Question

Which of the following statements is true? The lower the discount rate that funds are invested at, the greater the future value. The shorter the time period that funds are invested, the greater the future value. The higher the interest rate, the slower the value of an investment will grow. The longer the time period that funds are invested, the greater the future value.

Answer 1

Answer: The longer the time period that funds are invested, the greater the future value.

Explanation:

When we are discussing about the time value of money, we are simply saying that it's better for one to have money today than wait till the future to have that particular amount of money. For example, if someone tells you to either collect $100 today or wait till next month to collect the $100 bill. According to the time value of money, it's better to collect it now as the person can invest with it and by the time it's a month, the value of the money will be more than $100.

The longer the time period that funds are invested, the greater the future value. This is because for example if for example one keeps $100 for 1 year at 6% per annum, the interest will be $6 for a year but if it's kept for 5 years, the simple interest will be $30.

This shows that the longer the time period that funds are invested, the greater the future value.