The Developing World Is Poorer Than We Thought, But No Less Successful in the Fight against Poverty

Size: px
Start display at page:

Download "The Developing World Is Poorer Than We Thought, But No Less Successful in the Fight against Poverty"

Transcription

1 Publc Dsclosure Authorzed Pol c y Re s e a rc h Wo r k n g Pa p e r 4703 WPS4703 Publc Dsclosure Authorzed Publc Dsclosure Authorzed The Developng World Is Poorer Than We Thought, But No Less Successful n the Fght aganst Poverty Shaohua Chen Martn Ravallon Publc Dsclosure Authorzed The World Bank Development Research Group August 2008

2 Polcy Research Workng Paper 4703 Abstract The paper presents a major overhaul to the World Bank s past estmates of global poverty, ncorporatng new and better data. Extreme poverty as judged by what poverty means n the world s poorest countres s found to be more pervasve than we thought. Yet the data also provde robust evdence of contnually declnng poverty ncdence and depth snce the early 1980s. For 2005 we estmate that 1.4 bllon people, or one quarter of the populaton of the developng world, lved below our nternatonal lne of $1.25 a day n 2005 prces; 25 years earler there were 1.9 bllon poor, or one half of the populaton. Progress was uneven across regons. The poverty rate n East Asa fell from almost 80 percent to under 20 percent over ths perod. By contrast t stayed at around 50 percent n Sub-Saharan Afrca, though wth sgns of progress snce the md 1990s. Because of lags n survey data avalablty, these estmates do not yet reflect the sharp rse n food prces snce Ths paper a product of the Development Research Group s part of a larger effort n the department to montor the developng world's progress aganst absolute poverty. Polcy Research Workng Papers are also posted on the Web at econ.worldbank.org. The authors may be contacted at schen@worldbank.org or mravallon@worldbank.org. The Polcy Research Workng Paper Seres dssemnates the fndngs of work n progress to encourage the exchange of deas about development ssues. An objectve of the seres s to get the fndngs out quckly, even f the presentatons are less than fully polshed. The papers carry the names of the authors and should be cted accordngly. The fndngs, nterpretatons, and conclusons expressed n ths paper are entrely those of the authors. They do not necessarly represent the vews of the Internatonal Bank for Reconstructon and Development/World Bank and ts afflated organzatons, or those of the Executve Drectors of the World Bank or the governments they represent. Produced by the Research Support Team

3 The Developng World s Poorer than we Thought, But no Less Successful n the Fght Aganst Poverty Shaohua Chen and Martn Ravallon 1 Development Research Group, World Bank 1818 H Street NW, Washngton DC, 20433, USA 1 Ths the August 2009 revsed verson of the workng paper under the same ttle frst ssued n August In response to comments receved, the revsed verson ncludes new senstvty tests and a fully explanaton of the dfferences wth past estmates. The man results are unchanged. A great many colleagues at the World Bank have helped us n obtanng the necessary data for ths paper and answered our many questons. An mportant acknowledgement goes to the staff of over 100 governmental statstcs offces who collected the prmary household and prce survey data. Our thanks go to and Prem Sangraula, Yan Ba and Xaoyang L for ther nvaluable help n settng up the data sets we have used here. The Bank s Development Data Group has helped us wth our many questons concernng the 2005 ICP and other data ssues; we are partcularly grateful to Yur Dkhanov, Olver Duprez and Qnghua Zhao for ther help. We have also benefted from the comments of Francos Bourgugnon, Gaurav Datt, Angus Deaton, Massoud Karshenas, Aart Kraay, Peter Lanjouw, Rnku Murga, Ana Revenga, Lus Serven, Merrell Tuck, Domnque van de Walle and Kavta Watsa. These are our vews and should not be attrbuted to the World Bank or any afflated organzaton. Addresses: schen@worldbank.org and mravallon@worldbank.org.

4 1. Introducton In assessng the extent of poverty n a gven country one naturally uses a poverty lne that s consdered approprate for that country. However, the purchasng power of natonal poverty lnes vares across countres, wth rcher countres tendng to adopt hgher lnes. For the purposes of measurng poverty n the world as a whole, the World Bank s $1 a day measures have amed to apply a common standard, such that any two people wth the same purchasng power over commodtes are treated the same way both are ether poor or not poor, even f they lve n dfferent countres. A delberately conservatve standard has been used by the Bank, anchored to what poverty means n the world s poorest countres. By focusng on how poverty s defned n the poorest countres, the $1 a day lne gves the global poverty measure a salence n focusng on the world s poorest, though t s recognzed that hgher lnes also need to be consdered to obtan a complete pcture of the dstrbuton of lvng standards. Followng ths approach, Ravallon, Datt and van de Walle (RDV) (1991), n research for the 1990 World Development Report (World Bank, 1990), compled data on natonal poverty lnes across 33 countres and proposed a poverty lne of $1 per day at 1985 Purchasng Power Party (PPP) as beng typcal of low-ncome countres. 2 They estmated that one thrd of the populaton of the developng world n 1985 lved below ths lne. 3 Snce then the Bank s researchers have updated the orgnal RDV estmates of global poverty measures n the lght of new and often better data. The estmates done for the 2000/01 World Development Report (World Bank, 2000) used an nternatonal poverty lne of $1.08 a day, at 1993 PPP, based on the orgnal set of natonal poverty lnes n RDV (Chen and Ravallon, 2001). In 2004, about one n fve people n the developng world slghtly less than one bllon people were deemed to be poor by ths standard (Chen and Ravallon, 2007). Ths paper reports on the most extensve revson yet of these past estmates of poverty measures for the developng world. In the lght of a great deal of new data and under varous assumptons pertanng to the key methodologcal choces, we estmate the global poverty count for 2005 and update all our past estmates back to Ths puts our knowledge of the extent of poverty n the world on a frmer footng. 2 RDV also used a lower lne of $0.75 per day, whch was the predcted lne n the poorest country n ther data set, Somala, though t also happened to concde wth Inda s lne at the tme. 3 By the developng world we mean all low and mddle ncome countres essentally the Part 2 member countres of the World Bank (based on Gross Natonal Income per capta n 2005). 2

