rethrowing exception in finally block

I have written a function as below, In try block I am throwing IOException which is handled by next catch block and its again throwing FileNotFoundException, In the finally block I again throw a NULLPointerException. so my question is FileNotFOundException exception is unhandled exception? why the caller function only get NULLPointerException only,Although FileNotFounException is unhandled(what I am assuming)?

static void fun(){
        try{
            throw new IOException();
        }
        catch(IOException e){
            throw new FileNotFoundException();
        }
        finally{
            throw new NullPointerException();
        }
    }