Confirm that P(S, t) in (8.24) satisfies (8.25)–(8.27). P(S, t) = Ee^ (−r (T−t)) N(−d2) − SN(−d1). (8.24) P(S, T ) = max(E − S(T ), 0). (8.25) P(0, t) = Ee^(−r (T−t)), for all 0 ≤ t ≤ T. (8.26) P(S, t) ≈ 0, for large S. (8.27)

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