Suppose that a continuous-time compounding framework is used with a fixed interest rate (r). Suppose that the

Question:

Suppose that a continuous-time compounding framework is used with a fixed interest rate $r$. Suppose that the carrying charge per unit of time is proportional to the spot price; that is, the charge is $q S(t)$. Show that the theoretical forward price of a contract with delivery date $T$ is

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