You set the fetchLimit to 1 and sort by personId in descending order. E.g.:
NSFetchRequest *fetchRequest = [[NSFetchRequest alloc] initWithEntityName:@"Person"];
fetchRequest.fetchLimit = 1;
fetchRequest.sortDescriptors = @[[NSSortDescriptor sortDescriptorWithKey:@"personId" ascending:NO]];
NSError *error = nil;
id person = [managedObjectContext executeFetchRequest:fetchRequest error:&error].firstObject;