medium · Quantitative Finance

Using a two-step binomial tree to price a 1-year European put with S_0 = 100, K = 100, σ = 0.20, and r = 0.05, the risk-neutral probability is p = 0.5539 with Δ t = 0.5.

If the terminal nodes for the stock are 132.69, 100.00, and 75.36, what is the estimated value of the put today?

  1. $2.59
  2. $5.57
  3. $10.99
  4. $4.67

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