The Fed s theoretical thinking and the importance of the so-called neutral real interest rate

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1 The Fed s theoretical thinking and the importance of the so-called neutral real interest rate Mikael Olai Milhøj Analyst, Macro Research milh@danskebank.dk Anders Vestergård Fischer Senior Analyst, Fixed Income Research afis@danskebank.dk 9 December 2015 Investment Research Important disclosures and certifications are contained from page 14 of this document

2 Summary The so-called neutral real interest rate is key to understanding why we expect the Fed to increase the Federal funds rate more slowly and why it is likely to stay lower than in previous cycles. How accommodative monetary policy is should be measured by the real rate gap between the actual real policy rate and the neutral real rate. When the gap is negative, monetary policy is said to be easy; if the gap is positive, monetary policy is tight. The neutral real rate is unobservable but estimated by the Fed to be around 0% currently. This implies that the Fed risks tightening too much if it raises rates too quickly given the uncertainty about the true value. Thus, in practice, the Fed must monitor the effect on the real economy closely. This is why the Fed says the future rate path will be data dependent and that the hiking cycle will be more gradual compared with previous cycles. Pescatori & Turunen (2015) estimate that the neutral real rate will increase very slightly to 1% (3% nominal) in coming years. This means the long-term Federal funds rate is unlikely to get as high as in previous hiking cycles. The median FOMC dot for the long-term Federal funds rate in September suggests an end rate of 3.5% (1.5% in real terms). Thus, the FOMC members are in general more upbeat on the long-term neutral rate. 2

3 Definition of the so-called neutral real interest rate The neutral real interest rate and the real policy rate gap are key to understanding the forthcoming hiking cycle. The minutes from the October FOMC meeting and recent speeches from FOMC members (including speeches by Fed Chair Janet Yellen) have revealed that these two concepts are very important to understanding the FOMC s thinking. The neutral real rate is a macroeconomic concept defined as the real interest rate level that would prevail in a situation where the output gap is closed, the economy is growing at trend and inflation is stable. Another way to say it is that the neutral real rate is the rate that equilibrates the market for loanable funds (thus, also called the equilibrium rate sometimes) assuming a closed output gap. The neutral real rate helps to explain why we expect the Fed to increase the Fed funds rate slowly and to a lower level than in previous cycles. Theory says that the stance of monetary policy should be measured by the so-called real policy rate gap, which is the difference between the actual real policy rate and the neutral real rate, and not by the current level of the nominal Fed funds rate. When the actual real policy rate is below the neutral real rate (negative gap), monetary policy is said to be easy, while monetary policy is tight when the real policy rate is above the neutral real rate (positive gap). 3

4 Determinants of the neutral real policy rate The neutral real rate is the rate that equilibrates the market for loanable funds (thus, also called the equilibrium rate sometimes) assuming a closed output gap. Anything that shifts the supply curve to the right (i.e. more supply for a given real rate) or the demand curve to the left (i.e. less demand for a given real rate) lowers the neutral real rate (solid lines with dashed lines). Among other things, the neutral real rate depends on productivity growth, the price of capital, investment profitability, fiscal policy, demographics, relative demand for bonds and the relative risk of equities. Source: IMF WEO

5 Neutral real rate declined during the crisis It is important to recognise that the neutral real rate is unobservable and first and foremost a theoretical/hypothetical concept. We cannot be sure what the true value of the neutral real rate is, we can only try to estimate it. Different models, estimation methods, data and so on imply that we get different results (as indicated by the chart overleaf), which adds to the uncertainty about the true value. Most researchers agree that the neutral real rate declined during the crisis and some even argue that it went negative when the crisis was at its worst. The fall in the neutral real policy rate was due to a combination of the following. Slower trend growth. Lower investment demand due to the severe crisis. Lower price of capital leading to less demand for funds. Emerging markets savings glut. Safe-haven capital flights, which increased the demand for safe US assets. 5

6 Different models find different values of the neutral rate Source: Federal Reserve 6

7 Estimated real policy rate gaps At the beginning of the crisis, the Fed lowered the Federal funds rate to the target range %, implying a negative real policy rate when subtracting expected inflation. However, monetary policy was not as accommodative as on first sight. As the neutral real rate also declined, the real policy rate gap did not fall as much as the real policy rate. This is one of the reasons why the Fed launched its asset-purchase programmes as lowering the Fed funds rate was not accommodative enough to offset the negative impact of the Great Recession. Pescatori & Turunen (2015) estimate that unconventional tools made monetary policy 1-3pp more accommodative than otherwise (as illustrated by the shadow rate gap in the chart on the right). Source: Pescatori & Turunen (2015) 7

