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A binary call option pays out if , For example, the "delta" of at-the-money binary options becomes very large close to expiry, which in practice makes such options difficult to hedge (Snapshot 1). Another example is the "theta" of binary calls,

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Managing risks of Digital payoffs - Overhedging. The following daigram shows the delta and the gamma for the digital option. Overhedging - Barrier/Digital options hedged as option spreads. As an example let's consider a binary option in the figure below booked as a call spread.

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Delta is a measure of an option's sensitivity to changes in the price of the underlying asset. Delta for example, with respect to call options, a delta of 0.7 means that for every $1 the underlying stock increases, the call option will increase by $0.70.

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Option gamma is the rate of change of an option's delta relative to a change in binary underlying. In other words, option gamma can determine the degree of delta move. Hedge example, if a call option has delta option delta option 0.

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A binary option is a financial exotic option in which the payoff is either some fixed monetary amount or nothing at all. [2] [3] The two main types of binary options are the cash-or-nothing binary option and the asset-or-nothing binary option.

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