Life with habit and expectation: A new explanation of equity premium puzzle

Previous writers have attempted to resolve the equity premium puzzle by employing a utility function that depends on current consumption minus (or relative to) past habit consumption. This paper points out that an individual's current utility may also depend upon how well off in the recent past he or she had expected to be today. Hence we add the concept “expectation formation” to the utility modification term in a model with a habit‐formation utility function. We apply the model to the equity premium puzzle and find that it is able to fit the data with a relatively low coefficient of relative risk aversion. Furthermore, we introduce an updated data sample and apply different values of discounting factors, and find that in all circumstances, the model is able to generate coefficients of risk aversion that are consistent with theory. Hence we conclude that the model is able to resolve the equity premium puzzle.     

Knightian uncertainty and poverty trap in a model of economic growth

This paper explores how Knightian uncertainty affects dynamic properties in an economic growth model. The decision-making theory employed in the analysis is the theory of expected utility under a non-additive probability measure, i.e., the Choquet expected utility model of preference. We apply this decision-making theory to an overlapping generations model where producers face “uncertainty” in their technologies. When the producer is averse to uncertainty, the firm's profit function may not be differentiable. Therefore, the firm's decision to invest and hire labor becomes rigid for a certain measurable range of real interest rates. In dynamic equilibrium, the existence of firm-level rigidity causes discontinuity in the wage function; this makes multiple equilibria the more likely outcomes under the log utility and Cobb–Douglas production functions. In this paper, we show that even if aversion to uncertainty is small, the “poverty trap” can arise for a wide range of parameter values.     

Nominal term structure and term premia: evidence from Chile

The downwards trend exhibited in Chile’s nominal term structure since 2003 has been a common pattern shared by other developed and developing economies. To understand the behaviour of the nominal yield curve in Chile, we rely on an affine dynamic term structure model which allows the term structure to decompose into the expected short-term interest rate (related to the monetary policy expectation) and the term premium. We show that most of the fall of long-term interest rates as well as its dynamics are related to the term premium rather than the expected short-term interest rate. Moreover, we find evidence that term premium is driven primarily by the US term premium and domestic nominal uncertainty derived from expected inflation.     

Yield Curve and Financial Uncertainty: Evidence Based on US Data

How do short‐ and long‐term interest rates respond to a jump in financial uncertainty? We address this question by conducting a local projections analysis with US monthly data, period: 1962–2018. The state‐of‐the‐art financial uncertainty measure proposed by Ludvigson, Ma and Ng (2019) is found to predict movements in interest rates at different maturities. In particular, an increase in financial uncertainty is found to trigger a negative and significant response of both short‐ and long‐term interest rates. The response of the short end of the yield curve (i.e., of short‐term interest rates) is found to be stronger than that of the long end (i.e., of long‐term ones). In other words, a financial uncertainty shock causes a temporary steepening of the yield curve. This result is consistent, among other interpretations, with medium‐term expectations of a recovery in real activity after a financial uncertainty shock.     

A dynamic Nelson-Siegel yield curve model with Markov switching

This paper proposes a model to better capture persistent regime changes in the interest rates of the US term structure. While the previous literature on this matter proposes that regime changes in the term structure are due to persistent changes in the conditional mean and volatility of interest rates we find that changes in a single parameter that determines the factor loadings of the model better captures regime changes. We show that this model gives superior in-sample forecasting performance as compared to a baseline model and a volatility-switching model. In general, we find compelling evidence that the extracted factors from our term structure models are closely related with various economic variables. Furthermore, we investigate and find evidence that the effects of macroeconomic phenomena such as monetary policy, inflation expectations, and real economic activity differ according to the particular regime realized for the term structure. In particular, we identify the periods where monetary policy appears to have a greater effect on the yield curve, and the periods where inflation expectations seem to have a greater effect in yield determination. We also find convincing evidence of a relationship between the regimes estimated by the various switching models with economic activity and monetary policy.     

Loss aversion in aggregate macroeconomic time series

Prospect theory has been the focus of increasing attention in many fields of economics. However, it has scarcely been addressed in macroeconomic growth models—neither on theoretical nor on empirical grounds. In this paper we use prospect theory in a stochastic optimal growth model. Thereafter, the focus lies on linking the Euler equation obtained from a prospect theory growth model of this kind to real macroeconomic data. We will use generalized method of moments (GMM) estimation to test the implications of such a non-linear prospect utility Euler equation. Our results indicate that loss aversion can be traced in aggregate macroeconomic time series.     

