Online Teaching: Promise, Pitfalls and Potential!

I am a teacher. That is how I describe myself to anyone who chooses to ask me what I do for a living. I am not a professor (sounds pedantic and pompous), definitely not an academic (how boring is that..) and don't consider myself anything more than a dilettante on almost every topic that I hold forth on. It is in pursuit of my teaching mission that I have put my regular classes online for most of the last two decades, though technology has made that sharing easier. For those of you who have read my postings before, I usually announce a few weeks ahead of every semester, the classes that I will be teaching at Stern, what each class is about and how you can access it, as I did in January with my Spring 2017 valuation and corporate finance classes. As September 2018 approaches, I was going to skip that ritual, since I will be on sabbatical next year (and if you have no idea what a sabbatical is, more on that later..) but I will be teaching, nevertheless, during the year.

Online Education

I still remember the first semester that I shared a class with an online audience was in the 1990s, when the internet was still in its infancy, we were still using dial-up modems and phones were connected to landlines. I recorded my regular classes using a VHS camcorder onto tapes, and then converted the tapes into videos of woeful quality, but with passable audio. I posted these online, but with only minimal additional material, since sharing was both time consuming and difficult to do. Needless to say, the internet has grown up and made sharing much easier, with class recordings now being made with built-in cameras in classrooms and converted to high quality videos quickly, to be watched on tablets on smart phones. Here, for instance, is my entire Spring 2017 valuation class, with links to the videos as well as almost every scrap of material that I provide for the class and even the emails I sent to the class.

I have long believed that the traditional university model not only is ripe for, but is deserving of , disruption, saddled with legacy costs and a muddled mission. That said, the attempts by online education to upend the university model have, for the most part, had only marginal success and it is in trying to answer why that I started thinking about how we teach, and learn online. In particular, online classes have proved a imperfect substitutes for regular classes due to three shortcomings:

1. No personal touch: This may be a reflection of my age, but there is a difference between being in a live  and watching a video of the same class, no matter how well it is recorded and presented. 
2. No interaction: We forget how much of the learning in a classroom comes, not from lectures, but from interaction, not just between the teacher and students but between students, often in informal and serendipitous exchanges. With online education, the interaction, if it exists, is highly formalized and there is less learning.
3. Tough to stay disciplined: When you were in college, and enrolled for an 8.30 am class, did you feel like not going to class? I certainly did, but what kept me going was the fact that my absence would be noticed, not just by the professor, but by other students in the class. In fact, it is that group pressure and class structure that keeps us focused on project deadlines and exam dates, with regular classes. With online classes, that discipline has to come from within, and it should be therefore no surprised that most people who start online classes never finish them. 

It is perhaps easiest to see the challenges and limits of online teaching by looking at what it is that makes for a good class, in person or online. In my view, the measure of good teaching is that students don't get just content (tools, techniques, models) but that they learn how to create their own content, i.e., the capacity to devise their own tools to meet their needs. In the context of a regular class, you use readings, problem sets, quizzes and exams to deliver the former (content) but the latter (learning) requires a more complex mix of classroom and informal interaction, real life projects and intellectual curiosity (and I believe that it is partly a teacher's responsibility to evoke that). The time schedule of a regular class also puts limits on how much students can procrastinate, and peer pressure, from others taking the class or working with you on assignments, serves to keep most on task. 

With this framework, the challenges of teaching online become clear. You have to find ways to keep students engaged, disciplined and interactive, and you have to do it online. While there are technical solutions to each one of these challenges (great videos for engagement, a time schedule and online exams for discipline, and discussion boards for interaction), and we have come a long way in the last few years, there is still a great deal of work to be done.  

Online Classes: My learning curve

My search for a better way of delivering what I teach online started about five years ago, with a simple first step. I decided to try to take each of my regular lectures, which go for 80 minutes, and see if I could compress it into a 10-12 minute slot and the results were both revealing and humbling. It was not that difficult to compress my classes, a testimonial to how much buffer I build into my regular classes to ramble and pontificate. (If you have been in one of my regular classes or watched one, you probably know that there is nothing I enjoy more than going off on a riff on a topic or news story and I think you need a few of these in a 80-minute class to keep your class engaged.) I also started developing short post-session quizzes with solutions that someone watching the class could take, to check on whether they were "getting" the session material. I organized and sequenced the sessions and you can click to see the online versions of my corporate finance, valuation and investment philosophy classes. 

I was under no illusions that I had unlocked the key to online learning with these classes, and these classes had significant limitations. First, packing material densely into 10-12 minute chunks can make watching even these short sessions taxing. Second, the videos that I made (with the help of a friend who was a camera man) were lacking in bells and whistles, basic talking-head videos with slides in the background. Third, there is no personal touch or interaction, since the videos are recorded. Finally, given the number of people in each of these classes, there was no way for me to give and grade exams, look over valuations or corporate financial analysis (a key ingredients of my regular classes) or provide certification that someone had taken the class.

