medium · Quantitative Finance

A stock is modeled on a two-step binomial tree. At the lower mid-tree node (S_down), the two possible successor payoffs at expiry are 0 (for the up move) and 24.64 (for the down move).

If the risk-neutral up-probability is p = 0.5539 and the discount factor for one step is e^-rΔ t = 0.9753, what is the value at the S_down node?

  1. 13.65.
  2. 10.99.
  3. 24.03.
  4. 10.72.

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