medium · Quantitative Finance

A stock follows Geometric Brownian Motion with a real-world expected return μ = 12% and volatility σ = 20%.

According to the lognormal property, what is the expected stock price at time T = 1 year if the initial price S_0 = 100?

  1. $120.00
  2. $112.75
  3. $112.00
  4. $110.52

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