Warren Buffett on Volatility vs Risk

29 INDEXED REFERENCES1987–20215 SHOWN FREE

Why price movement is not the same as permanent loss.

SELECTED REFERENCES

2021 · Berkshire Hathaway Inc.

2021 Letter to Shareholders

Periodically, as alternative paths become unattractive, repurchases make good sense for Berkshire’s owners. During the past two years, we therefore repurchased 9% of the shares that were outstanding at yearend 2019 for a total cost of $51.7 billion. That expenditure left our continuing shareholders owning about 10% more of all Berkshire businesses, whether these are wholly-owned (such as BNSF and GEICO) or partly-owned (such as Coca-Cola and Moody’s). I want to underscore that for Berkshire repurchases to make sense, our shares must offer appropriate value. We don’t want to overpay for the shares of other companies, and it would be value-destroying if we were to overpay when we are buying Berkshire. As of February 23, 2022, since yearend we repurchased additional shares at a cost of $1.2 billion. Our appetite remains large but will always remain price-dependent. It should be noted that Berkshire’s buyback opportunities are limited because of its high-class investor base. If our shares were heavily held by short-term speculators, both price volatility and transaction volumes would materially increase. That kind of reshaping would offer us far greater opportunities for creating value by making repurchases. Nevertheless, Charlie and I far prefer the owners we have, even though their admirable buy-and-keep attitudes limit the extent to which long-term shareholders can profit from opportunistic repurchases.

2018 · Berkshire Hathaway Inc.

2018 Letter to Shareholders

Wide swings in our quarterly GAAP earnings will inevitably continue. That’s because our huge equity portfolio – valued at nearly $173 billion at the end of 2018 – will often experience one-day price fluctuations of $2 billion or more, all of which the new rule says must be dropped immediately to our bottom line. Indeed, in the fourth quarter, a period of high volatility in stock prices, we experienced several days with a “profit” or “loss” of more than $4 billion. Our advice? Focus on operating earnings, paying little attention to gains or losses of any variety. My saying that in no way diminishes the importance of our investments to Berkshire. Over time, Charlie and I expect them to deliver substantial gains, albeit with highly irregular timing. * * * * * * * * * * * * Long-time readers of our annual reports will have spotted the different way in which I opened this letter. For nearly three decades, the initial paragraph featured the percentage change in Berkshire’s per-share book value. It’s now time to abandon that practice. The fact is that the annual change in Berkshire’s book value – which makes its farewell appearance on page 2 – is a metric that has lost the relevance it once had. Three circumstances have made that so. First, Berkshire has gradually morphed from a company whose assets are concentrated in marketable stocks into one whose major value resides in operating businesses. Charlie and I expect that reshaping to continue in an irregular manner.

2017 · Berkshire Hathaway Inc.

2017 Letter to Shareholders

If a poll of investment “experts” had been asked late in 2007 for a forecast of long-term common-stock returns, their guesses would have likely averaged close to the 8.5% actually delivered by the S&P 500. Making money in that environment should have been easy. Indeed, Wall Street “helpers” earned staggering sums. While this group prospered, however, many of their investors experienced a lost decade. Performance comes, performance goes. Fees never falter. * * * * * * * * * * * * The bet illuminated another important investment lesson: Though markets are generally rational, they occasionally do crazy things. Seizing the opportunities then offered does not require great intelligence, a degree in economics or a familiarity with Wall Street jargon such as alpha and beta. What investors then need instead is an ability to both disregard mob fears or enthusiasms and to focus on a few simple fundamentals. A willingness to look unimaginative for a sustained period – or even to look foolish – is also essential. Originally, Protégé and I each funded our portion of the ultimate $1 million prize by purchasing $500,000 face amount of zero-coupon U.S. Treasury bonds (sometimes called “strips”). These bonds cost each of us $318,250 – a bit less than 64¢ on the dollar – with the $500,000 payable in ten years. As the name implies, the bonds we acquired paid no interest, but (because of the discount at which they were purchased) delivered a 4.56% annual return if held to maturity.

2014 · Berkshire Hathaway Inc.

