Swedish betrayal

I recently wrote two posts for the Sound Money Project about Swedish monetary innovation. The first is about an effort by the Swedish central bank—the Riksbank—to force retailers to accept cash, and the other is about the e-Krona, a potential Riksbank-issued digital currency.

This post covers a third topic. For many years now those of us who are interested in cash, privacy, and payments have had our eye on Swedish banknote demand. The amount of paper kronor in circulation has been declining at a rapid pace. Many commentators are convinced that this is due to the rise of digital payments. Since Sweden is at the vanguard of this trend, it is believed that other nation's will eventually experience similar declines in cash demand too.

But I disagree. While digital payments share some of the blame for the obsolescence of paper kronor, the Riksbank is also responsible. The Riksbank betrayed the Swedish cash-using public this decade by embarking on an aggressive note switch.  Had it chosen a more customer friendly approach, Swedes would be holding a much larger stock of banknotes than they are now. As long as other countries don't enact the same policies as Sweden, they needn't worry about precipitous declines in cash demand.

Banknotes are dead, long live banknotes

Across the globe, an odd pattern has played out over the last decade. The proportion of payments that are being made with cash has been rapidly declining thanks to the popularity of card payments. Sweden is no different in this respect, although it may be further along than most:

Source: Reserve Bank of Australia

Oddly, even as developed countries are seeing fewer transactions completed using cash, the quantity of banknotes outstanding has jumped. This increase in cash outstanding, which generally exceeds GDP growth, is mostly due to an increase in demand for large-value denominations, as the chart below illustrates:

Source: Bank for International Settlements

The BIS has a good explanation for this seemingly contradictory pattern. The demand for cash can be split into two buckets: means-of-payment and store-of-value. Banknotes earmarked as a means of payment are generally spent over the next few days. Demand for this type of cash is stagnating thanks to increased card usage. Not so the former. The demand to store $100 bills under mattresses and in safety deposit boxes in anticipation of some sort of disaster is booming. According to the BIS, this is due in part to low interest rates, which makes banknotes more attractive relative to a bank deposit or government bond.

The number of banknotes held as a store-of-value demand accounts for quite a large proportion of total cash in circulation. In a recent paper, Reserve Bank of Australia researchers estimated that 50% to 75% of Australian banknotes are hoarded as a store of value. Keep in mind that these sorts of calculations are subject to all sorts of assumptions. Australia's experience with cash probably applies to most other developed nations.

Sweden, a sign of what's to come?

Which gets us back to Sweden. Sweden differs from all other nations because of what is happening with its banknote count. The quantity of paper kronor outstanding has been consistently plummeting for a decade now, and currently clocks in at just half its 2008 tally:

Surprising, but for the first time in years, the number of Swedish krona banknotes in circulation is growing.

Has Sweden's push to become a cashless society come to an end? pic.twitter.com/T6l1q40Ssu

— JP Koning (@jp_koning) November 6, 2018

Even Norway, which has probably proceeded further along the path of digital payments than Sweden, has experienced only a small decline in notes outstanding, nothing akin to Sweden's white-knuckled collapse. The key question is this: why have most developed nations experienced digital payments renaissances along with stability in cash demand, whereas Sweden's own renaissance has been twinned with a seismic drop in cash demand?

The answer to the question is important. Many commentators (including Ken Rogoff) are convinced that the rest of the world's nations will eventually find themselves in the same situation as Sweden. The allure of digital payments will inevitably lead to an all-out Swedish-style desertion of cash.

I'm not convinced. As I mentioned at the outset of this post, the Riksbank shot itself in the foot by carrying out an aggressive currency swap between 2012-2017. This swap did incredible damage to the paper kronor "user experience", or UX. In response, discouraged Swedes fled from cash and substituted into less awkward alternatives like bank deposits. Let's take a closer look at Sweden's 'great note switch'.

The 'great' note switch

Every decade or two central banks will roll out new banknotes with updated designs and anti-counterfeiting measures. This is good policy since it cuts down on fake notes. These switches are generally carried out in a way that ensures that the public's user experience with cash remains a good one throughout. The best way to maintain cash's UX during a changeover period is to allow for long, or indefinite periods of concurrent circulation between old and new notes. Concurrent circulation cuts down on confusion and hassle endured by note users.

Let me explain with an example. Up here in Canada, the Bank of Canada introduced polymer banknotes between 2011 and 2013. But no time frame was placed on the demonetization, or cancellation, of previous paper $5, $10, $20, $50, and $100 notes. Since we all knew from the get-go that we would be free to spend or deposit old Canadian banknotes whenever we got around to it, we didn't have to go through the hassle of rounding up old notes stored under our mattresses and bringing them in for new ones. Apart from the novelty of polymer notes, we hardly noticed the switch to polymer.

Not so with Sweden's rollout of new banknotes. Rather than allowing for a long period of concurrent circulation between old and new notes, the Riksbank announced a shot-gun one-year conversion window for legacy notes. After that point, all old notes would be declared invalid.

For instance, the new 20, 50, and 1000-krona notes were all introduced on October 1, 2015. Swedes had until June 30, 2016—a mere 273 days later—to spend the old notes at retail outlets, after which it was prohibited for retailers accept old notes. If they had missed that window, the Swedish public then had another 62 days—till August 31—to deposit them in banks. After that, all old 20, 50, and 1000 notes would invalid. Owners of invalid banknotes could bring them to the Riksbank, fill out a form explaining why the due date had been ignored, and for a fee get valid ones.

The same shot-gun approach characterized the rollout of the new 100 and 500 the following year. Swedes had 273-days to spend old 100 and 500-krona notes, and another 365 days to deposit them at banks.

I've pasted the time frame for the entire conversion below:

Source: Riksbank

The October 2015 and 2016 switches were preceded by a preparatory demonetization in 2012. At the time, Sweden had two types of 1000-krona note in circulation. The version that had been introduced in 2006 had a special foil strip to combat counterfeiters, but the 1989 version did not. In November 2012 the Riksbank announced that Swedes would have 418 days—till Dec 31, 2013—to use old 1000 notes without foil strips. After that date the notes would be invalid.  

That outlines Sweden's hectic changeover timeline. Now, let's go back to 2012 and put ourselves in the shoes of Hakan, a Swede who has stashed a few 1000-krona banknotes in anticipation of emergencies or other exigencies. In 2012, Hakan would have learnt that all of his 1000-krona notes without foil strips would have to be replaced or declared invalid.

How to deal with this annoyance? Hakan could have replaced them with 1000-krona notes with foil strips, but the Riksbank had also communicated that notes with strips were to be invalidated by 2016. Replacing them with 500 notes would be equally inconvenient, since these were scheduled to be replaced in 2017. Rather than committing himself to a string of inconvenient switches, Hakan may have simply given up and deposited his notes in a bank.

