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Since the deficit has only been this high a percentage of GDP two other times (WWII and Reagan), there isn't any data to demonstrate where the trigger point is.
However, studies done by me and others of econometric data indicate that the sustainability of economic growth through deficit spending is at best 5 years, and averages around 3.5 years.
After that point, there is a negative effect on the economy due to three principal things:
1) The velocity of money slows when the federal gov't spending becomes too large a fraction of GDP. (Remember GDP = C + GS + TP + NE) THe gov't is actually the slowest to transfer funds. They wait the longest to collect what they're owed, and the slowest to send that money back out. So, the reduction in the velocity of money causes the tautalogical mv = pq to cause "q" to drop. (Prices won't fall just because the gov't is taking too long to get the money into another cycle of circulation.) Less production means that eventually, "p" will rise. We call this "inflation". This effect is a relatively short term lag of a few months.
2) As demand for money by the federal gov't increases, the only attraction to divert from higher earning (though not guaranteed) investments is interest rate increases. As the interest paid on gov't securities goes up, the risk premium on other market securities goes down. This makes equity and capital markets less attractive and pulls money away from private sector development and innovation. This has a long term lag of 2 to 3 years.
3) Government spending of borrowed money, due in part to #2 above plus a myriad of other factors, does not enhance the employment markets. Thus, the longer range outlook for increased productivity and subsequent consumption are poor. Since consumption is around 70% of GDP, it should be obvious to any of us that less people with decent money to spend on goods and services will make GDP fall. That not only has a macroeconomic effect, but reduces profitability of firms big and small. This creates even greater downward pressure on wages and reduces employment opportunities further.
I published a paper on these effects (including all the mathematical models) back in 1994. I updated them with new data, but still the same model, in 2000. I have no reason to believe that those models are not still valid today.
The economy, as a whole, is a massive glacier. Moves slowly, intractably, and is not prone to sudden changes in dynamics. So, once causal relationships have been established and proven within the data, those conclusions should be equally valid.
Hope that helps. The Professor
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