Inflation-Retail Letter B - AllianceBernstein

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Deflating InflationRedefining the Inflation-Resistant PortfolionWhat assets provide the bestdefense against inflation?nHow much and what type ofinflation protection should aninvestor seek?April 2010Investment Products Offered Are Not FDIC Insured May Lose Value Are Not Bank GuaranteednHow to assess the inflationarylandscape and when to implementan inflation protection strategy

Table of Contents1Key Research Conclusions2IntroductionInflation Protection Why Bother?5How to Hedge InflationWhat Assets Provide the Best Defense?18Getting RealIncorporating Inflation Protection in the Portfolio26Monitoring the Temperature of InflationWhen to Implement a Protection Strategy30AppendixFurther Details on How Different Assets Respond to Inflation

Key Research ConclusionsMost investment portfolios are not designed with inflation riskexplicitly in mind. As a result, many investors are often dangerously susceptible to an unexpected rise in inflation, which canpresent one of the most pernicious environments for traditionalportfolios. What’s worse, at the same time that many investors’assets are hit by an inflationary spike, their liabilities or livingcosts tend to rise. Such a double whammy can leave investors ina deep hole.There’s a good deal of confusion and disagreement about howbest to protect against inflation, both in terms of what assetshedge inflation most effectively and how to incorporate themin a portfolio. This paper provides a framework for analyzingthe inflation-hedging decision. Our research shows that:nWhile many different assets could potentially hedge againstinflation, their effectiveness varies, as do their reliability andtheir cost-effectiveness.nArbitrarily incorporating inflation hedges could markedly shiftthe otherwise carefully constructed risk/return profile of aportfolio. We found that a suite of real investments—whicheffectively serve as complements to one’s existing “nominal”asset allocation—provides the most efficient means ofhedging against inflation risk without detracting from theportfolio’s other goals.nFinally, because each investor’s liabilities and portfolioobjectives are different, there is no single inflation protectionformula that is “right” for all investors. The key factorsdriving the appropriate amount and type of inflation protection are the investor’s risk tolerance and overall vulnerabilityto adverse inflation surprises.Incorporating inflation protection will likely cost a little bit overtime (in terms of forgone returns), but in the event of anunexpected inflationary shock, it should provide valuableprotection by reducing the large loss in purchasing power that atraditional stock/bond mix is likelyto suffer. nDeflating Inflation: Redefining the Inflation-Resistant Portfolio1

IntroductionInflation Protection Why Bother?The recurring pattern in Display 1 gauges the devastationwrought by such episodes. The circled blue bars indicate allthe 10-year periods in the US from 1900 to the present whena hypothetical well-diversified portfolio—comprising 60% stocks(represented by the S&P 500) and 40% bonds (represented by10-year Treasuries)—generated negative inflation-adjusted (or“real”) returns. The green bars represent rolling 10-yearannualized rates of inflation, and the shaded gray areas at thetop designate inflation spikes—periods when there was a threepercentage-point increase (or more) in the rate of inflation overthe prior 10 years. The spikes in inflation coincide with thedecade-long collapses in real portfolio performance.Perhaps surprisingly, even during the Great Depression (thehighlighted deflationary era during the 1930s), investors faredbetter at generating positive inflation-adjusted returns than theydid during periods of escalating inflation. To be sure, portfoliovalues plummeted during the Depression, but so did prices foralmost everything else, leaving the real purchasing power of atraditional 60/40 portfolio (as defined above) relatively intact. Bycontrast, during the three inflationary periods over the last 100years, the real value of a diversified portfolio dropped sharply.2AllianceBernstein.comDisplay 1Inflation Spikes Decimate Traditional Stock/Bond PortfoliosInflation and Negative 60/40 Real ReturnsRolling 10-Year AnnualizedWWI SpikeWWII Spike1970s Spike10PercentPhilosopher and poet George Santayana famously remarked,“Those who cannot remember the past are condemned to repeatit.” While he almost certainly didn’t have inflation in mind whenhe made this assertion, investors should find the aphorism no lessrelevant. Indeed, although inflation shocks haven’t been adominant feature of the developed world landscape in nearly ageneration, the historical record warns us that when they havestruck, they’ve done so with terrible force, leaving ruined investment portfolios in their wake. Put simply, the history of inflationaryepisodes is a past that no investor should hope to repeat.50–5Deflation1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010InflationNegative 10-Year 60/40 Real ReturnsThis is a hypothetical example and is not representative of any AllianceBernsteinproduct. Individuals cannot invest directly in an index.The portfolio comprises 60% stocks and 40% bonds; stocks are represented by the S&P500 (with a Global Financial Data extension) and bonds by 10-year Treasuries.Inflation is measured by US CPI, US City Average, all items, not seasonally adjusted.Source: Global Financial Data (GFD), US Bureau of Labor Statistics (BLS), andAllianceBernsteinWhat’s more, the compounding effect of negative real returns,coupled with the fact that many investors need to tap theirportfolios to support their spending (which itself is typically linkedto inflation), can cause a massive loss in portfolio purchasingpower over time. For example, in the US by the early 1980s—when the 10-year rate of inflation reached 9%—a 60/40 portfoliowould have experienced a real return of –3.5% on an annualized

