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The '''[[random walk]] model of consumption''' was introduced by economist [[Robert Hall (economist)| Robert Hall]]  This model uses the [[Euler equation]] to model [[Consumption (economics) | consumption]]. He created his consumption theory in response to the [[Lucas critique]]. Using Euler equations to model the random walk of consumption has become the dominant approach to modeling consumption . <ref>Chao 2007.</ref>
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==Background==
Hall introduced his famous random walk model of consumption in 1978. <ref>Hall 1978.</ref> His approach is differentiated from earlier theories by the introduction of the [[Lucas critique]] to modeling consumption. He incorporated the idea of [[rational expectations]] into his consumption models and sets up the model so that consumers will maximize their utility.
 
==Model==
Consider a two-period case. The Euler equation for this model is
{{NumBlk|:|<math>E_{1}u'(c_{2})=\left(\frac{1 + \delta}{1 + r}\right) u'(c_{1})</math>|{{EquationRef|1}}}}
where <math>\delta</math> is the subjective time preference rate, <math>r</math> is the constant interest rate, and <math>E_{1}</math> is the conditional expectation at time period 1.<br />
 
Assuming that the utility function is quadratic and <math>\delta=r</math>, equation ({{EquationNote|1}}) will yield
{{NumBlk|:|<math>E_{1} c_{2} = c_{1}</math>|{{EquationRef|2}}}}
Applying the definition of expectations to equation ({{EquationNote|2}}) will give:
{{NumBlk|:|<math> c_{2} = c_{1}+\epsilon_{2}</math>|{{EquationRef|3}}}}
where <math>\epsilon_{2}</math> is the innovation term. Equation ({{EquationNote|3}}) suggests that consumption is a random walk because consumption is a function of only consumption from the previous period plus the innovation term.  
 
==Advantages==
Use of the Euler equations to estimate consumption appears to have advantages over traditional models. First, using Euler equations is simpler than conventional methods. This avoids the need to solve the consumer's optimization problem and is the most appealing element of using Euler equations to some economists. <ref>Attanasio & Low 2004.</ref>
 
==Criticisms==
Controversy has arisen over using Euler equations to model consumption. Applying the Euler consumption equations has trouble explaining empirical data.<ref>Molana 1991.</ref> Attempting to use to Euler equations to model consumption in the [[United States]] has led some to reject the random walk hypothesis.<ref>Jaeger 2001</ref> Some argue that this is due to the model's inability to uncover consumer preference variables such as the intertemporal elasticity of substitution.<ref>Carroll 2001</ref>
 
==Notes==
{{Reflist}}
 
==References==
*{{cite journal|last1=Attanasio|first1=Orazio|last2=Low|first2=Hamish|title=Estimating Euler Equations|journal=Review of Economic Dynamics||url=http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WWT-49WMWC1-1&_user=8105218&_coverDate=04%2F30%2F2004&_rdoc=1&_fmt=high&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000073467&_version=1&_urlVersion=0&_userid=8105218&md5=15b6fb5545831428342281c504838fa5|volume=7|pages=405–435|doi=10.1016/j.red.2003.09.003}}
*{{cite journal|last=Chao|first=Hsiang-Ke|title=A Structure of the Consumption Function|journal=Journal of Economic Methodology|volume=14|number=2|year=2007|pages=227–248}}
* {{cite journal|last=Carroll|first=Christopher D.|title=Death to the Log-Linearized Consumption Euler Equation! (And Very Poor Health to the Second-Order Approximation)|journal=Advances in Macroeconomics|volume=1|number=1|year=2001}}
* {{cite journal|last=Hall|first=Robert|authorlink=Robert Hall (economist)|title=Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence|journal=Journal of Political Economy|volume=86|number=6|year=1978|pages=971–987|jstor=1840393}}
*{{cite journal| last=Jaeger|first=Albert|title=Does Consumption Take a Random Walk?|journal=The Review of Economics and Statistics|volume=74|number=4|year=1992|pages=607–614}}
*{{cite journal|last=Molana|first=H.|title=The Time Series Consumption Function: Error Correction, Random Walk and the Steady-State|journal=The Economic Journal|volume=101|number=406|pages=382–403|year=1991|jstor=2233547}}
 
{{Consumption}}
 
[[Category:Macroeconomics]]

Latest revision as of 19:55, 1 January 2015

Style is what you reach be, not what all others affirms it ought to be. You happen to be your personal exclusive person, and you make a decision what's vital for you. Soon after investigating various recommendations, it's up to you to determine how you intend to appearance. Continue reading for many beneficial guiding suggestions.

For men with thinning hair, a modest amount of hair mousse might be extremely useful. Use it towards the hair from the origins on drenched or free of moisture your hair. The mousse will add some quantity, without the need of analyzing straight down your hair. It will also streamline design the hair, and assist workout it.

Though anything is very popular in vogue currently, do not use it if it will not compliment your body sort and/or private style. By way of example, individuals who are stored on the bulkier part must not dress in slender denim jeans. They are certainly not quite perfect so you will not appear stylish when you use them.

An excellent suggestion if you're attempting to enhance your style is always to relax around the emblem styles if you're interested in specific manufacturers. It appears goofy when you're constantly wearing a tee shirt using a major fat emblem on the front. Subtlety is vital in this article so you might want to sculpt it lower sometimes.

It is not necessarily very simple to use plaid, specially when you are planning to adopt a glance which is smoother than you ordinarily have. When you need to put on plaid, make certain you match it with an issue that is feminine like thin jeans or perhaps a travelling bag which has ruffles on it.

Attire for you variety. Spend some time to comprehend your design, and the way to use clothing to further improve your normal belongings. Women that realize how to work together with their body, instead of hiding it, are the ones men and women observe after they enter an area. Be happy with your shape, and deal with it to increase your style esteem.

An essential style idea is to ensure that your slacks are the proper duration. This is significant simply because getting trousers which can be too much time or quick could be a essential mistake in looking good. Make sure to policy for the kind of shoes or boots that you are wearing because it will make a huge variation.

The color of the skin need to figure out what shade clothing you need to dress in. In case you are quite light, stay away from shades that will make you show up paler, like beiges, yellows and whites. Alternatively, if you have dark-colored skin, lighter hues, like lighting blues, pinks and yellows will enhance your epidermis.

In terms of design, you should not try to be perfect. Brilliance is not really a realistic target. Whenever you focus on flawlessness, you'll only turn out frustrated. Kat Moss sets a fine illustration of how to move collectively a fashion seem by using a everyday untidy hair style or perhaps a key kept undone.

It is possible to keep up with the periods most up-to-date seems with some exploring on the internet. This should help you to check as best as you can in whatever time of year you happen to be in.

Are you feeling willing to tackle the fashion community, now? It shouldn't be difficult to get methods boost your fashion locates on any budget. Do your best with fashion, and you'll usually produce a positive impression on others.

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