Consider the value of a European call option written by an issuer whose only asset is

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Consider the value of a European call option written by an issuer whose only asset is α (

ST - X a ST aST STX  0 if if STX a STand zero otherwise. Show that the value of this European call option is given by (Johnson and Stulz, 1987) 

cL(S, t; X, a) = c(S, t; X)  (1  a)c (S, T; X ). - 1  a < 1, X where c(S, T;) is the value of a European

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