Standard errors for the Laspeyres index number with autocorrelated error models

This paper deals with the stochastic approach to Laspeyres price index number with the assumption of serial correlation of orders 1 and 2. The first round of estimation provides the estimates of Laspeyres index numbers in the presence of serial correlation assuming that variance is independent of time. In the second round of estimation, we use the weighted least square approach to derive the standard errors of Laspeyres index number assuming variance is dependent on time. These standard errors are linked to the variability of relative prices and are simple to evaluate. It shows that the larger index numbers are expected to estimate with less degree of precision. The results are illustrated with price data of Pakistan.     

A Class of Multiplicative Estimators of Laspeyres Price Indexes

Publication of indexes measuring changes in prices of retail, wholesale, export, and import items is an important part of many governmental statistics programs. One form of price index that is often used is the fixed-base Laspeyres, in which a fixed market basket of goods is priced over time. This article introduces a new class of multiplicative estimators of Laspeyres indexes. The optimum within the class is derived for long-term price change and compared with two other members of the class when used for estimating both long-term and short-term change. Theoretical properties are derived under a model in which long-term relative price changes for individual items have common within-stratum means and are correlated over time. Theory for long-term and short-term change estimators is tested in a simulation study in which a large number of stratified probability samples is selected from a population extracted from items priced for the U.S. consumer price index.     

关于物价综合指数性质的探析

通过对拉氏和帕氏物价指数的讨论，明确了物价综合指数之间的相互关系和物价综合指数的数学性质，找到了物价综合指数的变化特点。在保持原有指数特性的前提下，提出了新的综合指数改进方案，并对其进行了检验。检验表明，新的综合指数方案计算简便，能够准确地反映物量和价格的变化，并且误差较小。     

Proposition of a General Formula for Price Indices

In this article, we propose a general formula for aggregative price indices that satisfies most postulates coming from the axiomatic price index theory. We show that the ideal Fisher index, Laspeyres and Paasche formulas, and a lot of other indices are particular cases of the proposed formula. Moreover, using the general formula we can easily define new indices, that would satisfy given postulates. We also present an interesting result for the proposed formula.     

Using Scanner Data to Construct CP1 Basic Component Indexes

This article considers how scanner data could be used in constructing component indexes for the U.S. Consumer Price Index. One product, coffee, in two cities generates over 1.8 million observations in just over two years, so coping with the sheer volume of data would be a challenge. Some other findings are (1) some aggregation of prices into “unit-value” averages is necessary for practical reasons and to avoid bias, (2) chained Laspeyres indexes are very high, (3) “modified” Laspeyres indexes have some upward bias but much less than a true Laspeyres index, (4) Fisher ideal or modified Edgeworth indexes perform well, and (5) aggregating prices across outlets to form city-level unit values reduces the discrepancies between index-number formulas.     

Measuring price-induced changes in standard of living in least developed countries: economic validity of laspeyres price indices and some further suggestions

Usually, also in developing countries, price-induced changes in standard of living are measured by means of Laspeyres price indices. Looking at the special economic situation characterizing least developed countries, the economic validit of such indices is doubtful. The main theoretical results of this paper are derived on the basis of a special utility concept which may be considered typical for least developed countries. It is shown that, under certain conditions, a Laspeyres price index over- or underestimates respectively changes in standard of living. Furthermore, it does not sufficiently evaluate households’ supply positions. These theoretical results are motivated and illustrated by a special least developed country, the Republic of Niger. The paper closes with some further suggestions for measuring changes in standard of living in developing countries.     

Approximation of the Fisher price index by using Lowe,Young, and AG Mean indices

The Consumer Price Index (CPI) approximates changes in the costs of household consumption assuming the constant utility (COLI, Cost of Living Index). In practice, the Laspeyres price index is used to measure the CPI despite the fact that many economists consider the superlative indices to be the best approximation of COLI. The Fisher index is one of the superlative indices and additionally it satisfies most of tests from the axiomatic price index theory. Nevertheless, the Fisher price index makes use of current-period expenditure data and its usefulness in CPI measurement is limited. In this article, we verify the utility of using the Lowe, Young, and AG Mean indices for Fisher price index approximation. We confirm this utility in a simulation study and we provide an empirical proof.     

