term of the loan in months.

There is a special function in Excel that counts annuity payments. This is the PLT:

The cells turned red, a minus sign appeared in front of the numbers, because. we will give this money to the bank, lose it.



Calculation of payments in Excel according to the differentiated repayment scheme

The differentiated payment method assumes that:

  • the amount of the principal debt is distributed over the payment periods in equal installments;
  • Interest on the loan is charged on the balance.

Differentiated payment calculation formula:

DP \u003d NEO / (PP + NEO * PS)

  • DP - monthly loan payment;
  • OSZ - the balance of the loan;
  • PP - the number of periods remaining until the end of the maturity period;
  • PS - interest rate per month (annual rate divided by 12).

We will draw up a repayment schedule for the previous loan according to a differentiated scheme.

The input data is the same:

Let's make a loan repayment schedule:


Loan balance: in the first month equals the whole amount: =$B$2. In the second and subsequent ones, it is calculated by the formula: =IF(D10>$B$4;0;E9-G9). Where D10 is the number of the current period, B4 is the term of the loan; E9 - loan balance in the previous period; G9 - the amount of the principal debt in the previous period.

Interest payment: multiply the loan balance in the current period by the monthly interest rate, which is divided by 12 months: =E9*($B$3/12).

Principal payment: the total loan amount divided by the term: =IF(D9

Final payment: the sum of "interest" and "principal debt" in the current period: =F8+G8.

Let's enter the formulas in the appropriate columns. Let's copy them to the whole table.


Let's compare the overpayment with an annuity and a differentiated loan repayment scheme:

The red number is an annuity (they took 100,000 rubles), the black one is a differentiated method.

Formula for calculating interest on a loan in Excel

Let's calculate the interest on the loan in Excel and calculate the effective interest rate, having the following information on the loan offered by the bank:

Calculate the monthly interest rate and loan payments:

Fill in the table like this:


The commission is taken monthly from the entire amount. The total loan payment is the annuity payment plus the commission. The amount of the principal debt and the amount of interest are the constituent parts of the annuity payment.

Principal amount = annuity payment - interest.

Amount of interest = balance of debt * monthly interest rate.

The balance of the principal debt = the balance of the previous period - the amount of the principal debt in the previous period.

Based on the table of monthly payments, we calculate the effective interest rate:

  • took a loan of 500,000 rubles;
  • returned to the bank - 684,881.67 rubles. (the sum of all payments on the loan);
  • the overpayment amounted to 184,881.67 rubles;
  • interest rate - 184,881.67 / 500,000 * 100, or 37%.
  • A harmless commission of 1% cost the borrower very dearly.

The effective interest rate of the loan without commission is 13%. The calculation is carried out in the same way.

Calculation of the total cost of the loan in Excel

According to the Consumer Credit Law, a new formula is now applied to calculate the total cost of credit (TCC). UCS is determined as a percentage with an accuracy of three decimal places according to the following formula:

  • UCS \u003d i * NBP * 100;
  • where i is the interest rate of the base period;
  • NBP is the number of base periods in a calendar year.

Let's take the following loan data as an example:

To calculate the full cost of the loan, you need to draw up a payment schedule (see above for the procedure).


It is necessary to determine the base period (BP). The law says that this is the standard time interval that occurs most often in the repayment schedule. In the example, BP = 28 days.

Now you can find the interest rate of the base period:

We have all the necessary data - we substitute them into the UCS formula: \u003d B9 * B8

Note. To get percentages in Excel, you do not need to multiply by 100. It is enough to set the percentage format for the cell with the result.

TIC according to the new formula coincided with the annual interest rate on the loan.

Thus, the simplest PMT function is used to calculate annuity payments on a loan. As you can see, the differentiated repayment method is somewhat more complicated.

Not every Russian has the opportunity to make an expensive purchase. Many people who dream of buying new appliances or real estate are forced to take part in consumer or mortgage lending. Studying the credit products presented on the domestic financial market, every Russian citizen is trying to save on interest. To find the most favorable loan in all respects, individuals need to know how to calculate monthly payments and interest rates. This can be done directly at the branch of a financial institution or independently using special formulas.

How to calculate the annual interest on a loan?

S = Sz * i * Kk / Kg, where

  • S is the amount of interest;
  • Sz - the amount of the loan (for example,);
  • i – annual interest rate;
  • Kk - the number of days allocated by the bank to repay the loan;
  • Kg is the number of days in the current year.

How to calculate the amount of accrued interest, you can consider the following example:

  • Loan term - 1 year.
  • Annual interest rate (approximately the same as for those received from other banks) - 18.00%.
  • S \u003d 300,000 * 18 * 365 / 365 \u003d 54,000 rubles will have to be paid by an individual for using credit funds.

