Saturday, November 21, 2015

Zimbabwe's new bond coins and the demonetization of the rand

Issued a little less than a year ago, Zimbabwe's bond coin is one of the world's newest monetary units. The bond coin is designed to solve one of the most venerable problems in the pantheon of monetary conundrums; the big problem of small change—a nice turn of phrase coined by economists Tom Sargent and François Velde (excuse the pun).

Some background first. When Zimbabweans spontaneously ceased to use worthless Zimbabwe dollars in 2009 they simultaneously adopted a ragtag collection of currencies including the South African rand and U.S. dollar. Unlike cash, coins are heavy—shipping them over to Zimbabwe from the U.S. is prohibitively expensive. So while Federal Reserve banknotes have tended to be used in large value transactions, rand coinage from neighbouring South Africa has been recruited for use in smaller transactions. Unfortunately, there has never been enough coins to conduct trade. The demand for small change is so large that items like gum or candies or IOUs have often been used as coin-substitutes.

The bond coin is a brave attempt by the Reserve Bank of Zimbabwe's (RBZ) incoming Governor John Mangudya to fix the small change problem. Issued in denominations of 1, 50, 10, 25, and 50 cents, each bond coin is worth an equivalent amount of U.S. cents. Issuing small change is an entirely sensible goal for a central banker to pursue. It's low hanging fruit—a cheap solution to a significant problem that disproportionately hurts those who rely on coins the most, the poor.

But how can an institution that has lost all credibility—and deservedly so—successfully float a new monetary unit? Only with a little bit of help, it seems. The RBZ's FAQ on bond coins says that the new issue is backed by a "bond facility." What does this mean? Unfortunately the RBZ forgot to answer that question in its FAQ, as the screenshot below indicates (ht Twitter finance's @guan).

Oh dear.

Reading through some earlier news reports, let me try and answer on their behalf. We know that the African Export-Import Bank (Afreximbank), based in Cairo, opened up a US$200 million line of credit with the RBZ last year. Presumably some portion of this line of credit will be used to ensure that bond coins stay pegged to the U.S. dollar. Should the bond coin fall below the dollar, for instance, the RBZ will have to draw down on its bond facility with Afreximbank to repurchase the coins. Thus the moniker "bond coin." At least, that's the story that the RBZ Governor John Mangudya has been providing. So far the value of bond coins has held, so Zimbabweans see Afreximbank backing as credible.

The minting of U.S. dollar tokens isn't a novel idea. Other dollarized nations have introduced coins to make up for the lack of U.S. change. Panama, for instance, has the balboa while Ecuador and East Timor have the centavo. Zimbabwe's is a well-trodden path.

The RBZ's new coins were initially greeted with a large amount of skepticism. No wonder. This is an institution that generated an inflation rate of 79.6 billion percent (with the help of Robert Mugabe's insane fiscal policy). However, a sudden glut of news articles say that Zimbabweans have begun to embrace bond coins in earnest. At the same time, no one wants South African currency anymore, with retailers and banks increasingly refusing rand coins.

Why is that? Zimbabweans have been transacting with both rand and dollars since 2009 but they have been setting prices in the latter. The dollar, not the rand, is the unit of account. This means that any transaction involving rand is inconvenient as it requires a foreign exchange conversion back into dollars prior to consummation. Over the last few years, Zimbabweans have solved this problem by the informal adoption of a "street" rate of ten rand-to-the dollar.  They use this rate as a rule of thumb even though the market exchange rate has deviated quite far from it. The advantage of a nice round number is that it reduces the calculational burden of a two currency system.

For instance, one of the more ubiquitous commercial experiences in Zimbabwe, a ride on a privately operated bus, or kombi, has been priced at $0.50, or five rand, for many years now. It's interesting that this price has undervalued the rand relative to its actual market rate. In 2012-2013 the U.S. dollar was worth around eight rand, so a kombi ride should have only cost commuters four rand, not five. But convenience seems to have trumped exactitude, especially with small change being so hard to come by.

With the greenback having spiked in late 2014 and 2015, the U.S. dollar is now worth around fourteen rand. In this context, the old informal ten-to-one exchange rate no longer makes much sense. A massive coordination problem seems to have developed. While kombi drivers still charge fifty U.S. cents per ride, they have reportedly begun to charge as much as seven rand for a trip, or a 14-to-one exchange rate, thus breaking with the traditional ten-to-one street rate. Customers are not happy. When they pay with US$1, they are now asking for a 50 cent bond coin as change. After all, if they get five rand in change, that won't be enough to afford the new seven rand price on their next ride.

The period of economy-wide haggling necessary to settle on a new generally accepted "street price" for the rand no doubt imposes significant costs on Zimbabwean society. Thorny issues of fairness come to the forefront. And if the new rate isn't a nice round number, payment calculations becomes a burden. Before the bond coin's appearance on the scene, Zimbabwe would simply have endured this period of rand-induced calculational turmoil as it slowly groped to a new equilibrium. But this time there's a small change alternative to the rand. The sudden adoption of the once unpopular bond coin by Zimbabwean society may be a convenient hack for getting around the complexity of adjusting to rand volatility. If so, all that the bond coin needed for mass adoption was either a sharp rise or fall in the rand. Without that volatility—i.e. if the rand exchange rate had stayed near ten-to-one forever—then the requisite chaos for bond coin acceptance would never have appeared.