5 New data from three sources make the need for ths revson compellng. The frst new data source s the 2005 Internatonal Comparson Program (ICP). The prce surveys done by the ICP have been the man data source for estmatng PPPs. Ths started n 1968 wth PPP estmates for just 10 countres, based on rather crude prce surveys. 4 Pror to the present paper, our most recent global poverty measures had been anchored to the 1993 round of the ICP. An ndependent evaluaton (known as the Ryten Report; see UN, 1998) of the ICP rounds dentfed a number of methodologcal and operatonal concerns, ncludng lack of clear standards n defnng nternatonally comparable commodtes. Ths s a serous concern when comparng the cost of lvng between poor countres and rch ones, gven that there s lkely to be an economc gradent n the qualty of commodtes consumed; wthout strct standards n defnng the products to be prced, there s a rsk that one wll underestmate the cost of lvng n poor countres by confusng qualty dfferences wth prce dfferences. PPPs wll be underestmated n poor countres. Ths hghlghts the dffculty of dong prce surveys for the purposes of nternatonal comparsons. The exstence of non-traded goods s (on the one hand) the man reason why we need to use a PPP rather than market exchange rate, but (on the other hand) non-traded goods are harder to compare between countres. The only way to deal wth ths s through detaled product lstngs and descrptons, whch add sgnfcantly to the cost of the data collecton. A better funded round of the ICP n 2005, managed by the World Bank, has taken consderable effort to address ths problem as well as ntroducng other mprovements n the data and estmaton methods for PPPs (World Bank, 2008a,b). 5 A number of methodologcal and operatonal mprovements were mplemented by the 2005 ICP. The new ICP data mply some dramatc revsons to past estmates, consstent wth the vew that the old ICP data had under-estmated the cost-of-lvng n poor countres. The second data source s a new complaton of poverty lnes for developng countres provded by Ravallon, Chen and Sangraula (RCS) (2008). Based on these data, we mplement 4 The ICP started as a jont project of the UN and the Unversty of Pennsylvana, wth support from the Ford Foundaton and the World Bank. Pror to 2000, the Penn World Tables (PWT; see Summers and Heston, 1991) were the man source of the PPPs for consumpton used n the World Bank s global poverty measures. In 2000 we swtched to the PPPs estmated by the Bank s Development Data Group. There are methodologcal dfferences between the PWT and the Bank s PPPs, as dscussed n Ackland et al. (2006) and World Bank (2008, Appendx G). 5 Whle we do not know of any cost comparsons, there can be lttle doubt that the 2005 ICP entaled a far hgher cost than prevous rounds; as the Ryten Report had also dscussed, fxng the problems wth the ICP data would nevtably come at a cost. 3

6 an updated nternatonal poverty lne and test robustness to that choce. Recognzng that the new PPPs also change the $US value of natonal poverty lnes n the poorest countres, our nternatonal poverty lne of $1.25 per day n 2005 s delberately lower than the 2005 value n the US of our old nternatonal lne. The new lne s the mean of the natonal poverty lnes for the poorest 15 countres n terms of consumpton per capta. To test robustness of our man qualtatve results to the choce of poverty lne we also gve results for a range of lnes spannng $1.00 to $2.50 per day n 2005 prces. The lower bound (not to be confused wth the old $1-aday lne n 1993 prces) s very close to the natonal poverty lne used by Inda, whle the upper bound s the medan of the poverty lnes for all countres except the poorest 15. The $2.00 lne s the medan poverty lne found amongst developng countres as a whole. The thrd data source s the large number of new household surveys now avalable. We draw on 675 surveys, spannng and 115 countres. (By contrast, the orgnal RDV estmates used 22 surveys, one per country; Chen and Ravallon, 2004, used 450 surveys.) Our methods of analyzng these data follow Chen and Ravallon (2001, 2004, 2007). The nternatonal poverty lne s converted to local currences n the ICP benchmark year and s then converted to the prces prevalng at the tme of the relevant household survey usng the best avalable Consumer Prce Index (CPI) for that country. (Equvalently, the survey data on household consumpton or ncome for the survey year are expressed n the prces of the ICP base year, and then converted to PPP $ s.) Then the poverty rate s calculated from that survey. All nter-temporal comparsons are real, as assessed usng the country-specfc CPI. We make estmates at three-year ntervals over Interpolaton/extrapolaton methods are used to lne up the survey-based estmates wth these reference years, ncludng We also present a new method of mxng survey data wth natonal accounts (NAS) data to try to reduce surveycomparablty problems. For ths purpose, we treat the natonal accounts data on consumpton as a Bayesan pror for the survey mean and the actual survey as the new nformaton. We show that, under log-normalty wth a common varance, the mxed posteror estmator s the geometrc mean of the survey mean and ts predcted value based on the NAS. Based on these new data and methods we show that the ncdence of poverty n the world s hgher, or at least no lower, than past estmates have suggested. However, we also fnd that the poverty profle across regons of the developng world and the overall rate of progress aganst absolute poverty are farly smlar to past estmates. 4

