Monetary Policy in a Schumpeterian Growth Model with Vertical R&D Sectors

We explore the growth and welfare effects of monetary policy in a Schumpeterian economy with cash-in-advance (CIA)-constrained research and development (R&D) investment in both the upstream and downstream sectors. We show that the nominal interest rate can have an inverted-U relation with economic growth due to its effects on labor allocations between manufacturing and R&D and between the R&D sectors. Furthermore, aggregate R&D overinvestment is generally sufficient but not necessary for the Friedman rule of zero nominal interest rates to be suboptimal. Calibrated using data from U.S. manufacturing firms, our model features a positive welfare-maximizing nominal interest rate despite aggregate R&D underinvestment.     

The Relationship between Federal Deficits and Real Interest Rates

Real interest rates fluctuated a great deal since the 1970s. In the 1980s federal deficits accelerated and their impact on both nominal and real interest rates gained lots of attention. Based on monthly and quarterly data from January 1971 to December 1997 it is found that federal deficits had significant positive effect on the real interest rates: Personal income or consumption are found to have significant positive impact on the real interest rates, whereas expected inflation and money supply are found to have negative impact on the real interest rates. These findings are consistent with the conventional economic theory.     

The nominal duration of TIPS bonds

This paper studies the price responsiveness (effective duration) of U.S. government issued inflation-indexed bonds, known by the acronym TIPS (Treasury Inflation-Protected Securities), to changes in nominal interest rates, real interest rates, and expected inflation. Using the TIPS pricing formula derived by Laatsch and Klein [Q. Rev. Econ. Finance 43 (2002) 405], we first confirm that TIPS bonds have zero sensitivity to changes solely in expected inflation. By changes solely in expected inflation, we mean that the real rate remains unchanged and the nominal rate changes in accordance with the established Fisher [Publ. Am. Econ. Assoc. 11 (1896)] effect. We show that the first derivative of the TIPS price is zero whenever the real rate is held constant. Thus, the first partial derivative of the TIPS bond pricing formula with respect to expected inflation is zero and the first partial derivative of the TIPS bond price with respect to nominal rates is also zero, given, in each case, that we hold the real rate constant. We then temporarily shift the analysis to zero-coupon TIPS bonds and zero-coupon ordinary Treasury bonds. We prove that the nominal duration of zero-coupon TIPS bonds equals that of zero-coupon ordinary Treasury bonds when the real rate changes but expected inflation is held constant.However, if expected inflation changes and the change in the nominal rate does not yield a constant real rate, zero-coupon TIPS prices will change and they will change by a smaller percentage than will zero-coupon ordinary Treasury bonds. We analyze TIPS responsiveness to changes in nominal rates under such conditions. We derive an approximation to effective duration that demonstrates that the effective durations of various maturity zero-coupon TIPS bonds are approximately linear functions in time to maturity of the effective duration of the one-year zero-coupon TIPS bond, ceteris paribus.Nominal effective duration of TIPS bonds is certainly of interest to fixed income portfolio managers that might have a desire to include such bonds in their portfolio. After all, the greater portion of a typical fixed income portfolio is in traditional, noninflation protected bonds whose major risk exposure is to changes in nominal rates. To properly assess the role of TIPS bonds in the portfolio, portfolio managers need information as to how TIPS bonds respond to the changes in nominal rates that are driving the price behavior of the bulk of the portfolio's assets. Prior to concluding the paper, we demonstrate how portfolio managers can calculate the nominal durations of coupon TIPS bonds using the zero-coupon duration formula we derive.     

利率市场化、信贷资源配置与民营企业增长期权价值——基于贷款利率上、下限放开的准自然实验证据

利率市场化对于提高资金配置效率、推动经济高质量发展具有重要意义,来自企业的经验证据有助于理解利率市场化影响经济发展的微观路径。本文基于我国贷款利率上限与下限的放开,借助双重差分模型检验了利率市场化如何影响民营企业的信贷资源获取、投资灵活性与增长期权价值。研究表明:贷款利率市场化使得银行能够通过调节利率来匹配企业风险,相比于中等风险企业,高风险(低风险)企业在贷款利率上限(下限)放开后以更高(更低)的融资成本获得了更多信贷资源;信贷资源的增加为企业把握投资机会提供了资金支持,贷款利率上限(下限)放开后,高风险(低风险)企业的投资灵活性与增长期权价值显著提升。本文的研究发现有助于理解利率市场化促进经济增长的微观机制,为进一步健全市场化利率体系、推进经济高质量发展提供参考。     

Are There Optimal Multiple-Reserve Requirements?

A number of developing countries have adopted deficit finance regimes involving multiple- (currency and bond) reserve requirements. A key characteristic of these regimes is that the real interest rates on reservable bonds are higher than the real return rates on currency, so that the nominal interest rates on the bonds are positive. We seek an efficiency-based explanation for the existence of multiple-reserve regimes and for this key characteristic. We find that there are economies in which some of the efficient allocations can be supported only by multiple-reserve requirements, and that positive nominal bond rates may be needed to support some of these allocations. We also find that there are economies in which allocations supported by multiple-reserve regimes with negative nominal bond rates Pareto dominate single-reserve allocations, even when the latter are efficient relative to other single-reserve allocations. Journal of Economic Literature Classification Numbers: E42, E58, H62.     

