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Let E∗(.)E ^ { * } ( .) Denote Risk-Neutral Expectations in the Black-Scholes Setting

Question 7

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Let E∗(.) E ^ { * } ( .) denote risk-neutral expectations in the Black-Scholes setting.Then,the Black-Scholes formula may calculated by taking the following expectation:


A) e−rTE∗[ST−K]N(d2) e ^ { - r T } E ^ { * } \left[ S _ { T } - K \right] N \left( d _ { 2 } \right)
B) e−rTE∗[SF−K]N(d1) e ^ { - r T } E ^ { * } \left[ S _ { F } - K \right] N \left( d _ { 1 } \right)
C) e−γTE∗[max⁡(0,ST) ]−Ke ^ { - \gamma T } E ^ { * } \left[ \max \left( 0 , S _ { T } \right) \right] - K
)
D) e−rTE′[max⁡(0,ST−K) ]e ^ { - r T } E ^ { \prime } \left[ \max \left( 0 , S _ { T } - K \right) \right]
)

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