8 Neutral rate is unobservable in practice Fed must try and see Most Fed models indicate that the neutral real rate is 0.00% at present. The uncertainty about the true neutral real policy rate is a key reason why the Fed is likely to move slowly after the lift-off. The US and the rest of the developed world have been through a very severe crisis and the Fed wants to make sure that it does not increase the Fed funds rate too quickly. Assuming that the true neutral real rate is, for example, -0.25%, the current stance of monetary policy is already relatively tighter than if the true neutral real rate were 0.00%, as the real rate gap is smaller from the start. This is why FOMC members have said that the hiking cycle will be gradual and data dependent, as they want to see how the real economy will be affected by the hikes. The more the economy slows, the more likely it is that the current neutral real policy rate is lower than the point estimate of 0.00% and vice versa. 8

9 Neutral real interest rate vs actual real rate Note: We have used the neutral real interest rate calculated using the method by Laubach & Williams (2001). Note that the neutral rate according to their method did not become negative during the crisis. This is not in line with other papers, which get a negative neutral real interest rate (as illustrated on page 6). Source: Federal Reserve, Atlanta Fed, Wu & Xia (2014), Laubach & Williams (2001), Danske Bank 9

10 Neutral rate should increase only slightly in coming years, explaining why long-term Fed funds rate is lower Pescatori & Turunen (2015) estimate that the neutral real rate will increase slightly in the coming years to around 1% in 2020 (uncertainty range %). This means the long-term Fed funds rate is unlikely to reach as high as in previous hiking cycles. Assuming that the long-term neutral interest rate is 1%, it implies the long-term Fed funds rate is 3% (or in the range % due to the uncertainty surrounding the point estimate) according to the Fisher equation. The median dot for the long-term Fed funds rate in the FOMC s September projection was 3.50%, which is at the upper end of the uncertainty range. Thus, the median FOMC member is a bit more upbeat on the neutral real policy rate than the point estimate in Pescatori & Turunen (2015). If the point estimate of 1% turns out to be right, the long-term dots from the September projections could be revised down further going forward. The long-term median dot has already been revised down 75bp from 4.25% in January 2012 to 3.50% in September It is also worth noting that the different views among the FOMC members on the long-term Fed funds rate imply that they disagree on the level of the long-term neutral real policy rate. The current dots indicate a range of 1-2%. 10

11 APPENDIX NEUTRAL REAL RATE IN A NEW KEYNESIAN FRAMEWORK 11

12 Neutral rate in a New Keynesian model The importance of the real rate gap can be illustrated in a simple New Keynesian (NK) macroeconomic model. NK models have become workhorses for analysing monetary policy both academically and within central banks. Without going into too much detail, the simple NK model consists of a supply side and a demand side of the economy and a central bank controlling the nominal interest rate. The first equation is the NK Phillips Curve (NKPC), which is usually interpreted as the supply side of the economy. NKPC describes the relationship between the current inflation rate, the expected future inflation rate and the output gap: Where π t is the inflation rate at time t and x t is the output gap (defined as the difference between the actual output and potential output). Potential output is the output that would prevail in the long run when prices and wages have adjusted) and E t is the expectation operator given what you know at time t (the socalled information set), implying this is the expected future inflation rate at time t+1 conditional on what you know at time t. κ and β are coefficients. Inflation depends positively on the output gap. If the output gap is positive (i.e. actual output > potential output), the economy is hot leading to higher inflation. Inflation depends positively on future inflation, as prices are sticky and thus firms take the future into account as they know they cannot adjust their prices frequently. 12

13 Neutral rate in a New Keynesian model The second equation is the so-called IS curve, which is usually interpreted as the demand side of the model. The IS curve describes the relationship between the current output gap, the expected future output gap and the real interest rate gap. Where E t x t+1 is the expected future output gap at time t+1 condition on what you know at time t, i t is the nominal interest rate at time t and r n t is the neutral real interest rate at time t. The time notation is because the neutral interest rate is not necessarily constant over time. σ is a parameter. The Fischer equation states that the current real interest rate is the nominal interest rate minus expected inflation, i.e. i t - E t π t+1 =r t. Therefore, as mentioned, the IS curve relates the output gap with the real interest rate gap. Disregarding the expected future output gap, the output gap will be positive when r t < r n t and negative when r t > r n t. Although the simple New Keynesian model is only a simplification of the real economy, it suggests theoretically why the stance of monetary policy should be judged by the sign of the real rate gap and not by the level of the nominal interest rate. The Fed is afraid that it may tighten too quickly such that r t > r n t and it slows the economy too much. If r n t does not get back to the same level as before the crisis, then i t cannot either in the new equilibrium. 13

