Which one of the following statements is not true?
a. the value of a dollar invested at a positive interest rate grows over time.
b. the further in the future you receive a dollar, the less it is worth today.
c. a dollar in hand today is worth more than a dollar to be received in the future.
d. the further in the future you receive a dollar, the more it is worth today.

b. The further in the future you receive a dollar, the less it is worth today.

Explanation:

Any dollar received today is more valuable in future as on a normal level there will be some sort of earnings associated with it.

Also, as further you receive a dollar the value of that dollar today is more as the discounting rate remains constant and with increasing number of years the discounting factor decreases.

As for example if $100 is to be received after 1 year its value today @ 10% = $100/0.909 = $110.01

If received at end of year 2 then value today = $100/0.826 = $121.06

Therefore, as further a dollar is received in future, more it is worth in present today.

Thus, out of all the above wrong statement is

b. The further in the future you receive a dollar, the less it is worth today.

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