Special Report
Highlights We update our long-range forecasts of returns from a range of asset classes – equities, bonds, alternatives, and currencies – and make some refinements to the methodologies we used in our last report in November 2017. We add coverage of U.K., Australian, and Canadian assets, and include Emerging Markets debt, gold, and global Real Estate in our analysis for the first time. Generally, our forecasts are slightly higher than 18 months ago: we expect an annual return in nominal terms over the next 10-year years of 1.7% from global bonds, and 5.9% from global equities – up from 1.5% and 4.6% respectively in the last edition. Cheaper valuations in a number of equity markets, especially Japan, the euro zone, and Emerging Markets explain the higher return assumptions. Nonetheless, a balanced global portfolio is likely to return only 4.7% a year in the long run, compared to 6.3% over the past 20 years. That is lower than many investors are banking on. Feature Since we published our first attempt at projecting long-term returns for a range of asset classes in November 2017, clients have shown enormous interest in this work. They have also made numerous suggestions on how we could improve our methodologies and asked us to include additional asset classes. This Special Report updates the data, refines some of our assumptions, and adds coverage of U.K., Australian, and Canadian assets, as well as gold, global Real Estate, and global REITs. Our basic philosophy has not changed. Many of the methodologies are carried over from the November 2017 edition, and clients interested in more detailed explanations should also refer to that report.1 Our forecast time horizon is 10-15 years. We deliberately keep this vague, and avoid trying to forecast over a 3-7 year time horizon, as is common in many capital market assumptions reports. The reason is that we want to avoid predicting the timing and gravity of the next recession, but rather aim to forecast long-term trend growth irrespective of cycles. This type of analysis is, by nature, as much art as science. We start from the basis that historical returns, at least those from the past 10 or 20 years, are not very useful. Asset allocators should not use historical returns data in mean variance optimizers and other portfolio-construction models. For example, over the past 20 years global bonds have returned 5.3% a year. With many long-term government bonds currently yielding zero or less, it is mathematically almost impossible that returns will be this high over the coming decade or so. Our analysis points to a likely annual return from global bonds of only 1.7%. Our approach is based on building-blocks. There are some factors we know with a high degree of certainly: such as the return on U.S. 10-year Treasury yields over the next 10 years (to all intents and purposes, it is the current yield). Many fundamental drivers of return (credit spreads, the small-cap premium, the shape of the yield curve, profit margins, stock price multiples etc.) are either steady on average over the cycle, or mean revert. For less certain factors, such as economic growth, inflation, or equilibrium short-term interest rates, we can make sensible assumptions. Most of the analysis in this report is based on the 20-year history of these factors. We used 20 years because data is available for almost all the asset classes we cover for this length of time (there are some exceptions, for example corporate bond data for Australia and Emerging Markets go back only to 2004-5, and global REITs start only in 2008). The period from May 1999 to April 2019 is also reasonable since it covers two recessions and two expansions, and started at a point in the cycle that is arguably similar to where we are today. Some will argue that it includes the Technology bubble of 1999-2000, when stock valuations were high, and that we should use a longer period. But the lack of data for many assets classes before the 1990s (though admittedly not for equities) makes this problematic. Also, note that the historical returns data for the 20 years starting in May 1999 are quite low – 5.8% for U.S. equities, for example. This is because the starting-point was quite late in the cycle, as we probably also are now. We make the following additions and refinements to our analysis: Add coverage of the U.K., Australia, and Canada for both fixed income and equities. Add coverage of Emerging Markets debt: U.S. dollar and local-currency sovereign bonds, and dollar-denominated corporate credit. Among alternative assets, add coverage of gold, global Direct Real Estate, and global REITs. Improve the methodology for many alt asset classes, shifting from reliance on historical returns to an approach based on building blocks – for example, current yield plus an estimation of future capital appreciation – similar to our analysis of other asset classes. In our discussion of currencies, add for easy reference of readers a table of assumed returns for all the main asset classes expressed in USD, EUR, JPY, GBP, AUD, and CAD (using our forecasts of long-run movements in