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Calculation of Future Value

Future Value of a Single Cash Flow- Cash Flow at one time only


The Future Value of a single cash flow (compounded annually) can be calculated with the help of following formula:


FV = PV(1 + i)^n


The term (1 + i)^n is the compound value factor (CVF) of a lump sum of Re 1, and it always has a value greater than 1,


Fn = P x CVFn,i



Future Value of Annuity- Stream of Equal Annual Cash Flows


(Stream of Equal Annual Cash Flows)


Annuity is a fixed payment or receipt each year for a specified number of years. If you make a payment of insurance premium over an agreed period, you have created an annuity.


FVAn = A [(1+r)^n -1/r]


FYAn- Accumulation at the end of years n 

A-Amount deposited invested at the end of every year for n years

r-Rate of interest (expressed in decimal)

n-Time horizon

Calculation of Future Value


The term within brackets is the compound value factor for an annuity of Re 1, which we shall refer as CVFA.


Fn=A*CVFAn,i



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