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As far as Krugman, after his bullshit "we should have 7% targeted inflation policy" I can only assume that he either doesn't understand basic math or is a liar with an agenda. I assume it is the latter but I am willing to consider the former.
Without knowing the exact quote you are referring to, Krugman has advocated the Fed publicly announce a higher target rate for inflation.
Why?
He is proposing trying to change the calculus of investors and debt holders to hold onto Tbills and cash rather than invest in productive assets. Due to low inflation, there is little risk to companies just sitting on hoards of cash and wait out the storm. (ie not spend, not hire, wait for sure signs of demand)
Knowing that higher inflation will decrease the value of cash, they will be motivated to invest in assets which will offer a greater ROI over inflation. (ie workers, capitol investments, other growth opportunities.) They will be pushed into taking more risk rather than to wait out the slack in demand.
This decision also changes the operation of the Fed. They have a dual mandate for full employment and low inflation. Not always synchronous policies. He has criticized the Fed for too much focus on inflation (which has been low), and too little on unemployment (which has been high and stubborn.) Such an decision would force Fed into more action on employment rates.
This does not mean inf% will go to 7%. Just means Fed will only watch it and not worry even if it creeps to higher than avg levels. Say 4%. Keeps their eye on the employment ball.
Inf% cannot really rise w/o in increase in wages. Wages won't go up until employment gets better. So there are still natural checks on the system.
Since we are suffering and overburden of private debt and an uncompetitive export market, an added benefit is that value of debts go down faster, and a weaker $ will improve exports and job opportunities domestically. Also will make imports less attractive and aid trade balances.
His own critique of this policy is that it does not guarantee investments will be made in the US. That why he still favors more direct methods, but given the political paralysis, we need help wherever it can come from.
And I believe it was he who wrote something concerning the potential cost to service our debt in the future is greatly overstated. ..
Again not sure of quote. Krugman has worried about long term debt. He has questioned some of the calcs of % rate as being too high bc of dismissal of the liquidity trap. Long term conditions are serious, but has advocated a policy of worrying about the problem in front of us more than the one we imagine in the future. Has also pushed that fixing problems of today are essential to solving the future problems. One cannot be done w/o the other.