How to get the text of the selected option using vuejs?

I want to get the text of a selected option input and display it somewhere else. I know how to do it using jQuery but I want to know how can we do it using Vuejs.

Here is how we do in jQuery. I mean the text of Selected Option not the value.

var mytext = $("#customerName option:selected").text();

Here is my HTML

<select name="customerName" id="">
         <option value="1">Jan</option>
         <option value="2">Doe</option>
         <option value="3">Khan</option>
   </select>

 {{customerName}}

Now how can I display the selected option under it. like Jan, Doe, Khan ?