these currencies). Added Sharpe ratios to our main table of assumptions. The summary of our results is shown in Table 1. The results are all average annual nominal total returns, in local currency terms (except for global indexes, which are in U.S. dollars). Table 1BCA Assumed Returns Unsurprisingly, given the long-term nature of this exercise, our return projections have in general not moved much compared to those in November 2017. Indeed, markets look rather similar today to 18 months ago: the U.S. 10-year Treasury yield was 2.4% at end-April (our data cut-off point), compared to 2.3%, and the trailing PE for U.S. stocks 21.0, compared to 21.6. If anything, the overall assumption for a balanced portfolio (of 50% equities, 30% bonds, and 20% equal-weighted alts) has risen slightly compared to the 2017 edition: to 4.7% from 4.1% for a global portfolio, and to 4.9% from 4.6% for a purely U.S. one. That is partly because we include specific forecasts for the U.K., Australia, and Canada, where returns are expected to be slightly higher than for the markets we limited our forecasts to previously, the U.S, euro zone, Japan, and Emerging Markets (EM). Equity returns are also forecast to be higher than 18 months ago, mainly because several markets now are cheaper: trailing PE for Japan has fallen to 13.1x from 17.6x, for the euro zone to 15.5x from 18.0x, and for Emerging Markets to 13.6x from 15.4x (and more sophisticated valuation measures show the same trend). The long-term picture for global growth remains poor, based on our analysis, but valuation at the starting-point, as we have often argued, is a powerful indicator of future returns. We include Sharpe ratios in Table 1 for the first time. We calculate them as expected return/expected volatility to allow for comparison between different asset classes, rather than as excess return over cash/volatility as is strictly correct, and as should be used in mean variance optimizers. Chart 1Volatility Is Easier To Forecast Than Returns For volatility assumptions, we mostly use the 20-year average volatility of each asset class. As discussed above, historical returns should not be used to forecast future returns. But volatility does not trend much over the long-term (Chart 1). We looked carefully at volatility trends for all the asset classes we cover, but did not find a strong example of a trend decline or rise in any. We do, however, adjust the historic volatility of the illiquid, appraisal-based alternative assets, such as Private Equity, Real Estate, and Farmland. The reported volatility is too low, for example 2.6% in the case of U.S. Direct Real Estate. Even using statistical techniques to desmooth the return produces a volatility of only around 7%. We choose, therefore, to be conservative, and use the historic volatility on REITs (21%) and apply this to Direct Real Estate too. For Private Equity (historic volatility 5.9%), we use the volatility on U.S. listed small-cap stocks (18.6%). Looking at the forecast Sharpe ratios, the risk-adjusted return on global bonds (0.55) is somewhat higher than that of global equities (0.33). Credit continues to look better than equities: Sharpe ratio of 0.70 for U.S. investment grade debt and 0.62 for high-yield bonds. Nonetheless, our overall conclusion is that future returns are still likely to be below those of the past decade or two, and below many investors’ expectations. Over the past 20 years a global balanced portfolio (defined as above) returned 6.3% and a similar U.S. portfolio 7.0%. We expect 4.7% and 4.9% respectively in future. Investors working on the assumption of a 7-8% nominal return – as is typical among U.S. pension funds, for example – need to become realistic. Below follow detailed descriptions of how we came up with our assumptions for each asset class (fixed income, equities, and alternatives), followed by our forecasts of long-term currency movements, and a brief discussion of correlations. 1. Fixed Income We carry over from the previous edition our building-block approach to estimating returns from fixed income. One element we know with a relatively high degree of certainty is the return over the next 10 years from 10-year government bonds in developed economies: one can safely assume that it will be the same as the current 10-year yield. It is not mathematical identical, of course, since this calculation does not take into account reinvestment of coupons, or default risk, but it is a fair assumption. We can make some reasonable assumptions for returns from cash, based on likely inflation and the real equilibrium cash rate in different countries. After this, our methodology is to assume that other historic relationships (corporate bond spreads, default and recovery rates, the shape of the yield curve etc.) hold over the long run and that, therefore, the current level reverts to its historic mean. The results of our analysis, and the assumptions we use, are shown in Table 2. Full details of the methodology follow below. Table 2Fixed Income Return Calculations Projected returns have not changed significantly from the 2017 edition of this