What determines ICO prices?

As a cryptocurrency enthusiast and investor, I'm often curious about the intricacies behind Initial Coin Offering (ICO) prices. Could you elaborate on what key factors typically determine the pricing of an ICO? I've heard rumors about market sentiment, project fundamentals, and even the team's reputation playing a role. But I'd like to have a more comprehensive understanding. For instance, how much do supply and demand influence pricing? Do external factors like regulation and overall crypto market trends come into play? Lastly, is there any data or historical examples you could cite to back up your assertions? Your insights would be greatly appreciated.