### Compounded Interest (Present Value)

Compounded interest is when interest is immediately re-invested.
This is an example of a Geometric Sequence where a series of numbers are multipled by a fixed amount.

#### Annual Compounded

If you receive £50 in 3 years time what is this worth today if the interest rate is 6% with annual compounding?  If you receive £50 in 185 days time what is this worth today if the interest rate is 6% with annual compounding?  #### Semi-Annual Compounding

If you receive £50 in 3 years time what is this worth today if the interest rate is 6% with semi-annual compounding?
Semi-annual compounding means that the interest is calculated and re-invested every 6 months.  #### Quarterly Compounded

If you receive £50 in 3 years time what is this worth today if the interest rate is 6% with quarterly compounding?  #### Monthly Compounded

If you receive £50 in 3 years time what is this worth today if the interest rate is 6% with monthly compounding?  #### Daily Compounded

If you receive £50 in 3 years time what is this worth today if the interest rate is 6% with daily compounding?  