Valuation Certificate Class

Just over a year ago, the Stern School of Business, which is where I teach, asked me whether I would be willing to teach an online certificate class. My initial response was to say no for two reasons. First, universities always seem to operate at deficits, no matter how much revenue they collect from tuition, and I knew that Stern would extract its pound of flesh from those who took the certificate. Second, I was concerned that if I did do a certificate class, and it became a money generator, that I would be asked to remove my free online classes. Stern must have wanted to do this certificate really badly since they offered to leave my online material untouched, if I agreed to work on the certificate course. It was this assurance, in conjunction with the opportunity to have videos shot in a studio, a platform that would allow me to offer exams and quizzes and discussion boards that finally led me to yes. 

So, what makes the valuation certificate class different from the free online version? It is certainly not the content, since everything I teach in the certificate class is available on my website in multiple forms, but here are a few of the primary differences:

1. Studio-shot videos: A studio, with professionals manning cameras, sound and lights, does allow for much better videos. With the help of a talented group that knows a lot more about editing and animation than I ever will, the final versions of the online classes are better than my online videos. There are, in all, 28 video sessions, with two sessions each week, over a 14 week time period. 
2. Supporting material: In addition to the post class tests and the supporting slides, I have links to papers, spreadsheets, data, YouTube videos and blog posts that go with each session. While I am a realist and know that much of this additional material will go untouched, having it accessible will make it easier for you to use it, if you feel the urge.
3. Live Webex sessions: Every two weeks, through the semester, we will have a live webex session, where you (if you are enrolled in the class) can ask questions, not just about material covered in the previous week's sessions but news stories and happenings. I know it is not much, but it is a step in the right direction.
4. Announcements and outreach: I contact the students in my regular classes about once a day, but I will spare you that level of harassment. You will hear from me a couple of times every week, checking in on how you are doing and keeping you updated on the course. 
5. Exams/Quizzes: There will be three quizzes and a final exam for the class. While they will  be scheduled on specific dates, you can take them any time during a 24-hour time period and if you miss a quiz, the points will be moved to the remaining quizzes. So, if life gets in the way and you are unable to take a quiz, it is not the end of the world.
6. Valuation Project: Each person in the class can pick any company he or she want to value and value it, over the course of the class. Midway through the semester, I will offer feedback, if you want,  to allow you to tweak your valuation, and at the end of the semester, it will become a significant part of your overall grade.
7. Certificate: After the final exam and valuation are graded, you will receive a certificate for the class, if you complete the requirements. If you do exceptionally well (and you will have to leave that judgment to me), your certificate will come "with honors".

There were 66 people who signed up for the pilot version of the class, which started in January 2017 and 39 completed the class in May 2017. I learned as much from my students as I hope they learned from me, and here are a few lessons. First, I discovered that the discussion boards were effective at creative interactive discussions, among the students, if I did my job and organized the boards by topic. Second, in perhaps the most rewarding part of the class, a few students, who found the material both interesting and easy to grasp, took on the role of teachers helping others deal with mechanical and conceptual questions. Since the most effective way to learn something is to explain it to someone who does not quite "get" it, I restrained myself from jumping into the discussion boards, unless absolutely necessary. Third, I was impressed with both the work that was put into and the quality of the valuations that were turned in by those who finished the class. Of the 39 who were certified at the end of the class, about a third did well enough to get "with honors" attached to the certificate. I would have been proud with any of these students in my regular classes.

This fall, Stern will be offering the valuation certificate class to a bigger audience, with a class of several hundred. The good news is that the class will be tweaked to reflect the lessons learnt from the pilot class. I will continue to do what I did for the pilot, with my webex sessions, and provide feedback and grades not only for your exams but on the companies that you choose to value. The bad news is that Stern will charge "university level" prices for the class and I will not try to tell you that it is "worth it", since that depends on your circumstances. It is entirely possible that you will decide that the price charged is too much for a certificate, that you cannot afford it, or that you are more interested in the learning than in the certification, and if so, I hope that you give the free online version of the class a shot. If you are interested in enrolling in the class, the webpage where you can start the process is here. Incidentally, a pilot version of my corporate finance class, also offered as a certificate class, will be run in Spring 2018, and if you are interested, here is that link.

My Sabbatical

I mentioned, at the start of this post, that I would be on sabbatical, and at the risk of evoking envy, I will tell you what that involves. I am taking the 2017-18 academic year (September 2017- September 2018) off from my regular teaching, as I am allowed to do every seventh year. It is an entitlement that people in most other professions don't have and I recognize how incredibly lucky I am to be able to take a paid break from work. I do have a few odds and ends to take care off during the year, including teaching the certificate classes that I just listed and writing the third edition of The Dark Side of Valuation, but I plan to spend much of the year idling my time away, thinking about nothing in particular. That may sound wasteful, but I have discovered that my mind is most productive, when I am not trying too hard to be insightful. At least, that's my hope and if it does happen, that would be great. I  But then again, if I don't have a single creative thought all year, that too was meant to be! 

YouTube Video

My Free Online Classes

1. Corporate Finance (YouTube Playlist version)
2. Valuation (YouTube Playlist version)
3. Investment Philosophies (YouTube Playlist version) (New version will be out at the start of 2018)

Stern Certificate Classes

1. Valuation Certificate (Fall 2017)
2. Corporate Finance Certificate Pilot (Spring 2018)

The Dark Side of Globalization: An Update on Country Risk!

