Using the method of path counting, Sidenius (1998) showed that g + (x, T ) defined in

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Using the method of path counting, Sidenius (1998) showed that g+(x, T ) defined in (4.1.44b) has the following analytic solution

where 8+ (x, 7) = exp(-1/7) T) 2  (x; at, o T) - $(x; Brt , 0 T) 0 #T. O VT)]. =1 1 (x (x; , v) - exp(- (r =Find the closed form price formula of the European upper-barrier knock-in call option ciU [see Sect. 4.1.3 and Luo (2001)].

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