How to correctly calculate a bank loan. Calculate ovulation

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

How to calculate annual interest on a loan?

S = Sз * i * Kк / Kg, Where

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

How to calculate the amount of accrued interest can be seen using an example:

  • Loan term – 1 year.
  • The annual interest rate (about the same as that received from other banks) is 18.00%.
  • S = 300,000 * 18 * 365 / 365 = 54,000 rubles an individual will have to pay for using credit funds.

To calculate annual interest, clients of a financial institution must carefully study loan agreement. The agreement usually specifies not only the amount of the loan issued, but also how much must be repaid at the end of the agreement. To carry out calculations, subtract the smaller amount from the larger amount, then divide the resulting result by the duration of the loan program, then multiply the final figure by 100%.

  • An individual took out a loan for 300,000 rubles.
  • Loan term – 1 year.
  • At the end of the term, you need to return 354,000 rubles.
  • Annual interest S = (354,000 – 300,000): 1 * 100% = 54,000 rubles.

You can carry out the calculation in one more way. The borrower should sum up all monthly payments, and then add to the result obtained additional payments(for example additional fees, commissions, the amount of funds charged by the bank for servicing the loan program, etc.). After this, the result must be divided by the term of the loan, and the final figure multiplied by 100%.

  • An individual took out a loan for 300,000 rubles.
  • Loan term – 1 year.
  • Annual interest rate – 18.00%.
  • Additional payments – 2,500 rubles.
  • The monthly payment amount is 4,500 rubles.
  • Annual interest S = (4,500 * 12 + 2,500) * 18.00%: 1 * 100% = (54,000 + 2,500): 1 * 100% = 56,500 rubles.

Formula for calculating interest on a loan

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

  • Sa – payment amount (annuity);
  • Sk – loan amount;
  • t – quantity mandatory payments under the credit program.

How calculations are carried out can be seen using the following 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 – amount of accrued interest;
  • t – number of days in the payment period;
  • Sk – loan balance amount;
  • P – loan interest rate (annual);
  • Y – number of days (calendar) in a year (366/365).
  • An individual took out a loan in the amount of 60,000 rubles.
  • Annual interest rate – 17.00%.
  • The loan term 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 calculation scheme?

In order for potential borrowers to choose the most profitable interest calculation scheme, both methods should be compared. If you focus on the amount of overpayment, then it will be more profitable to apply for credit programs that provide differentiated monthly payments. It is worth noting that this method also has a drawback. Unlike annuity payments, with a differentiated method of loan repayment, the main credit load will be made for 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 a lot large sums Money.

How to calculate a mortgage for 15 years?

Every person sooner or later begins to think about how to improve his living conditions. If he has enough savings, he can purchase a larger living space. In the case when you individuals There is no way to save up even a third of the cost of the property; the only option to improve living conditions is to participate in mortgage lending.

Currently, on the domestic financial market, a huge number of banks offer mortgage loans to Russians. To choose the most profitable terms lending, 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 issued;
  • the amount of interest accrued over the entire period of using the loan;
  • insurance payments;
  • cost of appraiser services;
  • additional payments.

As a rule, mortgage loans can be repaid either by annuity or graduated payments. It will be easier for potential borrowers to calculate the overpayment on the 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 – size of the monthly payment (annuity);
  • S - mortgage loan amount;
  • p – 1/12 of the interest rate (annual);
  • m – term of the mortgage loan (in months), in this case 15 years = 180 months;
  • ^ - to the degree.

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

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

Advice: in case of mortgage loan, for which differentiated payments are provided, 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 you plan to register mortgage program, where the specialist will calculate the amount of the monthly payment and answer all the client’s questions, 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 loan amount 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 repaid monthly.

Advice: this formula can be applied in the case of annuity payments, in which the borrower will have to repay a fixed amount of funds once a month. In the case when 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 each subsequent month.

When calculating differentiated payments to individuals, one must take into account important point. The interest rate will be calculated 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 downward.

How to calculate the monthly loan payment using the program?