The inexorable push towards globalization has stalled in the last few years, but the change it has created is irreversible. The largest companies in the world are multinationals, deriving large portions of  their revenues from outside domestic markets, and even the most inward looking investors are dependent upon global economies for their returns. As a consequence, measuring and incorporating country risk into decision making is a requirement in both corporate finance and valuation. It is in pursuit of that objective that I revisit the country risk issue twice every year, once at the start of the year and once mid-year, at which time I also update a paper that I have on the topic, that you are welcome to read or browse or ignore.

The Globalization of Companies

There are some investors, especially in the United States, who feel that they can avoid dealing with risk in other countries, by investing in just US stocks. That is a delusion, though, because a company that is incorporated and traded in the United States can derive a significant portion of its revenues and earnings from outside the country. In 2015, the companies in the S&P 500, the largest market cap stocks in the US, derived approximately 44% of its revenues from foreign markets, down from 48% in the prior year.

Source: S&P

The composition of foreign sales is also changing, though gradually, over time, shifting away from the UK and Europe to emerging markets, as evidenced in the graph below:

Source: S&P

Lest you feel that this graph is skewed by the biggest companies in the index, 239 of the 500 companies in the index reported that foreign sales represented between 15% and 85% of their total sales and 13 companies reported that more than 85% of their sales came from outside the US. In 2014, two companies, Accenture and Seagate Technology, reported that all their sales were foreign, making them US companies only in name. (Many of you have pointed out that Accenture has significant US sales and that is true. I am just excerpting from the S&P report, which should lead you to question how S&P classifies foreign sales.)  This phenomenon is not restricted to US companies, as the largest companies in most markets exhibit similar characteristics. While we can debate whether these trend lines are good or bad for consumers and investors, the consequences are real:

1. Fraying link to domestic economies: For decades, the conventional wisdom has been that the stock market in a country is closely tied to how well the economy of that country is doing. That relationship has been weakened by globalization and equity market performance around the world is disconnecting from domestic economic growth. Taking the US as an example, consider that equity markets in the US have been on a bull run, with indices up 170% to 200%, cumulatively since 2009, even as the US economy has been posting anemic growth.
2. Central Banking power is diluted: In the decades since the great depression, we have to come to accept that central banks can use the policy levers that they have at their disposal to move long term interest rates and to strongly influence overall economic growth, but that power too has been reduced by globalization and its unpredictable flows. It should come as no surprise then that the frantic efforts of central banks\ in the US, Europe and Japan, in the last decade, to use the interest rate lever to pump up economic growth or to alter the trajectory of long term interest rates have failed.
3. Taxing questions: When writing tax code, governments have generally assumed that companies incorporated in their domiciles have little choice but to accede to tax laws eventually and pay their share of taxes. While companies have historically played the tax game by delaying and deferring taxes due, their global reach now seems to have shifted the balance of power in their direction. In the United States, in particular, where the government has tried to tax companies on their global income, this push back has taken the form of trapped cash, as companies hold trillions of dollars of cash on foreign shores, and inversions, where some US companies have chosen to move their home base to more favorable tax locales.
4. Declining cross-market correlations: As companies globalize, it should come as no surprise that the correlations across global equity markets have climbed, with two immediate consequences. The first is that global crises are now an almost annual occurrence rather than uncommon surprises, as pain in one market quickly spreads across the world. The second is that the salve of geographic diversification, long touted as protection against domestic market shocks, provides far less protection than it used to.

The bottom line is that there is no place to hide from country risk, and as with any other type of risk, it is best to face up to it and deal with it explicitly.

Country Risk - Default Risk Measures

The simplest and most easily measured country risk is the risk of sovereign default. When countries default on their obligations, it is not just the government that feels the pain but companies, consumers and investors do, as well.

Sovereign Default: Frequency and Consequences

Governments borrow money, both from their own citizens and from foreign entities, and they sometimes borrow too much. Some of these government default, not only on their foreign currency debt but also on their local currency debt, with the latter having become more common over time:

Source: Fitch Ratings

You may be puzzled by local currency debt defaults, since governments do have the capacity to print more of their own currency, but faced with a choice between defaulting or debasing their currencies, many governments choose the latter. When default occurs, the immediate pain is felt by the government and lenders, the former because it loses the capacity to borrow more, and the latter because they don't get paid., but there is collateral damage:

1. Capital Market Turmoil: Liquidity dries up, as investors withdraw from equity and bond markets, making it more difficult for private enterprises in the defaulting country to raise funds for projects and resulting in sharp price drops in both bond and stock markets.
2. Real growth: Sovereign defaults are generally followed by economic recessions, as consumers hold back on spending and firms are reluctant to commit resources to long-term investments.
3. Political Instability: Default can also strike a blow to the national psyche, which in turn can put the leadership class at risk. The wave of defaults that swept through Europe in the 1930s, with Germany, Austria, Hungary and Italy all falling victims, allowed for the rise of the Nazis and set the stage for the Second World War. In Latin America, defaults and coups have gone hand in hand for much of the last two centuries.