7 2. The 2005 ICP round and ts mplcatons for global poverty measures Internatonal comparsons of economc aggregates have long recognzed that market exchange rates are deceptve, gven that some commodtes are not traded; ths ncludes servces but also many goods, ncludng some food staples. Furthermore, there s lkely to be a systematc effect, stemmng from the fact that low real wages n developng countres ental that laborntensve non-traded goods tend to be relatvely cheap. In the lterature, ths s known as the Balassa-Samuelson effect, 6 and s the now wdely-accepted explanaton for an emprcal fndng known as the Penn effect that GDP comparsons based on market exchange rates tend to understate the real ncomes of developng countres. 7 Smlarly, market exchange rates overstate the extent of poverty n the world when judged relatve to a gven $US poverty lne. Global economc measurement, ncludng poverty measurement, has reled nstead on PPPs, whch gve converson rates for a gven currency wth the am of assurng party n terms of purchasng power over commodtes, both nternatonally traded and non-traded. World Bank (2008a) s the source of our PPP s based on the 2005 ICP round. Here we only pont to some salent features relevant to measurng poverty n the developng world. 8 The 2005 ICP s the most complete and thorough assessment to date of how the cost of lvng vares across countres. The world was dvded nto sx regons wth dfferent product lsts for each. All regons partcpated, although the partcpaton rate was lower for Latn Amerca. The ICP collected prmary data on the prces for (dependng on the regon) goods and servces grouped under 155 basc headngs deemed to be comparable across countres; 110 of these relate to household consumpton. The prces were typcally obtaned from a large sample of outlets n each country. The prce surveys were done by the government statstcs offces n each country, under supervson from regonal authortes. The number of countres partcpatng n the 2005 ICP s larger than n 1993, the last ICP round we used for global poverty measurement; 146 countres partcpated, as compared to 117 n Ths was the frst tme that a number of countres, ncludng Chna, partcpated n the ICP. And the surveys were mplemented on a more scentfc bass. The 2005 ICP used strcter standards n defnng nternatonally 6 7 See Balassa (1964) and Samuelson (1964). The term Penn effect stems from Penn World Tables (Summers and Heston, 1991), whch provded the prce level ndces across countres that were frst used to establsh ths effect emprcally. 8 Broader dscussons on PPP methodology can be found n Ackland et al. (2006), World Bank (2008a) and Deaton and Heston (2009). 5

8 comparable qualtes of the goods dentfed n the ICP prce surveys. Regonal-specfc product lsts were derved, whch amed to balance the twn objectves of beng nternatonally comparable goods wthn the regon and beng representatve of the consumpton bundles found n each country. Creatng the product lstngs took about two years, as t nvolved extensve collaboraton amongst the countres and the relevant regonal ICP offce. Rng comparsons were used to lnkng the regonal PPP estmates through a common set of global prces; these comparsons were done for 18 countres n all a marked mprovement over past ICP rounds. 9 As n the past, the Bank uses a multlateral extenson of the blateral Fsher prce ndex known as the EKS method. 10 The changes n the methods of product lstng and prcng are of partcular relevance to global poverty measurement. The 2005 ICP appled more rgorous standards of specfyng nternatonally comparable commodtes for lnkng across countres (World Bank, 2008b). In comparson to 2005, t s lkely that the 1993 ICP would have used lower qualtes of goods n poor countres than would have been found n (say) the US market. 11 The goods prced by the 1993 ICP tended to be more typcal of the tems avalable n local markets. The 1993 ICP round also over-valued the servces derved from government n developng countres. RCS show that a szable underestmaton of the 1993 PPP s mpled by the new PPP data and the data on rates of nflaton. Furthermore, the extent of ths underestmaton tends to be greater for poorer countres. Gven the changes n data and methodology, PPPs for dfferent benchmark years cannot be easly compared, and cannot be expected to be consstent wth natonal data sources (Dalgaard and Sørensen, 2002; World Bank, 2008b). We follow common practce n lettng the natonal data overrde the ICP data for nter-temporal comparsons; ths s the most reasonable poston to take gven the changes n methodology between dfferent ICP rounds (World Bank, 2008b). Thus the PPP converson s only done once for a gven country, and all estmates are revsed back n tme consstently wth the data for that country. So the PPPs serve the role of locatng the 9 There were other dfferences, less relevant to global poverty measurement. New methods were used for measurng government compensaton and housng. Adjustments were also made for the lower average productvty of publc sector workers n developng countres (lowerng the mputed value of the servces derved from publc admnstraton, educaton and health). 10 On the advantages of ths method over the alternatve (Geary-Khams) method see Ackland et al. (2006). In the 2005 ICP the Afrca regon chose a dfferent aggregaton method (Afrcan Development Bank, 2007); World Bank (2008b) descrbes ths as a mnor dfference to the EKS method. 11 There were a number of problems n the mplementaton of the 1993 ICP round, as dscussed n Ahmed (2003). 6

9 resdents of each country n the global dstrbuton, but we do not mx the new PPPs wth those from prevous ICP rounds. We wll, however, dscuss the salent dfferences between the new results reported here usng the 2005 ICP and our past estmates. Some dramatc revsons to past PPPs are mpled, not least for the two most populous developng countres, Chna and Inda (nether of whch had actually partcpated n the 1993 ICP). For example, the 1993 consumpton PPP used for Chna was 1.42 Yuan to the $US n 1993 (updatng an earler estmate by Ruoen and Chen, 1995), whle the new estmate based on the 2005 ICP s 3.46 Yuan (4.09 f one excludes government consumpton). The correspondng prce level ndex (PPP dvded by market exchange rate; US=100) went from 25% n 1993 to 52% n So the Penn effect s stll evdent, but the sze of ths effect has declned markedly, wth a new PPP at about half the market exchange rate rather than one quarter. Adjustng solely for the dfferental nflaton rates n the US and Chna one would have expected the 2005 PPP to be 1.80 Yuan not Smlarly, Inda's 1993 consumpton PPP was Rs 7.0, whle the 2005 PPP s Rs 16, and the prce level ndex went from 23% to 35%. If one updated the 1993 PPP for nflaton one would have obtaned a 2005 PPP of Rs 11 rather than Rs 16. The results for Chna have naturally attracted much attenton, gven that they suggest that Chna s GDP n 2005 s much smaller than we all thought; wth the PPP revsons, Chna s GDP per capta at PPP for 2005 falls from $6,760 to $4,091 (World Bank, 2008b). Kedel (2007) clamed that the new PPP for Chna adds 300 mllon to the count of that country s poor. Some observers have gone further to clam that the new PPPs also cast doubt on the extent of Chna s and (hence) the world s progress over tme aganst poverty. For example, the Bretton Woods Project (an NGO) clams that the new PPPs undermne the much-trumpeted clams that globalzaton has reduced the number of people lvng n extreme poverty. 12 Ths would be surprsng f t were true, gven that rates of economc growth at the country level are not altered by changng the PPP benchmark; wth Chna s (remarkable) growth rates ntact one must expect that progress over tme wll be smlar usng the new PPP, even f the poverty rate s hgher (by nternatonal standards) at all dates. Whle there were many mprovements n the 2005 ICP, the new PPPs stll have some lmtatons. Makng the commodty bundles more comparable across countres (wthn a gven regon) nvarably entals that some of the reference commodtes are not typcally consumed n 12 See 7