Display 2Inflation Causes Massive Decline in Real Portfolio 1%23%60/40 Stock/Bond Real Return*–3.5%–9.3%3.3%Decline in Real Portfolio Value (After Spending)–65%–86%–52%10-Year Inflation Rate*This is a hypothetical example and is not representative of any AllianceBernstein product. Individuals cannot invest directly in an index.*AnnualizedAssumes 60/40 stock/bond allocation, with 4% annual spending rate on initial portfolio value (spending grown with inflation). Inflation is represented by the respective inflationindices of the US, the UK, and Japan. Stocks in the US are represented by the S&P 500 Index; in the UK, by the FTSE All-Share Index; and in Japan, by the Nikko SecuritiesComposite. Bonds are represented by the 10-year government bond indices of the US, the UK, and Japan, respectively.Source: BLS, GFD, and AllianceBernsteinbasis (Display 2). Add in a typical spending rate of 4% a year fromthe portfolio, and almost two-thirds of an investor’s real wealthwould have vanished by the end of the decade.In Britain in the decade surrounding World War I, the same rateof spending, combined with inflation at 11%, resulted in evenworse portfolio performance: Nearly 90% of the investor’s realwealth would have been eaten away. The post–World War IIstory in Japan is similar: Even modestly positive portfolio realreturns failed to overcome the extreme rates of inflationendured during the early years of that decade, and real portfoliovalue declined by more than half. Simply put, traditionalstock/bond portfolios do not adequately defend against thecalamity of adverse inflation surprises and can leave investors ina deep hole.The Current Inflation FixationThe debate about the direction of future inflation and thedamage it can cause a portfolio has become increasinglyfraught of late. The massive fiscal and monetary expansions deployed in response to the global financial crisis have promptedmany investors to think about how vulnerable they are to aninflation shock and how to protect their portfolios. Many haverushed headlong into assets generally considered to be stronginflation antidotes, such as gold and inflation-protected bonds.Unfortunately, however, there’s little consensus and muchconfusion about how best to protect against inflation risk.It’s important to note that while many different assets couldpotentially provide some protection against inflation, their abilityto do so varies, as do their reliability and their prospective cost,particularly when measured in terms of the expected returnsthey provide compared with what they’re replacing in theportfolio. Also, arbitrarily incorporating one or more of theseassets could markedly shift the otherwise carefully constructedrisk profile of any portfolio. Finally, because investors’ liabilities,risk tolerance, and portfolio objectives differ, there’s little reasonto believe that a “one size fits all” inflation protection formulacould be devised that would be “right” for every single investor.Our goal here is to clear up some of the confusion surroundingthese issues. We aim to provide insight into the tools availableto protect against inflation risk and how an inflation-hedgingstrategy might be best implemented in light of one’s broaderinvestment objectives.Incorporating An Inflation Hedge in the PortfolioOne of the key insights emerging from our research is that it ispossible to build an effective suite of inflation hedges that canfit seamlessly into a traditional portfolio, without causing unduedistortion to its prior risk profile. Because many investors alreadyframe the essential building blocks of their asset allocationconstruction in terms of cash, bonds, and stocks, a parallelcomplement of inflation hedges makes holistic portfolio sense.In other words, we believe the same goals of any traditionalDeflating Inflation: Redefining the Inflation-Resistant Portfolio3

