Prices are sticky after all

Economists have interpreted the evidence that prices change every four months as implying that sticky prices cannot be important for monetary transmission. Theory implies that this interpretation is correct if most price changes are regular, but not if a large fraction are temporary, as in the data. Since regular prices are much stickier than temporary ones, our models predict that the stickiness of the aggregate price level matches that in a standard Calvo model or a standard menu cost model in which micro-level prices change about once a year. In this sense, prices are sticky after all.     

Sticky information and sticky prices

In the U.S. and Europe, prices change at least once a year. Yet nominal macro shocks seem to have real effects lasting well beyond a year. “Sticky information” models, as posited by Mankiw and Reis [2002. Sticky information versus sticky prices: a proposal to replace the new Keynesian Phillips curve. Quarterly Journal of Economics 117, 1295–1328], Sims [2003. Implications of rational inattention. Journal of Monetary Economics 50(3), 665–690], and Woodford [2003. Princeton University Press: Princeton, NJ], can reconcile micro flexibility with macro rigidity. We simulate a sticky information model in which price setters update information on macro shocks less frequently than information on micro shocks. We then examine price changes in the micro data underlying the U.S. CPI. Empirical price changes react to old information, just as sticky information models predict.     

股票投资的粘性预期及其模型分析

对股票市场投资预测模式的研究是股市基础研究的一项重要工作。本对股票投资粘性预期的模型分析表明，在信息不完全的情况下，投资的预期具有粘性和突变性双重特征，体现出多逻辑不确定性的特点。同时，基本面信息和技术面信息的增多都有助于粘性预期向理性预期接近，但两类信息的作用不完全一致，具有某种非线性的代偿关系。     

Stickiness of Rental Rates and Developers’ Option Exercise Strategies

In this study we incorporate sticky rents into a real options model to rationalize the widely documented overbuilding puzzle in real estate markets. Given the assumption that developers’ objective function is to maximize total revenue by selecting an optimal occupancy level, our model provides a better explanation of the phenomena we observed in the real world than the traditional market-clearance based real options models. We also show that developers’ exercise strategies can be affected by the size and the type of property markets. In other words, developers’ exercise strategies could differ among markets and under different conditions. Submitted to Cambridge—Maastricht 2005 Symposium.     

Optimal fiscal and monetary policy with sticky prices

In this paper I consider the role of state-contingent inflation as a fiscal shock absorber in an economy with nominal rigidities. I study the Ramsey equilibrium in a monetary model with distortionary taxation, nominal non-state-contingent debt, and sticky prices. With sticky prices, the Ramsey planner must balance the shock absorbing benefits of state-contingent inflation against the associated resource misallocation costs. For government spending processes resembling post-war experience, introducing sticky prices generates striking departures in optimal policy from the case with flexible prices. For even small degrees of price rigidity, optimal policy displays very little volatility in inflation. Tax rates display greater volatility compared to the model with flexible prices. With sticky prices, tax rates and real government debt exhibit behavior similar to a random walk. For government spending processes resembling periods of intermittent war and peace, optimal policy displays extreme inflation volatility even when the degree of price rigidity is large. As the variability in government spending increases, smoothing tax distortions across states of nature becomes increasingly important, and the shock absorber role of inflation is accentuated.     

Lumpy investment,sticky prices,and the monetary transmission mechanism

Smoothness in aggregate capital accumulation is a necessary condition for New-Keynesian (NK) models to imply a quantitatively relevant monetary transmission mechanism (see, e.g., [Woodford, 2005. Firm-specific capital and the new Keynesian Phillips curve. International Journal of Central Banking 2, 1–46]). Can that aggregate smoothness be entertained in the context of an NK model featuring lumpy plant-level investment? Our answer is yes. Imperfect competition in goods markets and/or sticky prices are identified as economic mechanisms which render lumpy investment relevant in general equilibrium.     

Is the sticky price assumption reasonable for exchange rate models?

The testable implications of sticky price exchange rate models are discussed. The empirical examples suggest that the predetermined or sticky price assumption employed in recent asset models of exchange rate determination appears to be appropriate for Germany, Japan, the United States, and the United Kingdom.     

A positive interest rate model with sticky barrier

This paper proposes an efficient model for the term structure of interest rates when the interest rate takes very small values. We make the following choices: (i) we model the short-term interest rate, (ii) we assume that once the interest rate reaches zero, it stays there and we have to wait for a random time until the rate is reinitialized to a (possibly random) strictly positive value. This setting ensures that all term rates are strictly positive.

