Most often, the annual interest rate is used to calculate the cost of a loan or deposit. When you put money on a deposit, the bank pays you interest for their use, and when you draw up a loan, you pay the interest to the bank. That's how this business works. If someone offers you, then you have every reason to doubt the decency of this lender.
What is annual interest? Let's start with a definition:
Annual interest rate- this is a certain percentage of the loan (deposit) amount that the borrower (bank) pays for using the loan (deposit) for one year.
For example, if the annual interest rate is 20% , then the annual fee for the use of the amount in 100 000 rubles will be equal to 20 000 rubles(100,000*20%=20,000). This definition can also be formulated as follows:
Annual interest on a loan (deposit)- this is the remuneration, expressed as a percentage per annum of the amount of the loan (deposit), which the bank (depositor) receives for the loan (placed deposit).
Pay attention to one important point:
The annual percentage displays the fee (remuneration) for using the loan (deposit) only during the year.
That is, if you borrow 100 000 rubles for one year under 20% per annum, then yes - you will pay for the year of its use 20 000 rubles, and if for three years, then multiply this figure by three and you get - 60 000 rubles (100 000*20%*3=60 000).
It's just that some borrowers mistakenly perceive the annual interest rate as a calculated indicator of the total overpayment on the loan for the entire period. Such a borrower looks at the figure of 20% per annum and thinks: “Great! Now I will take a loan of 100,000 rubles for three years, and gradually return 120,000 rubles to the bank!”
Aha! Now! You will return! You will then look at the payment schedule with a dull smile and wonder: “Well, why 160,000, and not 120,000, as I thought?”
The situation is similar for deposits. If you deposit 100,000 rubles at 15% per annum, then 15,000 rubles is the amount of remuneration that the bank will pay you for using this money for only one year.
It is clear that in addition to remuneration, the borrower (bank) is obliged to pay the loan (deposit) amount itself in a timely manner.
In general, be careful, friends, when dealing with annual interest.
By the way, in practice, on a long-term loan received from a bank for 100,000 rubles at 20% per annum, in one year, most often, not 20,000, but much less. Why is this happening? The reason is the constantly changing base on which interest is calculated. We will consider this topic.
Use this calculator to calculate amounts of monthly payments, efficient interest rate which all banks are now required to indicate and overpayment amounts on credit. After completing the calculation, you will find out which part of the money goes to repay the principal on the loan, which part to pay interest.
There are two types of calculators. This calculator allows you to do both types of calculation:
On our site you can apply credit calculator to evaluate various lending programs as well as to obtain a monthly payment schedule without contacting the bank.
The loan calculator presented to you is extremely simple compared to other similar services. Some of them may offer calculation in Excell by downloading a file, which in our time may seem like an anachronism. This calculator takes into account the size of the loan, term, interest on the loan according to the program chosen by the borrower.
Greetings! I am sure that I do not have to know and be able to do everything in the world. Yes, this is impossible in principle. But in the most important areas for a person, it is worth navigating at least at the level of a “teapot”.
I include work, business, family, health and, of course, money as vital areas. What am I leading to? To the fact that any investment requires. Even if it's banal bank deposit or a business development loan.
To be honest, I have not done such calculations manually for a very long time. What for? After all, there are a lot of convenient applications and online calculators. As a last resort, a “fail-safe” Excel spreadsheet will help out.
But it doesn’t hurt to know the elementary formulas for basic calculations! Agree, interest on deposits or loans can definitely be attributed to the "basic".
Below we will recall school algebra. It must come in handy somewhere in life.
Let me remind you that interest on a bank deposit can be simple and complex.
In the first case, the bank accrues income on the initial amount of the deposit. That is, every month / quarter / year the depositor receives the same “bonus” from the bank.
Of course, the calculation formulas for simple and compound interest differ from each other.
Let's consider them on a concrete example.
Example. Valera opened a deposit in the amount of 20,000 rubles at 9% per annum for one year.
Calculate the return on investment for a year, a month, a week and one day.
