Question

In: Finance

Compute the future value of $2000 compounded forward for 7 years at a rate of 16...

Compute the future value of $2000 compounded forward for 7 years at a rate of 16 percent compounded annually, and then at 16 percent compounded quarterly.

Solutions

Expert Solution

Future value - Annual compounding PV×(1+r)^n
Here,
A Interest rate per annum 16.0%
B Number of years                                                  7
C Number of compoundings per per annum                                                  1
A÷C Interest rate per period ( r) 16.0%
B×C Number of periods (n)                                                  7
Present value (PV) $                                      2,000
Future value - Annual compounding $       5,652.44
2000×(1+16%)^7
Future value - Quarterly compounding PV×(1+r)^n
Here,
A Interest rate per annum 16.0%
B Number of years                                                  7
C Number of compoundings per per annum                                                  4
A÷C Interest rate per period ( r) 4.0%
B×C Number of periods (n)                                               28
Present value (PV) $                                      2,000
Future value - Quarterly compounding $       5,997.41
2000×(1+4%)^28

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