Financial Mathematics → Effective Interest Rate
The relation between Effective Rate of Interest and the Force of Interest.
We know that the Interest Earned is calculated by the formula:
In case of Effective interest rate and the force of interest, the Interest Earned is calculated by the formula
Interest Earned = Investment × Effective Rate of Interest
Example 1.
If a large pension fund with a value of $2000 million is assumed to grow steadily subject to a constant force of interest of 10% per annum, how much interest is earned every second?
Solution:
Using the formula for Effective Rate of Interest, we have
And, the interest earned = investment x effective rate of interest
So,