2014 Letter to Shareholders

That decrease means that it now takes $1 to buy what could be bought for 13¢ in 1965 (as measured by the Consumer Price Index). There is an important message for investors in that disparate performance between stocks and dollars. Think back to our 2011 annual report, in which we defined investing as “the transfer to others of purchasing power now with the reasoned expectation of receiving more purchasing power – after taxes have been paid on nominal gains – in the future.” The unconventional, but inescapable, conclusion to be drawn from the past fifty years is that it has been far safer to invest in a diversified collection of American businesses than to invest in securities – Treasuries, for example – whose values have been tied to American currency. That was also true in the preceding half-century, a period including the Great Depression and two world wars. Investors should heed this history. To one degree or another it is almost certain to be repeated during the next century. Stock prices will always be far more volatile than cash-equivalent holdings. Over the long term, however, currency-denominated instruments are riskier investments – far riskier investments – than widely-diversified stock portfolios that are bought over time and that are owned in a manner invoking only token fees and commissions. That lesson has not customarily been taught in business schools, where volatility is almost universally used as a proxy for risk.

2014 · Berkshire Hathaway Inc.

2014 Letter to Shareholders

Though this pedagogic assumption makes for easy teaching, it is dead wrong: Volatility is far from synonymous with risk. Popular formulas that equate the two terms lead students, investors and CEOs astray. It is true, of course, that owning equities for a day or a week or a year is far riskier (in both nominal and purchasing-power terms) than leaving funds in cash-equivalents. That is relevant to certain investors – say, investment banks – whose viability can be threatened by declines in asset prices and which might be forced to sell securities during depressed markets. Additionally, any party that might have meaningful near-term needs for funds should keep appropriate sums in Treasuries or insured bank deposits. For the great majority of investors, however, who can – and should – invest with a multi-decade horizon, quotational declines are unimportant. Their focus should remain fixed on attaining significant gains in purchasing power over their investing lifetime. For them, a diversified equity portfolio, bought over time, will prove far less risky than dollar-based securities.

2014 · Berkshire Hathaway Inc.

2014 Letter to Shareholders

If the investor, instead, fears price volatility, erroneously viewing it as a measure of risk, he may, ironically, end up doing some very risky things. Recall, if you will, the pundits who six years ago bemoaned falling stock prices and advised investing in “safe” Treasury bills or bank certificates of deposit. People who heeded this sermon are now earning a pittance on sums they had previously expected would finance a pleasant retirement. (The S&P 500 was then below 700; now it is about 2,100.) If not for their fear of meaningless price volatility, these investors could have assured themselves of a good income for life by simply buying a very low-cost index fund whose dividends would trend upward over the years and whose principal would grow as well (with many ups and downs, to be sure). Investors, of course, can, by their own behavior, make stock ownership highly risky. And many do. Active trading, attempts to “time” market movements, inadequate diversification, the payment of high and unnecessary fees to managers and advisors, and the use of borrowed money can destroy the decent returns that a life-long owner of equities would otherwise enjoy. Indeed, borrowed money has no place in the investor’s tool kit: Anything can happen anytime in markets. And no advisor, economist, or TV commentator – and definitely not Charlie nor I – can tell you when chaos will occur. Market forecasters will fill your ear but will never fill your wallet.

2011 · Berkshire Hathaway Inc.

2011 Letter to Shareholders

More succinctly, investing is forgoing consumption now in order to have the ability to consume more at a later date. From our definition there flows an important corollary: The riskiness of an investment is not measured by beta (a Wall Street term encompassing volatility and often used in measuring risk) but rather by the probability – the reasoned probability – of that investment causing its owner a loss of purchasing-power over his contemplated holding period. Assets can fluctuate greatly in price and not be risky as long as they are reasonably certain to deliver increased purchasing power over their holding period. And as we will see, a non-fluctuating asset can be laden with risk. Investment possibilities are both many and varied. There are three major categories, however, and it’s important to understand the characteristics of each. So let’s survey the field. • Investments that are denominated in a given currency include money-market funds, bonds, mortgages, bank deposits, and other instruments. Most of these currency-based investments are thought of as “safe.” In truth they are among the most dangerous of assets. Their beta may be zero, but their risk is huge. Over the past century these instruments have destroyed the purchasing power of investors in many countries, even as the holders continued to receive timely payments of interest and principal. This ugly result, moreover, will forever recur.