report. In the U.S., for the current 10-year Treasury bond yield we used 2.4% (the three-month average to end-April), very similar to the 2.3% on which we based our analysis in 2017. In the euro zone and Japan, yields have fallen a little since then, with the 10-year German Bund now yielding roughly 0%, compared to 0.5% in 2017, and the Japanese Government Bond -0.1% compared to zero. Overall, we expect the Bloomberg Barclays Global Index to give an annual nominal return of 1.7% over the coming 10-15 years, slightly up from the assumption of 1.5% in the previous edition. This small rise is due to the slight increase in the U.S. long-term risk-free rate, and to the inclusion for the first time of specific estimates for returns in the U.K., Australia, and Canada. Fixed Income Methodologies Cash. We forecast the long-run rate on 3-month government bills by generating assumptions for inflation and the real equilibrium cash rate. For inflation, in most countries we use the 20-year average of CPI inflation, for example 2.2% in the U.S. and 1.7% in the euro zone. This suggests that both the Fed and the ECB will slightly miss their inflation targets on the downside over the coming decade (the Fed targets 2% PCE inflation, but the PCE measure is on average about 0.5% below CPI inflation). Of course, this assumes that the current inflation environment will continue. BCA’s view is that inflation risks are significantly higher than this, driven by structural factors such as demographics, populism, and the advent of ultra-unorthodox monetary policy.2 But we see this as an alternative scenario rather than one that we should use in our return assumptions for now. Japan’s inflation has averaged 0.1% over the past 20 years, but we used 1% on the grounds that the Bank of Japan (BoJ) should eventually see some success from its quantitative easing. For the equilibrium real rate we use the New York Fed’s calculation based on the Laubach-Williams model for the U.S., euro zone, U.K., and Canada. For Japan, we use the BoJ’s estimate, and for Australia (in the absence of an official forecast of the equilibrium rate) we take the average real cash rate over the past 20 years. Finally, we assume that the cash yield will move from its current level to the equilibrium over 10 years. Government Bonds. Using the 10-year bond yield as an anchor, we calculate the return for the government bond index by assuming that the spread between 7- and 10-year bonds, and between 3-month bills and 10-year bonds will average the same over the next 10 years as over the past 20. While the shape of the yield curve swings around significantly over the cycle, there is no sign that is has trended in either direction (Chart 2). The average maturity of government bonds included in the index varies between countries: we use the five-year historic average for each, for example, 5.8 years for the U.S., and 10.2 years for Japan. Spread Product. Like government bonds, spreads and default rates are highly cyclical, but fairly stable in the long run (Chart 3). We use the 20-year average of these to derive the returns for investment-grade bonds, high-yield (HY) bonds, government-related securities (e.g. bonds issued by state-owned entities, or provincial governments), and securitized bonds (e.g. asset-backed or mortgage-backed securities). For example, for U.S. high-yield we use the average spread of 550 basis points over Treasuries, default rate of 3.8%, and recovery rate of 45%. For many countries, default and recovery rates are not available and so we, for example, use the data from the U.S. (but local spreads) to calculate the return for high-yield bonds in the euro zone and the U.K. Inflation-Linked Bonds. We use the average yield over the past 10 years (not 20, since for many countries data does not go back that far and, moreover, TIPs and their equivalents have been widely used for only a relatively short period.) We calculate the return as the average real yield plus forecast inflation. Chart 2Yield Curves Chart 3Credit Spreads & Default Rates Bloomberg Barclays Aggregate Bond Indexes. We use the weights of each category and country (from among those we forecast) to derive the likely return from the index. The composition of each country’s index varies widely: for example, in the euro zone (27% of the global bond index), government bonds comprise 66% of the index, but in the U.S. only 37%. Only the U.S. and Canada have significant weightings in corporate bonds: 29% and 50% respectively. This can influence the overall return for each country’s index. Table 3Emerging Market Debt Emerging Market Debt. We add coverage of EMD: sovereign bonds in both local currency and U.S. dollars, and USD-denominated EM corporate debt. Again, we take the 20-year average spread over 10-year U.S. Treasuries for each category. A detailed history of default and recovery is not available, so for EM corporate debt we assume similar rates to those for U.S. HY bonds. For sovereign bonds, we make a simple assumption of 0.5% of losses per year – although in practice this is likely to be very lumpy, with few defaults for years, followed by a rush during an EM crisis. For EM local currency debt, we assume that EM currencies will depreciate on average each year in line with the difference between U.S. inflation and EM inflation (using the IMF forecast for both – please see the Currency section below for further discussion on this). After these calculations, we conclude that EM USD sovereign bonds will produce an annual return of 4.7%, and EM USD corporate bonds 4.5% – in both cases a little below the 5.6% return assumption we have for U.S. high-yield debt (Table 3). 