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Compounded Value of a Series of Cash Flows: - We have considered merely single payment made once as well as its accumulation effect. An investor possibly interested in investing money in instalments and wishes to know the value of its savings after n years.
FV = A (1+i) n ----------- + A (1+i) 2 + A (1+i) 1+ A
Where FV = Future value of the preliminary flow in n years
PV= Initial Cash flow
i= Annual rate of interest
n = No. of years for which compounding is done.
A = Amount deposit or invested.
Illustration: - Mr. X invests Rs.500, Rs.1000, Rs.1500, Rs. 2000 and Rs. 2500 at the end of each year for 5 years. Compute the value at the end of 5 years compounded annually if the rate of interest is 5% p.a.
FV = 500 (1+0.05)4 + 1000 (1+0.05) 3+ 1500 (1+0.05) 2 + 2000 (1+0.05) 1+2500
FV = Rs. 8020
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