View with subcategory link

I put the following code to display under the parent category. But there is no link to the subcategory.
Please help me how to change if the subcategories have links

<?php
$cat = get_category( get_query_var( 'cat' ) );
$cat_id = $cat->cat_ID;
$child_categories=get_categories(
    array( 'parent' => $cat_id )
);
foreach ( $child_categories as $child ) {
    // Here I'm showing as a list...
    echo '<li>'.$child ->cat_name.'</li>';
}

• This topic was modified 2 years, 8 months ago by t-p. Reason: Moved to Fixing WordPtress from Developing with WordPress