In this program you need to fill in the empty windows into which you should enter data:

  • loan amount;
  • the currency in which the loan product is planned to be issued;
  • interest rate offered by the bank;
  • validity period 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. In just a few seconds, information will be displayed on the monitor screen that will allow individuals to give financial assessment selected loan program.

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Every Russian who decided to take advantage of the available banking product, for example, must evaluate their financial opportunities. To do this, he needs to make calculations of annual interest and monthly payments. Calculations will only be possible using special formulas. Individuals can also use free loan calculators, which are located on the official websites of Russian banks. The calculations performed will allow potential borrowers to understand whether they can service the chosen loan or whether they should look for a program with more affordable conditions.

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Hello Olga.

I accept the inheritance metal contribution. How is the cost of the duty of such an inheritance calculated?
Olga

As in the case of any other property, the state duty for issuing a certificate of inheritance is calculated according to the rules of clause 22 of Art. 333.24 Tax Code (this article is given above), based on the value of the inherited property. Metal bills are bank deposits, the assessment of which is based on the current value of the precious metal.

By cadastral value Is the duty cheaper than the inventory duty? At what cost should a notary calculate?
Olga

In accordance with Art. 333.25 of the Tax Code, at the choice of the payer, to calculate the state duty, a document indicating the inventory, market, cadastral or other (nominal) value of the property may be submitted. Notaries And officials performing notarial acts, does not have the right to determine the type of property value (method of valuation) for the purpose of calculating state duty and require the payer to submit a document confirming this type of property value (method of valuation). In case of submission of several documents, indicating different values ​​of property when calculating the amount of state duty The lowest of the specified property values ​​is accepted.

The following are exempt from paying state fees for performing notarial acts (Article 333.38 of the Tax Code):

2) disabled people of groups I and II - by 50 percent for all types of notarial acts;

5) individuals - for issuing certificates of the right to inheritance during inheritance:
residential building, as well as land plot, on which a residential building, apartments, rooms or shares are located in the specified real estate, if these persons lived together with the testator on the day of the testator’s death and continue to live in this house (this apartment, room) after his death;

bank deposits, cash for bank accounts individuals, insurance amounts under personal and property insurance, amounts of remuneration, copyrights and amounts of royalties provided for by law Russian Federation about intellectual property, pensions.
Heirs who have not reached the age of majority on the day of opening of the inheritance, as well as persons suffering from mental disorders over whom guardianship has been established in accordance with the procedure established by law, are exempt from paying the state fee when receiving a certificate of the right to inheritance in all cases, regardless of the type of inherited property.
Is it possible to ask a notary for a calculation for verification?
Olga

Of course you can. But you must remember that in addition to the state fee, notaries collect the cost of technical and legal services provided (initiation of an inheritance case, preparation of draft documents, requests to the bank and other institutions, search for heirs, etc.), which is not regulated by law and is determined by the notary independently . You have the right to writing request that you receive a transcript of the invoice indicating the cost of each action performed, document prepared, etc. Due to National tax must be paid before the notarial act is performed (Article 333.18 of the Tax Code), having paid the full price billed by the notary and received the calculation, you have the right to appeal it.

"How to calculate a loan yourself?" is a question that worries many who want to borrow money from a bank and pay less for it. There are many options for loan calculators on the Internet. With their help, even a child can calculate his or her loan. But what about commissions and insurance? How to choose a loan if the terms in different bank offers do not match?

What to look for when choosing a loan

  1. Interest rate. This is the main indicator if there are no differences on the points listed below.
  2. Loan currency. Ruble loans are more expensive than foreign currency loans. But for foreign exchange there is a risk of appreciation.
  3. Term. Within one loan offer, the bank's rate varies depending on the term.
  4. Additional payments or lack thereof. This may include various commissions, fines, payment for collateral assessment, and insurance.
  5. Availability salary card. Banks often offer preferential terms for payroll clients.
  6. Target. There are targeted and non-targeted lending programs. Their conditions are different. Separately, banks post offers for cards. Card loans are more expensive.
  7. Security. Secured loans are issued at a lower interest rate.
  8. Amount and proof of income.

