财 (cái): This character means “wealth,” “money,” or “property.” The radical on the left, 贝 (bèi), originally depicted a cowrie shell, which was used as an early form of currency in ancient China. Thus, 贝 is found in many characters related to money and value.
政 (zhèng): This character means “government,” “politics,” or “administration.” It's composed of 正 (zhèng) meaning “correct” or “proper,” and 攵 (pū), a radical that often signifies an action or “to tap.” Together, they suggest the “correct administration” or the actions of governing.
When combined, 财政 (cáizhèng) literally means “wealth of the government” or “financial administration,” perfectly capturing its meaning of public finance.