Question

After the end of the second year and all other factors remaining equal, a future value based on compound interest will never exceed the future value based on simple interest.
a. True
b. False

The process of earning compound interest allows a depositor or investor to earn interest on any interest earned in prior periods.
a. True
b. False

Answer 1

Answer: 1. False

2. True

Explanation:

1. Compound Interest allows an investor to earn money on the interest that has already accrued to the investment instead of just on the original investment like Simple interest. For this reason, the future value of compound interest will always be larger than simple interest for the simple reason that Compound interest is being charged on an amount larger than the amount being used for Simpler interest.

2. The process of compound interest does indeed allow a depositor/ investor to earn interest on any interest earned in prior periods. For instance, if the interest rate on a $500 saving is 10% per annum and it is using Compound interest, in the first year the interest earned will be,

= 10% * 500

= $50

In the second year the interest earned will be,

= 10% * 500 + the previous year interest

= 10% * 550

= $55

Notice how the interest has increased.