apreciar

To appreciate or value something — a gesture, a person's qualities, art — and also, more literally, to perceive or discern something subtle (apreciar una diferencia, apreciarse un ligero cambio). Common and neutral across registers.

• Aprecio mucho tu ayuda con la mudanza. — I really appreciate your help with the move.
• Se aprecia una ligera mejora en los resultados. — A slight improvement can be seen in the results.
• Sus colegas aprecian su honestidad. — His colleagues appreciate his honesty.

Using apreciar to mean "to appraise/value monetarily" without the specific financial context — that sense exists (tasar/apreciar el valor de algo) but is far less common than the everyday emotional sense of valuing someone or something.