Throw exception from spring controller which producces xml MediaType

I have the the following controller with one RequestMapping which produces an xml MediaType.

 @RestController
    @RequestMapping("/api")
    public class ArticleResource {

    @RequestMapping(value = "/xml/{id}", method = RequestMethod.GET, produces = MediaType.APPLICATION_XML_VALUE)
        public ResponseEntity<byte[]> getXml(@PathVariable(value = "id") String id,
                                              final HttpServletRequest request,
                                              final HttpServletResponse response) {
            InputStream inputStream = null;
            try {
                inputStream = new FileInputStream(path + id + ".xml");

            } catch (FileNotFoundException e) {
                throw new BadRequestException("No such xml exists");
            }
            try {
                return new ResponseEntity<byte[]>(IOUtils.toByteArray(inputStream), HttpStatus.OK);
            } catch (IOException e) {
                e.printStackTrace();
            }
            return new ResponseEntity<byte[]>(HttpStatus.NOT_FOUND);
        }
    }

The BadRequestException implementation is the following:

@ResponseStatus(value = HttpStatus.BAD_REQUEST)
public class BadRequestException extends RuntimeException {

    public BadRequestException(String message) {
        super(message);
    }

}

It works fine when the xml exists, but when the xml cannot be found I have a 406 error code. I suppose the problem occurs because it expects a xml media type and instead a RuntimeException is returned. How can I tackle with this issue?