Below I've charted the evolution of Sweden's notes-in-circulation by denomination:

Note the massive 50% decline in 1000-krona notes outstanding between the end of 2012 and 2013. Granted, the 1000-krona was already in decline prior to then. But without the aggressive 2012-13 demonetization, this decline would have been much less precipitous.

Even more glaring is the drop in the number of 500-krona notes beginning in 2015 as the conversion period approached. Rather than swapping old 500-krona notes for new ones, or 1000-krona notes, Swedes instead choose to deposit them in the bank. After enduring a stream of inconvenient note exchanges, were cash users like Hakan simply sick of their product expiring on them? 

A natural experiment: Norway v Sweden

Neighbouring Norway serves as a good control or benchmark for studying Sweden. Both nations have similar tastes for digital payments and cash, identical banknote denomination structures, and their currencies trade close to par. But unlike Sweden, Norway did not implement a massive note replacement effort. This gives us some clues into how Sweden's switch may have affected demand for the paper kronor.

Below I've separately charted the evolution in the value of each nation's stock of 500 and 1000 notes, and the combined large denomination note stock (1000s + 500s).

During the 2015-2017 changeover period, demand for Sweden's 500-krona note plummeted, but uptake of the Norway's 500-krone note continued to grow nicely (first chart). The aggressive demonetization of 2012-13 coincided with a big drop in the quantity of Swedish 1000-krona notes. Meanwhile, the rate of decline in the quantity of Norwegian 1000-krone notes continued as before (second chart). What message do I take from these two charts? Given two otherwise equal nations, the one that subjects its citizens to an aggressive note swap will experience a large decline in the popularity of the targeted note.

As for the last chart, the total value of Swedish high denomination banknotes was once twice that of Norway's count. But it is now equal to that of Norway, despite the fact that Sweden has twice the population. My guess is that if the Riksbank hadn't inflicted a series of aggressive demonetizations on Swedes, folks like Hakan could have blissfully ignored the entire changeover, and Sweden would still have a much bigger note count than Norway. The black dotted line gives a hint of where Sweden might be now if the pre-changeover trend in kronor banknote demand had continued.

Why did the Riksbank betray the Swedish public?

Why didn't the Riksbank adopt the same policy as the Bank of Canada during its own massive note switch? In the charts above its quite easy to point out when the 500-krona and 1000-krona notes were replaced. But try spotting when Canada switched from paper to polymer banknotes:

You can't, because it was a gentle switch, one that didn't hurt cash's UX.

Patriotic Swedes might counter that Sweden isn't Canada, it has its own way of doing things. But during previous Swedish note introductions, long windows of concurrent circulation were the standard. For instance, when the 1000-krona note that was printed from 1952-1973 was replaced by a new 1000 note in 1976, the legacy note remained valid for more than ten years after that, until Dec 31, 1987. And when the next series of 1000-krona notes was rolled out in 1989, the legacy note was accepted until December 1998. Long windows, not short ones, is the Swedish tradition.

A March 2018 report from the Riksbank entitled Banknote and coin changeover in Sweden: Summary and evaluation gives some insights into why a shot-gun switch was chosen instead of a user-friendly approach. Very early on the process, the Riksbank began to consult with firms involved in the movement of cash including the BDB Bankernas Depå AB (a bank-owned cash depot operator), the Swedish Bankers’ Association, the larger banks, ATM operators, and others. One of the questions that was discussed was how long the old banknotes should remain valid. In April 2012, these market participants submitted their preferred timetable for the changeover. One of their preferences was for:

"...the old banknotes and coins to become invalid after a relatively short period so that they could avoid having to manage double versions of the banknotes and coins for an extended period."

These same market participants also requested that the Riksbank demonetize the old 1000-krona notes without foil strips. Removal of this older series meant one less version to manage once the new 1000-krona note was debuted in 2015. Market participants also hoped that the old banknotes wouldn't be exchanged for new ones, thus reducing the total amount in circulation. If you are wondering why bankers might want fewer banknotes outstanding, go read my 'conflict of interest' section a few paragraphs below. 

The timetable that ended up being adopted by the Riksbank in May 2012 was basically the same one proposed by industry. So there you go. The Riksbank introduced a shot-gun approach because that's what Swedish bankers wanted. But in designing the changeover to be convenient for banks, the Riksbank threw the Swedish public under the bus. Nor was it unaware of the inconvenience it was imposing on Swedes. According to the March 2018 report:

"The Riksbank was aware that the timetable would lead to complications for the general public in that there would be a number of different dates to keep track of. The need for information activities would be increased. However, the Riksbank considered that the interests of the cash market were more important..."

Now, if the Riksbank had justified the shot-gun switch as a way to flush tax cheats out, I might be more sympathetic. At least an argument could be made that the public's welfare was being served by imposing a series of inconveniences on them. But as the above quote indicates, the motivations for quickly invalidating old notes was much less nuanced than this. The Riksbank deemed that the 'complications' that the general public had to endure simply weren't as important as the 'interests' of the banks. Full stop.

There is a huge conflict of interest involved in consulting with banks about cash's future. Sweden's bankers would have been quite pleased to provide the most awkward timetable imaginable. After all, they would have been the main beneficiaries. The more Swedes who forsake cash to pay with cards, the more fees banks earn. Furthermore, each kronor that is held in the form of cash is a kronor that isn't held at a bank in the form of a deposit. Banks lust after consumer deposits because they are a low-cost source of funding. One wonders if the Riksbank fully understood this conflict of interest.

Notes for the future

The decline in the kronor count has finally been reversed. In the tweet I embedded above, the amount of paper kronor in circulation rose in 2018, the first increase in many years. The impositions on the the kronor's UX over the last five years are finally drawing to a close. Now that they no longer have to worry about timetables and expiry dates, are Swedes like Hakan finally returning to the market?

The great irony is that the Riksbank, having caused a big chunk of the decline in 1000 and 500-krona note usage, is suddenly getting quite worried about this trend. Earlier this year, Riksbank governor Stefan Ingves lamented that

"There are those who think we have nothing to fear in a world where public means of payment have been replaced completely by private alternatives. They are wrong, in my opinion. In times of crisis, the general public has always sought refuge in risk-free assets, such as cash, that are guaranteed by the state. The idea of commercial agents shouldering the responsibility to satisfy public demand for safe payments at all times is unlikely."

The Riksbank may even roll out an e-Krona, a digital currency designed to meet Swede's desire for "continued access to a means of payment that is risk-free and guaranteed by the state." Odd that Ingves is now so concerned about Swedish access to a risk-free payments medium when he was so willing to ignore the interests of Swedish cash owners just a few years before.

Sweden will probably have to go through another note switch sometime in the late 2020s. I hope that when it comes, Swedish bankers will get a little bit less representation at the table and the Swedish public a bit more.

As for concerned citizens and central bankers in other countries that are planning to introduce new notes, we can all learn some lessons from Sweden's 2012-2017 changeover. Aggressive note switches may be good for private bankers, but they hurt cash-using citizens.  The long-window approach to note switches, not Sweden's shot-gun method, is the customer-friendly approach.