Display 3Real Investments Complement Traditional Counterparts“Traditional” vs. Inflation-Protected ed RealStocks AssetsCommodities,Real Estate, FX,Commodity-RelatedEquity ocationDiversified RealBonds BondsIntermediate-TermInflation-Linked BondsCash Real CashShort-TermInflation-Linked BondsInflation-ProtectedAllocationFor illustrative purposes onlySource: AllianceBernsteinallocation (in terms of balancing its risk and return objectives)can be achieved in a corresponding inflation-protected allocation (Display 3).We categorize these inflation hedges in three broad buckets:Real Cash, Real Bonds, and Real Assets. Lower-volatility RealCash and Real Bond portfolios are represented by short-termand longer-term inflation-linked bonds, respectively, while RealAsset portfolios encompass a variety of higher-risk inflationhedges (including real estate, commodity-related stocks,commodity futures, and foreign currency exposure).1 Thisapproach can readily be tailored to an investor’s existing riskappetite by simply introducing the appropriate amount ofinflation-protecting or “real” equivalents into the existing“traditional” allocation. But as we will detail in this study, sinceeach of these hedges has distinctive virtues and shortcomings,most investors will want to fine-tune their inflation-hedgingstrategy to reflect their own unique needs.The second major conclusion stemming from our research is thatadding inflation protection to a traditional asset allocation isunlikely to improve expected returns. Inflation protection doeshave a cost in terms of forgone returns. But, the protection it isdesigned to provide—reducing the loss in purchasing power thata traditional stock/bond mix would likely suffer—is valuableshould an inflationary shock occur.With this “hedging” perspective in mind, we detail in thefollowing pages a framework whereby investors can:nAssess which financial assets may most effectively protectagainst inflation, either alone or in combination;nDetermine the type and amount of inflation protectionneeded, as well as the least intrusive way to embed it in theportfolio; andnEvaluate the current inflationary landscape and determinewhen might be the right time to implement an inflationprotection strategy. nChapter HighlightsnMost investors need some form of inflation protection; the proper type and amount depend on their circumstances.nWhile inflation hedges will cost a little in performance on average, they will help protect the portfolio against thedevastation that inflation can bring.Note that the Real Assets category is also appropriate for investors with allocations to certain “alternative” investments. We see some illiquid real investments (such as direct realestate) as viable substitutes for liquid real investments (such as REITs) for investors willing to assume liquidity risk.14AllianceBernstein.com

How to Hedge InflationWhat Assets Provide the Best Defense?It’s not an easy matter to determine which assets provide thebest defense against inflation. In part, this is because long-termperformance records across different inflationary cycles do notexist for many asset classes.2 We’ve been able to overcomesome of these limitations by building our own, proprietaryhistorical data series for commodity returns, and by constructing a hypothetical return series for inflation-linked bondsstretching back more than a century (see sidebars on pages 8and 14). But even apart from the dearth of data available inconventional investment databases, we should expect mostinflation hedges to vary significantly in their effectiveness acrosstime and across different inflationary episodes. Therefore, tobuild an effective portfolio of inflation hedges, it’s critical tounderstand the key drivers of each asset and its fundamentalresponse to changes in inflation.We identified three key factors that help us determine theeffectiveness of any prospective inflation hedge:nIts sensitivity to inflationnIts reliability as a hedgenIts cost-effectivenessWe measure an asset’s inflation sensitivity by quantifying theaverage impact of an increase in the inflation rate on the asset’stotal return. We call this measure an asset’s “inflation beta.” Allelse equal, the higher an asset’s inflation beta, the stronger itsappeal as an inflation hedge. But in addition to its beta, weneed to consider the reliability of any prospective hedge, sincehaving a high inflation beta is of limited value if the protectivebenefit works only some of the time. Finally, inflation hedgescome with a cost (measured primarily by the expected returnsacrifice relative to a traditional investment with similar volatility). Minimizing that cost should be part of any sensible inflationhedging strategy.Inflation SensitivityThere are generally two opposing forces that drive an asset’ssensitivity to inflation, or inflation beta. On one hand, inflationcan have a positive impact on an asset’s value when rising pricesalso result in rising cash flows (Display 4, left, following page).For example, the revenues of many commodity-related companies “pass through” inflation relatively efficiently. To the extentthe costs such companies face react less strongly to an inflationsurprise, they should be able to pass those rising prices throughto the bottom line.But rising inflation also damages asset values because it is aproxy for rising inflation expectations, a key driver of thediscount rate used to gauge the present value of future cashflows. Higher discount rates cause the market to devalue anasset, because future cash flows are worth less in today’s money(Display 4, right, following page). The further out in time anyfixed cash flows extend, the greater the asset’s sensitivity toFor example, inflation-linked bonds are a recent innovation. In the US, Treasury Inflation-Protected Securities, or TIPS, were first offered in the late 1990s; inflation-indexed“Linkers” in the UK date back to the early 1980s.2Deflating Inflation: Redefining the Inflation-Resistant Portfolio5