Sovereign Ratings

The most accessible measures of sovereign default risk are sovereign ratings, with S&P, Moody's and Fitch all providing both local currency and foreign currency ratings for most countries around the world. While there are many who mistrust these ratings, they are widely used as proxies of country risk and changes in ratings, especially down grades, are news worthy and affect markets. The process and metrics used to arrive at the ratings are described more fully here and here but the picture below summarizes the sovereign ratings assigned to countries in July 2017 and the data can be downloaded at this link:

Link for live map

The last decade has turned the spotlight on both the pluses and minuses of ratings. On the plus side, as the ratings agencies are quick to point out, ratings and default spreads are highly correlated. On the minus side, ratings agencies seem to have regional biases (under rating emerging markets and over rating developed markets) and are slow to change ratings. 

Sovereign CDS Spreads

In the last decade, we have seen the growth of a market-based measure of default risk in the Credit Default Swap (CDS) market, where you can buy insurance against sovereign default by buying a sovereign CDS. Since the insurance is priced on annual basis, the price of a sovereign CDS becomes a market measure of the default spread for that country. In July 2017, there were 68 countries with sovereign CDS and the picture below captures the pricing (with the data available for download at this link). One of the limitations of the CDS market is that there is still credit risk in the market and to allow for the upward bias this creates in the spreads, I compute a netted version of the spread, where I net out the US sovereign CDS spread of 0.34% from each country's CDS spread. 

Link for live map

To provide a comparison between the CDS and sovereign rating measures of default risk, let me offer two example. The sovereign CDS for Brazil on July 1, 2017, was 3.46%. On the same day, Moody rated Brazil at Ba2, with an estimated default spread of 3.17%, close to the CDS value. For India, the sovereign CDS spread on July 1, 2017, was 2.42%, very close to the default spread of 2.32% that would have been assigned to it based upon its Baa3 rating.

Country Risk - Institutional Risk

When investing in a company, the sovereign default risk is just one of many risks that you have to factor into your decision making. In fact, default risk may pale in comparison to risks you face because of the institutional structure, or lack of it, in a country. At the risk of picking at scabs, here is my shot at assessing some of these risks.

1. Corruption

Much as we like to inveigh against its consequences, corruption is not just part and parcel of operating in some parts of the world, but it takes on the role of an implicit tax, one that is paid to free agents, acting in their own interests, rather than to governments. Transparency International, an entity that measures corruption risk around the world, estimates corruption scores for individual countries and heir findings for 2016 are summarized in the picture below. To see where a country falls on the corruption continuum, you can either click on the live link below the picture or download the data by country by clicking here.

Link to live map

While it is easy to fall back on cultural stereotypes to explain differences across countries, there is a high correlation between economic well being and corruption. Thus, while much of Latin America scores low on the corruption, Chile and Uruguay rank much higher, as do South Korea and Japan in Asia.

2. Legal Protections

Even the very best investments are only as good as the legal protections that you have as an investor, against expropriation or theft, which is why the property right protections rank high on investor wish lists. To measure the strength of property rights, I turned to the International Property Rights Index (IPRI), and report the scores they assigned in their most recent update in 2016, to countries in the picture below. You can click on the live link below the picture or download the data here.

Link to live map

Europe, North America, Japan and Australia all score high on property rights, but the hopeful sign is that index itself has seen increasing respect for property rights across time and Venezuela and Myanmar are now more the exception, than the rule.

3. Risk of violence

It is difficult to do business, when you have bullets whizzing by and bombs going off around you. Holding all else constant, you would prefer to operate in parts of the world that are safer rather than riskier. To measure exposure to violence, I again turn to an external entity, Vision of Humanity, and reproduce their Global Peace Index in the picture below (with link to live map and to data):

Link to live map

In keeping with the adage that when it rains, it pours, the countries that are most susceptible to corruption and have weak property rights also seem to be most exposed to physical violence.

Country Risk - Equity Risk

As you can see, there are multiple dimensions on which you can measure country risk, leading to different scores and rankings. As an investor in the country, you are exposed to all of these risks, albeit to varying degrees, and you have to consider all these risks in making decisions. Consequently, you would like (a) a composite measure of risk that (b) you can convert into a metric that easily fits into your investment framework.

1. Country Risk Scores

There are several services that provide composite measures of country risk, including the Economist, Euromoney and Political Risk Services (PRS). These country risk measures take the form of numerical scores, and in the heat map below, I report the change in the PRS country risk score between July 2016 and July 2017 and categorize countries based on the direction and magnitude of the change. Here, as in the prior pictures, you can see the PRS scores and the change, by country, by either clicking on the live map link below the picture or download the data by clicking here). 

Link for live map

Based on the PRS scores, the vast majority of emerging markets became safer during the time period between July 2016 and July 2017, with the biggest improvements in Latin America and Asia. The North American countries saw risk go up, as did pockets of Africa and South East Asia. The problem with country risk scores, no matter how well they are measured, is that they do not fit a standardized framework. Just to provide an illustration, PRS scores are low for risky countries and high for safe countries,  whereas the Economist risk scores are high for risky countries and low for safe countries.

3. Equity Risk Premiums

To incorporate and adjust for country risk into investing and valuation, I try to estimate the equity risk premiums for country, with riskier countries having higher equity risk premiums. I start with the implied equity risk premium for the US, which I estimate to be 5.13% at the start of July 2017 as my mature market premium and add to it a scaled up version of the default spread (based upon the rating); the scaling factor of 1.15 is based upon the relative volatility of emerging market equities versus bonds. You can see a more detailed description of the process in the paper that is linked at the end of this post. You can look up the equity risk premium for an individual country by clicking on the live map link or download the data by clicking here.