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Dedicated to my favorite Swedish hockey player:

Christmas and cash

Merry Christmas and Happy New Year to all my readers. And to everyone who left a comment this year, thank you. It's always fun to debate things over in the comments section and I feel it makes the blogs themselves stronger. Don't forget to check out the discussion board where we had a number of interesting discussions in 2018.

The last time I published my Christmas cash usage chart was in 2015. I figured it was high time to update it:

The annual Christmas spike in U.S. banknote demand is getting harder and harder to pick out in the chart. So are the monthly upticks coinciding with payrolls. Most people are getting pretty comfortable buying stuff with cards. And so they are less likely to take cash out of an ATM before the holiday chaos or withdraw grocery money after a paycheck has been deposited.

Even though transactional demand for dollars is on the downswing, the stock of Federal Reserve banknotes continues to grow at a healthy pace. The slope of the black line (i.e. its growth rate) may not be as steep as it was in the 1970s, 80s, or 90s, but it is certainly steeper than it was in the 2000s. It is typical to divide cash demand into two buckets. Cash held for transactional purposes gets folded into a wallet. Cash held for store-of-value purposes gets buried in back yards or hidden under mattresses. Continued growth in the demand for U.S. dollars is mostly due to the latter, not only in the U.S. but all over the world. 

Here is the same chart for Canada:

Both the Christmas bump and the sawtooth pattern arising from monthly payrolls are less noticeable than previous years. But these patterns remain more apparent for Canadian dollars than U.S. dollars. Not because Canadians like cash more than Americans. We don't, and are probably further along the path towards digital payments then they are. Rather, the percentage of U.S. dollars held overseas is much larger than Canadian dollars, so domestic usage of U.S. cash for transactions purposes gets blurred by all its other uses.

Like the demand for U.S. dollars, the demand for Canadian dollars is growing at a healthy rate. So far the slope of the black line (2016-2018) is a bit steeper (i.e. its growth rate is higherr) than all other periods except for the earliest one, 1987-1987. Paper Canadian dollars aren't going away anytime soon.

These were my top posts of 2018 by order of popularity:

Two notions of fungibility
Did Brexit break the banknote?
The €300 million cash withdrawal
"The Narrow Bank"
Bitcoin and the bubble theory of money

Two older posts got a lot of visitors too.

Ghost Money: Chile's Unidad de Fomento (2013)
Fedcoin (2014)

Who knew that Chile's strange indexed unit of account, the Unidad de Fomento, would be a draw?

My favorite post of the year was Paying interest on cash. I like this policy. It helps the lower-income and unbanked earn interest. It also provides a means for central bankers to promote cash usage, which in turn helps keep financial privacy alive. And economists should like it, since it fulfills the Friedman rule.  

For those of you who don't know, I've also been doing much more paid writing in 2018. Prior to that, blogging was more of a hobby. Here are the venues I've been writing for: Breaker, Bullionstar, and the Sound Money project. If you don't have much time to check out my articles, here are my favorites from each:

Bitcoin Is Perfect for Cross Border Payments (Except for One Big Problem) - Why I don't use bitcoin for getting paid.
The future of cash: Iceland vs Sweden - We always assume that Scandinavians are moving away from cash, but Iceland shows that this isn't the case.
Pricing the anonymity of banknotes - Should financial anonymity be provided in abundance, banned, or should we pay for it?

Lastly, R3 just published my paper on a central bank digital currency for Brazil.

My paper for @inside_r3 exploring the idea of a Brazilian central bank digital currency is up: https://t.co/2oHwE5AYNt pic.twitter.com/4jOp7Q3vQb

— JP Koning (@jp_koning) December 9, 2018

Many of the points I make apply just as well to any other country.

Can lottery tickets become money?

Say that the local lottery system has decided to innovate. Lottery tickets can now be used as money. A ticket with a face value of $x can be used to buy $x worth of stuff at any checkout counter in the country. Or they can be held in digital form and transferred instantaneously across the lottery's new payments system to friends, the utility company, or the government tax department.

With the payments infrastructure in place, will people actually use lottery tickets to pay their bills, transact with friends, or settle their taxes? Can lottery tickets become money-like?

I'm skeptical. Here's my thinking. Say that Jane has just bought $10 worth of digital lottery tickets. At the same time she's chosen to leave $10 in her bank account (she likes the fact that they aren't risky). She spies a coffee stand and suddenly has an urge to buy a $2 coffee. When she arrives at the till, how will she decide to pay? With lottery tickets or deposits?

By paying for the $2 coffee with a bit of both—$1 in lottery tickets and $1 worth of bank deposits—she could end up with $9 of each, re-attaining her pre-coffee 50/50 allocation. But let's assume that every transaction is a bit costly to make, both in terms of time to completion and the small fixed fee associated with each payments network. So paying with both will be too expensive. She'll have to choose one or the other.

A lottery ticket is more than just a bet. Jane is investing in a fantasy in which she is fabulously rich. So from Jane's perspective, swapping her lottery ticket for a mere cup of coffee would be silly. Once she owns it, her ticket is worth more than hundreds of cups of coffee. A form of Gresham's law kicks in. Given that the coffee seller accepts both lottery tickets and deposits at their face value, Jane will only spend her deposits, which she perceives as being overvalued, while hoarding the lottery ticket, which she thinks are being undervalued by the coffee seller. If every lottery player is like Jane, than 'undervalued' lottery tickets will never circulate as money.

Jane could of course consider buying the coffee with lottery tickets only to purchase replacement tickets in time for the draw. But there's always a risk that she'll forget, or not have enough time because something unforeseen suddenly intervenes. By paying with a boring deposit, she doesn't have to fear missing out on a jackpot.

If it seems unlikely that Jane will want to purchase the coffee with a lottery ticket, what about Jim, who owns the coffee stand? Would he prefer to receive lottery tickets or bank deposits?

Again, a mix of the two instruments would be costly for him to accept given a doubling up of payments processing fees. In the unlikely event that Jim is also a lottery player and hasn't yet bought his tickets yet, then he may prefer that Jane buys a coffee with lottery tickets.

Consider that Jim has a constant stream of business expenses ahead of him, but rarely knows precisely when he'll have to make a purchase. Because the lottery tickets will most likely expire worthless in the future, they don't provide him with a suitable means of solving for his future uncertainty. Deposits, on the other hand, will always retain their value. As long as he keeps them on hand, he knows that he can meet his bills. So I think that Jim will probably prefer that Jane pays with deposits. (See more here).

In the unlikely event that Jane insists on paying with lottery tickets, Jim will probably acquiesce—the customer is always right. Since he doesn't want to be exposed to the uncertainty of lottery tickets, he will probably try to exchange them as quickly as possible for deposits, but this will be subject to a conversion fee. Anticipating this expense, Jim could very well decide at the outset to incentivize Jane to pay with deposits. He might place a small surcharge on lottery ticket payments, or offer a small discount if customers pay with deposits. Jim might even pretend that his lottery payments terminal is broken.

