Consider an American put option on an asset which pays no dividend. Show that the early exercise

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Consider an American put option on an asset which pays no dividend. Show that the early exercise premium e(S, τ; X) is bounded by 

er rX rX * e- N() d  e(S, t; X)  rx [*e- N(-) d, fe where de In S* (T) S* (0) S* (x) = + (r  02 ) X 1 +97' 2r

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