Display 4Display 5Rising Inflation Has a Dual Impact on Asset ReturnsInflation Sensitivity Varies by Asset ClassAsset Class Inflation Betas1965–2009Positive ReturnImpact6.5Cash FlowRiseDiscount RateRiseNegative ReturnImpactFor illustrative purposes onlySource: AllianceBernsteindiscount rate fluctuations. It’s the net impact of these twophenomena—greater expected cash flows and higher discountrates—that determines an asset’s behavior in an environment ofrising inflation.Inflation sensitivity across a range of assets can vary significantly (Display 5).3 In the US, for example, for a given 1%increase in the inflation rate, 20-year nominal bonds fell 3.1times as much. Stocks, too, tend to be vulnerable to mostrising inflation environments: On average, the S&P 500historically dropped 2.4 times the rise in inflation, and thebroad equity indices of many other countries showed a similarsensitivity. This helps explain the dismal performance we sawin the traditional 60% stock/40% bond portfolio duringperiods of accelerating inflation. There are some assets,however, that have tended to post positive returns in a risinginflation environment, including T-bills, inflation-linked bonds,certain types of real estate, and commodities. But first let’sexplore equities a bit further, to see just what’s driving thesereturns. (For more information on how various assets mayreact to accelerating inflation rates, see the Appendix, pages30–35.)3Given0.3–3.10.81.7–2.420-Yr.S&P 500US Treasuries3-Mo. T-Bills 10-Yr. TIPS* Farmland† CommodityFutures‡Historical analysis is not a guarantee of future results. Individuals cannot invest directlyin an index.Total return beta to one-year inflation rate change in multivariate regressionincluding lagged inflation rate.*10-year Treasury Inflation-Protected Securities (TIPS) are calculated from syntheticAllianceBernstein real yields estimated from actual inflation and nominal yield curvevariables before 1999 and from Federal Reserve real yields thereafter.†Farmland is the national average value per acre as determined by the US Departmentof Agriculture (USDA).‡Commodity futures prior to 1990 are on a US consumption–weighted basis and aresourced from AllianceBernstein series prior to 1970 and from the MJK CommodityFutures Database between 1970 and 1990; they are represented by the Dow JonesUBS Commodity Futures Index (DJ-UBS) thereafter. All futures returns are fullycollateralized by T-bills unless otherwise indicated.Source: DJ-UBS, Federal Reserve, GFD, London Times, MJK Associates, TheNew York Times, USDA, The Wall Street Journal, and AllianceBernsteinTaking Stock of Equities in InflationStocks are often considered a relatively robust inflation hedge.But while it’s true that diversified equities can overcomeinflation over very long horizons, their record as a hedge againstaccelerating inflation over the short to medium term is poor.This comes as a surprise to many investors, who correctly pointout that as long as a company’s expenses (the largest component of which are usually “sticky” wages) don’t increase at thesame pace as its revenues, the wider profit margin will translateinto greater cash flows. In fact, S&P 500 data show that equityearnings do tend to grow faster—more than 6% faster thanaverage—in years when inflation accelerates (Display 6, left).the availability of data for multiple asset classes and the ability to confirm our conclusions across many different countries, we show results from 1965 to the present in manyof the displays that follow. Our longer-term US data were then used to corroborate these indications where applicable.6AllianceBernstein.com