Are expectations of inflation rational? or Is variation of the expected real interest rate unpredictable?

The joint hypothesis developed and tested in this paper is that the nominal interest rate is a rational expectation of the real interest rate plus the inflation rate and that variation of the expected real interest rate is unpredictable on the basis of information used in the test. This test is applied to quarterly data on three-month United States Treasury bills of 1954 to 1973. The information used in the tests includes, besides past interest rates and inflation rates, past growth rates of the source base, the money supply, and real GNP. Some of the tests allow for a positive marginal tax rate, which changes the results little. The hypothesis is generally consistent with the data, which provides support for the proposition that predictable changes of the money supply do not affect expected real interest rates over periods as short as a quarter.     

Quasi-monetary and quasi-fiscal policy rules at the zero-lower bound

This paper assesses adjustments at the zero lower bound (ZLB) in an economy incorporating financial frictions and nominal price stickiness. We examine the dynamic paths of key variables under recurring real (productivity) and financial (net worth) shocks under three alternative policy scenarios: removal of the zero lower bound (to allow for negative rates), quantitative easing policies at the ZLB, and the use of endogenous tax-rates rules for consumption and labor income at the ZLB. The results show that the fiscal tax-rate rules (acting like a quasi-monetary policy with direct effects on consumption) can be as effective as quantitative easing (a quasi-fiscal policy with indirect effects on investment) in times of prolonged crises due to recurring negative shocks.     

Infrequent Housing Adjustment,Limited Participation,and Monetary Policy

This paper asks why monetary contractions have strong effects on the housing market. The paper presents a model with staggered housing adjustment in which monetary policy has real effects in the absence of any rigidity in producer pricing or wages. Limited participation in financial markets leads to a rise in the real mortgage rate following an increase in the nominal short rate. Since households must take on a mortgage to consume housing, the rise in the real interest rate reduces the share of residential investment in output.     

Banks' option to lend,interest rate sensitivity,and credit availability

Interest rate risk is a major concern for banks because of the nominal nature of their assets and the asset-liability maturity mismatch. This paper proposes a new way to derive a bank's interest rate sensitivity, by examining separately the effects of interest rate changes on existing loans(loans-in-place) and potential loans (loans-in-process). A potential loan is shown to be equivalent to an American option to lend, and is valued using option theory. An increase in interest rates generally has a negative effect on existing loans. However, if both deposit and lending rates rise by the same amount, the value of a potential loan generally increases. Hence a bank's lending slack (or ratio of loans-in-process to loans-in-place) will determine its overall interest rate risk. Empirical evidence indicates that low-slack banks indeed have significantly more interest rate risk than high-slack banks. The model also makes predictions regarding the effect of deposit and lending rate parameters on bank credit availability. Empirical tests with quarterly data are generally supportive of these predictions. This revised version was published online in June 2006 with corrections to the Cover Date.     

International Interest Rates,Exchange Rates,and the Stochastic Structure of Supply

In a dual-currency, flexible exchange rate model, both nominal and real foreign exchange premia depend on investor risk attitudes, consumption parameters, and the stochastic structure of currency and commodity supplies. When supplies are random, their joint correlation structure determines the sign of the premia. If the money supplies are identically distributed, then all foreign exchange premia, regardless of the currency of denomination, are zero. A positive correlation between the value of a country's currency and its nominal interest rate need not indicate real interest rate movements. Relative bond prices can be negatively correlated with the terms of trade.     

The Fiscal and Monetary Linkage between Stock Returns and Inflation

Contrary to economic theory and common sense, stock returns are negatively related to both expected and unexpected inflation. We argue that this puzzling empirical phenomenon does not indicate causality. Instead, stock returns are negatively related to contemporaneous changes in expected inflation because they signal a chain of events which results in a higher rate of monetary expansion. Exogenous shocks in real output, signalled by the stock market, induce changes in tax revenue, in the deficit, in Treasury borrowing and in Federal Reserve “monetization” of the increased debt. Rational bond and stock market investors realize this will happen. They adjust prices (and interest rates) accordingly and without delay. Although expected inflation seems to have a negative effect on subsequent stock returns, this could be an empirical illusion, since a spurious causality is induced by a combination of: (a) a reversed adaptive inflation expectations model and (b) a reversed money growth/stock returns model. If the real interest rate is not a constant, using nominal interest proxies for expected inflation is dangerous, since small changes in real rates can cause large and opposite percentage changes in stock prices.     

