In: Finance
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.
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 |