Question: A digital option is one in which the payoff depends in a discontinuous way on the asset price. The simplest example is the cash-or-nothing option,

A digital option is one in which the payoff

A digital option is one in which the payoff depends in a discontinuous way on the asset price. The simplest example is the cash-or-nothing option, in which the payoff to the holder at maturity T is X1{St>K} where X is some prespecified cash sum. Suppose that an asset price evolves according to the binomial model in which, at each step, the asset price moves from its current value Sn to one of Snu and Syd. As usual, if AT denotes the length of each time step, d

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