Our objective is to provide a simple method to price zero-coupon bonds. A basic statistical study of the data at hand indeed suggests a switch to a different mode of behaviour when we get to a low level of interest rates. We introduce a variable for the time already spent at 0 (during the last stay) and derive the pricing equation for the bond. We then solve this partial integro-differential equation (PIDE) on its entire domain using a finite difference method (Cranck–Nicholson scheme), a method of characteristics and a fixed point algorithm. Resulting yield curves can exhibit many different shapes, including the S shape observed on the recent Japanese market.     

产业集群知识网络中粘滞知识的转移机理研究

粘滞知识在产业集群知识网络中的转移对于知识流动的效果有着极大的影响,决定着产业集群中技术创新能力的提升和产业集群结构优化与升级.本文分析产业集群知识网络的立体结构,剖析了产业集群的内部和外部知识网络中各节点的联系,探讨了知识在该立体结构中各个层次的企业、集群中的高校、科研机构以及政府部门等各节点之间的流动,从点、线、面、体的角度对产业集群知识网络中的粘滞知识流动进行分析,在此基础上得出结论,以期促进我国产业集群知识网络粘滞知识的转移.     

Sticky cost behaviour: evidence from small and medium sized companies

This paper investigates whether cost stickiness occurs in small and medium sized companies using a sample of Italian nonlisted and listed firms during the period 1999–2008. Our findings show that cost stickiness emerges only for the total cost of labour and not for selling, general and administrative (SG&A) costs, cost of goods sold and operating costs. Stickiness of operating costs is only detected in a sample of listed companies. We further contribute to the literature on sticky cost behaviour by discussing critical issues associated with the extant approach of empirical analysis and interpretation of sticky cost behaviour.     

O comportamento dos custos das empresas brasileiras listadas na BM&FBOVESPA entre 1994 e 2011 com ênfase nos sticky costs

By an accurate survey, this study aims to analyze how costs behave brazilian companies listed on the BM&FBOVESPA between years of 1994 and 2011. In order to do this, diverse economic and financial information available in the form of reports was gathered, but which has not yet gone through any statistical analysis, for a longitudinal analysis that includes a period of 18 years. The results are presented in two axes, in which the first one indicates costs behavioral tendencies and the second one analyzes their symmetry. The results showed that the Cost of Goods Sold (CPV, for Portuguese) presents a strong declining trend; Expenses Sales are directly related to the area (essential goods or monopoly, for example); Administrative Expenses have a slight declining trend. In relation to sticky costs, when performing an overview with the companies studied, the theory proposed by Anderson, Banker and Janakiraman (2003) is partially applied, since, for varying levels of revenue up to 10% the asymmetry is confirmed.     

On the employment effects of productivity shocks: The role of inventories, demand elasticity, and sticky prices

Whether technological progress raises or lowers employment in the short run has been the subject of much debate in the recent years. We show that cross-industry differences in inventory holding costs, demand elasticities, and price rigidities potentially all affect employment decisions in the face of productivity shocks. In particular, the employment response to a permanent productivity shock is more likely to be positive the less costly it is to hold inventories, the more elastic industry demand is, and the more flexible prices are. Using data on 458 4-digit U.S. manufacturing industries over the period 1958-1996, we find statistically significant effects of variations in inventory holdings and demand elasticities on short-run employment responses, but less conclusive evidence pertaining to the effects of measured price stickiness.     

Learning minimum variance discrete hedging directly from the market

Option hedging is a critical risk management problem in finance. In the Black–Scholes model, it has been recognized that computing a hedging position from the sensitivity of the calibrated model option value function is inadequate in minimizing variance of the option hedge risk, as it fails to capture the model parameter dependence on the underlying price (see e.g. Coleman et al., J. Risk, 2001, 5(6), 63–89; Hull and White, J. Bank. Finance, 2017, 82, 180–190). In this paper, we demonstrate that this issue can exist generally when determining hedging position from the sensitivity of the option function, either calibrated from a parametric model from current option prices or estimated nonparametricaly from historical option prices. Consequently, the sensitivity of the estimated model option function typically does not minimize variance of the hedge risk, even instantaneously. We propose a data-driven approach to directly learn a hedging function from the market data by minimizing variance of the local hedge risk. Using the S&P 500 index daily option data for more than a decade ending in August 2015, we show that the proposed method outperforms the parametric minimum variance hedging method proposed in Hull and White [J. Bank. Finance, 2017, 82, 180–190], as well as minimum variance hedging corrective techniques based on stochastic volatility or local volatility models. Furthermore, we show that the proposed approach achieves significant gain over the implied BS delta hedging for weekly and monthly hedging.     

