Risk-neutral up probability

In a one-step binomial model with up factor u=1.2u=1.2, down factor d=0.9d=0.9, and gross risk-free return R=1.05R=1.05, what is the risk-neutral probability of an up move? (to 2 decimals)

Show hints (2)+
  1. p = (R − d) / (u − d).
  2. R is the gross (1+r) risk-free return.

Answer

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0.5 (± 0.01)

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