The annotation @ShouldThrowException is expressive enough to be understood as meaning a generic Exception will be thrown (during deployment) unless a more specific exception is specified.

Therefore, a default should be specified for the value attribute such that:

@ShouldThrowException == @ShouldThrowException(Exception.class)

Here's the resulting annotation definition:

@Documented
@Retention(RUNTIME)
@Target(ElementType.METHOD)
public @interface ShouldThrowException {
   Class<? extends Exception> value() default Exception.class;
}

(Alternatively, the default can be Throwable.class, though the value of least surprise is likely Exception.class).