不规则现金流的现值与终值-（年金四）

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不规则现金流的现值与终值

The Present Value and Final Value of Irregular Cash Flow

不规则现金流是指每期现金流不等的一系列现金流，利用现金流折现的基本原理即可计算不规则现金流的现值与终值Irregular cash flow refers to a series of cash flows with different cash flows in each period. The present value and final value of irregular cash flow can be calculated by using the basic principle of cash flow discount.

例题Example投资某为期3年的项目，第1期期末有300元的现金流入，第2期期末有600元的现金流流入，第3期末有200元的现金流流入，利率为10%，求这个项目的现值与终值To investin a three-year project, there are 300 yuan cash inflow at the end of the first period, 600 yuan cash inflow at the end of the second period and 200 yuan cash inflow at the end of the third period, with interest rate of 10%. The present and final value of the project can be calculated.

解析analysis不规则现金流现值与终值的计算原理与年金相同，将不同期现金流按复利折现到相应时间点即可。The calculation principle of irregular cash flow present value and final value is the same as that of annuity. It is enough to discount cash flow of different periods to corresponding time points according to compound interest.

画出终值现金流图Draw a final cash flow chart

1、终值将每期现金流按10%复利折现到第3期期末即可。The finalvalue will be discounted by 10% compound interest to the end of the thirdperiod.FV=200 600×(1 10%) 300×(1 10%)²=1233 2、将每期的现金流折现,按10%的复利折现到第0期即可Discount cashflow of each period at 10% compound interest to phase 0.PV=300÷（1 10%） 600÷（1 10%）² 200÷（1 10%）³=918.86现金流图如下(The cash flowchart is as follows)