A prediction contest asks whether Nvidia stock could close below $100 in 2026, down from its current $184 price. The author estimates a 10% probability, challenging simple random walk models. This requires analyzing stock volatility and expected returns over a long horizon, where growth eventually outweighs noise.

The core issue is that stock price movements are dominated by short-term volatility, not long-term growth. Using 2025 data, Nvidia's signal-to-noise ratio is -1.4 dB, meaning noise is stronger. A simple model ignores that volatility isn't constant, making a drop to $130 more likely in a turbulent market.

Options traders provide a better tool by estimating implied volatility from market prices. By analyzing a December 2026 $100 call option, we can reverse-engineer market expectations. A binomial model simulates daily price paths, showing how option values depend on the chosen volatility parameter and strike price.