To calculate the annual interest, customers of a financial institution need to carefully study the loan agreement. The agreement usually specifies not only the amount of the loan, but also what amount must be repaid at the end of the contract. To make calculations, subtract the smaller amount from the larger amount, then divide the result by the duration of the loan program, then multiply the final figure by 100%.

  • An individual has issued a loan - 300,000 rubles.
  • Loan term - 1 year.
  • At the end of the term, you need to return - 354,000 rubles.
  • Annual interest S \u003d (354,000 - 300,000): 1 * 100% \u003d 54,000 rubles.

There is another way to calculate. The borrower should sum up all monthly payments, and then add additional payments to the result obtained (for example, additional fees, commissions, the amount of funds charged by the bank for servicing the loan program, etc.). After that, the result obtained must be divided by the term of the loan, and the final figure multiplied by 100%.

  • An individual has issued a loan - 300,000 rubles.
  • Loan term - 1 year.
  • The annual interest rate is 18.00%.
  • Additional payments - 2,500 rubles.
  • The amount of the monthly payment is 4,500 rubles.
  • Annual interest S \u003d (4,500 * 12 + 2,500) * 18.00% : 1 * 100% \u003d (54,000 + 2,500) : 1 * 100% \u003d 56,500 rubles.

Formula for calculating interest on a loan

Today, the banking sector uses two main schemes for calculating interest on loan programs. In this case, we are talking about differentiated and annuity payments that borrowers are required to make once a month to the current account of their lender.

  • Sa - payment amount (annuity);
  • Sk is the loan amount;
  • t is the number of obligatory payments under the credit program.

How the calculations are carried out, you can consider an example:

  • Monthly payment amount = (60,000 * (0.17/12)) : 1 - (1: (1: (1 + (0.17:12)))) = 850.00: 0.1553 = 5,472, 29 rubles.

When calculating the amount of monthly payments (differentiated), banks use a different formula:

  • Sp - the amount of accrued interest;
  • t is the number of days in the payment period;
  • Sk is the amount of the loan balance;
  • P is the interest rate on the loan (annual);
  • Y is the number of days (calendar) in a year (366/365).
  • An individual has issued a loan in the amount of 60,000 rubles.
  • The annual interest rate is 17.00%.
  • The term of the loan is 1 year (12 months).
  • The loan amount, which is repayable every month, is 5,000 rubles.
  • For January = (60,000 * 17 * 31) : (100 * 365) = 866.30.
  • For February = (55,000 * 17 * 28) : (100 * 365) = 717.26 ...
  • For December = (5,000 * 17 * 31) : (100 * 365) = 72.19.

How can individuals choose the most profitable interest accrual scheme?

In order for potential borrowers to choose the most profitable interest calculation scheme, a comparison of both methods should be made. If the emphasis is on the amount of the overpayment, then it will be more profitable to draw up loan programs that provide for differentiated monthly payments. It should be noted that this method also has a disadvantage. Unlike annuity payments, with a differentiated method of repaying a loan, the main credit burden will be placed on the first months of using the program.

If we consider mortgage loan products, then the annuity method of repayment will be extremely unprofitable for them, since in this case individuals will have to overpay very large amounts of money.

How to calculate a mortgage for 15 years?

Everyone sooner or later begins to think about how to improve their living conditions. If he has a sufficient amount of savings, he can purchase a more spacious living space. In the event that individuals do not have the opportunity to save even a third of the value of a property, the only option to improve living conditions is to participate in mortgage lending.

Currently, in the domestic financial market, a huge number of banks offer mortgage loans to Russians. In order to choose the most favorable lending conditions for themselves, individuals should independently calculate how much interest they will have to pay, for example, for 15 years. When making calculations, potential borrowers should take into account that the cost of a mortgage loan includes:

  • the amount of the loan;
  • the amount of interest accrued for the entire period of using the loan;
  • insurance payments;
  • the cost of the appraiser's services;
  • additional payments.

As a rule, mortgage loans can be repaid either by annuity or differentiated payments. It will be easier for potential borrowers to calculate the overpayment on a loan in the case of annuity payments. To do this, they need to use the formula:

X = (S*p) / (1-(1+p)^(1-m)), where:

  • X - the amount of the monthly payment (annuity);
  • S - the amount of the mortgage loan;
  • p - 1/12 of the interest rate (annual);
  • m is the term of the mortgage loan (in months), in this case 15 years = 180 months;
  • ^ - in degree.

