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4. (Continuous-time carrying charges) Suppose that a continuous-time compounding framework is used with a fixed interest rate r. Suppose that the carrying charge per unit

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4. (Continuous-time carrying charges) 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 qS(t). Show that the theoretical forward price of a contract with delivery date T is 4. (Continuous-time carrying charges) 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 qS(t). Show that the theoretical forward price of a contract with delivery date T is

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