Show that the delta of the price of an American put option on an asset which pays

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Show that the delta of the price of an American put option on an asset which pays a continuous dividend yield at the rate q is given by 

as where =-N(-d) d = dg, 1 = 6. [ - 9)e-q 2 In & + ( r  q +  ) x (r-q+) OT In 5 (-) + (r-q+7)  O E + qe9

Examine the sign of the delta of the early exercise premium when r ≥ q and r

ap as = 1 S  2 + e-d/2 (r-q)e-95 So  2 1. [150 -d.le qe q So 2 + e 41 de. Find similar expressions for and

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