hard · Quantitative Finance derivatives

A stock is currently trading at S = 100. Using a two-step binomial tree to price a 1-year European call option with a strike of K = 100, assume an annualized volatility of σ = 20% and a risk-free rate of r = 5%.

If the time step is Δ t = 0.5, what is the fair price of this call option today?

  1. $10.22
  2. $9.54
  3. $11.15
  4. $9.78

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