10 certan countres, generatng ether mssng values or prces drawn from unusual outlets; for example, Deaton and Heston (2009) pont out that rce s hard to fnd n Ethopa and teff (the staple n Ethopa) s hard to fnd n Thaland, say. One could avod ths problem by choosng more representatve country-specfc bundles, but ths would re-ntroduce the qualty bas dscussed above, whch has plagued past ICP rounds. There s also a problem of urban bas n the ICP prce surveys for some countes; the next secton descrbes our methods of addressng ths problem. As was argued n Ravallon et al. (1991), a further concern s that the weghts attached to dfferent commodtes n the conventonal PPP rate may not be approprate for the poor; secton 6 examnes the senstvty of our results to the use of alternatve PPPs for the poor avalable for a subset of countres from Deaton and Duprez (2009). Another lmtaton s that the PPP s a natonal average. Just as the cost of lvng tends to be lower n poorer countres, one expects t to be lower n poorer regons wthn one country, especally n rural areas. Ravallon et al. (2007) have allowed for urban-rural cost of lvng dfferences facng the poor, and provded an urban-rural breakdown of our pror global poverty measures usng the 1993 PPP. We plan to update these estmates n future work. Gven that the bulk of the PPPs have rsen for developng countres, the poverty count wll tend to rse at any gven poverty lne n $PPPs. However, the same changes n the PPPs also alter the (endogenous) nternatonal poverty lne, gven that t s anchored to the natonal poverty lnes n the poorest countres. Next we turn to the poverty lnes. 3. Natonal and nternatonal poverty lnes In settng an nternatonal poverty lne usng the 2005 ICP we have amed to follow the same defnton used n our past work, namely that the lne should be representatve of the natonal lnes found n the poorest countres n the sprt of the orgnal $1 a day lne (RDV; World Bank, 1990). For ths purpose, RCS have compled a new set of natonal poverty lnes for developng countres drawn from the World Bank s country-specfc Poverty Assessments and the Poverty Reducton Strategy Papers (PRSP) done by the governments of the countres concerned. These documents provde a rch source of data on poverty at the country level, and almost all nclude estmates of natonal poverty lnes. The RCS dataset was compled from the most recent poverty assessments and PRSPs over In the source documents, each poverty lne s gven n the prces for a specfc survey year (for whch the subsequent poverty 8

11 measures are calculated). In most cases, the poverty lne was also calculated from the same survey (though there are some exceptons, for whch pre-exstng natonal poverty lnes were updated usng the consumer prce ndex). About 80 percent of these reports used a verson of the cost of basc needs method n whch the food component of the poverty lne s the expendture needed to purchase a food bundle specfc to each country (or regon) that yelds a stpulated food energy requrement. 13 To ths amount an allowance s added for nonfood spendng, whch s typcally anchored to the nonfood spendng of people whose food spendng (or sometmes total spendng) s near the food poverty lne. Whle there are smlartes across countres n how poverty lnes are set, there s much scope for dscreton. The stpulated food-energy requrements are smlar, but the food bundles that yeld a gven food energy ntake can vary enormously (such as n the share of calores from starchy staples and the share from meat). The nonfood component wll also vary. The judgments made n settng the varous parameters of a poverty lne are lkely to reflect prevalng notons of what poverty means n each country settng, wth more frugal lnes n poorer countres. There are some notable dfferences between the old (RDV) and new (RCS) data sets on natonal poverty lnes. The RDV data were drawn from sources for the 1980s (wth a mean year of 1984) whle the new and larger complaton n RCS s post-1990 (mean of 1999); n no case do the proxmate sources overlap. The RCS data cover 75 developng countres whle the earler data ncluded only 22 countres (plus 11 developed countres). The RDV data set used rural poverty lnes when there was a choce, whle the RCS data set estmated natonal average lnes. And the RDV data set was unrepresentatve of the poorest regon, Sub-Saharan Afrca (SSA), wth only four countres from that regon (Burund, South Afrca, Tanzana and Zamba), whle the RCS data set has a good spread across regons, ncludng 23 countres n SSA. The sample bas n the RDV data set was unavodable at the tme (1990) but t can now be corrected. Fgure 1 plots the poverty lnes compled by RCS n 2005 $PPPs per month aganst log household consumpton per capta also at 2005 PPP; there are 74 countres wth complete data. The Fgure also gves a nonparametrc regresson of the natonal poverty lnes aganst log mean consumpton. Above a certan pont, the poverty lne rses wth mean consumpton. The overall elastcty of the poverty lne to mean consumpton s about 0.7. However, the slope s essentally 13 Ths method, and alternatves, are dscussed n detal n Ravallon (1994, 2008a). 9