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The combination of Jane's reticence to pay with lottery tickets, a form of Gresham's law, and Jim's preference to avoid them will doom lottery tickets as money. Even though the infrastructure is in place for lottery tickets to be transported instantaneously from one person to the other, the incentives just aren't present. Investing in the infrastructure turned out to be a waste of money.

I think this setup also explains why bitcoin has never been adopted as a form of money. Like Jane's lottery ticket, a bitcoin owner's bitcoins aren't just bitcoins, they are a dream, a lambo, a ticket out of drudgery. Spending them at a retailer at mere market value would be a waste given their 'destiny' is to hit the moon. Sure, a bitcoiner can always spend a few precious bitcoins on a coffee, only to replenish his stock later in the day. But this would be dangerous, since bitcoin's price could spike at any moment. Far safer to spend one's deposits and hoard one's bitcoins.

Even when they claim to be accepting bitcoins, retailers like Jim actually rely on intermediaries like BitPay to step in and purchase the bitcoins while relaying dollars to the retailer. For instance, see last month's post on Ohio tax payments.

I also wonder how well my story fits with other examples of volatile media being used as money. For instance, John Cochrane has blogged about a world where one might trade an "S&P500 index share for a candy bar." If lottery ticket buyers and bitcoin owners are consuming a dream, then perhaps an  owner of an equity ETF is doing the same. In which case, no one would bother buying candy bars with stocks, and so building out the payments infrastructure necessary to facilitate this would be pointless.

No, Ohio isn't accepting bitcoin tax payments

Anthony Pompliano, or Pomp, is at it again. Some of you may recall his odd claims about bitcoin adoption in Argentina, which I took apart here. Well, the following tweet wandered onto my twitter stream a couple of days ago.

For more, here is the Wall Street Journal.

So let's get this straight. The Ohio state government is not accepting bitcoin as payment for taxes. Rather, it is sponsoring a gateway that allows business owners to offload their bitcoins on the market in the moments prior to tax settlement. Now that actual dollars having been obtained, the tax obligation can now be settled. Take a look at the FAQ at ohiocrypto.com.

"At no point will the Treasurer’s office hold cryptocurrency. Payments made on OhioCrypto.com, through our third party cryptocurrency payment processor partner BitPay, are immediately converted to USD before being deposited into a state account."

Here's an example of how this might work. Let's say an Ohio business owner has to pay $10,000 in taxes. By logging into ohiocrypto.com, she can sell $10,000 worth of bitcoins to a payments processor called BitPay. BitPay in turn quickly sells those bitcoins for the requisite amount of dollars on a bitcoin exchange like Coinbase, and then forwards the $10,000 (in fiat) to the State of Ohio. Dollars, not bitcoins, are being accepted for taxes.

Ohio's announcement is not a big deal, certainly not one deserving of a WHOA. In addition to bitcoin, there are all sorts of assets that we taxpayers can offload in the moments before settling our tax bill. Once we know how much we owe, we can sell an appropriate amount of Tesla shares, then forward the dollar proceeds to the state. This sort of at-the-last-second sale is exactly what is happening with ohiocrypto.com, except an intermediary—BitPay—has been introduced to expedite the final step. We can do the same with gold, or silver, or property. Heck, using Pomp's definition we can even pay our taxes with an old IKEA sofa. Quickly sell the sofa at a low price on kijiji, deposit the cash, then settle the tax bill with an ACH payment to the government. The whole process won't take longer than 45 minutes.We don't even need to pay an intermediary like BitPay to process it.

The sad thing is that ohiocrypto.com is a big waste of taxpayer funds. Only a handful of businesses are ever going to use it. Say that our Ohio business owner has some dollars in her bank account as well as some bitcoin. She owes the state $10,000. According to the FAQ, the fee for going the Bitcoin route is 1%, which means she'll pay a fee of $100. Meanwhile, an ACH payment is free. Unless she has some sort of soft spot for paying with bitcoin, a quick and simple calculation means the she will never opt to use ohiocrypto.com, preferring to use old-fashioned but free ACH.

I'm being generous with my example. I've assumed that our business owner already happens to have enough bitcoin on hand to send her payment to ohiocrypto.com. But if she doesn't (which is likely to be the case), then that only multiplies the unlikelihood of her ever going via Ohio's new bitcoin route. To fund her $10,000 payment to ohiocrypto.com, she'll first have to endure the hassle and expense of acquiring enough bitcoins ahead of time. Given that she must still incur BitPay's 1% fee to settle her taxes, its hard to imagine her ever bothering to embark on such a costly chain of transactions.

Don't blame BitPay for the high fee. It charges 1% because dealing in bitcoin is a nuisance. Not only must BitPay recoup the trading costs that it incurs by selling our business women's $10,000 worth of bitcoins (both commission and slippage), but in the time between accepting her submission and making the trade it must cope with bitcoin's volatility. BitPay is just trying to get by.

Why is Ohio going through with this project? Ohio Treasurer Josh Mandel, who is behind the effort, has this to say: "Around 2014, I developed an interest in crypto and now I consider myself a crypto enthusiast." Right. This project seems more to me like a fanboy's devotion to the cause than a genuine attempt to help the Ohioan taxpayer.

Back to Pomp. To end his tweet, he proclaims that the "virus is spreading." Not at all. A well-designed payment option will literally drag people in because it is so incredibly useful. This ain't it, Pomp. Not only is Ohio not accepting bitcoins (no doubt they are too volatile), but it is unlikely that Ohio businesses will adopt ohiocrypto.com. Ten years into Satoshi Nakamoto's payments experiment, it still hasn't succeeded in pulling in mainstream payees and payors. Let's face it. Bitcoin is just not that great of a payments system.

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...which isn't to say that bitcoin hasn't been successful. What Nakamoto didn't realize at the time is that he wasn't creating decentralized cash. Rather, he was creating what would eventually become one of the world's most popular decentralized financial games. Bitcoin is in the same category as the lottery or poker, not Visa or cash. If you think about bitcoin this way, you'll see why it is silly to set up payments gateways like ohiocrypto.com. If you were to offer someone the opportunity to buy $1 worth of goods with a $1 lottery ticket, they'd laugh at you. To a lottery player, their lottery ticket is their potential salvation, their route to becoming a millionaire. To use it to buy stuff would be sacrilegious. The same goes for bitcoin. People don't want to waste their prized bitcoins on buying stuff or making tax payments. No, their bitcoins are their ticket to riches.

The demonetization gap

Two years ago, Indian PM Narendra Modi suddenly demonetized all of the nation's ₹1000 and ₹500 banknotes. His stated goal was to exact justice on all those holding large amount of dubiously-earned cash. But since these two denominations constituted around 85% of India's currency supply, the demonetization immediately threw the entire nation into chaos.