Mussa redux and conditional PPP

The extreme persistence of real exchange rates found commonly in post-Bretton Woods data does not hold in the preceding fixed exchange rate period, when the half-life was roughly half as large in our sample. This finding supports sticky price models as an explanation for real exchange rate behavior, extending the classic argument of Mussa (1986) from a focus on short-run volatility to long-run dynamics. Two thirds of the rise in real exchange rate variance observed across exchange rate regimes is attributable to greater persistence of responses to shocks, including greater price stickiness, rather than to greater variance of shocks themselves.     

Valuation of forward start options under affine jump-diffusion models

Under the general affine jump-diffusion framework of Duffie et al. [Econometrica, 2000, 68, 1343–1376], this paper proposes an alternative pricing methodology for European-style forward start options that does not require any parallel optimization routine to ensure square integrability. Therefore, the proposed methodology is shown to possess a better accuracy–efficiency trade-off than the usual and more general approach initiated by Hong [Forward Smile and Derivative Pricing. Working paper, UBS, 2004] that is based on the knowledge of the forward characteristic function. Explicit pricing solutions are also offered under the nested jump-diffusion setting proposed by Bakshi et al. [J. Finance, 1997, 52, 2003–2049], which accommodates stochastic volatility and stochastic interest rates, and different integration schemes are numerically tested.     

货币替代和反替代对我国货币政策独立性的影响

货币替代和反替代会通过多种渠道影响一国货币政策的独立性。我国当前同时存在着货币替代和货币反替代,其中货币替代的程度在不断下降,而货币反替代的程度则不断增强。通过构建包含货币替代和货币反替代的粘性价格货币模型,本文运用回归方法检验了货币替代和货币反替代对我国货币政策独立性的影响程度。结论是,货币替代和货币反替代都会影响到我国的货币供给,进而会降低我国货币政策的独立性,但货币替代的影响更加强烈。     

No-arbitrage bounds for the forward smile given marginals

We explore the robust replication of forward-start straddles given quoted (Call and Put options) market data. One approach to this problem classically follows semi-infinite linear programming arguments, and we propose a discretisation scheme to reduce its dimensionality and hence its complexity. Alternatively, one can consider the dual problem, consisting in finding optimal martingale measures under which the upper and the lower bounds are attained. Semi-analytical solutions to this dual problem were proposed by Hobson and Klimmek [Financ. Stochastics, 2015, 19, 189–214] and by Hobson and Neuberger [Math. Financ., 2012, 22, 31–56]. We recast this dual approach as a finite-dimensional linear program, and reconcile numerically, in the Black–Scholes and in the Heston model, the two approaches.     

Maximizing survival,growth and goal reaching under borrowing constraints

In this paper, we consider the survival, growth and goal reaching maximization problems treated in Browne [Math. Oper. Res., 1997, 22, 468–493] and solve them in a market constrained due to borrowing prohibition. To solve the problems, we first construct an auxiliary market introduced by Cvitanic and Karatzas [Ann. Appl. Probab., 1992, 2, 767–818] and then apply the dynamic programming approach. Via our solutions, an alternative approach is introduced in order to solve the problems defined under an auxiliary market.     

Pricing methods for α-quantile and perpetual early exercise options based on Spitzer identities

We present new numerical schemes for pricing perpetual Bermudan and American options as well as α-quantile options. This includes a new direct calculation of the optimal exercise boundary for early-exercise options. Our approach is based on the Spitzer identities for general Lévy processes and on the Wiener–Hopf method. Our direct calculation of the price of α-quantile options combines for the first time the Dassios–Port–Wendel identity and the Spitzer identities for the extrema of processes. Our results show that the new pricing methods provide excellent error convergence with respect to computational time when implemented with a range of Lévy processes.     

UK Evidence on the Characteristics versus Covariance Debate

We evaluate the Fama–French three‐factor model in the UK using the approach of Daniel and Titman (1997) to determine whether characteristics or covariance risk better explains the size and value premiums. Across all three factors, we find that return premiums bear little relationship to the corresponding loadings. We show that small and value stocks earn higher returns irrespective of their return covariance. Our study contributes to the existing literature by reporting original findings on the Fama–French three‐factor model in the UK and by reporting results that complement existing evidence from similar studies in the USA and Japan.