Question

The Smiths are saving money for a down payment on a house. The Smiths have $25,000 in cash, and they estimate that in 5 years they will have approximately $31,000 if they deposit their cash in a savings account that compounds interest yearly. To calculate the $31,000 amount, the Smiths determined

Answer 1

Options :

A)net present value of the $25,000.

B)future value of the $25,000.

C)internal rate of the return on the $25,000.

D)present value of $25,000.

Answer: B)future value of the $25,000.

Explanation: The Smith's calculation and subsequent result which yielded $31,000 refers to the future value of $25,000. The initial $25000 is the present value of the amount held. If the initial amount is saved or deposited over a certain number of years in an account which yields a certain rate of interest per annum and is compounded either on a monthly, yearly, quarterly or semiannual basis as the case may be, in this scenario above, the interest is called mounded annually. This initial amount will grow and yield an amount which is greater than the present deposit. This is called the future value of the initial deposit.