medium · Quantitative Finance

A stock trades at S₀ = 100. In a one-period binomial tree, the price can move to S_u = 120 or S_d = 90. The risk-free rate is r = 5% continuously compounded for a period of T = 1. Calculate the risk-neutral probability p^* of an upward move.

  1. 0.504
  2. 0.513
  3. 0.333
  4. 0.400

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