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Continuous exponential growth for BTC is unrealistic, as it would lead to extremely high prices by 2025.
Halvings cause supply shocks followed by rallies, creating growth cycles. My estimate for BTC's long-term goal by 2025 is around $150K to $180K, with minimal increase afterward, reaching an asymptotic price.
Important Points:
2016 bull run: BTC took 303 days after breaking its previous ATH to reach $19,666.
2020 bull run: BTC took 337 days after breaking its previous ATH to reach $69,000.
2024 bull run: BTC broke its previous ATH in 500 days and is now retesting it. Based on historical patterns, a 303-337 day bull run may follow.
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