消费者偏好与真实生活成本

本文在消费者偏好结构可变的假设下,探讨了1998-2012年我国消费者真实生活成本。研究表明忽视消费者偏好结构的变化通常会高估消费者真实生活成本水平和增长幅度,而这种替代偏误的程度取决于基期的选择。基于这种研究发现,政府有关部门在使用消费者物价指数制定相关政策（尤其是福利政策）时,本文研究的非参数型真实生活成本指数 可能比一般的拉氏物价指数更为合适。因此,建议统计部门在使用拉氏价格指数统计消费者物价水平的同时,应该定期编制和公布 指数。     

Bootstrapping a hedonic price index: experience from used cars data

Every hedonic price index is an estimate of an unknown economic parameter. It depends, in practice, on one or more random samples of prices and characteristics of a certain good. Bootstrap resampling methods provide a tool for quantifying sampling errors. Following some general reflections on hedonic elementary price indices, this paper proposes a case-based, a model-based, and a wild bootstrap approach for estimating confidence intervals for hedonic price indices. Empirical results are obtained for a data set on used cars in Switzerland. A simple and an enhanced adaptive semi-logarithmic model are fit to monthly samples, and bootstrap confidence intervals are estimated for Jevons-type hedonic elementary price indices.     

Estimation of Laspeyres Price Indexes Using the Prediction Approach for Finite Population Sampling

Estimators of chain and fixed-base Laspeyres price indexes are studied using the prediction approach to finite population sampling. The estimators include some that are based on those used in several U.S. government index programs and others derived from prediction models. Biases and variances of the estimators are studied for a case in which the reference period index weights are unknown for nonsample items. Under a model for a one-period price change in which items have common within-stratum means, unbiased estimators can be constructed, but under a more general regression model, special sample balance conditions are needed for unbiasedness of those estimators. The theory for the estimators of fixed-base indexes is illustrated in an empirical study using a population of items priced for the U.S. Consumer Price Index.     

Bounds for the expected value of the stochastic Divisia's price index

In this article, we estimate bounds for the expected value of the stochastic Divisia's price index, that is, we assume that prices and quantities of the given commodities are stochastic processes with continuous time. We consider some special case of the stochastic model in which prices and quantities are described by the geometric Brownian motion. It is shown that the precision of this estimation depends rather on the volatility of prices than quantities volatilities.     

信心如何影响中国通货膨胀

在Galí and Gertler（1999）的基础上,本文通过假设成本加成定价幅度是信心的函数,构造了基于信心的新凯恩斯菲利普斯曲线,并通过VAR模型和BVAR模型实证研究了信心是否能够影响中国通货膨胀。研究发现,企业家信心指数能够影响中国通胀,而消费者信心指数无法影响中国通胀;企业家信心指数对通货膨胀的影响机制类似于总需求冲击影响机制;VAR模型和BVAR模型的结论基本一致,这证实了本文结论的稳健性。     

中国粮价与通货膨胀关系的协整分析：2001-2005

文章利用2001~2005年CPI和批发粮价的月度数据进行协整分析,并构建均衡修正模型,实证检验了二者的关系。实证结果说明无论长短期通货膨胀对粮价都具有Granger因果关系,验证了通货膨胀通过改变粮食市场参与主体的预期影响粮价的假说;在长期粮价对通货膨胀具有Granger因果关系,粮价长期高位运行会导致通货膨胀,但在短期内粮价对通货膨胀的影响较弱,不支持粮价上涨短期内即会引发通货膨胀的观点。     

住房价格与中国货币政策规则

 住房价格高涨背景下我国货币政策的操作一直以来颇受关注。本文构建含有房产的动态随机一般均衡模型,对我国货币政策规则是否关注住房价格进行了检验。此外,本文通过数值模拟比较了将房价纳入货币政策规则与否对宏观经济波动所产生的影响。本文的主要结论有：央行在2003-2010年的实际操作中已将住房价格波动纳入修订泰勒规则中;将住房价格波动纳入货币政策规则对调控房价上涨有较好效果,但代价是调控过程中通胀率的持续上升,以及产出水平和家庭消费负向偏离稳态;家庭住房贷款首付比例能够有效降低稳态水平下的住房价格。     