2. Equities Our equity methodologies are largely unchanged from the previous edition. We continue to use the return forecast from six different methodologies to produce an average assumed return. Table 4 shows the results and a summary of the calculation for each methodology. The explanation for the six methodologies follows below. Table 4Equity Return Calculations The results suggest slightly higher returns than our projections in 2017. We forecast global equities to produce a nominal annual total return in USD of 5.9%, compared to 4.6% previously. The difference is partly due to the inclusion for the first time of specific forecasts for the U.K., Australia and Canada, which are projected to see 8.0%, 7.4% and 6.0% returns respectively. The projection for the U.S. is fairly similar to 2017, rising slightly to 5.6% from 5.0% (mainly due to a slightly higher assumption for productivity growth in future, which boosts the nominal GDP growth assumption). Japan, however, does come out looking significantly more attractive than previously, with an assumed return of 6.2%, compared to 3.5% previously. This is mostly due to cheaper valuations, since the growth outlook has not improved meaningfully. Japan now trades on a trailing PE of 13.1x, compared to 17.6x in 2017. This helps improve the return indicated by a number of the methodologies, including earnings yield and Shiller PE. The forecast for euro zone equities remains stable at 4.7%. EM assumptions range more widely, depending on the methodology used, than do those for DM. On valuation-based measures (Shiller PE, earnings yield etc.), EM generally shows strong return assumptions. However, on a growth-based model it looks less attractive. We continue to use two different assumptions for GDP growth in EM. Growth Model (1) is based on structural reform taking place in Emerging Markets, which would allow productivity growth to rebound from its current level of 3.2% to the 20-year average of 4.1%; Growth Model (2) assumes no reform and that productivity growth will continue to decline, converging with the DM average, 1.1%, over the next 10 years. In both cases, the return assumption is dragged down by net issuance, which we assume will continue at the 10-year average of 4.9% a year. Our composite projection for EM equity returns (in local currencies) comes out at 6.6%, a touch higher than 6.0% in 2017. Equity Methodologies Equity Risk Premium (ERP). This is the simplest methodology, based on the concept that equities in the long run outperform the long-term risk-free rate (we use the 10-year U.S. Treasury yield) by a margin that is fairly stable over time. We continue to use 3.5% as the ERP for the U.S., based on analysis by Dimson, Marsh and Staunton of the average ERP for developed markets since 1900. We have, however, tweaked the methodology this time to take into account the differing volatility of equity markets, which should translate into higher returns over time. Thus we use a beta of 1.2 for the euro zone, 0.8 for Japan, 0.9 for the U.K., 1.1 for both Australia and Canada, and 1.3 for Emerging Markets. The long-term picture for global growth remains poor, but valuation at the starting-point, as we have often argued, is a powerful indicator of future returns. Growth Model. This is based on a Gordon growth model framework that postulates that equity returns are a function of dividend yield at the starting point, plus the growth of earnings in future (we assume that the dividend payout ratio stays constant). We base earnings growth off assumptions of nominal GDP growth (see Box 1 for how we calculate these). But historically there is strong evidence that large listed company earnings underperform nominal GDP growth by around 1 percentage point a year (largely because small, unlisted companies tend to show stronger growth than the mature companies that dominate the index) and so we deduct this 1% to reach the earnings growth forecast. We also need to adjust dividend yield for share buybacks which in the U.S., for tax reasons, have added 0.5% to shareholder returns over the past 10 years (net of new share issuance). In other countries, however, equity issuance is significantly larger than buybacks; this directly impacts shareholders’ returns via dilution. For developed markets, the impact of net equity issuance deducts 0.7%-2.7% from shareholder returns annually. But the impact is much bigger in Emerging Markets, where dilution has reduced returns by an average of 4.9% over the past 10 years. Table 5 shows that China is by far the biggest culprit, especially