After suffering from a nine-month note shortage, enough new notes were printed to meet India's demand for cash. But in the interim, what had happened to Indians' demand for cash? Did their experience with demonetization lead them to hold less cash than before, or did they simply revert to their pre-demonetization habits and patterns? I wrote an article in September 2017 dealing with these questions. With another year having passed we now have more data—so I'm going to provide quick update.

My claim is that a demonetization gap continues to exists. This gap is evidence that the cancellation of ₹1000 and 500s has had an enduring effect on Indians' behaviour surrounding cash.

To measure the gap, we need to compare the evolution of India's cash supply to the path it would have taken in a world in which Modi's demonetization never occurred. We know that the supply of rupee banknotes grew at an average rate of around 12.3% from 2011 to 2016, and on the eve of demonetization there were around ₹17.5 trillion in banknotes and coins in circulation. Taking these numbers and extrapolating forward, November 2018's cash-in-circulation count would have clocked in at around ₹21.5 trillion rupees had the demonetization not occurred. But in our actual world, the one where demonetization occurred, India's cash count registers at just ₹19.5 trillion rupees.

So thanks to demonetization, Indians are holding around ₹2 trillion fewer paper rupees than they otherwise would have. I've illustrated the demonetization gap below:

Today is the two-year anniversary of Modi's rather inept demonetization.

Interestingly, the demonetization gap—the difference between India's current banknote count and where it probably would have been without demonetization—is still quite large... pic.twitter.com/DvUnOlEjim

— JP Koning (@jp_koning) November 8, 2018

What sort of assumptions do we need to make in order for the demonetization gap to be zero? Let's say that demonetization had never occurred. To get from a currency stock of ₹17.5 trillion in November 2016 to ₹19.5 trillion by November 2018, we need to assume an absurdly low 6% growth rate for the stock of currency stock. I doubt India has ever experienced such a slow growth rate in cash-in-circulation. So while you can quibble with the size of the gap, I think it's undeniable that some sort of gap exists i.e. demonetization has had long lasting effects on cash holdings.

There are two potential explanations for why a demonetization gap exists. My guess is that both are to some extent true, although as time passes the influence of the second will tend to disappear:

1. Demonetization might have had a permanent effect on Indians' taste for cash. Prior to demonetization, a money launderer might typically have built up an inventory of ₹100 lakh (US$135,0000) worth of banknotes before laundering them. But the demonetization frightened him, so now he launders his ill-gotten gains whenever he holds just ₹50 lakh worth of notes.

Or maybe a family that typically conducted most of their day-to-day transactions in cash opened a bank account during demonetization so that they could deposit their notes. And now they've fallen into the habit of paying for half their family expenses with cash, and the other half with debit cards.

These sorts of changes to transactions preferences would get expressed in the nation's overall stock of notes by a reduction relative to trend.

2. Demonetization might have caused large and lasting damage to the informal sector of the Indian economy. With 85% of the nation's money stuck suddenly came unusable, and so many businesses dependent on cash, these businesses may have been forced to go under. With informal production cratering, fewer banknotes would be required for transactions purpose than would otherwise be the case. Over the long term, however, one would expect these sectors to rebuild, any drag they had once placed on cash demand being removed.

If Indian's taste for cash changed, how might these new tastes have manifested themselves? Did Indians swap cash for deposits in the regulated banking system or did they simply swap one form of anonymous "black money" for another (i.e. cash for gold, diamonds, real estate)? In my post from last September I found some interesting charts. I'm going to update them below.

As the chart above illustrates, the number of point-of-sale (POS) terminals installed has experienced a one-time shot to the arm after the November 2016 demonetization announcement.

The second chart shows that the value of POS transactions using debit and credit cards moved to a new and higher plateau.

The last chart shows the growth in value transacted using mobile wallets. Demonetization gave mobile wallet usage a quick shot to the arm, but it is difficult to determine if growth stayed above trend in 2017-18 or below. Given that mobile wallets are recent and started from a very low base, usage had already been growing very fast before demonetization.

In any case, I think the charts provide at least some evidence that the shift out of cash has been captured by digital finance.

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The existence of a demonetization gap does not mean that Modi's effort was a success. If someone comes up with a great monetary innovation, expect it to be quickly copied. Polymer banknotes, real-time gross settlement systems, and inflation targeting are all examples of monetary technologies that have spread from their original adopter to the rest of the world. But not a single nation has copied India's demonetization. I would be surprised if any ever do. The costs imposed by the event—lost labour time, foregone transactions, chaos—were all too apparent, and its benefits dubious.

That being said, I sympathize with the intuition that was at the core of Modi's demonetization. Let's face it, plenty of people use cash as a way to avoid taxes. These cheats force everyone else to pay more than their fair share for shared infrastructure. It would be nice if there was a way to rebalance the load by taking back resources lost to the cheats. A classic way to fix this problem is to have the tax department hire more inspectors. An alternative is to design the nation's cash system in a way that corrects for any unfairness. Modi's demonetization is an example of the second approach, a massive cash dragnet designed to flush out cheats.

But it was an incredibly clumsy effort. The tricky thing with cash is that it is simultaneously a vessel for tax evasion for a few cheats and also a vital monetary fluid for the many. Punishing the first group means that the second will also be hurt. If the costs incurred by the second group are too high, then the calculus behind the whole effort fails.

Modi's demonetization tried to lessen the blast radius by targeting users of large denomination ₹500 and ₹1000 notes while leaving users of the ₹10, ₹20, ₹50, ₹100, and ₹200 untouched. The motivation behind this was that presumably large tax cheats will concentrate their cash holdings in higher denomination notes, while regular note users will tend to concentrate in the lower denominations. But even with this filter in place, the ₹500 and ₹1000 were so widely held by Indians that the demonetization of these denominations forced a large proportion of the population to endure massive lineups for weeks. Retail trade ground to a halt.

Over the last two years I suggested a few ideas that would have improved the effectiveness of Modi's demonetization. Instead of targeting all ₹500s and ₹1000 notes, demonetizing notes by serial number would have resulted in a much smaller blast radius. Rather than withdrawing ₹500s and ₹1000s, it would have been easier to overstamp them with stickers, and then slowly withdraw these overstamped notes over time. This would have helped prevent massive cash shortages.

But even after these modifications, demonetization is too blunt of a tool to effectively solve the complicated inequities arising from cash-based tax evasion. So should Indians (and the rest of us too) simply live with these imperfections, accepting unfairness as an acceptable cost of maintaining cash systems?

Maybe not. In his paper Taxing Cash, Ilan Benshalom has suggested a less invasive technique for reclaiming resources from cash-using tax evaders. Rather than demonetizing all ₹500 and ₹1000s, Modi could have introduced a recurring withdrawal fee of ₹10 for each ₹500 note and a ₹20 rupee fee on each ₹1000 note.