Monetary economists have long debated the idea of a divorce between a nation's unit-of-account and its medium-of-exchange. (See Tyler Cowen, for instance, on New Monetary Economics). This is the notion that a nation's prices can be set in terms of one unit and its transactions carried out in another; a notion exemplified in Zimbabwe where prices are set in dollars but rand trades hands. I think Zimbabwe's recent adoption of the bond coin bears out economist and blogger Larry White's stance on the subject. White, who wrote a skeptical paper on the prospects for medium-unit divergence, maintains that the practice of harmonizing the unit in which we transact with the unit for posting prices is an evolutionary inevitability. A divorce is simply not in the self interest of economic actors. Harmonization-
...economizes on time spent in negotiation over what commodities are acceptable in payment and at what rate of exchange. More importantly, it economizes on the information necessary for the buyer's and the seller's economic calculation.
For these reasons, a unit of account is typically "wedded" to a general medium of exchange, says White. In Zimbabwe, the convenience of wedding the medium-of-exchange with the unit-of-account is playing out in the mass disgorgement of rand and adoption of US$-denominated bond coins. This is just another chapter in Zimbabwe's ongoing game of monetary musical chairs. Having spontaneously demonetized the Zimbabwe dollar in 2009 for the rand, they are now demonetizing the rand in favour of Zimbabwean U.S. dollars. If White is correct, expect this new evolution to be a permanent one.

Monday, November 16, 2015

Arbitraging the 49th parallel

Thanks to a floating exchange rate and one of the longest undefended frontiers in the world, the U.S.-Canada border is the thoroughfare for what may be one of the world's most popular ongoing consumer arbitrages.

Canada and the U.S. interlist all sorts of goods, services and financial assets. We both sell McDonald's hamburgers, we both offer tickets to NHL games, and we both list Valeant Pharmaceutical shares. The relative price of Valeant shares, which trade in New York and Toronto, will rapidly adjust to any change in the exchange rate. If not, then upon an appreciation of the U.S. dollar an investor will be able sell Valeant short in New York at an artificially high price, buy Canadian dollars with the proceeds, and acquire shares in Toronto on the cheap, using those shares to cover the short position in New York at a profit. Exploitation of this opportunity will realign Valeant's New York and Toronto share price until the window closes, thus cannibalizing the potential for arbitrage gains. This process takes seconds.

Financial prices are set "immorally." In the moral economy of Main Street, goods and services prices stay fixed for long periods of time. At time = 0, say that Big Macs and hockey tickets have the same real price in the U.S. and Canada so that people have no reason to prefer shopping in one country or the other. The moment that the Canadian dollar appreciates, a consumer arbitrage window opens that allows Canadians a chance to boost their welfare. Since sticker prices in the U.S. don't change, Canadians can now cross the border and buy more Big Macs and hockey tickets than they could if they had stayed parked in Canada. So much for the law of one price. This window will stay open for quite some time. Bils and Klenow (pdf), for instance, report that lunch menu prices in the U.S. only change once every 10.6 months while sporting event admission prices only adjust once every 3.9 months. (That's almost eleven months of free lunches.)

The chart below, which uses data from the Canadian Border Services Agency, illustrates how North American migration patterns fluctuate as the arbitrage window switches in favor of either the U.S. or Canada.

As the chart shows, the difference between Canadians visiting the U.S. and Americans visiting Canada (the green dotted line) is correlated to movements in the exchange rate. A weak loonie in the early 1980s and 1992-2002 encouraged more Americans to visit Canada while decimating the hoards of snowbirds headed south. The strong Canadian dollar from 1986-1992 and 2002-2011 did the opposite, stifling American visits while inspiring Canadian exits. The loonie's plunge over the last twelve months, aggravated by the collapse in crude oil prices, has finally begun to bring increasing amounts of Americans over the border for the first time in over a decade.

Going forward, expect to see more stories like this ("explosive growth" in Alberta ski hill bookings for this winter), this (Montreal sees best tourism season in years), this (Thunder Bay's tourism picks up) and this (bad news for Buffalo's airport).

Or course, you can't get something for nothing forever. Prices are rationing devices. When a good's price is fixed at an artificially low level then costly lineups will develop, substituting for price signals as a rationing device. The sudden undervaluation of goods & services on either side of the 49th parallel as the exchange rate fluctuates should give rise to congestion at the border, modulating the size of the consumer arbitrage window.

By the way, the chart above illustrates one of the advantages of having a floating exchange rate. Without a collapse in the loonie, price ratios between the U.S. and Canada would have remained much more rigid over the last twelve months, preventing the emergence of a consumer arbitrage opportunity in favour of American consumers. Canadian aggregate demand, already depressed by weakness in the energy sector, wouldn't be benefiting from an influx of American shoppers and returning Canadians. Unemployed oil workers in Fort McMurray wouldn't be getting the opportunity to find work on Banff's booming ski hills.

Wednesday, November 11, 2015

Human capital bonds

After last week's post on the relative benefits of renting versus buying a home, Ryan Decker sent me to his earlier post on the subject. In it Ryan mentions an interesting concept I'd never heard of before; lifecycle investing.  Developed by Ian Aryes and Barry Nalebuff (pdf), the idea is that investors in their twenties can reduce risk and improve returns not only by investing all their savings in the stock market, but by going one step further and taking out a loan to buy stock.

Odd advice, right? But there are good reasons for this. Aryes and Nalebuff's thesis begins with the idea that we all own something called a "human capital bond." This is the present value of our lifetime stream of saved wages. Imagine a young investor with an average tolerance for risk who has just entered the labour force. He/she possesses a human capital bond that is currently worth, say, $500,000. Let's assume that this bond is expected to be quite stable in value, maybe because the young investor has just taken on a unionized government job. It make senses for our investor to reduce their allocation to this low-risk human capital bond in order to get exposure to an appropriate amount of riskier equity, thus boosting overall returns. Say the ideal equity share is around 50%, or $250,000. Waiting for the paychecks to roll in is far too slow a way to build a $250,000 stake in equities. Far quicker to sell half the human capital bond right now—or $250,000—and use it to buy the stake in equities outright.

