Developing countries are vulnerable to the adverse effects of climate change, yet there is disagreement about what they should do to protect themselves from anticipated damages. In particular, it is unclear what the optimal balance is between investments in traditional productive capital (which increases output but is vulnerable to climate change), and investments in adaptive capital (which is unproductive in the absence of climate change, but 'climate-proofs' vulnerable capital). We show * Address: Grantham Research Institute, London School of Economics, Houghton St, London, WC2A 2AE, UK Email: a.millner@lse.ac.uk. We are grateful for helpful discussions with David Anthoff, and comments from Alex Bowen, Sam Fankhauser., and seminar participants at Berkeley, EAERE, UNU WIDER, and the LSE/IGC conference on macroeconomics and climate change. AM was supported by a Ciriacy-Wantrup Postdoctoral Fellowship at UC Berkeley during part of this work. AM and SD's research has been supported by the Grantham Foundation for the Protection of the Environment, as well as the Centre for Climate Change Economics and Policy, which is funded by the UK's Economic and Social Research Council (ESRC) and by Munich Re. The usual disclaimers apply. 1 that, while it is unlikely that the optimal strategy involves no investment in adaptation, the scale and composition of optimal investments depends on empirical context. Our application to sub-Saharan Africa suggests, however, that in most contingencies it will be optimal to grow the adaptive sector more rapidly than the vulnerable sector over the coming decades, although it never exceeds 1% of the economy. Our sensitivity analysis goes well beyond the existing literature in evaluating the robustness of this finding.