Everything else being equal, the higher the interest rate, the higher the future value (true).
Interest rate and future value have a positive relationship. The higher interest rate is, the higher the future value. The lower interest rate is, the lower the future value.
For example, if a person invests 1000 for a year at an interest rate of 20% and his sister invests 1000 for a year at 10%. Their future values are:
(1000 x 1.20) = 1200
(1000 x 1.10) = 1100
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