Can't get appropriate response from confirm password.

//Problem Hints are are shown even when form is valid
//Solution hide and show them at appropriate times
var $password = $("#password");
var $confirmPassword = $("confirm_password");

//Hide hints
$("form span").hide();

function passwordEvent(){
  //Find out if password is valid
  if ($password.val().length > 8) {
    //hide hint if valid
    $password.next().hide();
  } else {
    //else show hint
    $password.next().show();
  }
}

function confirmPasswordEvent() {
  //find out if password and confirmation match
  if ($password.val() === $confirmPassword.val()){
    //hide hint if matched
    $confirmPassword.next().hide();
  } else {
    //else show hint
    $confirmPassword.next().show();
  }

}

//When event happens on password input
$password.focus(passwordEvent).keyup(passwordEvent).focus(confirmPasswordEvent).keyup(confirmPasswordEvent);


//When event happens on confirmation input
$confirmPassword.focus(confirmPasswordEvent).keyup(confirmPasswordEvent);