explain the concepts of compounding and discounting(Time Value of Money), and give practical examples of each.
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The term compounding can be defined as future value of persent investment. Future value is an amount you will reccived after a particular period by investing today. In compounding, both principal and interest earn returns. Since money will grow continuously.
The following formula can be used for future value/compounded value.
Future amount =Investment*(1+i)n
where i= rate of interest
n = number of compounding
Exemple
Mr. David has deposit $50000 in bank for 2 year. Bank gives interest rate 10% par annum compounded yearly. What amount will Mr. David reccived after 2 year.
Single amount deposit =$50000
rate of interest(i) =10%
number of compounding(n) =2
Future amount =$50000(1+0.10)2
=$50000*1.10*1.10
=$60,500
Hence $50,000 deposit by Mr. David today, will give future value of $60,500 after 2 year by compounding.
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