This would represent a 50 per cent increase over today in the share of global GDP (gross domestic product) in high or extreme risk countries, said the assessment by British risk consultancy Maplecroft.
Most of these countries are ill prepared to deal with more severe floods, storms, droughts and sea-level rise likely to result from a warming planet, and the report said much investment is required in flood and other defences to protect infrastructure and assets.
The 67 countries at highest risk include economic giants India in 20th place and China at number 61.
Topping the list was Bangladesh, followed by Guinea-Bissau, Sierra Leone, Haiti, South Sudan, Nigeria, the Democratic Republic of Congo, Cambodia, Philippines, Ethiopia, the Central African Republic, Eritrea and Chad.
The United States and much of Europe are in the "low" risk category -- partly because they had more money to spend on adaptation measures.
"Many of the global growth markets are located in countries that are acutely vulnerable to climate change," said the report that measured risk of exposure in 193 countries along with their capacity to adapt.
"The growing economic importance of cities in developing countries may increase exposure of assets, investments and supply chains to the impacts of climate change," said the report.
"Cities with some of the biggest economic growth potential are among those with the greatest vulnerability to climate change."
London and Paris are the only cities classified as "low" risk in an analysis of 50 cities.
The UN has set a target of limiting global warming to 2.0 degrees Celsius over pre-Industrial Revolution levels in order to avoid its worst effects.
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