    The amount of income allows you to determine credit limit. This maximum amount, which you can count on. Confirming income with documents allows you to reduce the transaction price. The most expensive loan is the one where information about income is indicated according to the borrower.

  9. Loan repayment method: in equal parts or not.

Two options for repaying debt – which to choose?

1. Differentiated payment option.

To differentiate means to distinguish. Each subsequent loan payment will be less than the previous one. Payment composition:

  • principal (what the bank lends). This amount is divided in equal proportions by the number of payments. For example, a loan of 50 thousand rubles. received at a rate of 20% for 2 years, which will amount to 24 payments. In each payment the principal debt is equal to 2,084 rubles. (50,000 divided into 24 payments);
  • interest. Since the loan debt decreases with each payment made to the bank, the amount of interest will decrease each time. The first payment will be 833 rubles, the last – 35 rubles.

The total payment amount will decrease in each subsequent period (month) due to the interest portion. The first payment will be 2,917 rubles, the last – 2,119 rubles.

2. Annuity payment option.

Such payment in each period (month) will be constant. The borrower deposits the same amount into the bank each time. For example, with the same conditions, each contribution to the bank is equal to 2,545 rubles. Payment composition:

  • main debt. The amount of loan debt is divided among all payments, but unevenly. The first payment will be 1,711 rubles, then a gradual increase will follow, and the last will be equal to 2,503 rubles.
  • interest. Calculate each time from the balance of the debt. In the first payment, their amount will be 833 rubles, then gradually decrease to 42 rubles. in the last.

Since the debt to the bank decreases more slowly than in the previous option, the total amount of interest paid will be greater.

A comparison of the methods is shown in the table.

Criterion

Annuity payment

Differentiated payment

Amount of each payment

Same

Miscellaneous: decreases as debt is paid off

Features of repayment of the principal debt

Minimum return in the first payments and maximum in the last

Uniform

Features of interest payment

Most of it comes from first payments

The amount of interest in each payment is less than in the previous one due to a decrease in debt to the bank

The total amount of interest paid at equal terms, amounts and rates

Amount of the first payment under the terms of the loan

The main advantage of the differentiated method is its cost-effectiveness. Annuity – the convenience of paying a constant amount. In addition, with long-term loans and large amounts the size of the first annuity payment is less than the differentiated one. Therefore, it is easier to repay the loan, and it is easier to prove solvency to the bank.

Credit transaction price - what is it?

What is the loan price? This is a fee for the use sum of money. The loan price is considered in several options.

  1. Interest rate. This is the first thing a borrower pays attention to. But focusing only on the bet, you can make the wrong choice. Credit with the most high percentage may be most economical if it does not contain additional payments.
  2. The full cost of a consumer loan. Calculated based on Article 6 of Federal Law No. 353 “On consumer credit(loan)".

    The calculation takes into account elements related to the return of funds and debt servicing: interest, issue price and servicing bank card and the cost of insurance (if provided for by the loan program). IN full cost loan are not taken into account: fines and penalties associated with the borrower’s violation of the terms of the agreement, the cost of collateral insurance, if collateral is provided, and the cost foreign exchange transactions, if you have to make them to get a loan.

  3. Effective interest rate. Previously, banks calculated it instead of the full cost of the loan. This information is not required to be published at this time. Although it can be used to compare loans.
  4. Overpayment percentage. The overpayment is everything you have to pay on the loan in addition to the principal amount. These are payments to the bank, appraiser, and insurance company.

The first indicator is not suitable for self-calculation of a loan, the next two are mathematically complex. The last indicator is little known. Although it can be used in calculations even by a non-professional.

How to calculate a loan yourself, without knowledge of financial mathematics

  1. Explore all features credit offers and select several of the most suitable options.
  2. Write down all elements of overpayment for each option. Write out the interest in the form of a rate indicating the method of payment (annuity and differentiated). Other payments should be written out in a fixed amount or as a percentage of the loan amount.
  3. Make a calculation.

Example. Credit terms:

Amount 100 thousand rubles;

Rate 18%;

Term 1 year.