Chinese banks. Table 5Dilution In Emerging Markets BOX 1 Estimating GDP Growth We estimate nominal GDP growth for the countries and regions in our analysis as the sum of: annual growth in the working-age population, productivity growth, and inflation (we assume that capital deepening remains stable over the period). Results are shown in Table 6. Table 6Calculations Of Trend GDP Growth For population growth, we use the United Nations’ median scenario for annual growth in the population aged 25-64 between 2015 and 2030. This shows that the euro zone and Japan will see significant declines in the working population. The U.S. and U.K. look slightly better, with the working population projected to grow by 0.3% and 0.1% respectively. There are some uncertainties in these estimates. Stricter immigration policies would reduce the growth. Conversely, greater female participation, a later retirement age, longer working hours, or a rise in the participation rate would increase it. For emerging markets we used the UN estimate for “less developed regions, excluding least developed countries”. These countries have, on average, better demographics. However, the average number hides the decline in the working-age population in a number of important EM countries, for example China (where the working-age population is set to shrink by 0.2% a year), Korea (-0.4%), and Russia (-1.1%). By contrast, working population will grow by 1.7% a year in Mexico and 1.6% in India. For productivity growth, we assume – perhaps somewhat optimistically – that the decline in productivity since the Global Financial Crisis will reverse and that each country will return to the average annual productivity growth of the past 20 years (Chart 4). Our argument is that the cyclical factors that depressed productivity since the GFC (for example, companies’ reluctance to spend on capex, and shareholders’ preference for companies to pay out profits rather than to invest) should eventually fade, and that structural and technical factors (tight labor markets, increasing automation, technological breakthroughs in fields such as artificial intelligence, big data, and robotics) should boost productivity. Based on this assumption, U.S. productivity growth would average 2.0% over the next 10-15 years, compared to 0.5% since 1999. Note that this is a little higher than the Congressional Budgetary Office’s assumption for labor productivity growth of 1.8% a year. Chart 4AProductivity Growth (I) Chart 4BProductivity Growth (II) Our assumptions for inflation are as described above in the section on Fixed Income. The overall results suggest that Japan will see the lowest nominal GDP growth, at 0.9% a year, with the U.S. growing at 4.4%. The U.K. and Australia come out only a little lower than the U.S. For emerging markets, as described in the main text, we use two scenarios: one where productivity grow continues to slow in the absence of reforms, especially in China, from the current 3.2% to converge with the average in DM (1.1%) over the next 10-15 years; and an alternative scenario where reforms boost productivity back to the 20-year average of 4.1%. Growth Plus Reversion To Mean For Margins And Profits. There is logic in arguing that profit margins and multiples tend to revert to the mean over the long term. If margins are particularly high currently, profit growth will be significantly lower than the above methodology would suggest; multiple contraction would also lower returns. Here we add to the Growth Model above an assumption that net profit margin and trailing PE will steadily revert to the 20-year average for each country over the 10-15 years. For most countries, margins are quite high currently compared to history: 9.2% in the U.S., for example, compared to a 20-year average of 7.7%. Multiples, however, are not especially high. Even in the U.S. the trailing PE of 21.0x, compares to a 20-year average of 20.8x (although that admittedly is skewed by the ultra-high valuations in 1999-2000, and coming out of the 2007-9 recession – we would get a rather lower number if we used the 40-year average). Indeed, in all the other countries and regions, the PE is currently lower than the 20-year average. Note that for Japan, we assumed that the PE would revert to the 20-year average of the U.S. and the euro zone (19.2), rather than that of Japan itself (distorted by long periods of negative earnings, and periods of PE above 50x in the 1990s and 2000s). Earnings Yield. This is intuitively a neat way of thinking about future returns. Investors are rewarded for owning equity, either by the company paying a dividend, or by reinvesting its earnings and paying a dividend in future. If one assumes that future return on capital will be similar to ROC today (admittedly a rash assumption in the case of fast-growing companies which might be tempted to invest too aggressively in the belief that they can continue to generate rapid growth) it should be immaterial to the investor which the company chooses. Historically, there has been a strong correlation between the earnings yield (the inverse of the trailing