Measuring the natural yield curve

We generalize the concept of the natural rate of interest (Laubach and Williams, 2003; Woodford, 2003) by defining and estimating the natural yield curve (NYC) – the term structure of natural interest rates. Our motivation stems i.a. from the observation that at times when central banks attempt to directly affect long-term interest rates (e.g. via quantitative easing) the gap between the short-term real and natural rate is no more a good indicator of the monetary policy stance. We estimate the NYC on US data, document its main properties and show i.a. that in the period 2008 to 2011 the NYC allows to better capture the US monetary policy stance than the short-term natural rate.     

利率期限结构与宏观经济因素的动态相依性——基于VAR模型的经验研究

利率期限结构的变化受到各种宏观经济冲击的影响,宏观经济冲击通过利率期限结构的变化影响到资产收益曲线。文章通过估计和检验结构VAR模型,发现货币冲击、供给冲击和价格冲击都对短期利率产生了持续显著的影响,而对长期利率则没有显著作用效果。宏观经济冲击只对收益曲线的截距参数具有显著影响,而对收益曲线的斜率参数和曲率参数的影响微弱。     

Yield Curve Inversion and the Incidence of Recession: A Dynamic IS-LM Model with Term Structure of Interest Rates

This paper attempts to explain why yield curve inversion may serve as a leading indicator of recessions. It employs an IS-LM model with the term structure of interest rates and provides a formal phase-diagram analysis of dynamic adjustment process. It demonstrates that the occurrence of yield curve inversion is an off-equilibrium phenomenon after an adverse shock in the adjustment process of interest rates and output, and that an inverted yield curve may lead, but does not lead to, a recession.     

Measures of potential output: an application to Israel

This paper reconsiders information in the US T-bill term structure for predicting movements in real monthly industrial production. It is shown that although T-bill spreads contain little or no predictive content, increases in term premia estimated from a GARCH-M model of the term structure do. Since these estimated premia are linear functions of the conditional variance of excess returns, the implication is that increases in interest rate variability are associated with reductions in industrial production. This evidence is robust to the inclusion of the spread between the 10-year Tbond yield and one-month-T-bill yields. The T-bill term structure therefore contains information which is independent of the long-end of the term structure.     

On the measurement of risk aversion from experimental data

Attitudes towards risk are measured for households in Northern Zambia using an experimental gambling approach with real payoffs that at maximum were equal to 30% of average total annual income per capita. The results of the experiment show decreasing absolute risk aversion and increasing partial risk aversion. Determinants of risk aversion are investigated using random effects interval regression model exploiting the panel data structure of the repeated experiments. Wealth indicator variables are found to be significant, and partial relative risk aversion decreases as wealth increases. Females are found to be more risk averse than males.     

Loss aversion

Loss aversion is traditionally defined in the context of lotteries over monetary payoffs. This paper extends the notion of loss aversion to a more general setup where outcomes (consequences) may not be measurable in monetary terms and people may have fuzzy preferences over lotteries, i.e., they may choose in a probabilistic manner. The implications of loss aversion are discussed for expected utility theory and rank-dependent utility theory as well as for popular models of probabilistic choice such as the constant error/tremble model and a strong utility model (that includes the Fechner model of random errors and Luce choice model as special cases).     

What is the Real Story for Interest Rate Volatility?

What is the source of interest rate volatility? Why do low interest rates precede business cycle booms? Most observers tend to assume that monetary policy is largely responsible for it. Indeed, a standard real business cycle model delivers rather small fluctuations in real interest rates. Here, however, we present two models of the real business cycle variety, in which the fluctuations of real rates are of similar magnitude as in the data, while simultaneously matching salient business cycle facts. The second model also replicates the cyclical behavior of real interest rates. The models build on recent work by Danthine and Donaldson, Jermann, and Boldrin, Christiano and Fisher. We assume that there are workers and capital owners. The first model posits habit formation and adjustment costs to the stock of capital. The second model assumes that it takes time to plan investment and time to build capital.     

Preservation of “more risk averse” under expectations

The preservation of risk aversion properties of utility functions under expectation operations is of interest in the study of derived utility functions in sequential decision problems and in problems with multiple (contemporaneous) sources of uncertainty. The purpose of this note is to present sufficient conditions for the Pratt relation “more risk averse” to be preserved under expectations.     