Link for live map

These equity risk premiums are central to how I deal with country risk in valuation, as I will explain in the last section of this post.

Closing the Loop

When valuing companies that have substantial exposure to country risk, it is easy to get overwhelmed by the variety of risks. To keep the process under your control, you should start by breaking country risk into three buckets: risk that is specific just to that country, risk that is macro/global and discrete risks that are potentially catastrophic (such as nationalization or terrorism). Each has a place in valuation, with country specific risks incorporated into expected cash flows, macro economic risks in the discount rate and discrete risks in a post-valuation adjustment. 

1. Adjusting discount rates

The key to a clean country risk adjustment, when estimating discount rates, is to make sure that you do not double or even triple count it. With the cost of equity for a company, for instance, where there are only three inputs that drive the cost, it is only the equity risk premium that should be conduit for country risk (hence explaining my earlier focus on equity risk premiums, by country). The risk free rate is a function of the currency that you choose to do your valuation in and the relative risk measure (or beta, if that is how you choose to measure it) should be determined by the business or businesses that the company operates in. 

If you are discounting the composite cash flows of a multinational company, the equity risk premium should be a weighted average of the equity risk premiums of the countries that the company operates in, with the weights based on revenues or operating assets. If you are valuing just the operations in one country, you would use the equity risk premium just for that country.

2. Expected cash flows

With risks that are specific to a country, it is better to incorporate the risks into the expected cash flows. Thus, if a country is rife with corruption, you could treat the resulting costs as part of operating expenses, reducing profits and cash flows. When legal and regulatory delays are a feature of business in a country, you can build in the delay as lags between investing and operations. When violence (from terrorism or war) is part and parcel of operations, you may want to include a cost of insuring against the risk in your cash flows. 

None of these adjustments are easy to make, but it is worth remembering that incorporating the risk into your cash flows is not risk adjusting the cash flow, since the latter requires replacing the expected cash flow with a certainty equivalent one.  Where does currency risk play out? When converting cash flows from one currency (foreign) to another (domestic), you should bring in expected devaluation or revaluation into expected exchange rates. If you want to hedge exchange rate risk, you can incorporate the cost of heeding into your cash flows but it is not clear that you should be adjusting discount rates for that risk, since investors can diversify it away.

3. Post-Valuation Adjustment

There are some risks that are rare, but if they occur, can be devastating, at least for investors in a business. Included in this grouping would be the risk of nationalization and terrorism. These risks cannot be incorporated easily into discount rates and adjusting expected cash flows in a going concern valuation (DCF) for risk that a company will be nationalized or will not survive is messy. 

Thus, to estimate the effect that nationalization risk will have on the value of a business, you will have to assess the probability that the business will be nationalized and the value that you will receive as owners of the business, in the event of nationalization.

Danger and Opportunity

One of my favorite definitions of risk is the Chinese symbol for crisis, a combination of the symbols for danger and opportunity.

危機

With risky emerging markets, this comes into , I am reminded that to have one (opportunity), I have to be willing to live the other (danger). Blindly ignoring these markets, as some conservative developed market companies are inclined to do, because there is danger will lead to stagnation, but blindly jumping into them, drawn by opportunity, will cause implosions. The essence of risk management is to measure the danger in markets and then gauge whether the opportunities are sufficient to compensate you for the dangers. That is what I hope that I have laid the foundations for, in this post.

YouTube Video

Attachment

1. Country Risk: Determinants, Measures and Implications - The 2017 Edition

Data Links

1. Sovereign Ratings - July 2017
2. Sovereign CDS Spreads - July 2017
3. Corruption Scores - July 2017
4. Property Rights Index - July 2017
5. Peace/Violence Index - July 2017
6. PRS Score Groupings - July 2017
7. Equity Risk Premiums - July 2017

User/Subscriber Economics: Value Dynamics

In my last post, I tried valuing Uber by estimating how much an existing user was worth to the company and then using that number to extrapolate to the value of all existing users and the value added by new users. As always, I got many useful comments on what I was missing, what I could do better and what could be simplified, and I thank you (really). While I could spend this entire post rehashing assumptions, I don't intend to! To me, the most useful part of valuation is not the destination, i.e., the value that you get at the end, but the journey, i.e., the process of doing valuation, since it is the process that allows us to isolate the key drivers of value, which, in turn, focuses discussions on those variables, rather than on distractions. Consequently, I decided to revisit my Uber user-based valuation to see what I could eke out as implications for user or subscriber-based businesses.

Estimation versus Economic Risk
I will start by conceding the obvious. I made a lot of assumptions to arrive at the value of a user at Uber, but I will go further. There was not a single fact in that valuation, since every number was an estimate. That said, you could say that about the valuation of any company, with the divergence really being one of the degree of uncertainty you face, not in whether it exists. At the risk of restating points that I have made in my other writing, here are three general points that I would make about uncertainty in valuation.