2010 · Berkshire Hathaway Inc.

2010 Letter to Shareholders

In the 2004 Annual Report, I detailed his record with equities, and I have omitted updates only because his performance made mine look bad. Who needs that? Lou has never been one to advertise his talents. But I will: Simply put, Lou is one of the investment greats. We will miss him. * * * * * * * * * * * * Four years ago, I told you that we needed to add one or more younger investment managers to carry on when Charlie, Lou and I weren’t around. At that time we had multiple outstanding candidates immediately available for my CEO job (as we do now), but we did not have backup in the investment area. It’s easy to identify many investment managers with great recent records. But past results, though important, do not suffice when prospective performance is being judged. How the record has been achieved is crucial, as is the manager’s understanding of – and sensitivity to – risk (which in no way should be measured by beta, the choice of too many academics). In respect to the risk criterion, we were looking for someone with a hard-to-evaluate skill: the ability to anticipate the effects of economic scenarios not previously observed. Finally, we wanted someone who would regard working for Berkshire as far more than a job.

2008 · Berkshire Hathaway Inc.

2008 Letter to Shareholders

But this difference can produce some strange results. The bonds covered – in effect, insured – by these derivatives are largely general obligations of states, and we feel good about them. At yearend, however, mark-to-market accounting required us to record a loss of $631 million on these derivatives contracts. Had we instead insured the same bonds at the same price in BHAC, and used the accrual accounting required at insurance companies, we would have recorded a small profit for the year. The two methods by which we insure the bonds will eventually produce the same accounting result. In the short term, however, the variance in reported profits can be substantial. We have told you before that our derivative contracts, subject as they are to mark-to-market accounting, will produce wild swings in the earnings we report. The ups and downs neither cheer nor bother Charlie and me. Indeed, the “downs” can be helpful in that they give us an opportunity to expand a position on favorable terms. I hope this explanation of our dealings will lead you to think similarly. * * * * * * * * * * * * The Black-Scholes formula has approached the status of holy writ in finance, and we use it when valuing our equity put options for financial statement purposes. Key inputs to the calculation include a contract’s maturity and strike price, as well as the analyst’s expectations for volatility, interest rates and dividends.

2008 · Berkshire Hathaway Inc.

2008 Letter to Shareholders

If the formula is applied to extended time periods, however, it can produce absurd results. In fairness, Black and Scholes almost certainly understood this point well. But their devoted followers may be ignoring whatever caveats the two men attached when they first unveiled the formula. It’s often useful in testing a theory to push it to extremes. So let’s postulate that we sell a 100- year $1 billion put option on the S&P 500 at a strike price of 903 (the index’s level on 12/31/08). Using the implied volatility assumption for long-dated contracts that we do, and combining that with appropriate interest and dividend assumptions, we would find the “proper” Black-Scholes premium for this contract to be $2.5 million. To judge the rationality of that premium, we need to assess whether the S&P will be valued a century from now at less than today. Certainly the dollar will then be worth a small fraction of its present value (at only 2% inflation it will be worth roughly 14¢). So that will be a factor pushing the stated value of the index higher. Far more important, however, is that one hundred years of retained earnings will hugely increase the value of most of the companies in the index. In the 20 th Century, the Dow-Jones Industrial Average increased by about 175-fold, mainly because of this retained-earnings factor. Considering everything, I believe the probability of a decline in the index over a one-hundred-year period to be far less than 1%.

2008 · Berkshire Hathaway Inc.

2008 Letter to Shareholders

The ridiculous premium that Black-Scholes dictates in my extreme example is caused by the inclusion of volatility in the formula and by the fact that volatility is determined by how much stocks have moved around in some past period of days, months or years. This metric is simply irrelevant in estimating the probability- weighted range of values of American business 100 years from now. (Imagine, if you will, getting a quote every day on a farm from a manic-depressive neighbor and then using the volatility calculated from these changing quotes as an important ingredient in an equation that predicts a probability-weighted range of values for the farm a century from now.) Though historical volatility is a useful – but far from foolproof – concept in valuing short-term options, its utility diminishes rapidly as the duration of the option lengthens. In my opinion, the valuations that the Black- Scholes formula now place on our long-term put options overstate our liability, though the overstatement will diminish as the contracts approach maturity. Even so, we will continue to use Black-Scholes when we are estimating our financial-statement liability for long-term equity puts. The formula represents conventional wisdom and any substitute that I might offer would engender extreme skepticism. That would be perfectly understandable: CEOs who have concocted their own valuations for esoteric financial instruments have seldom erred on the side of conservatism.

