explain the concepts of compounding and discounting(Time Value of Money), and give practical examples of each.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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explain the concepts of compounding and discounting(Time Value of Money), and give practical examples of each.

Expert Solution
Step 1 Concept of compounding

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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