The amount of interest for the year \u003d (20,000 * 9 * 365) / (365 * 100) \u003d 1800 rubles
It is clear that in our example, the annual yield could be calculated much easier: 20,000 * 0.09. And as a result, get the same 1800 rubles. But since we decided to count according to the formula, then we will count according to it. The main thing is to understand the logic.
The amount of interest for the month (June) \u003d (20,000 * 9 * 30) / (365 * 100) \u003d 148 rubles
The amount of interest for the week \u003d (20,000 * 9 * 7) / (365 * 100) \u003d 34.5 rubles
The amount of interest per day = (20,000 * 9 * 1) / (365 * 100) = 5 rubles
Agree, the formula of simple interest is elementary. It allows you to calculate the return on the deposit for any number of days.
We complicate the example. The formula for calculating compound interest is a little more “tricky” than in the previous version. The calculator must have a "degree" function. Alternatively, you can use the degree option in an Excel spreadsheet.
Let's go back to our example. Valera placed the same 20,000 rubles on a bank deposit at 9% per annum. But this time - .
First, let's calculate the rate for the capitalization period. According to the terms of the deposit, interest is accrued and "plus" to the deposit once a month. This means that we have 30 days in the capitalization period.
Thus, the rate for the capitalization period = (9*30)/(365*100) = 0.0074%
And now we consider how much our contribution will bring in the form of interest for different periods.
The amount of interest for the year \u003d 20,000 * (1 + 0.0074) 12 - 20,000 \u003d 1,850 rubles
We raise to the power of "12" because the year includes twelve periods of capitalization.
As you can see, even on such a symbolic amount and short term the difference in the yield of a deposit with simple and compound interest is 50 rubles.
The amount of interest for six months \u003d 20,000 * (1 + 0.0074) 6 - 20,000 \u003d 905 rubles
The amount of interest for the quarter \u003d 20,000 * (1 + 0.0074) 3 - 20,000 \u003d 447 rubles
The amount of interest for the month = 20,000 * (1 + 0.0074) 1 - 20,000 = 148 rubles
Note! Capitalization of interest does not affect the profitability of the deposit for the first month.
The depositor will receive all the same 148 rubles with both simple and compound interest. Differences in yields will start from the second month. And the longer the term of the deposit, the more significant the difference will be.
Before we get too far away from the topic of compound interest, let's check how true one of the recommendations of financial consultants is. I mean the advice to choose not once every six months or a quarter, but once a month.
Suppose our conditional Valera made a deposit for the same amount, term and at the same rate, but with capitalization of interest every six months.
Rate = (9*182)/(365*100) = 0.0449%
Now we calculate the return on investment for the year.
The amount of interest for the year \u003d 20,000 * (1 + 0.0449) 2 - 20,000 \u003d 1,836 rubles
Conclusion: other things being equal, the semi-annual capitalization will bring Valera 14 rubles less than the monthly one (1850 - 1836).
I understand that the difference is very small. But after all, other initial data we have are symbolic. On large sums and long terms, 14 rubles will turn into thousands and millions.
We are moving from deposits to loans. In fact, the formula for calculating a loan is no different from the basic one.
Example. Yuri designed consumer credit in Sberbank in the amount of 100,000 rubles for 2 years at 20% per annum.
The amount of interest for the first month = (100000 * 20 * 30) / (365 * 100) = 1644 rubles
The amount of interest for one day \u003d (100000 * 20 * 1) / (365 * 100) \u003d 55 rubles
Note! Along with the balance of the debt, the amount of interest on the loan also decreases. In this regard, the differentiated scheme is much more "fair" than the annuity one.
Now let's say our Yuri paid off half of his loan. And now the balance of his debt to the bank is not 100,000, but 50,000 rubles.
How much will the interest burden be reduced for him?
The amount of interest per month = (50,000 * 20 * 30) / (365 * 100) = 822 rubles (instead of 1644)
The amount of interest for one day \u003d (50,000 * 20 * 1) / (365 * 100) \u003d 27 rubles (instead of 55)
Everything is fair: the debt to the bank has halved - the “interest” burden on the borrower has halved.