1. Estimation uncertainty versus Economic uncertainty
To deal with uncertainty in a sensible way, you first have to categorize it. One of the categorizations that I find useful is to break the uncertainty you face when you are trying to value a business or an asset into estimation and economic uncertainty. Estimation uncertainty comes from incomplete, missing or misleading information provided by the company that you are valuing, whereas economic uncertainty is driven by forthcoming changes in the business that the company operates in, as well as macro economic factors. Estimation uncertainty can be reduced by obtaining better and more complete information but estimation uncertainty will remain resistant, no matter how much time you put in and what data analysis that you do. Using my Uber user valuation, it is true that some of the noise in the valuation comes from Uber being a private, secretive company and but most of the uncertainty comes from the ride sharing business being in a state of flux, as regulators and competitors work out how best to deal with shifting consumer tastes and changing technologies. This has two implications. The first is that even if you had access to more information, either because Uber decides to go public or you are an insider in the company, much of the uncertainty in estimated value per user will remain. The second is that your estimated value will change considerably over time, as the facts on the ground change, and that volatility in value cannot be viewed as a shortcoming of the model.

2. Uncertainty is an integral part of valuation
One critique that leaves me unmoved is that valuing a business or an asset, in the face of significant uncertainty, is pointless because you will be wrong. So what? Uncertainty is part and parcel of doing business and you cannot wish it, pray it or analyze it away. As I see it, you have two choices when it comes to uncertainty. You can deal with it frontally by making explicit assumptions or you can go into "denial" model and make implicit assumptions. When I tried to value a user at Uber, I made explicit assumptions about user life, renewal rates and a host of other variables, and I will cheerfully admit that I will be wrong on every one of them, but what is the alternative? When pricing a user by looking at what others are paying for users in similar companies, you are making assumptions about all of the variables as well, but those assumptions are implicit. In fact, they are hidden so well that you may not be aware of your own assumptions, a dangerous place to be when investing.

3. Uncertainty can (and should) be visualized 
Here is my response to uncertainty. Where data exists but I do not have access to that data, I will try to make my best estimates based upon the existing information, noisy, dated or second hand though it might be. Where I have access to data, I will check it against other data, common sense and economic first principles. Where there is no data, I will make my best estimates and to the extent that these estimates come with probability distributions, my value itself is a distribution, not a number. Illustrating this process, with the Uber user valuation:

Excel Add On: Crystal Ball (Oracle), Simulation Output

I have made distributional assumptions on four of my inputs: the portion of Uber's expenses that go to servicing existing users, the life time of a user, the proportion of expenses that are variable and the cost of capital (discount rate) to compute today's value.  Since these distributions are all centered on my base case assumptions, it should come as no surprise that the median value of a user ($414) is very close to my base case value ($410). However, there is a wide spread around that value, with the numbers ranging a low of $74, when the user life is short, the expenses of servicing a user are high, most of the costs are variable and the cost of capital is low, to a high of more than $1000 per user, when the opposite conditions hold. Note that at the current pricing of $69 billion, you are valuing each user close to $900, at the upper end of the distribution. 

User Economics: Cost Propositions
It is true that the end game for every business is to make money for its investors. That said, there is a tendency to over react, when a young company reports a loss, as was the case when Uber reported an operating loss of $2.8 billion for 2016, a few months ago. The pessimists on Uber viewed this as further evidence that the company was on a pathway to nowhere and that investors in the company must be delusional to attach any value to it. The optimists argued that it is natural for young companies to lose money and that Uber should be judged on other dimensions such as user growth and market potential instead. At the risk of angering both groups, I will use my Uber user valuation to argue that while I agree with the second group that losing money is typical at young companies, I will also take sides with the first group that you still need a pathway to profitability amidst the losses, for value to exist.

1. Servicing existing users versus acquiring new users
In my Uber user valuation, I started with the operating losses reported by the company ($2.8 billion), backed into the total operating expenses for the company ($9.3 billion) and then allocated that expense across three categories: servicing existing user (48.17%), acquiring new users (41.08%) and corporate expenses (10.75%). While I based this breakdown on the information (on increase in users and contribution margins in ride sharing) that I had on Uber in 2016, that information is dated, noisy and second hand. It is entirely possible that the actual break down of expenses is different from my estimate. If you are wondering why it matters, since the end result (that Uber lost $2.8 billion) is not changing, there are consequences that you can see in the table below:

Uber User Value: Existing User versus New User Costs

% of Operating Expenses spent on acquiring new users	Value of Existing Users	Value of New Users	Uber User Value	% of Value from Existing users
0%	$6,167	$18,147	$24,314	25.36%
20%	$10,619	$19,035	$29,654	35.81%
40%	$15,071	$19,923	$34,994	43.07%
60%	$19,523	$20,811	$40,334	48.40%
80%	$23,974	$21,699	$45,673	52.49%
100%	$28,426	$22,587	$51,013	55.72%

As you increase the proportion of the operating expenses that are spent on acquiring new users, the value of an existing user goes up because you are spending less money on providing service to that user, but the value of a new user also increases, as the net value added (the difference between the user value and the cost of acquiring a user) goes up. Ironically, as you spend more on acquiring new users and less on servicing existing users, the proportion of your value that comes from existing users increases.
User Value Proposition 1: A money-losing company that is losing money providing service to existing users/customers is worth less than a company with equivalent losses, where the primary expenses are coming from customer acquisitions.

