| Future Value of $100 at 5% annual interest compounded for various periods | |||||||||||||
| A(0)= $100 | r=.05 | S= number of compounding periods per year | |||||||||||
| Future value of account after N years with interest r compounded S times a year is A(N)=A(0)*(1+r/S)^(SN) | |||||||||||||
| S= | annually | semiannually | quarterly | monthly | daily | hourly | continuously | ||||||
| Number of years N | 1 | 2 | 4 | 12 | 365 | 8760 | Continuous Compounding: A(N)=A(0)*e^(rN) | ||||||
| 0 | $ 100.00 | $ 100.00 | $ 100.00 | $ 100.00 | $ 100.00 | $ 100.00 | $ 100.00 | ||||||
| 1 | $ 105.00 | $ 105.06 | $ 105.09 | $ 105.12 | $ 105.13 | $ 105.13 | $ 105.13 | ||||||
| 2 | $ 110.25 | $ 110.38 | $ 110.45 | $ 110.49 | $ 110.52 | $ 110.52 | $ 110.52 | ||||||
| 3 | $ 115.76 | $ 115.97 | $ 116.08 | $ 116.15 | $ 116.18 | $ 116.18 | $ 116.18 | ||||||
| 4 | $ 121.55 | $ 121.84 | $ 121.99 | $ 122.09 | $ 122.14 | $ 122.14 | $ 122.14 | ||||||
| 5 | $ 127.63 | $ 128.01 | $ 128.20 | $ 128.34 | $ 128.40 | $ 128.40 | $ 128.40 | ||||||
| 6 | $ 134.01 | $ 134.49 | $ 134.74 | $ 134.90 | $ 134.98 | $ 134.99 | $ 134.99 | ||||||
| 7 | $ 140.71 | $ 141.30 | $ 141.60 | $ 141.80 | $ 141.90 | $ 141.91 | $ 141.91 | ||||||
| 8 | $ 147.75 | $ 148.45 | $ 148.81 | $ 149.06 | $ 149.18 | $ 149.18 | $ 149.18 | ||||||
| 9 | $ 155.13 | $ 155.97 | $ 156.39 | $ 156.68 | $ 156.83 | $ 156.83 | $ 156.83 | ||||||
| 10 | $ 162.89 | $ 163.86 | $ 164.36 | $ 164.70 | $ 164.87 | $ 164.87 | $ 164.87 | ||||||
| 11 | $ 171.03 | $ 172.16 | $ 172.74 | $ 173.13 | $ 173.32 | $ 173.33 | $ 173.33 | ||||||
| 12 | $ 179.59 | $ 180.87 | $ 181.54 | $ 181.98 | $ 182.20 | $ 182.21 | $ 182.21 | ||||||
| 13 | $ 188.56 | $ 190.03 | $ 190.78 | $ 191.30 | $ 191.55 | $ 191.55 | $ 191.55 | ||||||
| 14 | $ 197.99 | $ 199.65 | $ 200.50 | $ 201.08 | $ 201.37 | $ 201.37 | $ 201.38 | ||||||
| 15 | $ 207.89 | $ 209.76 | $ 210.72 | $ 211.37 | $ 211.69 | $ 211.70 | $ 211.70 | ||||||
| 16 | $ 218.29 | $ 220.38 | $ 221.45 | $ 222.18 | $ 222.54 | $ 222.55 | $ 222.55 | ||||||
| 17 | $ 229.20 | $ 231.53 | $ 232.74 | $ 233.55 | $ 233.95 | $ 233.96 | $ 233.96 | ||||||
| 18 | $ 240.66 | $ 243.25 | $ 244.59 | $ 245.50 | $ 245.95 | $ 245.96 | $ 245.96 | ||||||
| 19 | $ 252.70 | $ 255.57 | $ 257.05 | $ 258.06 | $ 258.55 | $ 258.57 | $ 258.57 | ||||||
| 20 | $ 265.33 | $ 268.51 | $ 270.15 | $ 271.26 | $ 271.81 | $ 271.83 | $ 271.83 | ||||||
| 21 | $ 278.60 | $ 282.10 | $ 283.91 | $ 285.14 | $ 285.74 | $ 285.76 | $ 285.77 | ||||||