PE) and subsequent equity returns, although in the past two decades the return has been somewhat higher that the EY suggested, and so in future might be somewhat lower. This methodology produces an assumed return for U.S. equities of 4.8% a year. Shiller PE. BCA’s longstanding view is that valuation is not a good timing tool for equity investment, but that it is crucial to forecasting long-term returns. Chart 5 shows that there is a good correlation in most markets between the Shiller PE (current share price divided by 10-year average inflation-adjusted earnings) and subsequent 10-year equity returns. We use a regression of these two series to derive the assumptions. This points to returns ranging from 5.4% in the case of the U.S. to 12.5% for the U.K. Composite Valuation Indicator. There are some issues that make the Shiller PE problematical. It uses a fixed 10-year period, whereas cycles vary in length. It tends to make countries look cheap when they have experienced a trend decline in earnings (which may continue, and not mean revert) and vice versa. So we also use a proprietary valuation indicator comprising a range of standard parameters (including price/book, price/cash, market cap/GDP, Tobin’s Q etc.), and regress this against 10-year returns. The results are generally similar to those using the Shiller PE, except that Japan shows significantly higher assumed returns, and the U.K. and EM significantly lower ones (Chart 6). Chart 5Shiller PE Vs. 10-Year Return Chart 6Composite Valuation Vs. 10-Year Return 3. Alternative Investments We continue to forecast each illiquid alternative investment separately, but we have made a number of changes to our methodologies. Mostly these involve moving away from using historical returns as a basis for our forecasts, and shifting to an approach based on current yield plus projected future capital appreciation. In direct real estate, for example, in 2017 we relied on a regression of historical returns against U.S. nominal GDP growth. We move in this edition to an approach based on the current cap rate, plus capital appreciation (based on forecasts of nominal GDP growth), and taking into account maintenance costs (details below). We also add coverage of some additional asset classes: global ex-U.S. direct real estate, global ex-U.S. REITs, and gold. Table 7 summarizes our assumptions, and provides details of historic returns and volatility. Table 7Alternatives Return Calculations It is worth emphasizing here that manager selection is far more important for many alternative investment classes than it is for public securities (Chart 7). There is likely to be, therefore, much greater dispersion of returns around our assumptions than would be the case for, say, large-cap U.S. equities. Chart 7For Alts, Manager Selection Is Key Hedge Funds Chart 8Hedge Fund Return Over Cash Hedge fund returns have trended down over time (Chart 8). Long gone is the period when hedge funds returned over 20% per year (as they did in the early 1990s). Over the past 10 years, the Composite Hedge Fund Index has returned annually 3.3% more than 3-month U.S. Treasury bills. But that was entirely during an economic expansion and so we think it is prudent to cut last edition’s assumption of future returns of cash-plus-3.5%, to cash-plus-3% going forward. Direct Real Estate Our new methodology for real estate breaks down the return, in a similar way to equities, into the current cash yield (cap rate) plus an assumption of future capital growth. For the cap rate, we use the average, weighted by transaction volumes, of the cap rates for apartments, office buildings, retail, industrial real estate, and hotels in major cities (for example, Chicago, Los Angeles, Manhattan, and San Francisco for the U.S., or Osaka and Tokyo for Japan). We assume that capital values grow in line with each’s country’s nominal GDP growth (using the IMF’s five-year forecasts for this). We deduct a 0.5% annual charge for maintenance, in line with industry practice. Results are shown in Table 8. Our assumptions point to better returns from real estate in the U.S. than in the rest of the world. Not only is the cap rate in the U.S. higher, but nominal GDP growth is projected to be higher too. Table 8Direct Real Estate Return Calculations REITs We switch to a similar approach for REITs. Previously we used a regression of REITs against U.S. equity returns (since REITs tend to be more closely correlated with equities than with direct real estate). This produced a rather high assumption for U.S. REITs of 10.1%. We now use the current dividend yield on REITs plus an assumption that capital values will grow in line with nominal GDP growth forecasts. REITs’ dividend yields range fairly narrowly from 2.9% in Japan to 4.7% in Canada. We do not exclude maintenance costs since these should already be subtracted from dividends. The result of using this methodology is that the assumed return for U.S. REITs falls to a more plausible 8.5%, and for global REITs is 6.2%. Private Equity & Venture Capital Chart 9Private Equity Premium Has Shrunk Around It makes sense that Private