The final value formula of annuity can be used for calculation.
I. Fixed investment at the end of the month
y= 1000*(( 1+ 1.5%)^n- 1)/ 1.5%
Second, fixed investment at the beginning of the month
y= 1000*( 1+ 1.5%)(( 1+ 1.5%)^n- 1)/ 1.5%
Note: it is motivation.
It is characterized in that the sum of the principal and interest at the end of the previous period is taken as the principal of the next period, and the amount of the principal of each period is different when calculating. It is mainly used to calculate the final value of principal and interest of multiple equal investments and the value of multiple equal payments.
The characteristic of compound interest calculation with extended data is that the sum of the principal and interest at the end of the previous period is taken as the principal of the next period, and the principal amount of each period is different when calculating. The formula for calculating the principal and interest of compound interest is f = p (1+I) n.
The calculation of compound interest can be divided into intermittent compound interest and continuous compound interest The method of calculating compound interest on schedule (such as year, half year, quarter, month or day) is intermittent compound interest; The calculation method of instant compound interest is continuous compound interest. In practical application, the calculation method of discontinuous compound interest is generally adopted.
App application
(1) Calculate the final principal and interest value of multiple equal investments.
At the beginning of each interest period, make equal investment in P, and the final value at the end of n interest periods is: VC = P (1+I) × [(1+I) n-1]/i.
Obviously, when n= 1, Vc = P×( 1+i), that is, at the end of the first interest period, the final value only includes the equal amount of investment and its interest. When n=2, Vc = P×(2+3×i+i×i), that is, in the second interest period. In construction projects, bidders need to borrow money for many times or use their own funds to invest. Assuming that the amount invested each time is the same and the interval is the same, the project payment M can only be obtained after the project acceptance. If VC >；; M, the bidder should not bid.
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