The True Cost-of-Living Index With Changing Preferences

This article investigates the theoretical and empirical properties of a true cost-of-living index under conditions of changing preferences. A family of true indexes is defined based on the notion of the current utility function. A particular index, based on the previous period's utility level, is then defined. Given this definition, a true cost-of-living index is computed based on a quadratic expenditure system estimated with quarterly data from 1960–1981. For empirical purposes, changes in preferences are represented by the linear habit formation hypothesis. This index is then compared with Paasche and Laspeyres indexes. The true cost-of-living index grows somewhat faster than either the Paasche or Laspeyres index. It also displays considerably more variability.     

人民币汇率变动对国内价格水平的传递效应

 本文运用长期约束的结构VAR,试图从一个崭新的视角实证考察人民币名义有效汇率对我国价格水平的传递效应。文章特点在于考虑了汇率和价格可能都是受各种宏观经济因素影响的内生变量,以深入揭示两者之间的内在关系。研究发现,（1）当发生汇率冲击时,人民币名义有效汇率对国内各价格水平的传递是不完全的。汇率变动对进口价格的影响强于对消费者价格的影响;（2）而一旦考虑了经济体受到其它类型的宏观经济冲击后,估计的人民币汇率价格传递率则显得更为明显;（3）汇改后我国汇率传递效应趋于强化。本文还分析了实证结果背后可能的深层次原因,并讨论相应的政策启示。     

住房价格、土地价格与地方政府行为

本文基于中国35个大中城市2005至2015年的面板数据,通过构建具有“空间依赖”性质的房价地价空间面板联立方程模型,深入研究房价与地价关系、地方政府行为对房价和地价的作用机制以及城际间的相互作用。研究表明,临近城市间的房价相互“模仿”并一同推动地价上涨,房价对地价的影响呈现“模仿促进”的作用特征;各城市通过尽可能抬高本地地价来拉大与临近城市地价水平的差距,进而推高房价,实现“以地生财”。此外,研究还证实地方政府通过“价格途径”和“政策途径”均能对房价进行有效调控,且“价格途径”具有一定的传染性;而“数量途径”和“结构途径”作为地方政府控制地价的有效手段,具有较强的溢出效应。     

国际粮食价格与能源价格的关联性——基于VECM和DCC-MGARCH模型的实证分析

使用VECM和DCC-MGARCH模型分析了国际粮食价格与能源价格间的关联性。两者的关联性主要体现在价格水平间和价格波动间的关系上。在价格水平方面,长期内,国际能源价格对粮食价格具有显著正向影响;短期内,误差修正项对短期波动偏离长期均衡的调整在总体粮食价格以及小麦价格的回归方程中作用显著。总体粮食价格对能源价格的长期影响显著,但误差修正项的短期调整作用不明显,在各类粮食价格对石油价格短期影响中,误差修正项起到显著调整作用。在价格波动方面,总体粮食价格波动与石油价格波动间存在显著正向相关关系,在具体某一类粮食中,除稻米外,小麦、玉米、大豆市场价格波动都与石油价格波动存在显著正向相关关系。     

美元流动性、国际大宗商品价格与上证指数的关联性分析

在世界经济增长共生模式下,美元流动性、国际大宗商品价格与上证指数之间具有联动结构。数据分析表明：国际大宗商品价格指数对上证指数具有长期的影响力,美元流动性对上证指数具有间接的影响力。因此,对上证指数的预测应从国内流动性和经济增长周期二维分析框架推广到广义的全球性框架中。     

北京市城镇居民购房需求综合指数编制研究

 为了解当前经济环境中,北京市城镇居民的住房情况、购房意愿、还贷压力以及对房价的判断和预期,我们设计了北京市城镇居民购房需求调查问卷,该项调查可以作为房地产市场中需求方信息的补充。根据问卷调查结果我们编制了北京市居民购房需求指数,进而构造了北京市居民购房需求先行合成指数,该指数领先新建商品住房价格指数2个季度。