Okay, so this is only marginally mathematical, but here's a link to my brilliant (?) proposal for resetting Japan's currency roughly at parity with the US dollar (as it was, not that you asked, back when the yen was adopted in 1871, a hundred years before I got here). The paper at the link is in Japanese; in it, by way of summary, I propose keeping the yen but introducing the "rin" (輪) as the new primary currency unit, with 1 rin equal to 100 yen (and thus, at the current exchange rate, roughly equal to US$1).
Link: 新デノミ論 (Shin denomi ron)
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