12 zero amongst the poorest 20 or so countres, where absolute poverty clearly domnates. The economc gradent n natonal poverty lnes evdent n Fgure 1 s drven more by the gradent n the non-food component of the poverty lnes (whch accounts for about 60% of the overall elastcty) than the food component, although there s stll an apprecable share attrbutable to the gradent n food poverty lnes (RCS). Our nternatonal poverty lne s $1.25 a day for 2005, whch s the mean of the lnes found n a reference group of countres defned as those wth consumpton per capta at 2005 PPP below $60.00 per month; the RCS sample has 15 countres n ths group namely Malaw, Mal, Ethopa, Serra Leone, Nger, Uganda, Gamba, Rwanda, Gunea-Bssau, Tanzana, Tajkstan, Mozambque, Chad, Nepal and Ghana. (Ther medan poverty lne s $1.27 per day.) Consumpton per capta for ths group ranges from $1.03 to $1.87 per day wth a mean of $1.40 per day. The level of ths poverty lne s qute robust to the choce of the poorest 15 countres (takng plus or mnus fve countres ranked by consumpton per capta). However, t makes sense to focus on the poorest 15 snce the econometrc tests reported n RCS mply that natonal poverty lnes tend to rse wth consumpton per person when t exceeds about $2 per day, whch s near the upper bound of the consumpton levels found amongst these 15 countres. 14 Of course, there s stll a varance n the natonal poverty lnes at any gven level of mean consumpton, ncludng amongst the poorest countres. The poverty lnes found amongst the poorest 15 countres vary from $0.70 to $1.90 per day and RCS estmate the robust standard error of the $1.25 lne to be $0.10 per day. To assess the robustness of qualtatve comparsons to the choce of poverty lne, we provde estmates for fve lnes at 2005 PPP namely: () $1.00 a day, whch s very close to the natonal poverty lne used by the Government of Inda; 15 () $1.25, whch s the mean poverty lne for the poorest 15 countres, as proposed by RCS; () $1.45, as obtaned by updatng the 1993 $1.08 lne for nflaton n the US; () $2.00, whch s the medan of the RCS sample of natonal poverty lnes for developng and transton economes and s also approxmately the lne 14 RCS use a sutably constraned verson of Hansen s (2002) method for estmatng a pece-wse lnear ( threshold ) model. (The constrant s that the slope of the lower lnear segment must be zero and there s no potental dscontnuty at the threshold.) Ths method gave an absolute poverty lne of $1.23 (t=6.36) and a threshold level of consumpton (above whch the poverty lne rses lnearly) very close to the $60 per month fgure used to defne the reference group. 15 Inda s offcal poverty lnes for 2004/05 were Rs and Rs per day for urban and rural areas. Usng our urban and rural PPPs for 2005 (descrbed below) these represent $1.03 per day. 10

13 obtaned by updatng the $1.45 lne at 1993 PPP for nflaton n the US; and (v) $2.50, twce the $1.25 lne, whch s also the medan poverty lne of all except the poorest 15 of countres n the RCS data set of natonal poverty lnes. The range $1.00 to $1.45 s roughly the 95% confdence nterval for our estmate of the mean poverty lne for the poorest 15 countres. To test the robustness of qualtatve comparsons, we also estmate the cumulatve dstrbuton functons up to a maxmum poverty lne, whch we set at $13 per day, whch s about the offcal poverty lne for the US (at average household sze and composton). 16 We use the same PPPs to convert the nternatonal lnes to local currency unts (LCUs). Three countres were treated dfferently, Chna, Inda and Indonesa. In all three we used separate urban and rural dstrbutons. For Chna, the ICP survey was confned to 11 ctes. 17 We treat the ICP s PPP as an urban PPP and use the rato of urban to rural natonal poverty lnes to derve the correspondng rural poverty lne n local currency unts. For Inda the ICP ncluded rural areas, but they were underrepresented. We derved urban and rural poverty lnes consstent wth both the urban-rural dfferental n the natonal poverty lnes and the relevant features of the desgn of the ICP samples for Inda; further detals can be found n Ravallon (2008b). For Indonesa, we converted the nternatonal poverty lne to LCUs usng the offcal consumpton PPP from the 2005 ICP. We then unpack that poverty lne to derve mplct urban and rural lnes that are consstent wth both the rato of the natonal urban-to-rural lnes for Indonesa and the fact that the natonal PPP from the ICP s based on expendture-weghted prces. Comparson wth our old nternatonal poverty lne. Recall that the nternatonal poverty lne for 1993 proposed by Chen and Ravallon (2001) was $1.08 a day ($32.74 per month). If one adjusts only for nflaton n the US one obtans $1.45 a day at 2005 prces, whch s well above the average poverty lne for the poorest countes n Fgure 1. However, t wll be recalled that the $1.08 fgure at 1993 PPP was based on the RDV data set of natonal poverty lnes for the 1980s. If we use the new data set on natonal poverty lnes provded by RCS but evaluated at 1993 prces and converted to $ s usng the 1993 PPPs we would obtan a consderably hgher poverty lne. Fgure 2 plots both the new (RCS) and old (RDV) data on natonal poverty lnes, both at 1993 PPP. The relatonshp between the RCS natonal poverty lnes and consumpton per capta 16 See We used the poverty lne for a four member household at 2005, whch s $416 per person per month. 17 Although the survey ncluded some surroundng rural areas, t cannot be consdered representatve of rural Chna; evdence on ths pont s provded by Chen and Ravallon (2008a). 11