The problem is that our investor can't simply sell away $250,000 worth of human capital. A spot market for human capital bonds doesn't exist. Absent the appropriate market, Aryes and Nalebuff believe that the way to approximate the ideal ratio is to use debt. By leveraging their meagre savings at a ratio of 2:1, a young investor with (say) $5,000 in savings in the first year of employment can get exposure to  $10,000 worth of stock, thus getting twice as close to the ideal amount of diversification. Ayres and Nalebuff refer to this as time diversification. Rather than waiting till mid age to have accumulated an appropriately diversified portfolio, do so as early as possible.

I think that it makes a lot of sense to imagine ourselves as if we held a Ayres/Nalebuff human capital bond and make our best effort to diversify around this asset. However, what if our bond is risky rather than safe? Maybe we make ends meet via a series of freelance jobs rather than perpetual government employment, or maybe we get by on commission income which can vary dramatically year-over-year. If so, the asset that represents our capitalized savings should probably be conceived not as a bond, but as a relatively volatile human capital "share." Instead of levering up to buy even more shares, a freelancer or salesperson seeking to diversify across time should borrow and acquire a stable asset with low drift, say like a mortgaged home.*

Liquidity is another facet worth considering. To own a human capital bond (or share) means to be terribly illiquid. Unlike a regular bond (or share), these instruments can't be rapidly swapped for other assets.

Owning an illiquid portfolio comes at large emotional cost. Consider that we are mere specks of dust being tossed around by currents far too large and complex to control, let alone understand. Against this awful uncertainty, extremely liquid financial assets, specifically instruments like deposits and banknotes, are our best lines of defence. When the universe suddenly knocks us down, liquid assets can be deployed to cope. When it throws us a bone, they can help us seize the moment. So while deposits and cash provide little in the form of a financial return (they are expected to steadily inflate away in value), they compensate by providing huge non-pecuniary flows of convenience, relief, and confidence.

When a young investor is advised to lever up and invest in either stocks or real estate, both of which are more liquid than a human bond but still not terribly liquid, they are being asked to bear some of the burdens of uncertainty. After all, leverage means running down inventories of cash and deploying back up lines of credit. Too much leverage and our investor loses their only hedge against the unknown. This lack of liquidity could subject them to enormous emotional costs when the proverbial shit hits the fan (or an unforeseen life changing opportunity must be passed up).

So young investors need to be careful that they take on an appropriate amount of debt (too little may be as bad as too much) and acquire suitable assets. To begin with, they must do their best to estimate the present value and riskiness of their largest asset, their Aryes/Nalebuff human capital bond. Only then can they determine the merits of borrowing to diversify across time; some assets promise significant returns (like shares) and some of them don't (like houses), the best option depending on the nature of the individual's capital bond. They also need to ask themselves a philosophical question: to what degree can the world be understand and controlled and to what degree is their fate governed by random and unpredictable forces? The more chaos our young investor sees, the more they should keep themselves liquid; the more order they see, the less liquid. There is no one-size fits all solution here, no trustworthy rule of thumb. But I'm sure you'll figure it out.

Related post: Labour Shares™: Beating capital at its own game

*Could housing booms be a function of forces that make human capital bonds increasingly risky, say like increased contract work and the demise of the traditional promise of lifetime employment offered by corporations? To offset the growing risk of the standard human capital bond, everyone may simultaneously try to offset by purchasing a home, traditionally a low return asset.

Tuesday, November 3, 2015

Why (not) rent your home?

Ted Nasmith, An Unexpected Morning Visit

"Why not just get a mortgage and buy the place rather than throwing money away on rent?" That's what people often say to folks like me who rent rather than buy. This post is my response.

Let me start off by saying that I'm neither a housing bear nor a bull. I have no idea which way Canadian real estate prices are going to go. My decision to choose renting over ownership has to do with other factors.

I don't have enough resources to buy a house or condo without getting a mortgage. Those who tell me I'm throwing my money away on rent and should buy are implicitly counseling me to take on a lot of leverage. Let's pretend that I'm comfortable accepting that level of debt. Why should I purchase a home with the borrowed funds and not buy some combination of the Vanguard Total World Stock ETF and the Total International Bond ETF?

To favor a home over the Vanguard ETF option is to assume that the risk-adjusted total return on the home exceeds that of the ETFs. Let's unpack this comparison a bit. ETFs provide a return that is purely pecuniary; some combination of price appreciation, interest, and dividends. Homes also provide a pecuniary return—they can appreciate in value. But a home is special. In addition to the pecuniary return, it simultaneously offers a non-pecuniary return, namely shelter. We can't eat in an ETF, or sleep in it, or entertain friends in it, but we can do these things with a house.

The total return on a home should be about equal to ETFs. Markets are competitive, after all, so if one asset offers an excess return, people will compete to harvest those gains, eventually arbitraging them away. Thus the total expected dividends, interest, and price appreciation from an ETF should be about equal to the sum of a home's expected price appreciation and the value of the shelter it provides. Shelter is a sizable service. This means that a home's expected life-time price appreciation needn't be very large to attract buyers. So an ETF's expected return will exceed a home's potential for price appreciation by a significant wedge. This wedge is the extra pecuniary return on ETFs held.

How big is the wedge? We can try to get a feel for it by looking at long term data. Using numbers compiled by Robert Shiller, I've calculated annualized real returns (i.e. adjusted for inflation) for both U.S. homes and equities going back to 1890. I don't have data that would approximate the Vanguard Bond ETF, and I don't know of any comparably long Canadian data series.

Equities, as represented by the S&P, have provided a real return of 6.5% per year including  price appreciation and reinvested dividends. Shiller's U.S. housing price index has yielded a much smaller 0.35% annualized real return over the last 120 years. Even if we omit the brutal credit crisis years of 2006-2015, U.S. homes still only provide a 0.54% return.

So when anyone boasts that unlike me they're not wasting money on rent, I accuse them of throwing away the extra wedge they could be earning by owning Vanguard ETFs.

