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Why is the value of a forward contract at the time of its origination equal to...

Why is the value of a forward contract at the time of its origination equal to zero?

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Forward contracts have an initial value of $ 0 because in the initial agreement of the contract there is no money that changes hands which means that no value can be attributed to the contract initially and therefore it has no intrinsic value at the origination or inception of contract.

The forward contracts are not required to make any initial or down payment unlike some future contracts and is therefore equal to zero at origination or inception.  

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