Here is an example shell script that determines whether a given file exists in the home directory or not:

#!/bin/bash

# Check if the given file exists in the home directory

if [ -f "$HOME/$1" ]; then

# The file exists in the home directory

   echo "The file $1 exists in the home directory"

else

# The file does not exist in the home directory

   echo "The file $1 does not exist in the home directory"

fi