Simple interest final value = present value * simple interest final value coefficient: F=P*( 1+i*n).
Simple interest present value = final value * simple interest present value coefficient: P=F* 1/( 1+i*n).
Compound interest final value = present value * compound interest final value coefficient: F=P*(F/P, I, n) or f = p * (1+I) n.
Compound interest present value = final value * compound interest present value coefficient: P=F*(P/F, I, n) or p = f/(1+I) n.
Final value of annuity = ordinary annuity * ordinary annuity Final value coefficient: F=A*(F/A, i, n).
Sinking fund = final value * Sinking fund coefficient: A=F*(A/F, i, n).
Ordinary annuity present value = annuity * annuity present value coefficient: P=A*(P/A, I, n).
Capital recovery = present value * recovery coefficient: A=P*(A/P, I, n).
Final value of instant annuity = instant annuity * coefficient of final value of instant annuity: F=A*(F/A, i, n)*( 1+i).
Immediate annuity present value = immediate annuity * immediate annuity present value coefficient: P=A*(P/A, I, n)*( 1+i).
Time value of capital: A certain amount of capital can constantly create new value through labor in the production process, that is, the value of capital changes with time. If the capital is invested in a production enterprise, after building a factory building with this capital, machinery and equipment, raw materials, fuel, etc. will be purchased. All kinds of products needed by the market are produced through labor, and the income from product sales is the profit after deducting various costs and taxes.
The final value refers to the future value of monetary funds, that is, the value of a certain amount of funds at a certain moment in the future, expressed as the sum of principal and interest. The formula for calculating the final value of simple interest is F=P( 1+r×n), and the formula for calculating the final value of compound interest is F=P( 1+r)n, where f represents the final value; P stands for principal; R stands for annual interest rate; N represents the interest-bearing period, where (1+r)n is called the compound interest coefficient at the end of the period, and it is recorded as FVr, n, which can be found from the compound interest coefficient table at the end of the period.
Annuity is to receive and pay the same amount at equal intervals in a certain period of time. In economic life, annuity phenomenon is very common, such as equal installment, straight-line depreciation, equal monthly salary, equal cash flow and so on. Annuities are divided into ordinary annuity and early annuities according to the time of occurrence. Ordinary annuity, also known as post-paid annuity, is an annuity that occurs at the end of each period; An early annuity is an annuity that occurs at the beginning of each period.
The calculation of the final value of advance annuity is based on the final value of ordinary annuity, and its formula is: F=A×FVAr, n×( 1+r)=A×[FVAr, n+ 1- 1].
The calculation of the present value of advance annuity is based on the present value of ordinary annuity, and its formula is: P=A×PVAr, n×( 1+r)=A×[PVAr, n- 1+ 1].