14 (at 1993 PPP) looks smlar to Fgure 1. But the RDV lnes are notably lower; the gap dmnshes as consumpton falls, but stll perssts amongst the poorest countres. For the poorest 15 countres ranked by consumpton per capta at 1993 PPP, the mean poverty lne n the RCS data set s $44.19 ($1.45 a day 18 ) versus $33.51 ($1.10 a day) usng the old (RDV) seres for eght countres wth consumpton below upper bound of consumpton for those 15 countres. Ths mght suggest that there was an upward drft n the natonal poverty lnes of poor countres between the 1980s and the 1990s and 2000s. However, ths seems unlkely, gven that t appears to be qute rare for developng countres to ncrease the real value of ther poverty lnes over tme. The more plausble explanaton les wth the aforementoned dfferences between the two samples of natonal poverty lnes. There are two salent dfferences. Frst, recall that the RDV sample used rural poverty lnes, whch are nvarably lower than urban lnes (Ravallon et al., 2007); ths wll lower the schedule of poverty lnes at gven natonal mean consumpton. Second, the orgnal RDV sample under-represented SSA. Three of the eght countres n the RDV sample that qualfy to be n our reference group of countres (wth consumpton per capta less than $60 per month) are n SSA, yet 22 of the 29 countres wth consumpton less than $60 per month n the set of 115 countres for whch we measure poverty are n SSA. In other words, the proporton of SSA countres n the RDV sample s about half what t should be to be consdered representatve of poor countres. Ths s not such a problem for the RCS sample; as can be seen from the lst of countres above used to set the $1.25 a day poverty lne, 13 out of the 15 countres are n SSA; f anythng ths appears to slghtly over-represent SSA. Ths dfference between the RDV and RCS samples s relevant to understandng why the RCS lnes are hgher at gven consumpton, as seen n Fgure 2. Natonal poverty lnes at 1993 PPP tend to be hgher n SSA than other regons at gven consumpton. The dfference between SSA and non-ssa poverty lnes amongst the reference group of countres cannot be relably estmated gven that there are so few non-ssa countres n the reference group. In other words there s very lttle common support at very low consumpton levels. A reasonable defnton of the regon of common support s the 37 countres wth consumpton over $50 and under $250 per month at 1993 PPP. (Only one country n the sample, Maurtus, has consumpton $250, and t s well above t at $426.) On regressng the poverty lne at 1993 PPP on consumpton per capta for the sample n the regon of common support, wth a dummy varable for SSA countres, one 18 Note that ths s at 1993 PPP; $1.45 n 1993 prces represents $1.96 a day at 2005 US prces. 12

15 fnds that the dfference between SSA and non-ssa poverty lnes was $0.41 a day (wth a standard error of $0.28). 19 Amongst the samples used to calculate the above poverty lnes $1.45 a day at 1993 PPP usng the RCS sample versus $1.10 a day usng the RDV sample the share from SSA went from 37.5% (three countres out of eght) to 87.7% (13/15). Assumng that SSA poverty lnes are $0.41 a day hgher than non-ssa lnes, the change n the sample would add about $0.20 per day to the poverty lne closng slghtly more than half the gap between the $1.45 a day and $1.10 lnes. Whle the precson of ths estmate s clearly rather low, gven the sample szes, but t s at least suggestve that f the RDV sample had better represented Afrcan countres then the old nternatonal lne would have been apprecably hgher. Implcatons for global poverty measures. The mpact of these varous data revsons on the global poverty count s theoretcally ambguous. On the one hand, the new PPPs mply that the cost-of-lvng s hgher n developng countres, whch wll put upward pressure on the poverty count, but (on the other hand) the new PPPs wll put downward pressure on the nternatonal poverty lne. The key factor s whether the PPP revsons tend to be larger n the countres used to set the nternatonal poverty lne. RCS fnd that ths s the case. For any fxed set of natonal poverty lnes, the poverty rates n the sub-group of the poorest countres used to set the nternatonal lne wll be unchanged, whle the poverty rates n the less poor countres wll fall, snce they wll have relatvely hgher purchasng power. The Appendx provdes a complete analyss, for whch the followng result emerges as an nterestng specal case: Proposton 1: If the nternatonal poverty lne s that of the poorest country, whch also has the largest upward revson to ts PPP, then the aggregate poverty rate wll fall. Intutvely, gven that the nternatonal lne s anchored to the natonal lnes n the poorest countres, the poverty count for those countres s roughly constant, whle that for the other (less poor) developng countres tends to fall, snce the PPP revsons are smaller for those countres, whch translates nto a lower local currency equvalent of the nternatonal lne. Ths result s only of expostory nterest, gven that our nternatonal poverty lne s not n fact for the poorest country but rather for the poorest 15 countres; then there s a potentally confoundng effect of the dfferences amongst those countres. A further confoundng effect s 19 It made neglgble dfference f we also allow the slope parameter on consumpton to be dfferent for SSA countres and evaluate the mean dfference n poverty lnes at the medan or mean of consumpton n the regon of common support; ths also gave a mean dfference of $0.35 (s.e.=0.22) at the medan and $0.39 (0.29) at the mean. Nor dd addng a squared term n consumpton have much effect. 13

16 that there s (of course) a varance n the PPP revson at a gven level of consumpton per capta. (For example, Chna, s a not one of the countres used to set the nternatonal poverty lne but t had one of the hghest PPP revsons.) Nonetheless, Proposton 1 s suggestve that the pure effect of the PPP revsons, for a gven set of natonal lnes, wll be tend to reduce the aggregate poverty count. As we wll see, ths s confrmed by our emprcal results n secton 5. Aganst ths effect, the upward shft n the natonal poverty lnes mpled by the RCS data wll tend to ncrease the poverty count. The balance of these effects s an emprcal queston. 4. Household surveys and poverty measures We have estmated all poverty measures ourselves from the prmary sample survey data rather than relyng on pre-exstng poverty or nequalty measures. The prmary data come n varous forms, rangng from mcro data (the most common) to specally desgned grouped tabulatons from the raw data, constructed followng our gudelnes. All our prevous estmates have been updated to assure nternal consstency. We draw on 675 surveys for 115 countres; a full lstng s found n Chen and Ravallon (2008b). 20 The surveys are natonally representatve. Takng the most recent survey for each country, about 1.23 mllon households were ntervewed n the surveys used for our 2005 estmate. The surveys were mostly done by governmental statstcs offces as part of ther routne operatons. Not all avalable surveys were ncluded; a survey was dropped f there were known to be serous comparablty problems wth the rest of the data set. 21 Poverty measures. Followng past practce, poverty s assessed usng household per capta expendture on consumpton or household ncome per capta as measured from the natonal sample surveys. 22 Households are ranked by consumpton (or ncome) per person. The dstrbutons are weghted by household sze and sample expanson factors. Thus our poverty counts gve the number of people lvng n households wth per capta consumpton or ncome below the nternatonal poverty lne. 20 We had data for 116 countres but Zmbabwe had to be dropped drop due to the dffculty n convertng local currency to PPP due to the hgh nflaton rate. 21 Also, we have not used surveys for 2006 or 2007 when we already have a survey for 2005 the latest year for whch we provde estmates n ths paper. 22 The use of a per capta normalzaton s standard n the lterature on developng countres. Ths stems from the general presumpton that there s rather lttle scope for economes of sze n consumpton for poor people. However, that assumpton can be questoned; see Lanjouw and Ravallon (1995). 14

