Impact of ETF Approval on Bitcoin Capital Inflow - Seeking Mathematical Insights

Hello everyone,
I'm looking for some insights into the mathematics or the economic reasoning behind the potential capital inflow into Bitcoin around the time of a Bitcoin ETF approval. There's a lot of speculation and predictions, but I'm curious about the concrete estimations or models that might explain this event and its potential impact on Bitcoin's price.
Specifically, there are predictions suggesting Bitcoin could reach $100k by 2024 and $150k by 2025, partly attributed to the ETF approval. Can anyone shed light on how these figures are estimated? What are the key factors or models that can help understand this expected surge?
Any detailed explanation or resources on the math behind these predictions would be greatly appreciated. I'm trying to get a better grasp of how such significant price milestones are calculated in relation to major market events like an ETF approval.
Thank you in advance for your insights!