Using the Black's normal call formula (a) Show that the delta of a call option, (partial C(0)

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Using the Black's normal call formula

(a) Show that the delta of a call option, \(\partial C(0) / \partial A(0)\), equals \(N(d)\).

(b) Using put-call parity, compute the delta of a put option.

(c) What is the delta of an ATMF call?

(d) What is the delta of an ATMF call when using BSM's lognormal formula?

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