Installment payment is mostly used for some product transactions with long production cycle and high cost. Such as the export of complete sets of equipment, large vehicles and heavy machinery and equipment. Installment payment means that after the import and export contract is signed, the importer pays a small part of the payment to the exporter as a down payment, and most of the rest is paid in installments after part or all of the products are produced and shipped, or after the goods are installed, debugged, invested and guaranteed.
The basic calculation uses the knowledge of the sequence of numbers: x = a (1+p) m [(1+p) (m/n)-1]/[(1+p) m-1].
Where A is the principal, P is the monthly interest rate, M is the number of months, N is the number of times, and X is the amount of each repayment. Generally m = n.
Then the interest paid should be: MX-A.
For example, the mortgage is 75,000 years. At this time, a = 70,000, p = 0.08m = 60n = 60, and x=? Pay interest of 60×? —70000= ........
In installment payment, we should also understand the calculation method of installment payment.
Compound interest: the current interest is included in the next principal, which is based on the sum of the principal and interest of the previous period. For example:
In daily life, in order to promote sales and facilitate customers to buy some high-priced goods, merchants often sell by installment. For example, if a customer buys a 5,000-yuan commodity by installment, the merchant requires to pay all the money within one year. At the same time, they also provide several payment schemes in the table below for customers to choose from.
Mathematical calculation:
Using the knowledge of sequence, there is an installment formula: x = a (1+p) m [(1+p) m/n-1]/[(1+p) m-1].
Where A is the principal, P is the monthly interest rate, M is the number of months, N is the number of times, and X is the amount of each repayment. Generally m = n.
Then the interest paid should be: MX-A.
For example, the mortgage is 75,000 years. In this era, a = 70,000, p = 0.08m = 60n = 60, x= 1473.55.
Pay interest of 60×1473.55-70000 =18413.2.
simple interest
Simple interest: the interest is calculated according to the initial principal of each period, and the interest of each period is not included in the next principal. Simple interest repayment method is divided into average principal repayment method and equal principal and interest repayment method.
(1). Average capital repayment method (hereinafter referred to as matching method): Also known as diminishing method, since the loan principal repaid by the buyer every month is the same, every time the principal is reduced, the interest of the next loan will decrease, so the loan principal and interest repaid in each period will decrease step by step. In this way, the monthly principal remains unchanged, and the repayment amount is the highest in the first month, and then decreases month by month.
(2) Equal principal and interest repayment method (hereinafter referred to as this method): the total amount of principal and interest is fixed every month, and the loan principal and interest are divided into several equal parts according to the loan term, and the total amount of principal and interest is the same every month. This way is convenient for buyers to plan funds;