General synonyms:
* Anticipation - suggests a feeling of excitement or eagerness
* Hope - implies a desire for something to happen
* Belief - refers to a conviction about something being true or likely
* Assumption - implies a belief that is not necessarily based on evidence
* Presumption - suggests a confident belief, often without sufficient evidence
More specific synonyms:
* Requirement - implies something that is necessary or demanded
* Demand - emphasizes a strong need or request
* Standard - refers to a level of quality or performance that is expected
* Goal - implies an objective that is aimed for
* Target - is a specific objective that is aimed for
* Desire - suggests a strong personal wish or longing
* Aspirations - refers to ambitious hopes or goals
* Forecast - indicates a prediction about the future
The best synonym to use will depend on the context of your sentence.