No. Doesn't work like that. To figure out the value of your $1000 in that scenario you need the total amount of dollars before the new printing and the total number of dollars after.
In our example there are $1,000 in circulation. Printing $85 actually reduces the value of each dollar by only 7.8%, so the Fed can play the game a little more in reality. They can print $93 to have the same effect as taxing you $85 (remember their newly minted dollars are worth less, too).
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