Which of the following statements is $($are$)$ true concerning the intrinsic value of an option.

$(1)$ An out$-$of$-$the money put option has zero intrinsic value.

$(2)$ The intrinsic value of an option is always greater than the time value.

$(3)$ An in$-$the$-$money call option has an intrinsic value equal to the total premium price

$(4)$ An at$-$the$-$money call option has no intrinsic value.

Choose one answer.

Group of answer choices

$1$ and $2$

$1$ and $4$

$2,3$ and $4$

$1,2,3$ and $4$