Imagine that Rohit needs to pay Indira ₹10 lakh. The two can avoid taxes if they agree to transact using cash rather than making a digital payment. So Rohit withdraws one thousand ₹1000 bills from his bank. He incurs a fee of ₹20,000 (₹20 for each note), the bank forwarding the full amount to the government. Rohit might consider avoiding the withdrawal tax by withdrawing ₹50s and ₹100s (which don't incur fees), but he is unlikely to go this route since ₹10 lakh in small denomination notes would be terribly awkward.

The upshot is that Indian tax payers would get ₹20,000 in compensation for Rohit and Indira's evasion of taxes. Compared to Modi's demonetization, the blast radius of a large denomination withdrawal tax is much smaller. Regular Indians could have easily continued about their business using untaxed ₹100s or migrating to digital payments. It sounds promising, but after Modi's explosive demonetization, Indians are probably much less open to new monetary experiments, and who can blame them.

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There are several other ways to visualize Indian demand for cash over time. For instance, here is the cash-to-GDP ratio:

The idea here is that for each unit of GDP, some amount of cash is used as means of circulating production. (Note: While the cash-in-circulation numbers are current, 2018 Q2 nominal GDP has still not been published. I estimated it by assuming 11.5% nominal growth, the average growth rate over the last few years.)

Vivek Dehejia and Rupa Subramanya measure the ratio of cash-in-circulation to the total money stock, or M3. They find little evidence of a reduced reliance on cash. For the chart below, I've used M4 which includes not only chequing and savings deposits held at banks but also total postal office deposits:

The cash-to-M4 ratio is a bit lower than it was on the eve of demonetization. For each ₹100 held in accounts, Indians now only hold ₹14.9 in banknotes and coins, down from ₹16 in October 2016. Be careful with using the cash-to-M4 ratio as a measure of preferences for banknotes. If Indians want to hold fewer deposits and more government bonds, M4 declines, and so the cash-to-M4 ratio will rise. But preferences for cash haven't changed at all.

The credit theory of money

 
Over on the discussion board, Oliver and Antti suggest that I read two essays from Alfred Mitchell-Innes. Here are a few thoughts. 

A British diplomat, Mitchell-Innes was appointed financial advisor to King Chulalongkorn of Siam in the 1890s as well as serving in Cairo. He eventually ended up in the British Embassy in Washington where he penned his two essays on money. The first, What is Money, attracted the attention of John Maynard Keynes, while the second essay, The Credit Theory of Money—which was written in 1914—expounded on his views.

Both are interesting essays and worth your time. One of Mitchell-Innes's main points is that all money is credit. This may have been a controversial stance back in 1914, when people were still very much focused on metallic money, but I don't think anyone would find it terribly controversial today. If we look at the instruments that currently function as money, all of them are forms of credit, that is, they are obligations or "credits on a banker" as Mitchell-Innes puts it.

Having established his credit theory at the outset of his 1914 essay, Mitchell-Innes devotes much ink to patching up its weakest point: coins. Any critic will be quick to point out that the historical circulation of coins contradicts his claim that all money is credit. Coins, especially gold ones, were valued as commodities, not credit.

To protect his credit theory from this criticism, Mitchell-Innes downplays the role played by coins. So in What is Money he claims that for large chunks of history, the "principal instrument of commerce" wasn't the coin, but the medieval tally stick. These ingenious objects look like this:

Medieval tally sticks, an early example of public/private key technology https://t.co/DG1p5Sn399 pic.twitter.com/cOAz2PoiRZ

— JP Koning (@jp_koning) November 8, 2016

While I certainly like the idea of tally sticks, to claim that they were the main way of engaging in hand-to-hand trade during medieval times doesn't seem likely. Long and awkwardly shaped, tally stick are not nearly as convenient as coins. It's hard to see why anyone would prefer them. Just like the sleek US$1 bill has driven the bulky $1 coin out of circulation, one would expect coins to push bulky tally sticks out of general usage.

Alfred Mitchell-Innes once claimed that tally sticks—not coins—were the dominant medieval instrument of commerce: https://t.co/o4qimrRdGT

Seems unlikely, no? Why lug a bundle of heavy 8-inch long sticks in your pocket for making payments when coins took up much less space? pic.twitter.com/aIRW9Eghr3

— JP Koning (@jp_koning) October 30, 2018

Mitchell-Innes's second, and more radical, line of defence is to claim that coins themselves are a form of credit. "A government coin is a "promise to pay," just like a private bill or note," he says. Elsewhere he writes: "A coin is an instrument of credit or token of indebtedness identical in its nature with a tally or with any other form of money, by whomsoever issued."

This is a strange idea. Why would anyone issue a financial promise encoded on gold? For instance, imagine that I owe you some money. To give physical form to my debt, you ask me to write out an IOU which you will keep in your pocket. But why would I inscribe my promise on something expensive like a gold disc, especially when I could simply record it on a cheap and lightweight piece of paper? Larry White puts it better here:

"This account fails to explain, however, why governments chose bits of gold or silver as the material for these tokens, rather than something cheaper, say bits of iron or copper or paper impressed with sovereign emblems. In the market-evolutionary account, preciousness is advantageous in a medium of exchange by lowering the costs of transporting any given value. In a Cartalist pay-token account, preciousness is disadvantageous — it raises the costs of the fiscal operation — and therefore baffling. Issuing tokens made of something cheaper would accomplish the same end at lower cost to the sovereign."

Mitchell-Innes doesn't make much of an effort to explain why gold might have been selected as a medium for inscribing IOUs. But on the discussion board, Antti has a provocative theory. Credit is often collateralized, an asset being pledged by a borrower to a lender in order to reduce the risk of the loan. If a gold coin is a form of credit, then maybe the gold embodied in the coin is serving as collateral.

Think about it this way. While it would certainly be cheaper for me to record my IOU on paper, if I welch on my promise then the person who holds my IOU is left with nothing but a worthless note. But if I welch on an IOU that is encoded on a gold disc, at least the person who has my IOU is left with some gold (albeit of lower worth than the face value of the original IOU).

According to Antti's theory, a gold coin is therefore a more solid form of credit than a note, since it provides recourse in the form of precious metals collateral. If my credit is bad, the only way I may be able to get a loan is to issue gold IOUs, my paper ones being too risky for people to accept.

It's an interesting theory, but the problem with inscribing my IOUs on gold is that it is a terribly insecure way for me to conduct my business. Gold is highly malleable. Bite a gold coin between your canines and you'll leave a mark on its surface (trust me, I've done it). So if I pay you with my coin IOU, you could clip a tiny bit off the edge and keep it for yourself, passing the rest of the coin off at a store. That store owner could in turn pay it away to a supplier. Unaware that it has been clipped, the supplier returns the coin to me for redemption. I am obligated to accept the clipped coin at full value since it is my IOU. However, I've had a chunk of my collateral stolen somewhere along the transactions chain—and there's nothing I can do about it.

So putting one's gold collateral into circulation is an open invitation for thieves, which is why Antti's collateral theory of coins doesn't seem very realistic to me.

