Suppose at time 0 you have arranged to be paid at time \(T\) the amount \(\int_{0}^{T} S(t) \mathrm{d} t\), where \(S(t)\) is the spot price at \(t\) of a commodity that can be shorted and has zero carrying cost. The interest rate is \(r\). How much is this arrangement worth now, at time 0 ?