2007 · Berkshire Hathaway Inc.

2007 Letter to Shareholders

In that portfolio, changes in value are applied to the net worth shown on Berkshire’s balance sheet, but do not affect earnings unless we sell (or write down) a holding. Changes in the value of a derivative contract, however, must be applied each quarter to earnings. Thus, our derivative positions will sometimes cause large swings in reported earnings, even though Charlie and I might believe the intrinsic value of these positions has changed little. He and I will not be bothered by these swings – even though they could easily amount to $1 billion or more in a quarter – and we hope you won’t be either. You will recall that in our catastrophe insurance business, we are always ready to trade increased volatility in reported earnings in the short run for greater gains in net worth in the long run. That is our philosophy in derivatives as well. * * * * * * * * * * * * The U.S. dollar weakened further in 2007 against major currencies, and it’s no mystery why: Americans like buying products made elsewhere more than the rest of the world likes buying products made in the U.S. Inevitably, that causes America to ship about $2 billion of IOUs and assets daily to the rest of the world. And over time, that puts pressure on the dollar.

1996 · Berkshire Hathaway Inc.

1996 Letter to Shareholders

In our super-cat operation, our customers are insurers that are exposed to major earnings volatility and that wish to reduce it. The product we sell - for what we hope is an appropriate price - is our willingness to shift that volatility to our own books. Gyrations in Berkshire's earnings don't bother us in the least: Charlie and I would much rather earn a lumpy 15% over time than a smooth 12%. (After all, our earnings swing wildly on a daily and weekly basis - why should we demand that smoothness accompany each orbit that the earth makes of the sun?) We are most comfortable with that thinking, however, when we have shareholder/partners who can also accept volatility, and that's why we regularly repeat our cautions.

1996 · Berkshire Hathaway Inc.

1996 Letter to Shareholders

We took on some major super-cat exposures during 1996. At mid-year we wrote a contract with Allstate that covers Florida hurricanes, and though there are no definitive records that would allow us to prove this point, we believe that to have then been the largest single catastrophe risk ever assumed by one company for its own account. Later in the year, however, we wrote a policy for the California Earthquake Authority that goes into effect on April 1, 1997, and that exposes us to a loss more than twice that possible under the Florida contract. Again we retained all the risk for our own account. Large as these coverages are, Berkshire's after-tax "worst-case" loss from a true mega-catastrophe is probably no more than $600 million, which is less than 3% of our book value and 1.5% of our market value. To gain some perspective on this exposure, look at the table on page 2 and note the much greater volatility that security markets have delivered us.

1996 · Berkshire Hathaway Inc.

1996 Letter to Shareholders

To invest successfully, you need not understand beta, efficient markets, modern portfolio theory, option pricing or emerging markets. You may, in fact, be better off knowing nothing of these. That, of course, is not the prevailing view at most business schools, whose finance curriculum tends to be dominated by such subjects. In our view, though, investment students need only two well-taught courses - How to Value a Business, and How to Think About Market Prices.

1995 · Berkshire Hathaway Inc.

1995 Letter to Shareholders

That kind of market overperformance cannot persist indefinitely, neither for Berkshire nor any other stock. Inevitably, there will be periods of underperformance as well. The price volatility that results, though endemic to public markets, is not to our liking. What we would prefer instead is to have the market price of Berkshire precisely track its intrinsic value. Were the stock to do that, every shareholder would benefit during his period of ownership in exact proportion to the progress Berkshire itself made in the period.

1994 · Berkshire Hathaway Inc.

1994 Letter to Shareholders

By writing coverages in large lumps, we obviously expose Berkshire to lumpy financial results. That's totally acceptable to us: Too often, insurers (as well as other businesses) follow sub- optimum strategies in order to "smooth" their reported earnings. By accepting the prospect of volatility, we expect to earn higher long-term returns than we would by pursuing predictability.

