Relative prices of digital calls struck atm on a and b

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Suppose we have a liquid market in call options for all strikes at expiry T on each of stocks A and B. The implied vols of at-the-money call options on A and B are the same. The smile of A is horizontal ATM and that of B is downwards sloping. What can we say about the relative prices of digital calls struck ATM on A and B?

Reference no: EM131187577

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