Explain why the sum of prices of the call-on-a-call and call-on-a-put is equal to the price of

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Explain why the sum of prices of the call-on-a-call and call-on-a-put is equal to the price of the call with expiration T2. Show that the price of a European call-on-a-put is given by 3 Option Pricing Models: Black–Scholes–Merton Formulation

c(S, t) = Xe-(2-1) N(a2, -b; -p) - SN(a, b; -p)  er(T) XN (a2), where a1,b1,a2 and b2 are defined in Sect. 3.4.4

Use the relation 

N(a, b; p) + N(a, b; p) = N(a).

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