How to calculate crypto prices?

As a cryptocurrency enthusiast, I'm often curious about the intricate mechanisms behind determining crypto prices. Could you elaborate on the key factors that influence these volatile values? Are market sentiment and trading volumes primary indicators? Do algorithms and high-frequency trading play a significant role? Furthermore, how do regulatory changes and news events impact crypto prices? I'm particularly interested in understanding the interplay between traditional finance and cryptocurrencies. Do these traditional metrics like GDP and interest rates have any correlation with crypto prices? Lastly, could you provide a step-by-step guide on how to calculate crypto prices, considering all these variables?