When calculating differentiated payments, it is customary to use the following formula:

  • OSH * PrS * x / z - the monthly payment is determined.
  • OSZ / y - debt reduction after making a monthly payment.
  • OSZ - loan balance (calculation is carried out separately for each month);
  • PrS - interest rate (general);
  • y is the number of months remaining until the full repayment of the loan;
  • x is the number of days in the billing month;
  • z is the number of payment days (total) in a year.

Advice: in the case of a mortgage loan, which provides for differentiated payments, it is better for potential borrowers to use a loan calculator. This is due to the fact that a complex formula is used to carry out the calculations. You can also contact the bank branch where the mortgage program is planned, where the specialist will calculate the amount of the monthly payment and answer all the questions of interest to the client, for example, is it possible.

How to calculate the monthly loan payment?

Many Russian citizens who choose a loan program use a standard formula for calculating monthly payments. They take the amount of the loan as a basis, multiply it by the monthly interest rate, and multiply everything by the number of months of lending.

  • Interest rate – 10.00%.
  • First of all, the monthly interest rate is determined - 10.00% / 12 = 0.83.
  • (100,000 x 0.83%) x 12 = 9,960.00 rubles must be returned monthly.

Advice: this formula can be applied in the case of annuity payments, in which the borrower will have to return a fixed amount of funds once a month. In the event that the bank issued a loan on the terms of differentiated payments, the amount of monthly payments will be calculated using a different formula. It is also worth noting that when paying with differentiated payments, individuals will have to return a smaller amount to the lender every subsequent month.

When calculating differentiated payments to individuals, one important point must be taken into account. The interest rate will be charged each month on the loan amount reduced by the monthly payments already made.

  • The loan amount is 100,000 rubles.
  • The duration of the program is 1 year.
  • Monthly interest rate 0.83%.
  • Monthly payment (loan amount / number of months (payment periods)).

The amount of monthly payments (differentiated) will be calculated for each month:

Loan duration Calculation of monthly interest Monthly payment amount
January 100 000 * 0,83% 8,333.33 + 830 = 9,163.33 rubles
February (100 000 – 8 333,33) * 0,83% = 91 666,67 * 0,83% 8,333.33 + 760.83 = 9,094.16 rubles
March (91 666,67 – 8 333,33) * 0,83% = 83 333,34 * 0,83% 8,333.33 + 691.67 = 9,025.00 rubles
April (83 333,34 – 8 333,33) * 0,83% = 75 000,01 * 0,83% 8,333.33 + 622.00 = 8,955.33 rubles
May (75 000,01 – 8 333,33) * 0,83% = 66 666,68 * 0,83% 8,333.33 + 553.33 = 8,886.66 rubles
June (66 666,68 – 8 862,87) * 0,83% = 58 333,35 * 0,83% 8,333.33 + 484.17 = 8,817.50 rubles
July (58 333,35 – 8 333,33) * 0,83% = 50 000,02 * 0,83% 8,333.33 + 415.00 = 8,748.33 rubles
August (50 000,02 – 8 333,33) * 0,83% = 41 666,69 * 0,83% 8,333.33 + 345.83 = 8,679.16 rubles
September (41 666,69 – 8 333,33) * 0,83% = 33 333,36 * 0,83% 8,333.33 + 276.67 = 8,610.00 rubles
October (28 787,94 – 8 333,33) * 0,83% = 25 000,03 * 0,83% 8,333.33 + 207.50 = 8,540.83 rubles
November (25 000,03 – 8 333,33) * 0,83% = 16 666,70 * 0,83% 8,333.33 + 138.33 = 8,471.66 rubles
December (12 121,28 – 8 333,33) * 0,83% = 8 333,37 * 0,83% 8,333.33 + 69.17 = 8,402.50 rubles

The example shows that every month the body of the loan to be repaid will remain unchanged, and the amount of accrued interest will change downwards.

How to calculate the monthly loan payment through the program?

In this program, you need to fill in the empty windows in which you must enter data:

  • loan amount;
  • the currency in which it is planned to issue a loan product;
  • the interest rate offered by the bank;
  • duration of the loan program;
  • type of payments (differentiated or annuity);
  • start of loan payments.

After entering all the data, potential borrowers only need to click on the “calculate” button. Literally in a few seconds, information will be displayed on the monitor screen, which will allow individuals to give a financial assessment of the selected loan program.

Save the article in 2 clicks:

Every Russian who decides to use an affordable banking product, for example, must evaluate his financial capabilities before applying. To do this, he needs to make calculations of annual interest and monthly payments. Calculations will be possible only with the use of special formulas. Also, individuals can use free loan calculators, which are located on the official websites of Russian banks. The calculations made will allow potential borrowers to understand whether they will be able to service the selected loan or whether they should look for a program with more affordable conditions.

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