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22.06.2017 0
Today, banks offer many services to the population, the most popular of which are lending and depositing. The policy regarding loans and deposits is largely controlled by the Central Bank of the Russian Federation, as well as Russian legislative acts. However, banks have the right to provide loans and place deposits on certain conditions, if this does not contradict the law.
According to statistics, every 10th Russian is a client of this or that bank. That is why the question of how the annual interest on a loan or bank deposit is calculated is so important. In most cases, interest refers to the size of the bet. The total amount of overpayment on the loan, as well as the amount of the monthly payment, depends on the rate.
First of all, let's consider bank deposits. The conditions are specified in the contract at the time of opening a deposit account. Interest is charged on the deposited amount. This is a monetary reward that the bank pays to the depositor for the use of his money.
The Civil Code of the Russian Federation provides for the possibility of citizens to withdraw a deposit at any time, along with accrued interest.
All the nuances, conditions and requirements for the deposit are reflected in the agreement between the bank and the depositor. The calculation of annual interest is carried out in two ways:
Today, the demand for loans is huge, but the popularity of one or another loan product depends on the annual interest rate. In turn, the amount of the monthly payment depends on the interest rate.
Considering the issue of calculating interest on a loan, it is necessary to familiarize yourself with the basic definitions and features of lending in Russian banking institutions.
The annual interest rate is the amount of money that the borrower agrees to pay at the end of the year. However, interest is usually calculated on a monthly or daily basis for short-term loans.
No matter how attractive the interest rate on a loan looks, it should be understood that loans are never issued free of charge. It does not matter what type of loan is taken: a mortgage, a consumer loan or a car loan, the bank will still be paid an amount more than they took. To calculate the amount of monthly payments, it is necessary to divide the annual rate by 12. In some cases, the lender sets a daily interest rate.
Example: a loan is taken at 20% per annum. How much interest from the body of the loan is required to pay daily? We believe: 20% : 365 = 0,054% .
Before signing loan agreement it is recommended to carefully analyze your financial situation, as well as make a forecast for the future. Today the average rate in Russian banks is approximately 14%, so the overpayment on the loan and monthly payments can be quite large. If the borrower is unable to repay the debt, this will lead to the imposition of penalties, lawsuits and loss of property.
It is also worth knowing that interest rates may vary depending on their condition.:
Having become familiar with the basic concepts, you can proceed to the calculation of the interest rate on a loan. For this you need:
To calculate the annual rate, you need to multiply 1% by 12 months: 1 x 12 = 12% per annum. 
Mortgage loans are calculated much more difficult, because include many variables. For a correct calculation, the loan amount and interest rate will not be enough. It is better to use a calculator that will help you calculate the approximate rate and amount of monthly mortgage payments.
For a detailed determination of the annual interest on the loan, the distribution of the balance of the loan body by month and year, as well as displaying information in the form of a graph or table, you can use the online calculator for calculating
A loan at 12 percent per annum in 2020 can be obtained in cash or on a card. Some Russian banks offer to issue it without certificates, but this will significantly reduce the amount of the payment.
You can apply for a loan at 12% per annum using the promotional programs of banks. There are also standard offers for reliable customers. They involve the use of collateral, the involvement of guarantors. There are discounted rate options for:
Pensioners, young families, large couples can apply for a consumer loan at 12 percent per annum.
You can get money for up to 240 months. The amount to be issued is up to 30,000,000 rubles. The minimum you can take on average from 7.9 rubles. Banks that enable loan offer at this rate:
To find out how much to pay per month, what is the size of the total overpayment, use the loan calculator. When calculating, average indicators are used, as well as a package of documents provided. Some services support the ability to take into account the form of monthly payments.
In order to use the calculator, you must specify the maximum number of parameters. This will provide you with the most accurate information. You will find out the exact numbers only after the approval of the application, since banks often calculate individually, taking into account the scoring score.
On our site you can quickly get the amount you need. For this you should:
