Interest = Amount - Principal
Let Principal = P, Rate = R% per annum, Time = n years.
When interest is compound Annually:
| Amount = P | ![]() |
1 + | R | ![]() |
n |
| 100 |
When interest is compounded Half-yearly:
| Amount = P | ![]() |
1 + | (R/2) | ![]() |
2n |
| 100 |
When interest is compounded Quarterly:
| Amount = P | ![]() |
1 + | (R/4) | ![]() |
4n |
| 100 |
When interest is compounded Annually but time is in fraction, say 3
years.
| Amount = P | ![]() |
1 + | R | ![]() |
3 | x | ![]() |
1 + |
R |
![]() |
| 100 | 100 |
When Rates are different for different years, say R1%, R2%, R3% for 1st, 2nd and 3rd year respectively.
| Then, Amount = P | ![]() |
1 + | R1 | ![]() |
![]() |
1 + | R2 | ![]() |
![]() |
1 + | R3 | ![]() |
. |
| 100 | 100 | 100 |
Present worth of Rs. x due n years hence is given by:
| Present Worth = | x | . | |||
|
06:19 PM, 16-Dec-2017