Let's consider options with and without additional payments.

Option 1. Loan with annuity repayment without additional payments.

Option 2. Loan with annuity repayment. Additional one-time payment – ​​purchase credit card worth 500 rubles.

Option 3. Loan from differentiated repayment no additional payments.

Option 4. Loan with differentiated repayment. Additional one-time payment – ​​purchase of a credit card worth 200 rubles. Additional monthly payments – 30 rubles. per month for the cost of the SMS information service on the card.

To calculate, we will use a loan calculator. In this case, the option http://calculator-credit.ru/ was used.

We enter the values ​​for each option one by one and record the results in the table.

Payment method

Annuity

Annuity

Differentiated

Differentiated

Duration, months

Amount, rub.

360 (30 RUR * 12 payments)

9,833 – first payment;

8 458 – last

9,863 – first payment;

8 488 – last

Options 1 and 3 without additional payment have the lowest total overpayment: 9,750 and 10,016 rubles. respectively. Of these, option 3 with differentiated payments is preferable.

Options 2 and 4 are less attractive due to additional payments.

The “Total overpayment” indicator can be used to make decisions on loans with equal terms and amounts. What should I do if these conditions differ in the selected options?

How to compare loans of different terms and amounts

Duration, months

Amount, rub.

Payment method

Annuity

Annuity

Differentiated

Differentiated

One-time additional fee, rub.

400 (card cost)

1,500 (insurance)

200 (card cost)

Total amount of additional monthly fee, rub.

50 (cost of SMS notification)

30 (cost of SMS notification)

Overpayment of interest on loan, rub.

Amount of monthly payment (amount of overpayment on interest and additional monthly fee), rub.

16,380 – first payment;

15,255 – last

5,917 – first payment;

4 240 – last

Total overpayment (amount of monthly payment and one-time additional payment), rub.

Overpayment percentage (annual), %

The table shows options 5–8. They differ not only in additional fees, but also in basic conditions.

Under option 5, a loan in the amount of 100 thousand rubles. issued for a period of 10 months at 20% per annum. The payment is annuity. The bank transfers the money to the card, the cost of which is 400 rubles. and the monthly fee for the SMS notification service is 50 rubles.

Under option 6, a loan in the amount of 120 thousand rubles. for a period of 1 year at 19%. The payment is annuity. An insurance payment of RUB 1,500 is required.

Option 7: loan in the amount of 90 thousand rubles. for a period of 6 months at 18% per annum. Payment is differentiated. The bank transfers the money to the card, the cost of which is 200 rubles. and the monthly fee for the SMS notification service is 30 rubles.

Option 8: amount 100 thousand rubles, term 2 years, rate 21% - the highest of those presented. Payment is differentiated. There is no additional overpayment other than interest.

In the previous example with equal conditions, preference was given to the option with the smallest total overpayment.

In this case, the smallest overpayment is 5,105 rubles. corresponds to option 7 with the lowest rate of 18%. The largest – in the amount of 21,875 rubles. – option 8 with the most high rate 21%.

But is it possible to compare options 7 and 8? Only taking into account the term it becomes obvious that paying longer means overpaying more. A loan with a shorter term always wins in terms of overpayment.

But the options cannot be compared even in the case of different amounts. As the loan amount increases, the overpayment on it also increases.

In this case, you can make the final choice using the overpayment percentage. It shows how much you have to overpay as a percentage of the loan amount. To do this, divide the final overpayment by the loan amount and multiply by 100%.

Calculation example for option 5.

10,294 / 100,000 * 100 = 10.29% - this is the percentage of overpayment for the entire period (10 months).

In order for the indicator to become correct for loans of different terms, it is reduced to the option annual interest overpayments. To do this, divide the resulting number by the loan term in months and multiply by 12 months per year.

10.29% / 10 months * 12 months = 12.35%.

Now the indicator can be compared with other options. Its calculation takes into account all the main differences between loans and all options for overpayment.