This is, of course, neither profound nor surprising, and it explains why, left to their own devices and without any monitoring, young companies will claim that most or all of their expenses are for acquiring new customers. If you are investing in a young company, you will have to do your own assessment of whether managers are misrepresenting, by looking at expense growth over time versus new customers. If the number of total customers remains fixed and expenses keep rising, you should be skeptical about managerial claims (that most of the costs are for acquiring new customers).

2. Cost Structure
One reason that investors are willing to accept losses at young companies is because they believe that as the company grows its operations, there will be economies of scale. In income statement terms, this will result in expenses growing less quickly than revenues and improving operating margins. That said, you cannot take it on faith that this will always happen or that it will happen at the same rate for every company. To see the impact on user value of this dimension, I adjusted the portion of Uber's expenses that are variable (and will grow with revenues) and those that are fixed (and grow at a lower rate) and captured the value effect in this table:

Uber User Value and Cost Structure

% of current expenses that are fixed	Value of Existing Users	Value of New Users	Uber User Value	% of Value from Existing users
0%	$14,733	$15,250	$29,983	49.14%
20%	$16,412	$20,191	$36,603	44.84%
40%	$17,834	$24,373	$42,207	42.25%
60%	$19,040	$27,924	$46,964	40.54%
80%	$20,068	$30,949	$51,017	39.34%
100%	$20,947	$33,536	$54,483	38.45%

As the proportion of expenses that are fixed rises, the value of both existing and new users goes up but the latter goes up at a faster rate. Put simply, the economies of scale increase as you increase the rate at which you are adding scale.
User Value Proposition 2: A company whose expenses are primarily fixed (will not grow with revenues) will be worth more than an otherwise identical company whose expenses are variable (track revenues).

If unchallenged, young growth companies will always claim that they have massive economies of scale but that claim has to be backed up by the numbers. Specifically, investors should pay attention to the rate of change in revenues and expenses, since with large economies of scale, the former should change more than the latter. The caveat, though, is that having more fixed costs can increase risk, because it will increase the risk of failure at young companies and earnings volatility for more mature firms. As user growth levels off, having more fixed costs will reduce value rather than increasing it.

User Economics: Growth Propositions
For young companies, we generally view growth as good and while that is generally true, not all growth is created equal. In fact, even with young companies, there are some strategies that deliver growth in users or revenues, while destroying value. In a user or subscriber based model, there are two ways you can grow your revenues. One is to get existing users to buy more of your products or services and the other is by trying to acquire new users. While both can increase value, the former will be create more value, for two reasons. First, since it comes from existing customers, you don’t have to pay to acquire these users and it is thus less costly to the firm. Second, by increasing the value of a user, it increases the value of any new users as well, creating a secondary impact on value. Using my Uber user valuation, you can see the impact of changing the annual growth rate in revenues for an existing user in the chart below:

As revenue growth rate increases, the value of both existing and new users increases, with the value of Uber hitting $90 billion at high annual growth rates. If there is no growth in revenues, the value of Uber collapses as new users actually destroy value (because the cost of adding a new user exceeds the value of that user). Now consider how Uber's value is affected, if we hold existing user assumptions fixed and change the compounded annual growth rate (for the next 10 years) in the number of users:

While value increases with user growth rates, it increases at a lower rate than it did when we varied revenue growth from existing users.
User Value Proposition 3: A company that is growing revenues by increasing revenues/user is worth more than an otherwise similar growth company that is deriving growth from increasing the number of users/customers. 

Young companies face the question of whether to allocate resources to get new users or try to sell more to existing users is one of those. At least in the case of Uber, the numbers seem to indicate that the payoff is greater in getting existing users to use the service more than in looking for new users.

User Economics: Business Propositions
At the risk of stretching the user value model too far, it can be used to discuss business models in the space, from the networking benefits that so many companies in this space claim to possess to how the revenue model you choose (subscription, transaction or advertising) plays out in user values.

1. Competitive Dynamics and Networking Benefits

Is it better to operate in a business where the cost of acquiring a new user is low or high? Holding all else constant, the answer is obvious. A firm will maximize its value if can generate both high value per user and have a low cost of acquiring new users. That said, if everyone in the business shares these characteristics, one or another of these variables has to change. If the cost of acquiring new users is low for everyone, competition will drive down the value per new user, and if the value per user remains high, competition will drive up the cost of acquiring new users. The trade off is captured in the picture below:

User Value Proposition 4:  The exceptional firm will be the one that is able to find a pathway to high value per user and a low cost to adding a new user in a market, where its competitors struggle with either low value per user or high costs of acquiring users.
So how do the exceptional companies pull off this seeming impossible combination of high value per user and low cost per new user? I may be stretching, but it is at the heart of two terms that we see increasingly used in business, network benefits and big data.