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The idea that coins circulated at more than their precious metals content, or intrinsic value, can be found throughout Mitchell-Innes's two essays. He uses the existence of this premium as proof that the metal content of a coin is not relevant to its value, its credit value being the sole remaining explanation.

To some extent, I agree with Mitchell-Innes. Over the course of history coins have often circulated above their intrinsic value, and from time-to-time this premium has been due to their value as credit. The merchants' counterstamps below are great examples. By adding a stamp to a government coin, these merchants have elevated the coin's value from one cent to five or ten cents.

Redenominated coins are IOUs printed on metal.

"The practice of elevating the denomination of circulating cents seems to have been an early Civil War era phenomenon, given the shortage of then circulating coins." Source: https://t.co/OIMMt2CBVj pic.twitter.com/UiXSBKpk7u

— JP Koning (@jp_koning) October 29, 2018

These three coins are straight out of Mitchell-Innes two essays. As I say in the tweet, counterstamped coins effectively functioned as an IOU of the merchant. For instance, take the five cent Cameron House token, on the right. This token was issued by a Pennsylvania-based hotel—Cameron House.  Its intrinsic value was one cent, but Cameron House's owner promised to take the coin back at five cents, presumably in payment for a room. The sole driver of the coin's value was the reliability of Cameron House's promise, the amount of metal in the token having no bearing whatsoever on its purchasing power.

While Cameron House's stamp turned metal into a much more valuable form of credit, not all stamps do this. Last week I wrote about coin regulators who regulated gold coins and shroffs who chopped coins. Both functioned as assayers, weighing a coin and determining its fineness. If the coin was up to standard, the regulator or shroff stamped their brand onto its face and pushed it back into circulation. Below is a chopmarked U.S. trade dollar:

Chopped 1880 U.S. trade dollar (source)

But unlike the Cameron House stamp, the regulation or chopping of coins didn't turn them into a credit of the regulator or shroff. The marks were simply indicators that the coin had been audited and had passed the test, and nothing more.

Both the Cameron House coin and the chopped U.S. trade dollar would have traded at a premium to the intrinsic value of the metal that each contained. But for different reasons. As I wrote above, the Cameron House coin was a form of credit, like a paper IOU, and thus its value derived from Cameron House's credit quality, not the material in the token. But not so the chopped U.S. trade dollar. Precious metals are always more useful in assayed form than as raw bullion. While it is simple to test the weight of a quantity of precious metals, it is much harder to verify its fineness. This is why chopmarks would have been helpful. Anyone coming into possession of the chopmarked coin could be sure that its fineness had been validated by an expert shroff. And thus it was more trustworthy than silver that had no chopmark. People would have been willing to pay a bit extra, a premium, for this guarantee.

Remember that a decline in the amount of metal in a five-cent Cameron House token would not have changed its purchasing power. With a chopmarked trade dollar, however, any reduction in its metal content flowed through directly to its exchange value. This is because a chopmarked dollar was nothing more than verified raw silver. And just as the value of raw gold or silver is determined by how many grams are being exchanged, the same goes for a chopmarked trade dollar.

And so whereas Mitchell-Innes has a single theory of money, we've arrived at two reasons for why coins might trade at a premium to intrinsic value, and why their purchasing power might change over time. The Cameron House theory, which also happens to be Mitchell-Innes's theory, and the chopmarked trade dollar theory, which is completely contrary to Mitchell-Innes's essays.

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I've used private coinage for my examples, but these principles apply just as well to government coinage. Our modern government-issued coins are very similar to the Cameron House tokens. They are a type of IOU (as I wrote here). In the same way that trimming away 10% from the edge of a $5 note won't reduce that note's purchasing power one bit, clipping some of the metal off of a toonie (a $2 Canadian coin) won't alter its market value. The metal content of a modern coin is (almost always) irrelevant.

But whereas modern government coins operate on Cameron House principals, medieval government coins operated on the same principals as chopmarked traded dollars. In England, a merchant who wanted coins would bring raw gold or silver to a mint to be converted into coin. But the merchant had to pay the mint master a fee. The amount by which a coin's market value exceeded its intrinsic value depended on the size of the mint's fee.

Say it was possible for a merchant to purchase a certain amount of raw gold with gold coins, pay the fee to have the raw gold minted into coins, and end up with more coins than he started with. This would be a risk-free way to make money. Everyone would replicate this transaction—buying raw gold with coins and converting it back into coins—until the gap between the market price of a coin and the market price of an equivalent amount of gold had narrowed to the size of the fee. 

Premia on coins weren't always directly related to mintage fees. English mints usually operated on the principle of free coinage—anyone could bring their gold or silver to the mint to be turned into coin. But sometimes the mint would close to new business. Due to their usefulness and growing scarcity, gold coins would circulate at an ever larger premium to an equivalent amount of raw gold. Since merchants could no longer bring raw gold to the mint and thereby increase the supply of coins, there was no mechanism for reducing this premium.

So as you can see, whether the mint was open and coinage free, or whether it was closed, the premium had nothing to do with the coin's status as a form of credit. It was due to a combination of the superiority of gold in validated form and the availability of validated supply.

In sum, Mitchell-Innes is certainly right that coins have often been a form of credit. A stamp on a piece of metal often elevates it from being a mere commodity to a token of indebtedness. In which case we get Cameron House money. But as often as not, that stamp is little more than an assay mark, a guarantee of fineness. In which case we have chopmarked trade dollars. Both sorts of stamps put a premium on the coin, but for different reasons.

Coming up with grand theories of money is tempting, as Mitchell-Innes has done, but unfortunately these theories sometimes obscure the finer features of monetary instruments. At times, having twenty or thirty bespoke theories may be a better way to understand monetary phenomena than one grand one.

Gold regulators

While our modern monetary system certainly has plenty of detractors, one of its successes is that we no longer need the services of the local gold regulator. In the late 1700s, the job of a gold regulator was to assay gold coins to determine if they were of the appropriate weight and fineness, modifying (ie 'regulating') the coin if necessary. When he was done, the gold regulator stamped the coin with his seal of approval and put it back into circulation.

The job of regulating coins may seem strange to us. But it was an ingenious way to cope with the lack of standardization that bedeviled monetary systems in the 1600 and 1700s, particularly in the colonies. There was no domestic supply of coins in North America back then, so settlers relied on a bewildering array of foreign coins as their media of exchange, each with its own weight and fineness, and most of poor quality. This included not only silver coins such as Spanish dollars, pistareens, and English crowns, but also a gamut of gold coins including Portuguese joes and moidores, English guineas, French Louis d'ors and pistoles, German carolines, and Spanish doubloons.

Each of these foreign gold coins was minted with a unique quantity of the yellow metal. For instance, the popular Portuguese half Johannes, or "half Joe", weighed 221 grains and was 91.7% pure when it left the mint, whereas a full-bodied Spanish doubloon weighed 416 grains (one gram equals ~15 grains). Thanks to constant wear and illegal clipping, these coins would inevitably lose some of their mass as they circulated. For merchants, the task of weighing each gold coin that was presented to them, checking if it was a counterfeit, and calculating its appropriate monetary value would have been fatiguing.

