Consider two bonds, A and B$,$ that have the same face value of $$100,$ the same coupon rate of $0\%,$ and the same yield $($to maturity$)$ of $5\%.$ If bond A has one year remaining to maturity and if Bond B has two years remaining to maturity, what is true about the price of bond A compared to the price of bond B$?$

Question $22$ options:

$1)$

The price of bond A is greater than the price of bond B$.$

$2)$

The price of bond A is less than the price of bond B$.$

$3)$

Both bonds will have the same price.

$4)$

There is not enough information provided to answer this question.

$5)$

None of the answers listed above is correct.