Monotone risk aversion

Summary. This paper defines decreasing absolute risk aversion in purely behavioral terms without any assumption of differentiability and shows that a strictly increasing and risk averse utility function with decreasing absolute risk aversion is necessarily differentiable with an absolutely continuous derivative. A risk averse utility function has decreasing absolute risk aversion if and only if it has a decreasing absolute risk aversion density, and if and only if the cumulative absolute risk aversion function is increasing and concave. This leads to a characterization of all such utility functions. Analogues of these results also hold for increasing absolute and for increasing and decreasing relative risk aversion.Received: 31 January 2003, Revised: 15 January 2004, JEL Classification Numbers: D81.The views, thoughts and opinions expressed in this paper are those of the author in his individual capacity and should not in any way be attributed to Morgan Stanley or to Lars Tyge Nielsen as a representative, officer, or employee of Morgan Stanley.     

Does Shariah compliance make interest rate sensitivity of Islamic equities lower? An industry level analysis under different market states

This paper examines the sensitivity of the Dow Jones Islamic market index and its corresponding industry equity indices to changes in the level, slope and curvature of the U.S. term structure of interest rates over the period 1996–2015 using the quantile regression approach. The empirical results reveal that the Islamic stock market has a considerable negative exposure to interest rate risk, although a declining time pattern of interest rate sensitivity is observed. The unexpected changes in the level factor of the U.S. yield curve, closely linked to long-term interest rates, are identified as the most important interest rate factor in explaining the variability of Islamic equity returns. Furthermore, the interest rate exposure tends to be stronger during extreme bearish conditions in the stock market, possibly due to the greater pessimism and risk aversion under these market circumstances. It is also shown that Islamic equities are not different from their mainstream counterparts in terms of interest rate sensitivity, indicating that the Islamic stock market does not provide a cushion against interest rate risk.     

Applications of an IS-MP Model with Yield Curve

This paper presents an IS-MP model with the term structure of interest rates (i.e., the yield curve) and discusses some of its applications to recent macroeconomic activities and policy issues. Specifically, the model is employed to explain (1) why a steepening yield curve may signal the subsequent economic expansion, (2) why long-term zero interest rate policy (ZIRP) may not completely avoid recessions, but disables the yield curve from being inverted to signal the following economic recession, (3) how Operation Twist (OT) may help ease the recession, in particular, under ZIRP, and what limit it may face.     

State prices,liquidity, and default

We show, in a monetary exchange economy, that asset prices in a complete markets general equilibrium are a function of the supply of liquidity by the Central Bank, through its effect on default and interest rates. Two agents trade goods and nominal assets to smooth consumption across periods and future states, in the presence of cash-in-advance financing costs that have effects on real allocations. We show that higher spot interest rates reduce trade and as a result increase state prices. Hence, states of nature with higher interest rates are also states of nature with higher risk-neutral probabilities. This result, which cannot be found in a Lucas-type representative agent model, implies that the yield curve is upward sloping in equilibrium, even when short-term interest rates are fairly stable and the variance of the (macroeconomic) stochastic discount factor is 0. The risk-premium in the term structure is, therefore, a monetary-cost risk premium.     

Loss aversion and the quantity–quality tradeoff

Firms face an optimization problem that requires a maximal quantity output given a quality constraint. But how do firms incentivize quantity and quality to meet these dual goals, and what role do behavioral factors, such as loss aversion, play in the tradeoffs workers face? We address these questions with a theoretical model and an experiment in which participants are paid for both quantity and quality of a real effort task. Consistent with basic economic theory, higher quality incentives encourage participants to shift their attention from quantity to quality. However, we also find that loss averse participants shift their attention from quality to quantity to a greater degree when quality is weakly incentivized. These results can inform managers of appropriate ways to structure contracts, and suggest benefits to personalizing contracts based on individual behavioral characteristics.     

Inflation and real short-term interest rates - A Kalman filter analysis of the term structure

This paper applies the Kalman filter technique to look at the relationship among real interest rates, inflation, and the term structure of interest rate under the expectations hypothesis. Using quarterly data from 1960:1 to 1991:1 for inflation, three month nominal short term interest rates and long term yields with maturities from one to five years, this paper finds that the expectations hypothesis of the term structure holds up well for the data under the assumptions of a time-varying premium and a random-walk real interest rate. In other words, a reconciliation of the expectations hypothesis with the data is attained by assuming time-varying term premium and non-stationary real interest rate.