1993 · Berkshire Hathaway Inc.

1993 Letter to Shareholders

Academics, however, like to define investment "risk" differently, averring that it is the relative volatility of a stock or portfolio of stocks - that is, their volatility as compared to that of a large universe of stocks. Employing data bases and statistical skills, these academics compute with precision the "beta" of a stock - its relative volatility in the past - and then build arcane investment and capital-allocation theories around this calculation. In their hunger for a single statistic to measure risk, however, they forget a fundamental principle: It is better to be approximately right than precisely wrong.

1993 · Berkshire Hathaway Inc.

1993 Letter to Shareholders

For owners of a business - and that's the way we think of shareholders - the academics' definition of risk is far off the mark, so much so that it produces absurdities. For example, under beta-based theory, a stock that has dropped very sharply compared to the market - as had Washington Post when we bought it in 1973 - becomes "riskier" at the lower price than it was at the higher price. Would that description have then made any sense to someone who was offered the entire company at a vastly-reduced price?

1993 · Berkshire Hathaway Inc.

1993 Letter to Shareholders

In fact, the true investor welcomes volatility. Ben Graham explained why in Chapter 8 of The Intelligent Investor. There he introduced "Mr. Market," an obliging fellow who shows up every day to either buy from you or sell to you, whichever you wish. The more manic-depressive this chap is, the greater the opportunities available to the investor. That's true because a wildly fluctuating market means that irrationally low prices will periodically be attached to solid businesses. It is impossible to see how the availability of such prices can be thought of as increasing the hazards for an investor who is totally free to either ignore the market or exploit its folly.

1993 · Berkshire Hathaway Inc.

1993 Letter to Shareholders

In assessing risk, a beta purist will disdain examining what a company produces, what its competitors are doing, or how much borrowed money the business employs. He may even prefer not to know the company's name. What he treasures is the price history of its stock. In contrast, we'll happily forgo knowing the price history and instead will seek whatever information will further our understanding of the company's business. After we buy a stock, consequently, we would not be disturbed if markets closed for a year or two. We don't need a daily quote on our 100% position in See's or H. H. Brown to validate our well-being. Why, then, should we need a quote on our 7% interest in Coke?

1993 · Berkshire Hathaway Inc.

1993 Letter to Shareholders

The competitive strengths of a Coke or Gillette are obvious to even the casual observer of business. Yet the beta of their stocks is similar to that of a great many run-of-the-mill companies who possess little or no competitive advantage. Should we conclude from this similarity that the competitive strength of Coke and Gillette gains them nothing when business risk is being measured? Or should we conclude that the risk in owning a piece of a company - its stock - is somehow divorced from the long-term risk inherent in its business operations? We believe neither conclusion makes sense and that equating beta with investment risk also makes no sense.

1993 · Berkshire Hathaway Inc.

1993 Letter to Shareholders

The theoretician bred on beta has no mechanism for differentiating the risk inherent in, say, a single-product toy company selling pet rocks or hula hoops from that of another toy company whose sole product is Monopoly or Barbie. But it's quite possible for ordinary investors to make such distinctions if they have a reasonable understanding of consumer behavior and the factors that create long-term competitive strength or weakness. Obviously, every investor will make mistakes. But by confining himself to a relatively few, easy-to-understand cases, a reasonably intelligent, informed and diligent person can judge investment risks with a useful degree of accuracy.

1992 · Berkshire Hathaway Inc.

1992 Letter to Shareholders

We will continue to experience considerable volatility in our annual results. That's assured by the general volatility of the stock market, by the concentration of our equity holdings in just a few companies, and by certain business decisions we have made, most especially our move to commit large resources to super-catastrophe insurance. We not only accept this volatility but welcome it: A tolerance for short-term swings improves our long-term prospects. In baseball lingo, our performance yardstick is slugging percentage, not batting average.

1992 · Berkshire Hathaway Inc.

1992 Letter to Shareholders

The investment shown by the discounted-flows-of-cash calculation to be the cheapest is the one that the investor should purchase - irrespective of whether the business grows or doesn't, displays volatility or smoothness in its earnings, or carries a high price or low in relation to its current earnings and book value. Moreover, though the value equation has usually shown equities to be cheaper than bonds, that result is not inevitable: When bonds are calculated to be the more attractive investment, they should be bought.