17 When there s a choce we use consumpton n preference to ncome, on the grounds that consumpton s lkely to be the better measure of current welfare on both theoretcal and practcal grounds. 23 Of the 675 surveys, 417 allow us to estmate the dstrbuton of consumpton; ths s true of all the surveys used n the Mddle East and North Afrca, South Asa and Sub-Saharan Afrca, though ncome surveys are more common n Latn Amerca. 24 Gven that savngs and credt can be used to smooth consumpton from ncome shocks, one expects hgher nequalty for ncomes than consumptons, for the same place and data. The measures of consumpton (or ncome, when consumpton s unavalable) n our survey data set are reasonably comprehensve, ncludng both cash spendng and mputed values for consumpton from own producton. But we acknowledge that even the best consumpton data need not adequately reflect certan non-market dmensons of welfare, such as access to certan publc servces, or ntra-household nequaltes. For these reasons, our poverty measures need to be supplemented by other data, such as on nfant and chld mortalty, to obtan a more complete pcture of how lvng standards are evolvng. We use standard poverty measures for whch the aggregate measure s the (populatonweghted) sum of ndvdual measures. In ths paper we report three such poverty measures. 25 The frst measure s the headcount ndex gven by the percentage of the populaton lvng n households wth consumpton or ncome per person below the poverty lne. We also gve estmates of the number of poor, as obtaned by applyng the estmated headcount ndex to the populaton of each regon under the assumpton that the countres wthout surveys are a random sub-sample of the regon. Our thrd measure s the poverty gap ndex, whch s the mean dstance below the poverty lne as a proporton of the lne where the mean s taken over the whole populaton, countng the non-poor as havng zero poverty gaps. 23 Consumpton requres fewer mputatons and assumptons, s lkely to be reported more accurately and s arguably a better measure of current economc welfare than ncome. For further dscusson see Ravallon (1994, 2003) and Deaton and Zad (2002). It has also been argued that consumpton s a better welfare ndcator n developed countres; see Slesnck (1998). 24 For a few cases we do not have consumpton dstrbutons but we stll have survey-based estmates of mean consumpton. Then we replace the ncome mean by the consumpton mean leavng the Lorenz curve the same (.e., all ncomes are scaled up by the rato of the consumpton mean to the ncome mean). There s, however, no obvous bass for adjustng the Lorenz curve. 25 PovcalNet provdes a wder range of measures, drawn from the lterature on poverty measurement. See 15

18 Havng converted the nternatonal poverty lne at PPP to local currency n 2005 we convert t to the prces prevalng at each survey date usng the country-specfc offcal Consumer Prce Index (CPI). 26 The weghts n ths ndex may or may not accord well wth consumer budget shares at the poverty lne. In perods of relatve prce shfts, ths wll bas our comparsons of the ncdence of poverty over tme, dependng on the extent of (utltycompensated) substtuton possbltes for people at the poverty lne. We started the seres n 1981 and made estmates at three yearly ntervals, up to For the 115 countres, 14 have only one survey; 17 have two surveys; 14 have three; whle 70 have four or more surveys over the perod, of whch 23 have 10 or more surveys. If there s only one survey for a country then we estmate measures for each reference year by applyng the growth rate n real prvate consumpton per person from the NAS to the survey mean assumng that the Lorenz curve for that country does not change. 27 Ths seems the best opton for dealng wth ths problem, though there can be no guarantee that the Lorenz curve would not have shfted or that a survey-based measure of consumpton would have grown at the same rate as prvate consumpton n the NAS. For example, growth n the latter mght reflect growth n the spendng by non-proft organzatons whch are not separated from households n the NAS for most developng countres rather than household spendng (Ravallon, 2003). Our benchmark estmates only use the annual NAS data for nterpolaton purposes gven the rregular spacng of surveys; Chen and Ravallon (2004, 2008b) descrbe our nterpolaton methods. However, we provde senstvty tests to the use of a Bayesan mxed method, combnng the surveys and natonal accounts n estmatng the mean, as a means of addressng the lkely heterogenety amongst surveys; we dscuss ths further below. In the aggregate, 90% of the populaton of the developng world s represented by surveys wthn two years of Survey coverage by regon vares from 74% of the populaton of the Mddle East and North Afrca (MENA) to 98% of the populaton of South Asa. Naturally, the further back we go, the fewer the number of surveys reflectng the 26 Note that the same poverty lne s generally used for urban and rural areas. There are three exceptons, Chna, Inda and Indonesa, where we estmate poverty measures separately for urban and rural areas and use sector-specfc CPIs. 27 For a few SSA countres, prvate consumpton per capta s mssng from the World Bank s Development Data Platform; we use the seres from Afrca Development Indcators Some countres have graduated from the set of developng countres; we apply the same defnton over tme to avod selecton bas. In ths paper our defnton s anchored to