Anyone who borrows to harvest the extra wedge on ETFs is left with a problem, however. They can't just sleep on the street, they need to acquire shelter. We're all born with a short position in housing. And that means giving up part of the excess wedge to a landlord. How much of this wedge? Again, since markets are competitive, my bet is that pretty much all of the wedge will have to be forfeited. If there was a significant chunk left over, everyone would choose to rent, driving rents higher until returns had equalized. At the end of the day, there probably aren't significant excess returns to be harvested by either home ownership or renting/investing in ETFs.

There are a few other stylized facts that colour the rent versus buy decision. Buying and selling a home will set you back thousands of dollars in transaction costs whereas it costs less than $25 to buy and sell ETFs. Secondly, a Vanguard ETF can be sold in a few seconds; a home can take weeks. Lastly, it costs just a few basis points to maintain an ETF (think management fees) whereas a house can cost thousands to keep in shape. To compensate for all these drawbacks (which are sizable), a home must offer a pretty high expected return.

What ultimately tips me towards the ETF option is the opportunity for diversification. Leveraging up on a single asset exposed to one street in a single city is a gamble. The two Vanguard ETFs, on the other hand, offer global exposure to thousands of different businesses, both large and small. Between renting and buying, renting seems to me to be the more prudent approach. I'm no gunslinger.

Which leads me in a meandering way back to Robert Shiller, specifically his derivatives markets for home prices. I'd certainly reconsider the home ownership route is if I could hedge away some of the risk of housing price declines, say by swapping out exposure to changes in the price of my home for a more diversified return. Most attempts to create housing derivative markets have failed, so until we have a futures market in housing prices, give me ETFs.

Friday, October 30, 2015

What if Apple pegged its stock price at $1?

 Would it make sense for Apple to peg its stock price at $1? If so, how would it go about doing this?

From the perspective of shareholders, there's an advantage to a firm's shares being valued not only as a pure store of value but also as useful in trade, or as money. All things staying the same, the increase in demand that is created by the monetary usefulness of a share will ratchet up the multiple applied to a firm's earnings, resulting in a higher market capitalization and richer (and happier) shareholders. As long as the costs of making shares more moneylike aren't too high (I'll assume they aren't), Apple will prefer that its shares be ubiquitous and pervade all corners of an economy, much like a U.S. dollar note or a bank deposit.

The problem is that people aren't fond of unstable exchange media (see here & here). Bills and deposits tend to show low price variability. And because retailers keep prices sticky in terms of the unit of account, a $100 deposit or $100 bill is guaranteed to purchase $100 worth of stuff one month hence. Unlike bills and deposits, volatile assets like Apple shares can crater at any moment, thus ruining their effectiveness as a monetary medium.

Could Apple solve this problem? If Apple were to peg its stock price at $1, it would provide individuals with all the benefits of a dollar bill or deposit. Add in some infrastructure for allowing payment via stock (say a permissioned block chain), and demand for Apple shares would treble as they stole business from banks. Apple's market cap would spike.

What about investors, say hedge funds and mutual funds? Why would they want to own an asset that never deviates from $1? They need a return, after all, to justify holding Apple in their portfolio. The answer, in short, is that the peg wouldn't reduce Apple's return to zero; rather, it would change the form of the return. Instead of rewarding shareholders with a higher share price, Apple management would reward them by augmenting the quantity of stable-value shares they own.

Say Apple's earnings are to grow 10% over the course of a year. Without a peg, investors expect one share of Apple, currently trading at $1, to be worth $1.10 in one year, providing a 10% return. With a peg, investors will instead expect the quantity of $1 shares in their portfolio to grow from 1 to 1.1, thus providing the same 10% return. Think of the 0.1 increase in shares as a stock dividend to all existing shareholders.

If Apple has a blowout year and earnings grow 20% rather than just 10%, investor demand for Apple shares will rise, putting upwards pressure on the peg. Management will grant existing owners whatever extra stock dividends are necessary to relieve the pressure. Likewise, a rise in the monetary demand for Apple shares, perhaps due to a liquidity crisis, will by counterbalanced by a stepped up pace of stock dividends, ensuring the peg's integrity.

Conversely, downwards pressure on the peg will be relieved with a series of reverse stock dividends. Shareholders will find that, where before they had $1 share worth $1, they have been docked 0.01 shares and only have 0.99 shares worth $1 dollar.

For the public to accept Apple's pegged shares as an exchange medium, they need to suffer from some sort of money illusion. After all, even though Apple is enforcing its $1 peg and providing nominal stability, this is little more than an illusion. The reverse stock dividend mechanism threatens to reduce the quantity of shares in each individual's portfolios, thus diminishing their overall purchasing power. Will people be fooled by the $1 price? I don't know, but if so, Apple can increase its market capitalization for free and thus enrich its shareholders.

This leads into a bigger question that I'll let others try and answer. What quirks of human psyche (or institutions) lead publicly traded companies to universally set a floating stock price and a fixed quantity of shares? Why not let the quantity float and the price stay fixed? If we were perfectly logical beasts, we should be indifferent between the two.

Saturday, October 24, 2015

Liquidity liquidity everywhere but not a drop to drink

One of Gustave Doré's illustrations of The Rime of the Ancient Mariner, plate 4

The minsicule bid ask spreads we see in financial markets today indicate that stocks and bonds have never been more liquid. At the same time, skeptics worry that the odds of a sudden evaporation of this liquidity has never been higher. This Jekyll and Hyde world of ultra liquidity coupled with heightened risk of liquidity famines is one of the core themes running through a great series of posts on market liquidity from Liberty Street, the NY Fed's blog. See here, here, and here.

To protect their portfolios, investors need to be able to look beyond the incredible amounts of potentially superficial liquidity coursing through markets and plan for future illiquidity crisis. For this sort of preparation to be possible, what investors really need is a market in long-dated liquidity-related financial products.

