percentage - a hundredth part of the number.Using it, you can calculate the proportion of all sizes.Simple Interest - the sum of which totals at the end of the billing period for the provision of the original loan.It is most often used for the calculation of the amount issued Accreted investments or loans.Bank money should "work" and bring income to the lender.In granting the loan there is an interest - this cost is calculated mathematically to be earned from the provision of loans.If income were only issued on the amount, it is called simple interest.Calculate it can be, with three indicators:
- amount of funds borrowed in or invested.
- interest rate - the rate required to calculate the amount of interest.It is a contract between the lender and the borrower.It is expressed as a percentage of a common fraction or decimal.
- Time interval - the period during which you must repay.
The longer the period for which the loan is given, the greater the interest of the lender.The standard interval in financial transactions often is the calendar year.So simple interest account for after this period on the amount received once, depending on the interest rate.
This scheme assumes that the base on which there is a charge, will be unchanged.Let taken credit (or investment) is equal to P, the interest rate - r.Cash in the debt taken on condition of simple interest, the lender if the capital increase in the year on the value of Pr.And after n years it will be able to receive the amount of Sn: Sn = P + Pr + ... + Pr = P (1 + nr).
In other words, if you take the amount of money in the bank in the amount of 10 thousand rubles for a simple percentage, for example 10%, at the end of the year have to pay 11 thousand rubles.
Sn = 10000+ 10,000 x 10% = 11,000 rubles.
After two years, this amount will be 12 thousand rubles, and in three years - 13 thousand rubles.Since
formula consists of four variables, it is possible to solve the four types of tasks.First - this is a direct determination of accrued and three reverse of business: the amount of investment, interest rate and time credit.This calculation is correct, if the time was still lending.Then, from this it follows that the interest rate is equal to:
r = S / P - 1 / n.
If we want to calculate in the months simple interest, the formula will have a different look.Let the time interval is given 3 months, then r = S / P - 1:
R3 / 12 = P + Pr / (12 x 3).
Calculate the percentage of the amount for a certain period is simple, using the formula of simple interest.For ease of calculation we transform bet in decimal.For that its value is divided by 100 (r / 100).
in banking contracts specified interest rate, which is set for a period of one year.You can use it to determine the amount of income.If this value divided by the number of days in a year, it is possible to determine the amount of interest a day.The amount of daily percentage multiplied by the required period, give us the income for the current period.
example, the amount of the original loan S - 200 thousand. Rub.Interest rate - 14.5%.Billing period is one month (or 31 days).Objective: To calculate the necessary amount to be paid for the loan.Solution:
14.5 x 200/100 x 31/365 = 2,463 thousand. Rub.
