Pricing binary options. The price of a binary option, ignoring interest rates, is basically the same as the CDF ϕ(S) (or 1−ϕ(S)) of the terminal probability distribution. Generally that terminal distribution will be lognormal from the Black-Scholes model, or close to it. Option price is. C=e−rT∫∞Kψ(ST)dST. for calls American Call Option (Cash or Nothing).

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American Binary Option Pricing: 3 Period Binomial Tree Model

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