Central banks have historically been the chief providers of liquidity-related financial products, namely liquidity insurance, or the guaranteed use of central bank lending facilities in a crisis. The problem, as Stephen Cecchetti and Kermit Schoenholtz point out, is that we simply don't know if central banks are offering this financial product at the right price and in appropriate quantities. Cecchetti & Schoenholtz say that providing lending facility access: 
without limit and without penalty can lead to enormous moral hazard, causing overreliance on the central bank. If market participants are trained to ignore liquidity risk in good times, they will do little to make markets less fragile or to prepare themselves for unanticipated, but persistent episodes of market illiquidity.
The other problem is that central banks only provide liquidity insurance to banks. What about the rest of us? How can all investors, and not just bankers, benefit from properly priced liquidity insurance products?


A central bank is a monopolist without much business sense. It has no idea how to set the proper price for insurance products. Which is why I think a private market in liquidity options, or liquidity insurance, may be an ideal solution.

How might these liquidity options look?

An option to sell at the ask price

In financial markets there is a price at which participants are willing to buy and a price at which they are willing to sell. This is the famous bid-ask spread, or bid-offer spread.

Say the bid, or buying price, for Google shares is $650 and the ask price is $660, the width of the spread being $10.

A seller with time on their hands will join the queue of sellers already at $660 and wait for a buyer to step forward. If the seller is desperate for liquidity, they will sell at $650 to the first buyer in the bid queue, absorbing the $10 loss. When a liquidity crisis hits, this spread may widen out such that a desperate seller will only be able to get out at $640, or $600.

Liquidity risk can be thought of as thusly: We'd all love to rapidly sell at the offer, or ask price, but reality forces us to trek the distance across the spread and sell at the bid. In normal times, who cares; the spread is miniscule. But this trek-to-the-bid gets much costlier in a crisis when spreads widen out.

A liquidity option would be designed to allow investors to do the impossible: sell rapidly at the offer price. Using the Google example from above, an investor who buys a Google liquidity option would be allowed to exercise the option and immediately buy Google from the option seller at the current market offer price, say $660, and not the bid price, say $650. If buyers were to flee and liquidity evaporate such that the level of bids falls to $600, the owner of the option is protected since they can sell Google at the offer price of $660, and not the much lower bid price of $600.

Think about it this way. Whereas a regular put option provides downside price protection by allowing the owner to sell at a fixed price, a liquidity option allows them to sell at a fixed spread. Buying liquidity protection for one Google share would probably be much cheaper than getting downside price protection for that same share.

What should the price of a liquidity option be? Say that the difference between Google's bid and ask is typically $10. An insurance writer who is is required to purchase Google from the option owner at the offer price can typically only offload this risk by turning around and selling Google at a $10 loss. They will therefore require an initial insurance payment, or premium, of at least $10 to compensate.

When a liquidity crisis hits the current bid-ask spread will widen and insurers will ask for higher premiums on newly issued insurance. If current liquidity stays healthy but the odds of future liquidity crisis increase such that future Google bid-ask spreads are expected to be quite wide, then the liquidity insurance writer will require more compensation as well. The value of a liquidity option depends on both current and expected illiquidity. Conversely, if liquidity risks are expected to decline, buyers will ask for lower premiums since they don't expect the insurance to offer much protection over its contract life.

Those investors who have hedged against liquidity risk by buying liquidity options need never fear illiquidity again. If liquidity stays healthy their liquidity options will expire worthless but they'll have no problems exiting their positions. If liquidity deteriorates they can no longer exit their positions directly by selling on the market but can just as easily get liquid by exercising their options.

In addition to Google, a well designed liquidity market would have liquidity options on all major equities, ETFs, and widely traded fixed income products. Full democratization of liquidity insurance would be achieved by having these options trade on public markets. Information about the price of liquidity would become widely available so that investors could "internalize liquidity risk", as Cecchetti & Schoenholtz put it. If they didn't like the risks they found themselves facing, investors could use these products to reorient themselves. Take a family with a mortgage that was too afraid to buy Google because of the potential for an outbreak of illiquidity at the same time that a mortgage payment comes due. The can now own shares and hedge away their liquidity risk by purchasing a liquidity option. Folks like Warren Buffett, a conservative investor with a strong balance sheet capable of withstanding liquidity crisis, would be able to earn extra income by writing liquidity options and collecting premia.

In sum, with a well designed liquidity options market, the risks of illiquidity are distributed to those who want to bear them and away from those who don't. Markets will probably be much less fragile. As for central banks, with the market providing both liquidity insurance and liquidity pricing, central bankers can focus much more on what they should be doing; monetary policy.

Wednesday, October 14, 2015

Are prices getting less sticky?

Sticky prices illustrated, from Eichenbaum, Jaimovich, and Rebelo (link)

What makes ride sharing firm Uber interesting is not just its use of new technology to mobilize unused car space, but the method it uses to price its services. Uber's surge pricing algorithm varies cab fares dynamically. To get from A to B, the car that you hired this morning for $10 could end up costing $100 this afternoon.

How unlike the traditional taxi fare it is displacing! In their 2004 paper on sticky prices, economists Bils and Klenow found that taxi fares tended to remain at the same level for 19.7 months before being adjusted. Getting from A to B pretty much costs you the same price day-in-day-out for almost two years.

In our internet age, are prices getting less sticky? 

At first glance no. Alberto Cavallo, who along with Roberto Rigobon created the Billion Prices Index (the bane of all inflationistas), has analyzed scraped data from the websites of retailers who continue to sell mostly through bricks & mortar stores, say like Walmart. Cavallo finds that U.S. online prices stay fixed for 42 days, about the same as offline prices.

On the other hand, Gorodnichenko, Sheremiro, and Talavera find that online prices exhibit more flexibility than offline prices. Unlike Cavallo, the authors analyze data from an online-only store, say like an Amazon (they aren't permitted to disclose which store). However, while Gorodnichenko et al find that online prices are less rigid than bricks & mortar prices, they still exhibit unusually long price spells, or periods of fixity. These spells tend to endure for about 7 to 20 weeks, two-thirds shorter than offline spells when the effect of discounts/sales has been removed. The result is counter-intuitive, say the authors, given that online stores have the technology to cheaply adjust prices as supply and demand change, yet for some reason choose not to.

