of course it does... ask yourself:
would you build a road that would cost 100M, and it might pay it self in 20 years?
there is value? yes, in 20 freaking years
or will you spend it in a new factory, that would pay itself in 3 years?
i bet my virgin ass that most people will say factory
there is always a better investment, and it's the reason that most roads and railroads in the world were made by the gov
Your argument is one of short term vs long term. However, following your analogy, I believe you re incorrect. You are actually giving up a larger net benefit if you invest in the factor first.
I am making the assumption that both require the same investment amount, as your hypothetical would not make sense with out this assumption. If you break down the annual return on both investments, and the road gives a higher annual return then the factory, then the road investment would likely win if other factors are equal.
So, look at it from a 23+ view. If you first invest in a factory, you take 3 years to get back your investment. The 4th year is returns, but you can then invest in the road. For every year going forward, you are getting the returns from the factory, while waiting for the road return to pay back its investment. So, by the 23rd year, you have a much greater return on your investment than if you had done the road first.
I think you are trying to advocate that you should let the private sector do the factor, and then let the gov do the roads in parallel, but that makes an assumption that is very important and wrong. There are not unlimited factories to invest in. So, once the private sector fills the investment demand for the factory, other capital will flow to the road investment. Those who have capital would rather make a small profit vs no profit at all. If you believe that there is not enough capital in the private sector to invest in both, then your next flawed assumption is where the money would come from if the government wanted to invest in the road. Governments get revenue from taxes on the private market. So, had the government has the ability to invest in the roads, its because it took the money from the private sector. There will be some loss in the transfer of tax money, so the net effect in your hypothetical is a negative.
There is an argument for taxes and government investments, but your situation is one one. Pollution and 3rd party effects is a much better one.
