The government is debating whether to spend $100 billion to reduce global warming damage 100 years from now on. It is estimated that $ 800 billion of damage will be averted. A critic of the expenditure says that it would be far better to take the $100 billion, invest it in the stock market, earning an average return of 6 percent per year, and use the proceeds of the investment in 100 years to repair the damage. Should the project be undertaken?