Even though both papers were published in 2015, Cavallo and Gorodnichenko are using relatively stale data. The first dataset runs between October 2007 and August 2010 while the latter spans the period between May 2010 and February 2012. This delay is unfortunate as the online world is changing fast. Recent industry articles point to a large ramp-up in the use of dynamic pricing by retailers over the last few years. For instance, Profitero, a price intelligence provider, charts out a step-wise change in the pace of Amazon's price changes beginning in late 2012. According to competing price intelligence company 360pi, by 2014 some 18% of Amazon's prices were changing daily.

The same goes for an old dinosaur like Sears. While Sears' online prices rarely underwent changes in the earlier part of this decade, around 18% of its prices are now being adjusted each day, on par with Amazon. And now Sears is trying out digital signs in its bricks & mortar stores to ensure quicker offline price changes.

The moral economy

If we are indeed entering an Uber-style flex-price world, what underlying factors had to change for this to happen? It's not technology—we've always had the means to set rapidly changing prices, just look at financial markets. If anything had to bend in order for pricing patterns to change, it was the ethics of price setting.

To understand why, we need to explore one of the enduring questions in economics: why goods & services prices remain fixed in the face of continuously changing demand and supply conditions. When economist Alan Blinder polled businesses in the early 1990s to find out why they kept prices unchanged for long periods of time, the most common answer was the desire to avoid "antagonizing" customers or "causing them difficulties." Blinder's findings evoked Arthur Okun's earlier (1981) explanation for sticky prices whereby business owners maintain an implicit contract, or invisible handshake, with customers. If buyers view a price increase as being unfair, they might take revenge on the retailer by looking for alternatives. A retailer who promises to adjust prices rarely and only when costs justify it thereby avoids antagonizing customer sensibilities, and in return the customer provides a degree of loyalty.

The idea that prices are set within an overall moral framework predates Blinder and Okun. Nobel Prize winning economist John Hicks, for instance, once wrote that the notion that all prices are perfectly flexible was highly unrealistic and attributed rigidity to legislative control, monopolistic action "of the sleepy sort which does not strain after every gnat of profit, but prefers a quiet life," and "lingering notions of a ‘just price’."

Hicks' use of the word 'lingering' refers to the extended lineage of the concept of the just price. The belief that it is in some way sinful to sell a product for more than its fair price is a very old one, going back to early economic thinkers like Thomas Aquinas. In the age that Aquinas inhabited the economic roles that individual were permitted to play and the prices they could set were determined by tradition and custom. Historian E.P Thompson once referred to this as the "moral economy." For example, medieval English farmers could not sell their corn directly from their fields but had to bring it in bulk to the local "pitching market." Speculation, or the practice of "withholding" in the anticipation of better prices, was prohibited. Once at market, no sales of corn could be made before stated times. When the bell rang, the poor had the first chance to buy, and only after could larger dealers make purchases. These various market structures were designed to ensure a just price and fair profits.

Even as these structures were slowly unwound, writes Thompson, the English populace clung to the old morality, the physical incarnation of this being food riots which swept the countryside during the 18th century. These riots weren't random attempts to pilfer. Rather, they were relatively sophisticated affairs whereby rioters would organize to set the price of a good, in effect forcing the offending retailer to sell their wares at the level deemed just rather than at its much higher market-determined rate.

In the same way that 17th century rioters self-regulated markets by threatening to set the price for corn or bread, modern shoppers who encounter an unjust price threaten to cross the aisles towards the competition. Eager to avoid being punished by their customers' wrath, retailers implicitly promise to keep their prices fixed for long periods of time.

I find it interesting that even when we start from scratch, the notion of a just price quickly emerges. In his account of a temporary P.O.W. camp economy in which cigarettes circulated as money, R.A. Radford notes that:
There was a strong feeling that everything had its "just price" in cigarettes. While the assessment of the just price, which incidentally varied between camps, was impossible of explanation, this price was nevertheless pretty closely known. It can best be defined as the price usually fetched by an article in good times when cigarettes were plentiful. The "just price" changed slowly; it was unaffected by short-term variations in supply, and while opinion might be resigned to departures from the "just price," a strong feeling of resentment persisted. A more satisfactory definition of the "just price" is impossible. Everyone knew what it was, though no one could explain why it should be so.
Behavioral economists also find evidence of a just price mentality. Using telephone surveys, Kahneman, Knetsch, and Thaler were able to isolate community standards of price fairness. Generally, consumers feel they are entitled to their reference price, or past price. They also believe firms are entitled to their reference profit and deem it fair for a firm to raise prices to protect that profit, say because the firm's costs have increased. A firm that takes advantage of an increase in demand by raising its price and makes more than its reference profit is, however, breaking the rules of the game and acting unfairly.


So let's bring this back to Uber surge pricing and Amazon/Sears dynamic pricing.

I see two angles here. After centuries of a just price morality, perhaps we are inching towards an alternative framework. Maybe we've finally overcome our revulsion to an 'unfair price' that varies according to fluctuations in demand. Instead of the 19.7 month price spells of yore, we're now willing to endure 19.7 minute price spells. Morality changes, after all; slavery and death penalties used to be common, abortion was prohibited. If so, Uber and Amazon's pricing policy are emblematic of this underlying morality switch.

Or maybe we haven't switched at all and are still operating under the old rules of the moral economy. If so, the new pricing technologies adopted by Amazon and Uber are destined to be met by a titanic wave of consumer revulsion. This may be already happening; Uber's surge pricing policy has attracted plenty of negative press (here and here). Morality is a powerful force; unless they want to be dashed to pieces, the offenders will have to relent and make their prices more sticky.