1990 · Berkshire Hathaway Inc.

1990 Letter to Shareholders

We prefer such steadiness to the value-ignoring volatility of the past two years: In 1989 intrinsic value grew less than did book value, which was up 44%, while the market price rose 85%; in 1990 book value and intrinsic value increased by a small amount, while the market price fell 23%. Berkshire's intrinsic value continues to exceed book value by a substantial margin. We can't tell you the exact differential because intrinsic value is necessarily an estimate; Charlie and I might, in fact, differ by 10% in our appraisals. We do know, however, that we own some exceptional businesses that are worth considerably more than the values at which they are carried on our books. Much of the extra value that exists in our businesses has been created by the managers now running them. Charlie and I feel free to brag about this group because we had nothing to do with developing the skills they possess: These superstars just came that way. Our job is merely to identify talented managers and provide an environment in which they can do their stuff. Having done it, they send their cash to headquarters and we face our only other task: the intelligent deployment of these funds. My own role in operations may best be illustrated by a small tale concerning my granddaughter, Emily, and her fourth birthday party last fall. Attending were other children, adoring relatives, and Beemer the Clown, a local entertainer who includes magic tricks in his act.

1990 · Berkshire Hathaway Inc.

1990 Letter to Shareholders

In the next section of this report we will give you a framework for evaluating insurance results. From that discussion, you will gain an understanding of why I am so enthusiastic about the performance of our insurance manager, Mike Goldberg, and his cadre of stars, Rod Eldred, Dinos Iordanou, Ajit Jain, and Don Wurster. In assessing our insurance results over the next few years, you should be aware of one type of business we are pursuing that could cause them to be unusually volatile. If this line of business expands, as it may, our underwriting experience will deviate from the trendline you might expect: In most years we will somewhat exceed expectations and in an occasional year we will fall far below them. The volatility I predict reflects the fact that we have become a large seller of insurance against truly major catastrophes ("super-cats"), which could for example be hurricanes, windstorms or earthquakes. The buyers of these policies are reinsurance companies that themselves are in the business of writing catastrophe coverage for primary insurers and that wish to "lay off," or rid themselves, of part of their exposure to catastrophes of special severity. Because the need for these buyers to collect on such a policy will only arise at times of extreme stress - perhaps even chaos - in the insurance business, they seek financially strong sellers. And here we have a major competitive advantage: In the industry, our strength is unmatched.

1990 · Berkshire Hathaway Inc.

1990 Letter to Shareholders

In addition, most corporate managements believe that their shareholders dislike volatility in results. We can take a different tack: Our business in primary property insurance is small and we believe that Berkshire shareholders, if properly informed, can handle unusual volatility in profits so long as the swings carry with them the prospect of superior long-term results. (Charlie and I always have preferred a lumpy 15% return to a smooth 12%.) We want to emphasize three points: (1) While we expect our super-cat business to produce satisfactory results over, say, a decade, we're sure it will produce absolutely terrible results in at least an occasional year; (2) Our expectations can be based on little more than subjective judgments - for this kind of insurance, historical loss data are of very limited value to us as we decide what rates to charge today; and (3) Though we expect to write significant quantities of super-cat business, we will do so only at prices we believe to be commensurate with risk. If competitors become optimistic, our volume will fall. This insurance has, in fact, tended in recent years to be woefully underpriced; most sellers have left the field on stretchers. At the moment, we believe Berkshire to be the largest U.S. writer of super-cat business. So when a major quake occurs in an urban area or a winter storm rages across Europe, light a candle for us.

1987 · Berkshire Hathaway Inc.

1987 Letter to Shareholders

Many commentators, however, have drawn an incorrect conclusion upon observing recent events: They are fond of saying that the small investor has no chance in a market now dominated by the erratic behavior of the big boys. This conclusion is dead wrong: Such markets are ideal for any investor - small or large - so long as he sticks to his investment knitting. Volatility caused by money managers who speculate irrationally with huge sums will offer the true investor more chances to make intelligent investment moves. He can be hurt by such volatility only if he is forced, by either financial or psychological pressures, to sell at untoward times.

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