The core value that you are violating if you hide information from your team about impending budget cut is : a. Trustworthiness
Not saying anything or not saying the whole thing to your co-workers and friends are considering hiding the truth from them and almost similar to lying. This will test how trust worthy you are. If you cannot trust them with any issues, you can expect for them not to trust you too which is not a healthy mindset and relationship in work.