So companies will see higher cash flows in such an inflationaryenvironment, but the market will generally apply a higherdiscount rate to those cash flows. Which effect dominatesvaluations: higher expected cash flows or the higher discountrate? According to the long-term history of the S&P 500 in theUS, in years when inflation accelerated, price/earnings multiplestended to drop, on average, by 1.4 points (Display 6, right).However, there are exceptions to this. For example, in extremelylow or negative inflationary environments, an increase ininflation expectations tends to coincide with an increase inequity prices, resulting in positive inflation betas. This anomalyoccurs because as inflation moves from abnormally low levelsback toward more normal levels, general economic uncertaintyfalls—and, with it, risk premia of all types.But most of the time, and for most stocks, the ability ofcompanies to pass through price increases is more than offsetby the negative influence of higher discount rates—which iswhy diversified equity indices in nearly every country we studiedhave a negative inflation beta. That said, some equity sectors,such as natural resources and real estate, have historicallyexhibited less-negative (or even positive) inflation betas thandiversified stocks. What these sectors tend to have in commonis high capital intensity: They have such high fixed costs thatwhen inflation accelerates, margin expansion often overwhelmsthe opposing discount rate impact.Seeking High Inflation Betas Across an Array of AssetsNominal bonds also perform poorly in rising inflation environments: Their future cash flows are fixed, so a rising discount rate(due to higher expected inflation) damages the current value ofthe bond. In general, the longer the bond’s maturity, all else equal,the more vulnerable it will be to changes in inflation expectations.Short-maturity bills perform better than their longer-maturitycounterparts during rising inflation, because the yields of new billswill discount higher inflation expectations when inflation spikes. Inother words, the shorter the maturity of nominal bonds, notes,and bills, the more quickly investors are able to reinvest in newinstruments that reflect any changes in inflation expectations.Inflation-linked bonds (“ILBs” for short), such as US TIPS and UK“Linkers,” are designed to simply pass through changes inconsumer or retail price indices, CPI and RPI, respectively. Asmeasured by our synthetic series, ILBs would have deliveredinflation betas of nearly 1.0 over time. The reason we estimatethe beta for ILBs at generally slightly below 1.0 is because a risein inflation sometimes dovetails with a rise in real interest rates,which damages the value of a fixed income investment.4 Ourresearch suggests that this was the case in the US during thelate 1970s and early 1980s, a time of both heightened concernover the country’s monetary stability and, in response, tightening central bank policy. We estimate that during this period, thefall in the price of inflation-linked bonds due to higher realDisplay 6Rising Inflation Leads to Higher Earnings but a Higher Discount Rate Hurts ValuationsS&P 500 Earnings per Share Growth vs. AverageS&P 500 Price/Earnings Change6.2%2.5 –1.4 –5.9%DeceleratingInflation YearsAcceleratingInflation YearsDeceleratingInflation YearsAcceleratingInflation YearsHistorical analysis is not a guarantee of future results. Individuals cannot invest directly in an index.Average year-over-year growth, 1930–2008Source: Robert J. Shiller, Irrational Exuberance, Princeton University Press, 2000; and AllianceBernsteinAlso, inflation-linked bonds in most countries have a short contractual lag in passing through actual inflation, which could further weaken the measured inflation beta.4Deflating Inflation: Redefining the Inflation-Resistant Portfolio7

Re-Creating the History of Inflation-Linked BondsAlthough inflation-linked bonds (ILBs) form a crucialcomponent of most inflation protection strategies, thehistorical record necessary to judge how ILBs may behave indisparate economic environments does not exist. The UnitedKingdom was the first to issue such bonds—called Linkers—in the early 1980s, followed by Sweden, Canada, andAustralia; eventually the US issued Treasury InflationProtected Securities—TIPS—in the late 1990s. Becauseinflation has been comparatively stable during this relativelybrief period, we decided to construct a synthetic ILB returnseries extending back to the 1890s* to gain better perspective on how these instruments might have performed indifferent inflationary environments.The key to creating a synthetic ILB series is to understandhow inflation expectations are formed. Nominal governmentbond yields can be decomposed into a real yield, expectedinflation, and an inflation risk premium earned for bearingthe uncertainty around whether actual inflation will meetexpectations. If inflation expectations are known, then thereal yields that ILBs offer can be estimated by subtractinginflation expectations and the estimated inflation riskpremium from nominal yields. Fortunately, because inflationexpectations are a function of historical experience—likemost expectations, they are largely backward-looking—theycan be reliably estimated historically.US Inflation ExpectationsUK Real YieldsUS Model Estimates of Survey Inflation ForecastsUS Model Estimates of UK Real YieldsOne-Year US CPI Forecasts10-Year Linker Forecast32EstimatedReal Yield101970ActualReal Yield01980199020002010Historical analysis is not a guarantee of future results. Estimate based on actual USinflation and yield curve variables.Source: Federal Reserve and AllianceBernstein1989199419992004Historical analysis is not a guarantee of future results. Estimate based on actualUK inflation and yield curve variables.Source: Bank of England, Federal Reserve, and AllianceBernstein*Due to the paucity of reliable long-term non–US capital markets data, our analysis throughout takes a largely US investor perspective. Where possible, we haveconducted analyses from different country perspectives. The conclusions herein should be relevant to most countries around the globe.8AllianceBernstein.com2009

