Abstract This paper studies sensitivity and continuity of finite horizon optimal plans in a general multi-sectoral model of intertemporal optimization which admits non-convexities and technological change. Unlike the aggregative model, investment choices are sensitive to the length of the decision horizon. A new concept of value insensitivity is proposed. It is shown that under this measure, values, unlike investment choices, are indeed insensitive to horizon length even in the multi-sectoral model. Finally, continuity of investment choices and values, in going from the finite to the infinite horizon problem, is established.