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CD paying 2.75% interest continuously for 5 years gives you a payment of $194.60 at end of the 5 years. What is the original principal?

 Mar 31, 2016
 #1
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The appropriate formula is:  A  =  Pert

where:  A  =  final amount     P  =  beginning amount     r  =  rate (as a decimal)     t  =  time     e  =  2.71828...

 

For this problem:  interest  =  2.75%     --->     r  =  0.0275'

                             time  =  5 years     --->     t  =  5

                             payment  =  $194.60     --->     A  =  194.60

                             original principal is unknown

 

A  =  Pert     --->     194.60  =  Pe0.0275 x 5     --->     194.60  =  Pe0.1375     --->     194.60 / e0.1375​   =  P

                   --->    P  =  169.60

 Mar 31, 2016
 #2
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Convert 2.75% from nominal rate to effective annual rate=2.788161511.

PV=FV[1 + .02788161511]^-5

PV=194.60 x 0.87153434....

PV=$169.60

 Mar 31, 2016

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