• Network Benefits: If network benefits exist, the cost of acquiring new users will decrease as a company's presence in a market increases, reaching a tipping point where the biggest player will face much lower costs in acquiring new users than the competition, allowing it to capture the market and perhaps use its market dominance to increase the value of each user. In the case of Uber and ride sharing business, the argument for networking benefits is strong on a localized basis, since there are clearly advantages for both drivers and customers to shift to the dominant ride sharing company in any locality, the former because they will generate more income and the latter because they will get better service. The argument is much weaker on a global basis, though ride sharing companies are trying to create networking benefits by allying with airlines and credit care companies, and how this attempt plays out may well determine Uber's ultimate value.
• Big Data: While I remain a skeptic on the "big data" claims that every company seems to be making today, it is inarguable that there are companies that use big data to augment value. These companies collect data on their existing users/subscribers/customers and use that information to (a) customize existing products/services to meet user preferences, (b) create new products or services that meet perceived user needs and/or (c) for differential pricing. All of these increase user value by altering one or more of the inputs into the equation, with customization increasing user life and new products & differential the growth in revenues/user. In my view, the best users of big data (Netflix, Amazon, Google and Facebook) have used the data to increase their existing user value. Uber is still in the nascent stages, but its attempts at using data have expanded from surge pricing to differential pricing.

2. Revenue Models
In my version of user valuation, I look at revenues per user, drawing no distinction on how those revenues are derived. Broadly speaking, there are three revenue models that a user/subscriber based company can use, a subscription-based model where users or subscribers pay a subscription fee to continue to use the service or product, a transaction-based model where users or subscribers pay only when they use the service of product and an advertising-based model where users or subscribers get to use the product or service for free, but are targeted in advertising. Netflix operates on a subscription-based model, Uber is a transaction-based firm and Facebook generates its revenues from advertising. Some companies like LinkedIn have hybrid models, generating revenues from subscriptions (from premium members), transactions (from recruitments) and advertising.  There are other inputs into the valuation that will be affected by a company's revenue model and I have tried to capture them in the table below:

	Subscription	Transaction	Advertising
User Stickiness (User life & Renewal Probability)	High (High life & renewal probability)	Intermediate (Intermediate life & renewal probability)	Low (Low life & renewal probability)
Revenue per User Predictability (Discount rate)	High (Low Discount Rate)	Low Predictability (High Discount Rate)	Intermediate (Average Discount Rate)
Revenue per User Growth (Annual Growth Rate)	Low (Low growth rate in revenues/user)	Low (High growth rate in revenues/user)	Intermediate (Intermediate growth rate in revenues/user)
Growth rate in users (CAGR in # Users)	Low (Low CAGR in # users)	Intermediate (Intermediate CAGR in # users)	High (High CAGR in # users)
Cost of adding new users (Cost/New User)	High (High Cost/New User)	Intermediate (Middling Cost/New User)	Low (Low Cost/New User)

There is no one dominant revenue model, since each has its pluses and minuses. An advertising-based model will allow for much more rapid growth in a firm's early years, a subscription-based model will generate more sustainable growth and a transaction-based model has the greatest potential for revenue growth from existing users.
User Value Proposition 5:  The "optimal" revenue model may vary for a firm depending upon where it is in the life cycle and across firms depending on their product or service offerings and across investors, depending on whether they are focused on user growth, revenue growth or revenue sustainability.

3. Real Options
When valuing a company based upon its expected cash flows, there is a chance that you will under value the company, if it has control of a resource that could be used for other purposes in the future, even if that usage makes no economic sense today. That is why a technology or natural resource reserve that is not viable today can still have value, and this is the basis for the real option premium. In the context of a user-based business, optionality can become a component of value, to the extent that companies may be able to exploit their user bases to sell other products and services in the future. While the intuition of real options is simple, valuing real options is notoriously difficult and after much hand waving, most of us (including me) give up, but the user-based valuation model provides a framework to at least eke out some general propositions about optionality and value.

There should be no surprises in this picture, with the value of a real option in a user base tied to the inputs into an option pricing model.
User Value Proposition 6: The value of optionality from a user base will be greatest at firms with lots of sticky, intense users in businesses where the future is unpredictable because of changes in product/service technology and customer tastes. 

The Bottom Line
The most direct applications of a user or subscriber based model is in the valuation of companies like Uber, Facebook and Netflix. That said, more and more companies are seeing benefits in shifting from their traditional business models to user-based ones. Apple is a cash machine built around a smartphone but it is also accumulating information on more than a billion users of these phones, to whom it may be able to offer other products and services. Amazon started life as an online retail company but there is no denying the power of its seventy million Prime members in generating revenues for the company. I have used Microsoft and Adobe products for as long as they have been around, but with both companies, but my relationship with both companies has changed. I am now a subscriber (Office 365 and  Creative Cloud member) who pays annual fees, rather than a customer who buys and upgrades software on a discretionary basis. Understanding user economics and value is central to not only investors in these companies, when valuing and pricing them, but to managers of these companies, in their day-to-day business decisions. I will admit, without shame, that my knowledge of user-based companies is rudimentary and that my user-based model may be amateurish, in what it misses or mangles. That said, if you are an expert on user-based businesses, I hope that you can build on the model to make it more realistic and useful.

YouTube Video

Links

1. Crystal Ball (Simulation Add On for Excel)
2. My paper on dealing with uncertainty in valuation

Attachments

1. Uber User Valuation Spreadsheet
2. Uber User Value: Simulation Output

Blog Posts

1. Uber's Bad Week: Doomsday Scenario or Business Reset (June 2017)
2. User/Subscriber Economics: An Alternative View of Uber's Value