Annuity cost = (original investment-residual income * compound interest present value coefficient+plus "annual operating cost present value")/annuity present value coefficient
= (original investment-residual income+residual income-residual income * compound interest present value coefficient+"annual operating cost present value")/annuity present value coefficient
= (original investment-residual value)/annuity present value coefficient+residual income *( 1- compound interest present value coefficient)/annuity present value coefficient+
Plus "annual operating cost present value"/annuity present value coefficient
= (original investment-residual value)/annuity present value coefficient+residual income * [1-1(1+I) n]/{[1-(1+I)-n]/I.
Add the "annual operating cost present value"/annuity present value coefficient, and the following formula can be obtained.
= (original investment-residual value)/annuity present value coefficient+residual income *i+∑ (annual operating cost present value)/annuity present value coefficient.
Extended data
In the annuity cost formula, the calculation and deduction of residual income are as follows
Since the present value coefficient of annuity = [(1-(1+i) (-n)]/i and the present value coefficient of compound interest = (1+I) (-n), the present value coefficient of annuity =( 1- present value coefficient of compound interest)/
Annuity cost = residual income ×( 1- annuity present value coefficient× discount rate)/annuity present value coefficient
Molecular multiplication:
= (residual income-residual income × present value coefficient of annuity × discount rate)/present value coefficient of annuity
Remove the brackets and become two items:
= residual income/annuity present value coefficient-residual income × discount rate
Associated with the previous negative sign, it is-residual income/annuity present value coefficient+residual income × discount rate.
Baidu encyclopedia-annual cost comparison method
Baidu Encyclopedia-present value coefficient of annuity