14 Disclosures This research report has been prepared by Danske Bank Markets, a division of Danske Bank A/S ( Danske Bank ). The authors of this research report are Mikael Olai Milhøj, Analyst Macro Research and Anders Vestergård Fischer, Senior Analyst Fixed Income Research. Analyst certification Each research analyst responsible for the content of this research report certifies that the views expressed in the research report accurately reflect the research analyst s personal view about the financial instruments and issuers covered by the research report. Each responsible research analyst further certifies that no part of the compensation of the research analyst was, is or will be, directly or indirectly, related to the specific recommendations expressed in the research report. Regulation Danske Bank is authorised and subject to regulation by the Danish Financial Supervisory Authority and is subject to the rules and regulation of the relevant regulators in all other jurisdictions where it conducts business. Danske Bank is subject to limited regulation by the Financial Conduct Authority and the Prudential Regulation Authority (UK). Details on the extent of the regulation by the Financial Conduct Authority and the Prudential Regulation Authority are available from Danske Bank on request. The research reports of Danske Bank are prepared in accordance with the Danish Society of Financial Analysts rules of ethics and the recommendations of the Danish Securities Dealers Association. Conflicts of interest Danske Bank has established procedures to prevent conflicts of interest and to ensure the provision of high-quality research based on research objectivity and independence. These procedures are documented in Danske Bank s research policies. Employees within Danske Bank s Research Departments have been instructed that any request that might impair the objectivity and independence of research shall be referred to Research Management and the Compliance Department. Danske Bank s Research Departments are organised independently from and do not report to other business areas within Danske Bank. Research analysts are remunerated in part based on the overall profitability of Danske Bank, which includes investment banking revenues, but do not receive bonuses or other remuneration linked to specific corporate finance or debt capital transactions. Financial models and/or methodology used in this research report Calculations and presentations in this research report are based on standard econometric tools and methodology as well as publicly available statistics for each individual security, issuer and/or country. Documentation can be obtained from the authors on request. Risk warning Major risks connected with recommendations or opinions in this research report, including as sensitivity analysis of relevant assumptions, are stated throughout the text. Date of first publication See the front page of this research report for the date of first publication. 14

15 General disclaimer This research has been prepared by Danske Bank Markets (a division of Danske Bank A/S). It is provided for informational purposes only. It does not constitute or form part of, and shall under no circumstances be considered as, an offer to sell or a solicitation of an offer to purchase or sell any relevant financial instruments (i.e. financial instruments mentioned herein or other financial instruments of any issuer mentioned herein and/or options, warrants, rights or other interests with respect to any such financial instruments) ( Relevant Financial Instruments ). The research report has been prepared independently and solely on the basis of publicly available information that Danske Bank considers to be reliable. While reasonable care has been taken to ensure that its contents are not untrue or misleading, no representation is made as to its accuracy or completeness and Danske Bank, its affiliates and subsidiaries accept no liability whatsoever for any direct or consequential loss, including without limitation any loss of profits, arising from reliance on this research report. The opinions expressed herein are the opinions of the research analysts responsible for the research report and reflect their judgement as of the date hereof. These opinions are subject to change, and Danske Bank does not undertake to notify any recipient of this research report of any such change nor of any other changes related to the information provided in this research report. This research report is not intended for retail customers in the United Kingdom or the United States. This research report is protected by copyright and is intended solely for the designated addressee. It may not be reproduced or distributed, in whole or in part, by any recipient for any purpose without Danske Bank s prior written consent. Disclaimer related to distribution in the United States This research report is distributed in the United States by Danske Markets Inc., a U.S. registered broker-dealer and subsidiary of Danske Bank, pursuant to SEC Rule 15a-6 and related interpretations issued by the U.S. Securities and Exchange Commission. The research report is intended for distribution in the United States solely to U.S. institutional investors as defined in SEC Rule 15a-6. Danske Markets Inc. accepts responsibility for this research report in connection with distribution in the United States solely to U.S. institutional investors. Danske Bank is not subject to U.S. rules with regard to the preparation of research reports and the independence of research analysts. In addition, the research analysts of Danske Bank who have prepared this research report are not registered or qualified as research analysts with the NYSE or FINRA but satisfy the applicable requirements of a non-u.s. jurisdiction. Any U.S. investor recipient of this research report who wishes to purchase or sell any Relevant Financial Instrument may do so only by contacting Danske Markets Inc. directly and should be aware that investing in non-u.s. financial instruments may entail certain risks. Financial instruments of non-u.s. issuers may not be registered with the U.S. Securities and Exchange Commission and may not be subject to the reporting and auditing standards of the U.S. Securities and Exchange Commission. 15

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