Monday, October 5, 2015

How I learned to stop worrying and accept deflation

Why can't we create inflation anymore? Maybe it's because money isn't what it used to be.

Money used to be like a car; the market expected it to depreciate every day. When we buy a new car we accept a falling resale value because a car provides a recurring flow of services over time; each day it gets us from point a to point b and back. And since these conveniences are large, the market prices cars such that they yield a steady string of capital losses.

Money, like cars, used to provide a significant flow of services over time. It was the liquidity instrument par excellence. If a problem popped up, we knew that money was the one item we could rapidly exchange to get whatever goods and services were necessary to cope. Given these characteristics, the market set a price for money such that it lost 2-3% every year. We accepted a sure capital loss because we enjoyed a compensating degree of comfort and relief from having some of the stuff in our wallets.

These flows of services are called a convenience yield. Assets that throw off a convenience yield, like cars and money, typically have negative expected price paths. Let's call them Type 1 assets.

Type 2 assets, things like stocks and bonds, don't boast a convenience yield. Without a convenience flow, people only buy them because they promise a real capital return. One way a Type 2 asset provides a capital return is via a positive expected price path. We only hold Google shares because we expect them to rise by around 5-10% a year. Same with treasury bills. The government issues a bill at, say, $97, and they mature a year later at $100.

Another way for a Type 2 asset to provide a capital return is via periodic payments. A bond or an MBS doesn't rise over time. Rather, it provides its return in the form of regular coupon payments.

Could it be that money has steadily lost its convenience yield? If so, it's shifted from being a Type 1 asset with a negative expected price path towards being a Type 2 asset. That would explain our new deflationary era. In the same way that Type 2 assets like Google and t-bills have to offer a positive expected price path if they are to be held, the purchasing power of money needs to improve over time. And since everything in the world is priced in terms of money, that means that the price level can no longer inflate, it has to deflate.

Where has money's once considerable convenience yield gone? The costs of creating liquidity have been steadily diminishing. Wall Street has been able to make a wide variety of assets like stocks and bonds much more liquid at less cost. So whereas money was once the liquidity instrument par excellence, people now have a multitude of liquid instruments that they can choose from. At the same time, central banks, via quantitative easing, have create massive amounts of central bank liabilities. With a sea of liquid assets, maybe liquidity just isn't a valuable commodity anymore.

Welcome to deflation, folks. Into the vacuum left by money's retreating convenience yield, a promise of capital returns has sprung up.

Reversing deflation?

Even if money has become a Type 2 asset, central bankers can still get the inflation rate back to 3%. To do so, they'd have to change the nature of the capital return that it offers. Like Google shares, money now seems to promise a rising expected price path (i.e. deflation). Central bankers need to switch that out with a bond-style promise of juicier periodic payments. This would involve a central banker ratcheting up the interest rate on money balances, or reserves, to an above-market level. Only with an unusually high interest rate on reserves would people once again accept a declining expected price path for money (i.e. inflation).

For an analogy, imagine that tomorrow the U.S. Treasury were to issue a new 10-year bond with an outlandishly high 10% coupon. With the market-clearing yield on existing 10-year bonds sitting at just 2%, the new bond would start trading at a large premium to its $1000 face value and slowly fall over time. Likewise, money that sports an outlandishly high interest rate would steadily lose purchasing power. 

Ratcheting up rates in order to get us back to a 3% inflation path could be a ghastly experience. Before it can start rolling down the hill again, money's purchasing power would have to rise sharply in value. But money is the unit in which everything else is priced, which means the price level would need to rapidly deflate. If prices are sticky, this could result in a glut of unsold labour and goods; a recession.

Alternatively, might a central bank rekindle inflation by forcing interest rates below their market level? In the short term we'd get a quick one-time dose of inflation. But after the adjustments had been made the price level would only continue its previous deflationary descent. A central banker would have to consistently ratchet down interest rates to generate a perpetual series of one-time inflationary pops in order to keep hitting its 2-3% inflation target. This strategy would run into problems. Go much below -1% and a central bank will hit the lower bound. Unless it wants to risk mass cash storage, it won't be able to go further. Even if a central bank devises ways to get below -1%, it'll have to perpetually ratchet rates down in order to spur the next one-time pop in inflation. Once it hits -20%, or -30%, one wonders whether the market won't simply adopt an alternative currency.

Given that these two options don't seem too comforting, maybe we should just get used to a bit of deflation.

Tony Yates responds here and here.

Thursday, September 24, 2015

Andy Haldane and BOEcoin

The 1995 British two pound "Dove" coin

The Bank of England's chief economist Andrew Haldane recently called for central banks to think more imaginatively about how to deal with the technological constraint imposed by the zero lower bound on interest rates. Haldane says that the lower bound isn't a passing problem. Rather, there is a growing probability that when policy makers need three percentage points of headroom to cushion the effects of a typical recession, that headroom just won't be there.

Haldane pans higher inflation targets and further quantitative easing as ways to slacken the bound, preferring to focus on negative interest rates on paper currency, a topic which gets discussed often on this blog. He mentions the classic Silvio Gesell stamp tax (which I discussed here), an all out ban on cash as advocated by Ken Rogoff, and Miles Kimball's crawling peg (see here).

According to Haldane, the problem with Gesell's tax, Rogoff's ban (pdf), and Kimball's peg is that each of these faces a significant 'behavioural constraint.'  The use of paper money is a social convention, both as a unit of account and medium of exchange, and conventions can only be shifted at large cost. Tony Yates joins in, pointing out the difficulties of the Gesell option. Instead, Haldane floats the possibility of replacing paper money with a government-backed cryptocurrency, or what we on the blogosphere have been calling Fedcoin (in this case BOEcoin). Unlike cash, it would be easy to impose a negative interest rate on users of Fedcoin or BOEcoin, thus relaxing the lower bound constraint. Conventions stay intact; people still get to use government-backed currency as a medium of exchange and unit of account.*

While I like the way Haldane delineates the problem and his general approach to solving it, I'm not a fan of his chosen solution. As Robert Sams once pointed out, Fedcoin/BoEcoin could be so good that it ends up outcompeting private bank deposits, thus bringing our traditional banking model to an abrupt end. Frequent commenter JKH calls it Chicago Plan #37, a reference to a depression-era reform (since resuscitated) that would have outlawed fractional reserve banking. If Haldane is uncomfortable with the Gesell/Rogoff/Kimball options for slackening the lower bound because they interfere with convention, he should be plenty worried about BOEcoin.