The display on the left of the facing page shows howaccurately one-year consensus inflation expectations can beestimated with nothing but backward-looking knowledge ofactual inflation. The blue line shows surveyed consensusexpectations, while the green line shows an estimate ofexpectations based on weightings to various measures ofactual trailing inflation. Because actual inflation data can besourced going back to the 1800s, we can estimate whereexpectations likely were at any point in time, and, with that,where real yields were.† To gauge the validity of thisapproach, we applied our US-based weightings to UK dataand compared the resulting estimates of UK real yields toactual UK real yields, as shown in the display on the right ofthe facing page. The close fit suggested that our syntheticreal yield series was robust enough to calculate ILB returnsfor implementation in our asset allocation work.In addition, using this much longer, synthetically constructed time series of inflation expectations, we were ableto explore a number of long-unsolved investment questions—such as whether expectations drive actual inflation.We found that the impact of inflation expectations onactual inflation likely varied with the level of inflation.Anecdotal evidence from Japan suggests that consumersput off purchases when there are expectations of futuredeflation, resulting in a weaker economy and a selffulfilling prophecy of more deflation. Our research on USinflation indicates that in high-inflation environments (CPIgreater than 5%), the pass-through of inflation expectations to actual inflation is twice as large as it is in lowinflation environments (CPI between 0% and 5%). n†A structural break in how inflation expectations in the US were set occurredbetween World War II and the 1970s with the transition away from a goldstandard. Including various nominal yield curve variables allowed us to adjust forthis break and extend our series back to the gold standard era.interest rates would likely have offset some of the positivebenefits of the contractual inflation accrual, thereby diminishingreturns. The relationship between inflation and real yields istherefore a key question in determining the efficacy of inflationprotected bonds as an inflation hedge. Although inflationprotected bonds could produce negative returns in the event ofa large spike in both real yields and inflation, they would stilloutperform traditional bonds, which would do even worse. (Formore on inflation-linked bonds, see the Appendix, pages 31–32.)Some investments—what we term “real assets”—haveempirical and expected inflation betas greater than 1.0. Forexample, some real estate assets throw off cash flows tightlylinked to inflation and so tend to have high inflation betas.5 Thecash-flow sensitivity of real estate stems from both the proportion of value tied up in land (i.e., the proportion of costs thatare fixed) and the sensitivity of “rents” to inflation. Generallyspeaking, the higher the proportion of land in a real estateasset’s value, the higher its inflation beta. And for most types ofresidential and commercial properties, rents take the form offixed lease payments—so in general, the shorter the lease term,the greater the inflation sensitivity. Agricultural properties suchas farmland also serve as good inflation hedges because their“rents” (in the form of farm product and timber prices) varydirectly with inflation-sensitive agricultural commodity prices.The investment that ranks best by far in terms of inflation beta iscommodity futures. A broadly diversified basket of commodityfutures exhibited an inflation beta of 6.5 from 1965 to thepresent. (This is from a US investor’s point of view; it would differfrom the perspective of investors in other countries. See theAppendix, pages 33–34, for more information.) That’s becausecommodity futures returns tend to embed a high sensitivity toshorter-term supply-and-demand economics. An overheatingeconomy often goes hand in hand with both rising inflation andprice and inventory pressures in the commodities markets,leading to higher futures returns. Som

"real") returns. The green bars represent rolling 10-year annualized rates of inflation, and the shaded gray areas at the top designate inflation spikes—periods when there was a three-percentage-point increase (or more) in the rate of inflation over the prior 10 years. The spikes in inflation coincide with the

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