Consider a forward contract on a non-dividend-paying stock. If the term-structure of interest rates is flat (that

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Consider a forward contract on a non-dividend-paying stock. If the term-structure of interest rates is flat (that is, interest rates for all maturities are the same), then the arbitragefree forward price is obviously increasing in the maturity of the forward contract (i.e., a longer-dated forward contract will have a higher forward price than a shorter-dated one). Is this statement true even if the term-structure is not flat?

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