The effect of real rates of interest on housing prices

During the late 1970s, U.S. house prices were appreciating rapidly even though mortgage interest rates were climbing. Recently, interest rates have eased but prices have moderated. This study examines the role of appreciation expectations in overcoming the negative effects of nominal mortgage interest rates on house prices. Expectations of future appreciation are important determinants of house sales prices, remaining influential during periods of declining and moderating real prices, not just when prices are rising. The real rate of interest, as viewed by the homebuyer, is the mechanism for affecting change in housing price levels. Because the nominal interest rate is slow to reflect changes in expectations, these real rates vary over time. This ebb and flow of real interest rates appears to explain market price levels. Nominal rates play a role as well, primarily in the formation of appreciation expectations.     

The Response of Equity Prices to Movements in Long‐Term Interest Rates Associated with Monetary Policy Statements: Before and After the Zero Lower Bound

Monetary policy actions since 2008 have influenced long‐term interest rates through forward guidance and quantitative easing. I propose a strategy to identify the comovement between interest rate and equity price movements induced by monetary policy when an observable representing policy changes is not available. A decline in long‐term interest rates induced by monetary policy statements has a larger positive effect on equity prices prior to 2009 than in the subsequent period. This change appears to reflect the impact of the zero lower bound on short‐term interest rates.     

OccBin: A toolkit for solving dynamic models with occasionally binding constraints easily

The toolkit adapts a first-order perturbation approach and applies it in a piecewise fashion to solve dynamic models with occasionally binding constraints. Our examples include a real business cycle model with a constraint on the level of investment and a New Keynesian model subject to the zero lower bound on nominal interest rates. Compared with a high-quality numerical solution, the piecewise linear perturbation method can adequately capture key properties of the models we consider. A key advantage of the piecewise linear perturbation method is its applicability to models with a large number of state variables.     

Real Interest Rates and Inflation: An Ex-Ante Empirical Analysis

We develop a method of measuring ex-ante real interest rates using prices of index and nominal bonds. Employing this method and newly available data, we directly test the Fisher hypothesis that the real rate of interest is independent of inflation expectations. We find a negative correlation between ex-ante real interest rates and expected inflation. This contradicts the Fisher hypothesis but is consistent with the theories of Mundell and Tobin, Darby and Feldstein, and Stulz. We also find that nominal interest rates include an inflation risk premium that is positively related to a proxy for inflation uncertainty.     

Is the Real Interest Rate Stable?

Univariate time-series models for consumption, nominal interest rates, and prices each appear to have a single unit root before 1979. If nominal interest rates have a unit root but inflation and inflation forecast errors do not, then ex ante real interest rates have a unit root and are therefore nonstationary. This deduction does not depend on the properties of the unobservable ex post observed real return, which combines the ex ante real interest rate and inflation-forecasting errors. The unit-root characteristic of real interest rates is puzzling from at least two perspectives: many models imply that the growth rate of consumption and the real interest rate should have similar time-series characteristics; also, nominal returns for other assets (e.g., stocks and bonds) appear to have different times-series properties from those of treasury bills.     

Optimal Monetary and Fiscal Policy with a Zero Bound on Nominal Interest Rates

I characterize optimal monetary and fiscal policy in a stochastic New Keynesian model when nominal interest rates may occasionally hit the zero lower bound. The benevolent policymaker controls the short‐term nominal interest rate and the level of government spending. Under discretionary policy, accounting for fiscal stabilization policy eliminates to a large extent the welfare losses associated with the presence of the zero bound. Under commitment, the gains associated with the use of the fiscal policy tool remain modest, even though fiscal stabilization policy is part of the optimal policy mix.     

THE BEHAVIOR OF U.S. SHORT-TERM INTEREST RATES SINCE OCTOBER 1979

Short-term interest rates in the United States have been “too high” since October 1979 in the sense that both unconditional and conditional forecasts, based on an estimated vector autoregression model summarizing the prior experience, underpredict short-term interest rates during this period. Although a nonstructural model cannot directly answer the question of why this has been so, comparisons of alternative conditional forecasts point to the post-October 1979 relationship between the growth of real income and the growth of real money balances as closely connected to the level and pattern of short-term interest rates. This finding is consistent with the authors' earlier conclusion, based on analysis of a small structural macroeconometric model, that the high average level of interest rates has been due to a combination of slow growth of (nominal) money supply and continuing price inflation, which together have kept real balances small in relation to prevailing levels of economic activity.     

Inflation,Taxation, and Interest Rates

This paper demonstrates that the response of nominal interest rates to changes in inflationary expectations should lie between that predicted by the “Fisher” and “Darby” effects. The exact nature of the response will depend on the relative size of the income and capital gains tax rates, and the relative size of the derivatives of investment and savings to their respective after-tax real rates. The other major conclusion of this paper is that capital gains taxation offsets the negative effect on investment produced by treating depreciation on a historic rather than a replacement cost basis.     

The Term Structure of Real Rates and Expected Inflation

Changes in nominal interest rates must be due to either movements in real interest rates, expected inflation, or the inflation risk premium. We develop a term structure model with regime switches, time‐varying prices of risk, and inflation to identify these components of the nominal yield curve. We find that the unconditional real rate curve in the United States is fairly flat around 1.3%. In one real rate regime, the real term structure is steeply downward sloping. An inflation risk premium that increases with maturity fully accounts for the generally upward sloping nominal term structure.