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 |