Equity returns are correlated with returns from listed equities. Most academic studies have shown a premium over time for PE of 5-6 percentage points (due to leverage, a tilt towards small-cap stocks, management intervention, and other factors). However, this premium has swung around dramatically over time (Chart 9). Over the past 10 years, for example, annual returns from Private Equity and listed U.S. equities have been identical: 12%. However, there appears to be no constant downtrend and so we think it advisable to use the 30-year average premium: 3.4%. This produces a return assumption for U.S. Private Equity of 8.9% per year. Over the same period, Venture Capital has returned around 0.5% more than PE (albeit with much higher volatility) and we assume the same will happen going forward. Structured Products In the context of alternative asset classes, Structured Products refers to mortgage-backed and other asset-backed securities. We use the projected return on U.S. Treasuries plus the average 20-year spread of 60 basis points. Assumed return is 2.7%. Farmland & Timberland Chart 10Farm Prices Grow More Slowly Than GDP As with Real Estate and REITs, we move to a methodology using current cash yield (after costs) plus an assumption for capital appreciation linked to nominal GDP forecasts. The yield on U.S. Farmland is currently 4.4% and on Timberland 3.2%. Both have seen long-run prices grow significantly more slowly than nominal GDP growth. Since 1980, for example, farm prices have risen at a compound rate of 3.9% per acre, compared to U.S. nominal GDP growth of 5.2% and global GDP growth of 5.5% (Chart 10). We assume that this trend will continue, and so project farm prices to grow 1.5 percentage points a year more slowly than global GDP (using global, not U.S., economic growth makes sense since demand for food is driven by global factors). This produces a total return assumption of 6%. For timberland, we did not find a consistent relationship with nominal GDP growth and so assumed that prices would continue to grow at their historic rate over the past 20 years (the longest period for which data is available). We project timberland to produce an annual return of 4.8%. Commodities & Gold For commodities we use a very different methodology (which we also used in the previous edition): the concept that commodities prices consistently over time have gone through supercycles, lasting around 10 years, followed by bear markets that have lasted an average of 17 years (Chart 11). The most recent super-cycle was 2002-2012. In the period since the supercycle ended, the CRB Index has fallen by 42%. Comparing that to the average drop in the past three bear markets, we conclude that there is about 8% left to fall over the next nine years, implying an annual decline of about 1%. Our overall conclusion is that future returns are still likely to be below those of the past decade or two, and below many investors’ expectations. We add gold to our assumptions, since it is an asset often held by investors. However, it is not easy to project long-term returns for the metal. Since the U.S. dollar was depegged from gold in 1968, gold too has gone through supercycles, in the 1970s and 2002-11 (Chart 12). We find that change in real long-term interest rates negatively affects gold (logically since higher rates increase the opportunity cost of owning a non-income-generating asset). We use, therefore, a regression incorporating global nominal GDP growth and a projection of the annual change in real 10-year U.S. Treasury yields (based on the equilibrium cash rate plus the average spread between 10-year yields and cash). This produces an assumption of an annual return from gold of 4.7% a year. We continue to see this asset class more as a hedge in a portfolio (it has historically had a correlation of only 0.1 with global equities and 0.24 with global bonds) rather than a source of return per se. Chart 11Commodities Still In A Bear Market Chart 12Gold Also Has Supercycles 4. Currencies Chart 13Currencies Tend To Revert To PPP All the return projections in this report are in local currency terms. That is a problem for investors who need an assumption for returns in their home currency. It is also close to impossible to hedge FX exposure over as long a period as 10-15 years. Even for investors capable of putting in place rolling currency hedges, GAA has shown previously that the optimal hedge ratio varies enormously depending on the home currency, and that dynamic hedges (i.e. using a simple currency forecasting model) produce better risk-adjust returns than a static hedge.3 Fortunately, there is an answer: it turns out that long-term currency forecasting is relatively easy due to the consistent tendency of currencies, in developed economies at least, to revert to Purchasing Power Parity (PPP) over the long-run, even though they can diverge from it for periods as long as five years or more (Chart 13). We calculate likely currency movements relative to the U.S. dollar based on: 1) the current divergence of the currency from PPP, using IMF estimates of the latter; 2) the