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If you print money, then each dollar is going to be less valuable. Increasing the supply of something reduces its price. Say the US printed $50 trillion tomorrow. The value of the USD would fall compared to foreign currencies because each dollar would be worth less (and because the rest of the world would think the Fed was off their heads). Inflation applies to buying things from other countries too. Or if you're currency is plunging, you don't have much room to lower interest rates.
Only so long as the USD is perceived to be valuable. What happens when they stop buying US bonds because they know that the only thing backing US bonds is more US bonds to be printed in future years? Interest rates on US bonds will have to rise, borrowing will be more constrained. Massive deficit spending sucks capital out of the rest of the economy, it's not a good thing.
Look at how much govt revenue the US is spending just on paying interest. It's verging towards the territory of the dodgy countries like Angola, rather than the safe countries like Australia or Norway: https://tradingeconomics.com/country-list/interest-payments-percent-of-revenue-wb-data.html
Oh inflation, yeah that will continue and definitely feeds into exchange rates when different from other currencies. In the story about how people thought $100 million was too much government debt in the early 1800s, then $2-3 billion sounded crazy after the civil war, then $20 billion, $1 trillion, $30 trillion, etc., that's obviously also underscoring that over time inflation changes the value of a single dollar. All the prices just have to adjust, which can be annoying and unpleasant but not apocalyptic, especially if the inflation is fairly low/constant over short time frames.
Although more accurately the identity is MV≡PQ where all parts can be independent, bringing in quantity of goods sold and especially velocity, which both can't simply be assumed to be fixed. So if the $50 trillion is issued (and counted in whatever monetary aggregate you want to use) but it just sits in an account, then you can say that M went way up and V went way down, with the price level unaffected.
If the hypothetical is that the government actually pushes out $50 trillion in spending tomorrow, it would massively juice GDP and also a ton would come back in taxes, but yeah the price level would adjust well upward from that kind of shock (with some short-term chaos) and the exchange rate would move accordingly (or more). The question for importing though (and the economy in general) isn't what a single dollar can buy, but what all the dollars can buy. And as for americans themselves, some may wish to say 'this isn't worth the paper it's printed on anymore', but they still have to pay taxes every year payable only in USD, and pretty soon in this hypothetical, the median annual income tax bill might go from ~$15k to $100k+.
There just isn't evidence that inflation or national debt are disastrous powder kegs waiting to explode. On the other hand, every time the national debt was significantly reduced, it ended with our only depressions. Which makes sense, because the government debt is simultaneously the non-government net savings, and things get dicey when you drain the savings from the private sector and force up private debt:
That's the 'bond vigilantes' threat story, but it's just not a relevant factor in the real world of governments that issue their own currency and have their own central banks. Even with the self-imposed legal constraint that the Fed can't directly buy treasury bonds at auction or let the treasury's reserve account go negative/overdraft, they still effectively make sure that every single treasury auction goes off without a hitch at the policy rate (even 0% forever if they want). The NYFed manages primary dealer commercial banks who are tasked with this, in order to circumvent the law against 'direct' central bank funding.
Yeah I think it's crazy as well, although mainly because I find the argument compelling that they're currently wrong about whether low rates are inflationary / high rates are disinflationary, and that there's good evidence that it's the reverse (so all those years of 0% interest but they couldn't get inflation up to target 2%, and now years of inflation sparked by supply chain issues that stubbornly won't come down no matter how high they raise rates). Precisely because the government is a massive net payer of interest, so raising rates increases government spending, which we would expect to be expansionary not contractionary.
I'd agree with a policy of just setting the FFR at 0-1% and leaving it there, because it's just not a cleanly useful policy lever, and we shouldn't otherwise have any goal of the government subsidizing risk-free savings by choosing to pay interest.
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