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

Question 6

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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) erTE[STK]N(d2) e ^ { - r T } E ^ { * } \left[ S _ { T } - K \right] N \left( d _ { 2 } \right)
B) erTE[STK]N(d1) e ^ { - r T } E ^ { *} \left[ S _ { T } - K \right] N \left( d _ { 1 } \right)
C) erTE[max(0,ST) ]Ke ^ { - r T } E ^ { * } \left[ \max \left( 0 , S _ { T } \right) \right] - K .
D) erTE[max(0,STK) ]e ^ { - r T } E ^ { * } \left[ \max \left( 0 , S _ { T } - K \right) \right] .

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