likely change in PPP over the next 10 years, based on inflation differentials between the country and the U.S. going forward (using IMF estimates of average CPI inflation for 2019-2024 and assuming the same for the rest of the period). The results are shown in Table 9. All DM currencies, except the Australian dollar, look cheap relative to the U.S. dollar, and all of them, again excluding Australia, are forecast to run lower inflation that the U.S. implying that their PPPs will rise further. This means that both the euro and Japanese yen would be expected to appreciate by a little more than 1% a year against the U.S. dollar over the next 10 years or so. Table 9Currency Return Calculations PPP does not work, however, for EM currencies. They are all very cheap relative to PPP, but show no clear trend of moving towards it. The example of Japan in the 1970s and 1980s suggests that reversion to PPP happens only when an economy becomes fully developed (and is pressured by trading partners to allow its currency to appreciate). One could imagine that happening to China over the next 10-20 years, but the RMB is currently 48% undervalued relative to PPP, not so different from its undervaluation 15 years ago. For EM currencies, therefore, we use a different methodology: a regression of inflation relative to the U.S. against historic currency movements. This implies that EM currencies are driven by the relative inflation, but that they do not trend towards PPP. Based on IMF inflation forecasts, many Emerging Markets are expected to experience higher inflation than the U.S. (Table 10). On this basis, the Turkish lira would be expected to decline by 7% a year against the U.S. dollar and the Brazilian real by 2% a year. However, the average for EM, which we calculated based on weights in the MSCI EM equity index, is pulled down by China (29% of that index), Korea (15%) and Taiwan (12%). China’s inflation is forecast to be barely above that in the U.S, and Korean and Taiwanese inflation significantly below it. MSCI-weighted EM currencies, consequently, are forecast to move roughly in line with the USD over the forecast horizon. One warning, though: the IMF’s inflation forecasts in some Emerging Markets look rather optimistic compared to history: will Mexico, for example, see only 3.2% inflation in future, compared to an average of 5.7% over the past 20 years? Higher inflation than the IMF forecasts would translate into weaker currency performance. Table 10EM Currencies In Table 11, we have restated the main return assumptions from this report in USD, EUR, JPY, GBP, AUD, and CAD terms for the convenience of clients with different home currencies. As one would expect from covered interest-rate parity theory, the returns cluster more closely together when expressed in the individual currencies. For example, U.S. government bonds are expected to return only 0.8% a year in EUR terms (versus 2.1% in USD terms) bringing their return closer to that expected from euro zone government bonds, -0.4%. Convergence to PPP does not, however, explain all the difference between the yields in different countries. Table 11Returns In Different Base Currencies 5. Correlations Chart 14Correlations Are Hard To Forecast We have not tried to forecast correlations in this Special Report. As discussed, historical returns from different asset classes are not a reliable guide to future returns, but it is possible to come up with sensible assumptions about the likely long-run returns going forward. Volatility does not trend much over the long term, so we think it is not unreasonable to use historic volatility data in an optimizer. But correlation is a different matter. As is well known, the correlation of equities and bonds has moved from positive to negative over the past 40 years (mainly driven by a shift in the inflation environment). But the correlation between major equity markets has also swung around (Chart 14). Asset allocators should preferably use rough, conservative assumptions for correlations – for example, 0.1 or 0.2 for the equity/bond correlation, rather than the average -0.1 of the past 20 years. We plan to do further work to forecast correlations in a future edition of this report. But for readers who would like to see – and perhaps use – historic correlation data, we publish below a simplified correlation matrix of the main asset classes that we cover in this report (Table 12). We would be happy to provide any client with the full spreadsheet of all asset classes . Table 12Correlation Matrix Garry Evans Chief Global Asset Allocation Strategist garry@bcaresearch.com Footnotes 1 Please see Global Asset Allocation Special Report, “What Returns Can You Expect?”, dated 15 November 2017, available at gaa.bcaresearch.com 2 Please see Global Asset Allocation Special Report, “Investors’ Guide To Inflation Hedging: How To Invest When Inflation Rises,” dated 22 May 2019, available at gaa.bcaresearch.com 3 Please see GAA Special Report, “Currency Hedging: Dynamic Or Static? A Practical Guide For Global Equity Investors,” dated 29 September 2017, available at gaa.bcaresearch.com