As a result, option 8 turned out to be the most economical. Although the interest rate on it and the amount of overpayment were maximum.

conclusions

How to calculate a loan yourself? View all possible options, write down key conditions for them, including repayment features. Specify the amount of all additional payments. Determine the amount of the final overpayment and the percentage of overpayment.

If you need a detailed calculation with exact dates, a variable rate and the ability to make early payments, use the advanced loan calculator.

Online loan application

Design online application You can get a loan on the website of almost any bank. The convenience for the client is obvious here - filling out an application on the website without visiting the office saves your time. This is also beneficial for banks, as it saves employees time. The bank can collect all the necessary information about a potential borrower and make a decision on loan approval without the client visiting the office. Documents and certificates can be provided to in electronic format. A personal visit will only be necessary to provide original documents and sign the contract.

Calculate your loan yourself

Credit calculator With early repayment is intended for independent online calculation of loan parameters, such as the amount of the monthly payment and the total overpayment on the loan based on the amount desired by the borrower and the loan term, as well as the interest rate. After completing the calculation, you will receive a detailed payment schedule containing detailed information about each monthly payment, namely: total amount payment, what part of this amount goes to repay interest, and what part to repay the principal debt, and the balance of the principal debt.

Use online calculator It is very convenient for calculating a loan. You can carry out any calculations without resorting to the help of specialists.

Interest rate

The interest rate is the cost of the loan offered by the bank. Each bank has its own lending programs for the population and offers different interest rates. Even within the same bank, the interest rate can vary greatly under different conditions. It may depend on factors such as the age of the borrower, his credit history, purpose of the loan, loan amount, availability of guarantors. It happens that banks provide their regular customers(for example, owners debit cards or persons who have already used a loan) more favorable lending conditions than clients “from the street”. You can find out the current interest rates of banks on the websites of these banks.

Monthly payment type

Another parameter that influences the calculation result is the type of payment. An annuity is a payment in which the amount of the monthly payment remains unchanged throughout the entire loan term. Differentiated is a type of payment in which the amount of the monthly payment decreases towards the end of the loan term. This happens due to the fact that the share of the principal debt remains unchanged, and the share of interest decreases every month, as the total amount of debt decreases. The most common type of payment is the annuity.

The loan calculator is convenient to use to compare results for different initial values, thus choosing the optimal loan terms for yourself. The ability to save the results will further simplify this process.

Ovulation, the date of which you can calculate right now, is the only day in the month when a woman can become pregnant. Many ladies take the opportunity to calculate ovulation online in order to bring the long-awaited motherhood closer. Other women, on the contrary, try to protect themselves from unplanned pregnancy in this way. But, unfortunately, both programs and doctors can make mistakes. And if in the first case, calculating ovulation with a calculator is done more for the sake of interest, then in the second, an incorrect result can lead to very negative consequences. So, you shouldn’t place all your hopes only on this method.

But if you still decide to try, then you should understand what ovulation is, how to calculate it, and what you need to know and be able to do for this.

One of the most popular, accessible and reliable methods is to draw up a chart based on the results of basal temperature measurements. To compile it, you will need to measure your rectal temperature every day for at least 3 months in the morning, while not forgetting to enter all the data obtained into a tablet in order to create a graph later.

The next way is to determine when ovulation occurs using a test, calculate it, or rather, you can clearly see the result without using a calculator or a graph. The test must be done several days in a row. The test strip itself is practically no different from the one used to determine pregnancy, and the technique is also not new. The only difference is in the chemical reactions.

Ovulation, calculate, calculator, all kinds of tests and charts, ultrasound - all these terms and actions - it’s so difficult and expensive. But you can trust your own feelings! When a woman’s body is ready to conceive, it begins to send certain signals. First of all, this affects sexual desire - it becomes noticeably stronger. The amount of vaginal discharge also increases. But the main thing here is not to confuse this natural cyclical process with an infectious disease. Some women may feel discomfort in the area of ​​the ovary where the egg has matured. Well, confirming the accuracy of all the above signs, finding out whether ovulation occurred, calculating online, using a calendar - all this is not a problem.

But keep in mind that the only 100% method of calculating this favorable, and for some, dangerous day, is ultrasound.