To help merchants determine the rate at which to accept a particular gold coin, the authorities published tables with coin weights and values. These coin standards were issued by various legislative bodies or by the merchants themselves. For instance, here is a table produced by the New York Chamber of Commerce in 1770:

Let's go through an example of how an American merchant might use this table. Say a customer offers a merchant a slightly worn half-Joe. The merchant measures the coin and discovers that it weighs exactly 9 dwt, or 216 grains. A dwt is a pennyweight, an archaic unit for measuring weights that derives from denarius weight. (1 dwt = 24 grains = 1.55 grams). Let's further assume say this exchange occurred in New York.

According to the above table, any half-Joe passed in New York that weighs at least 9 dwt 0 grains is legal tender for £3 and 4 shillings. Look in the columns titled "least weight" and "N. York". So if our merchant happens to be selling horses for £3 4s, then he'd be happy to accept the customer's slightly worn half-Joe as sufficient payment for a horse. But if the half-joe were to weigh less than 216 grains (or 9 dwt), then it would fail to meet the Chamber of Commerce's standards, and therefore the merchant wouldn't accept it—the coin is worth less than the horse's sticker price of £3 and 4 shillings.

Testing a coin's weight is easy, but it is unlikely that many merchants would have had the time or expertise to verify its purity. Whereas a Portuguese half-joe was minted with 91.7% fine, a good counterfeit half-joe might be just 88% pure. If a subsequent trading partner questioned a counterfeit's validity, a merchant who had accidentally accepted it could be out of pocket. To remove any doubt, a suspect coin could be brought to the local regulator to be assayed. After removing a small section of the coin, the regulator would then test the coin's gold content. If it was a good coin, he would plug up the test section and stamp his initials on it. Having been approved by a recognized member of the community, the coin could easily pass in trade.

This watchdog function reminds me of the part played by Chinese shroffs, or money changers, in the Chinese monetary system of the 17th-19th centuries. Like North America, China was inundated with a whole range of foreign coins. Local shroffs would assay a foreign coin to verify its silver content. If the coin passed their purity test, a shroff would stamp it with his own peculiar chopmark, usually a Chinese character or symbol. Over time, foreign coins circulating in China might collect multiple chops. The genius of this system is that a naive Chinese consumer could safely accept a strange coin knowing that it had successfully passed the smell test of professional appraisers—and the more chops the better.

Chopmarked 1807 Spanish silver dollar 

If you are interested in the Chinese practice of chopmarking, I wrote about it here and here.

Testing for fineness is just one theory for the role played by North American gold regulators. There is a second theory. Not only were they watchdogs, but regulators also acted as enhancers or correctors. To see why this might be true, let's delve a bit more into the dynamics in play in North America in the 1700s.   

If you look at the original table above, notice that the New York Chamber of Commerce listed the minimum accepted weight of the half-Joe as 216 grains. However, as I pointed out earlier, a freshly-minted half-Joe actually weighed 221 grains. So the Chamber of Commerce's standard tolerated the circulation of underweight half-Joes. (They did the same with other coins too, including the doubloon, which when freshly minted weighed 418 grains but was accepted by the Chamber of Commerce at 408 grains.) Providing some extra leeway was probably a wise move. The coins used by New Yorkers came from distant realms and inevitably suffered from wear & tear.

But if a half-joe had lost too much of it original heft it would fail to meet the Chamber's standard. This is where a gold regulator might come in handy. Say that a half-Joe was brought to a bank but found to only weigh 207 grains, well below both the Chamber's standard of 216 grains and its original mint weight of 221 grains. The bank would purchase it at discount, say by crediting the customer with just £3 1 shilling instead of the Chamber's standard £3 4s, then send the underweight coin to a gold regulator. The regulator would proceed to cut out a section of the coin and insert a purer (and heavier) gold plug into the hole, bringing its weight back up to the 216 grain standard.

The regulator would then stamp his initials on his modification, upon which the bank would pay the regulated coin out as change. The regulator's marks were proof that the coin lived up to the Chamber's weight standard, and presumably made it easier to pass from hand to hand. Here is what a coin that has been regulated with a plug looks like:

In the 1700s, only foreign gold coins circulated in the US. The job of a "regulator" was to weigh each one. If it was underweight relative to the standard, they added a plug and initialed it (like the one below, countermarked by John Bayley). If it was overweight, the shaved it. pic.twitter.com/JfRXKq20DP

— JP Koning (@jp_koning) May 14, 2018

The coin in my tweet is a regulated 1747 Portuguese half-Joe. Notice that the plug is slightly raised on the face side of the coin, or the obverse side. On the reverse side of the coin, the plug is rounded and convex. So it apparent to the eye how the plug might add some heft to an underweight coin.

A coin could also be modified in a way that reduced it to the Chamber's standard. If a fresh half-Joe arrived in New York weighing 221 grains, it made no sense for its owner to spend it as-is. Given the Chamber's standards, a 216 grain half-Joe was sufficient to buy £3 and 4 shillings of goods and services (or settle £3 and 4 shillings debts). A 221 grain half-Joe was overkill. A customer could deposit their full-weighted half-joe at the bank for more then its value (say £3 and 5 shillings). The bank's gold regulator would then shave it down to size and stamp his initials on it. Thus the modified half-joe could circulate legally despite having a small amount clipped from it. It would have looked a bit like this:

Regulated 1774 Portuguese half-joe. Source

Note the flat part at the bottom where the half-Joe has been clipped by a regulator.

So a gold regulator's role, whether it be as a watchdog or an enhancer, or a bit of both, was to bring some much-needed order to the chaos of a multicoin monetary system. By bringing a gold coin up to standard, or reducing it to standard, they would have helped ensure the fungibility of North America's coinage. And by stamping their initials on it, regulators provided a guarantee of purity to the public—removing some of the uncertainty involved in accepting unfamiliar coins.

By the 1800s, there was no longer a need to have a gold regulators. Most of the deficiencies of the old non-standardized monetary system had been fixed. Paper money had largely displaced gold coins, so merchants had fewer occasions where they had to worry about accepting bad coins. As for smaller denomination silver coins, these were eventually replaced by token coins. The issuer's promise to buy them back at a fixed price, and not their metal content, dictates a token's value. While their time may be past, gold regulators remain a testament to monetary ingenuity.

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Selected sources:
1. Sedwick, Daniel: The Regulated Gold Coinage of North America and the West Indies in the Late 1700s [link]
2. Michener, Ron: Money in the American Colonies [link]
3. Neufeld, EP: Money and Banking in Canada
4. The Yale University Brasher Doubloon [link]
5. Introductory Note: Report on the Establishment of a Mint, [28 January 1791] [link]
6. Mossman, Phillip: Money of the American Colonies and Confederation [link]