I do agree, however, with Haldane's point that the apparatus adopted to loosen the constraint should interfere with convention as little as possible. We want the cheapest policies; those that only slightly impede the daily lives of the typical Brit on the street while securing the Bank of England a sufficient amount of slack.

With that in mind, here's what I think is the cheapest way for the Bank of England to slacken the lower bound: just freeze the quantity of £50 bills in circulation. Yep, it's that easy. There are currently 236 million £50 notes in circulation. Don't print any more of them, Victoria Cleland.**

I call this a policy of embargoing the largest value note. How does it work?***

Say that in the next crisis, the Bank of England decides to chop rates from 0.5% to -2.0%. Faced with deeply negative interest rates, the UK runs smack dab into the lower bound as Brits collectively try to flee into banknotes. After all, banknotes offer a safe 0% return, the £50 note being the chosen escape route since those are the cheapest to store and convey.

Flooded with withdrawal requests, banks will quickly run out of £50s. At that point the banks would normally turn to the Bank of England to replenish their stash in order to fill customers' demands. But with the Bank of England having frozen the number of £50s at 236 million and not printing any new ones, bankers will only be able to offer their customers low denomination notes. But this will immediately slow the run for cash since £20s, £10s, and £5s are much more expensive to store, ship and transfer than £50s. Whereas people will surely prefer a sleek high denomination note to a deposit that pays -2%, they will be relatively indifferent when the choice is between a bulky low denomination cash and a deposit that pays -2%. Thus the lower bound has been successfully softened by an embargo on the largest value note.

Once negative interest rates have served their purpose and the crisis has abated, they can be boosted back above 0% and the central bank can unfreeze the quantity of £50s. Everything returns to normal.

A few conventions will change when the largest value note is embargoed.

1. People will no longer be able to convert £50 worth of deposits into a £50 note. Instead they'll have to be satisfied with getting two £20s and a £10. That doesn't seem like an expensive convention to discard. And if folks really want to get their hands on £50s, they'll still be able to buy them in the secondary market, albeit at a small premium.

2. In normal times, £50 notes always trade at par. Because their quantity will be fixed under this scheme, £50s will rise to a varying premium above face value whenever interest rates fall significantly below zero. For instance, at a -2.0% interest rate a £50 note might trade in the market at £51 or £52.

The par value of £50 notes is a cheap convention to overturn. The majority of the British population probably don't deal in £50s anyways. Those who do use £50 notes in their daily life will have to get used to monitoring their market price so that they can transact at correct prices. But the inconveniences faced by  this tiny minority is a small cost for society to pay in order to slacken the lower bound.

3. Importantly, there will be no need to proclaim a unit of account switch upon the enacting of an embargo on £50s; the switch will be seamless.

Because the £50 was never an important part of day-to-day commercial and retail existence, come negative interest rates no retailers will set their prices in terms of a £50 standard. If they do choose to set sticker prices in terms of the £50 note, they will find that if they want to preserve their margins they will have to levy a small surcharge each time someone pays with £20s, £10s, and £5s and bank deposits. Given the prevalence of these payment options, that means surcharging on almost every single transaction. That's terribly inconvenient. Far better for a retailer to set sticker prices in terms of the dominant payments media—£20s, £10s, and £5s and bank deposits—and provide a small discount to the rare customer that wants to pay with £50s.

It's entirely possible that the majority of retailers will not bother offering any discount whatsoever on £50s. This would effectively undervalue the £50 note. Gresham's Law tells us that given this undervaluation, the £50 will disappear from circulation as it gets hoarded under people's mattresses. For the regular British citizen, never seeing £50s in circulation probably won't change much. And anyone who does want a £50 can simply advertise on Craig's list for one, offering a high enough premium to draw it out of someone's hoard.

In closing, a few caveats. The figures I am using in this post are ballpark. It could be that a policy of freezing the supply of £50 notes allows the Bank of England to get to -2%. But maybe it only allows for a level of -1.75%, or maybe it slackens the bound so much as to allow a -2.5% rate.

Haldane mentions that the Bank of England could need 3% of headroom to combat subsequent recessions. But as Tony Yates has pointed out, in 2008 bank officials calculated that a -8% rate was needed. The Bank could get part way there by not only embargoing the £50 but also the next highest value note; the £20. But that probably wouldn't be enough. As ever smaller notes have their quantities frozen, this starts to intrude on the lives of the people on the street, making the policy more costly. If it needs to slacken the lower bound in order to allow for rates of -8%, I think the Bank of England should be planning for a heftier policy like Miles Kimball's crawling peg. After all, when the sort of crisis that requires such deeply negative rates hits, the last thing we should be worried about is disturbing a few conventions. Until another 2008-style crisis hits, embargoing large value notes might be the least intrusive, lowest cost option. 

*Of these policies, I think Miles Kimball's plan is by far the best one.
**Specifically, the Bank would only print new bills to replace ripped/worn out bills. Otherwise the outstanding issue will wear out and become easier to counterfeit. As for Scotland, which issues 100 pound notes, their quantity would have to be fixed as well.
*** I first mentioned the idea of embargoing large notes in relation to the Swiss 1000 CHF note, and later elaborated on it in the Lazy Central Banker's Guide to Escaping Liquidity Traps.