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Does a forward contract on a stock index have the same delta as the corresponding futures contract? Explain your answer.

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Does a forward contract on a stock index have the same delta as the corresponding futures contract? Explain your answer.
Answered Same Day Dec 24, 2021

Solution

Robert answered on Dec 24 2021
118 Votes
SOLUTION:
With our usual notation the value of a forward contract on the asset is 0
qT rTS e Ke  . When
there is a small change, S , in 0S the value of the forward contract changes by
qTe S  . The
delta of the forward contract is therefore qTe . The futures price is
( )
0
q TS...
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