19 expanson n household survey data collecton for developng countres snce the 1980s. And coverage deterorates n the last year or two of the seres, gven the lags n survey processng. Two gudes to the relablty of our estmates are to count the number of surveys by year and to measure the coverage rate. Fgure 3 gves the number of surveys; we gve the three-year movng average centered on each year (gven that havng a survey last year or next year can help greatly n estmatng poverty ths year). For comparson purposes, we also gve the numbers of surveys used by Chen and Ravallon (2004). By ths measure, our estmates around the md 1990s onwards are clearly the most relable whle our estmate for 1981 s the least relable. We have a cumulatve total of only 18 surveys up to 1983, though the number doubles by By contrast we have a total of 480 surveys after Naturally the number of surveys drops off n the last year or so, gven the lags n avalablty; there has been a marked mprovement n the coverage of recent surveys, though ths partly reflects our unwllngness to make an estmate yet for 2006 (as we stll only have seven surveys for that year, at the tme of wrtng). Most regons are qute well covered from the latter half of the 1980s (East and South Asa beng well covered from 1981 onwards). 29 Unsurprsngly, we have weak coverage n Eastern Europe and Central Asa (EECA) for the 1980s; many of these countres dd not offcally exst then. More worryng s the weak coverage for Sub-Saharan Afrca n the 1980s; ndeed, our estmates for the early 1980s rely heavly on projectons based on dstrbutons around Table 1 gves the average survey year by regon for each reference year. By comparng Table 1 wth the correspondng table n Chen and Ravallon (2004) we can see how much the lags n survey data avalablty have fallen. Lke the present paper, Chen and Ravallon (2004) reported results for a reference year that was three years pror to the tme of wrtng (namely 2001, versus 2005). Table 2 gves the average lag by regon (where zero means no lag for the latest reference year). The overall mean has fallen by one year (1.6 to 0.6 years); for East Asa (the lowest mean lag for 2001), the average lag s down to almost zero; for SSA (the hghest lag n 2001), the lag has also fallen apprecably, from 4.0 to 1.5 years, and MENA s now the regon wth the hghest mean lag. Note that the lags n Table 2 reflect both the frequency of surveys and our access to the data. Based on our observatons n assemblng the data base for ths study, we would conjecture 29 Chna s survey data for the early 1980s are probably less relable than later years, as dscussed n Chen and Ravallon (2004) where we also descrbe our methods of adjustng for certan comparablty problems n the Chna data, ncludng changes n valuaton methods. 17

20 that the large lag for MENA s due more to access to exstng surveys than to the frequency of those surveys, whle for SSA t s due more to nfrequent producton of adequate surveys. The second ndcator s the percentage of the populaton covered by household surveys. Table 3 gves the coverage rate by regon and for each reference year; a country s defned as beng covered f there was a survey (n our data base) wthn two years of the reference date (a fve-year wndow). Note that our method only strctly requres one survey per country, though we have almost sx surveys per country on average. Naturally, the more surveys we have for a gven country the more confdent we are about the estmates. The weak coverage for EECA, MENA and SSA n the 1980s s evdent n Table 3. Our estmates for these regons n the 1980s are heavly dependent on the extrapolatons from NAS data. We wll dscuss the lkely bases. Note that there s a hole n coverage for South Asa n Ths reflects a problem n Inda s Natonal Sample Survey (NSS) for 1999/ We dropped that NSS survey round gven that we now have a new survey for 2004/05 that we consder to be reasonably comparable to the round of 1993/94. We use only the 5-yearly rounds of the NSS, whch have larger samples and more detaled and more comparable consumpton modules (asde from the 1999/00 round). Unfortunately, ths leaves a 10-year gap n our survey coverage for Inda; the estmates for Inda over the ntervenng perod use our nterpolaton method. Includng all avalable survey rounds for Inda adds to the varablty n the seres but does not change the trend. 31 Gven the lags n survey data, our estmates do not nclude the mpacts of the recent rse n food and fuel prces and the global fnancal crss (GFC). Ex ante projectons of the welfare mpacts of the rse n food prces for a set of nne low-ncome countres by Ivanc and Martn (2008) predct that, on balance, the rse n food prces over wll have been povertyncreasng. Elsewhere we have argued that the same s lkely of the mpact of the GFC on the ncdence of poverty n the developng world as a whole n 2009; n Chen and Ravallon (2009) we estmate that the GFC added about 1% pont to the headcount ndex for $1.25 a day n Heterogenety n surveys. As n past work, we have tred to elmnate obvous comparablty problems, ether by re-estmatng the consumpton/ncome aggregates or the more Further dscusson and references can be found n Datt and Ravallon (2002). If one uses the 1999/2000 survey for Inda one obtans a sharp fall n that year, and a subsequent rse n poverty ncdence to However, ths s clearly spurous, beng drven by the fact that the 1999/2000 survey over-estmates level of consumpton relatve to other survey rounds. 18

Dollar a Day Revisited

Dollar a Day Revisited Dollar a Day Revsted Martn Ravallon, Shaohua Chen, and Prem Sangraula The artcle presents the frst major update of the nternatonal $1 a day poverty lne, proposed n World Development Report 1990: Poverty

More information

Answer: A). There is a flatter IS curve in the high MPC economy. Original LM LM after increase in M. IS curve for low MPC economy

Answer: A). There is a flatter IS curve in the high MPC economy. Original LM LM after increase in M. IS curve for low MPC economy 4.02 Quz Solutons Fall 2004 Multple-Choce Questons (30/00 ponts) Please, crcle the correct answer for each of the followng 0 multple-choce questons. For each queston, only one of the answers s correct.

More information

Marginal Benefit Incidence Analysis Using a Single Cross-section of Data. Mohamed Ihsan Ajwad and Quentin Wodon 1. World Bank.

Marginal Benefit Incidence Analysis Using a Single Cross-section of Data. Mohamed Ihsan Ajwad and Quentin Wodon 1. World Bank. Margnal Beneft Incdence Analyss Usng a Sngle Cross-secton of Data Mohamed Ihsan Ajwad and uentn Wodon World Bank August 200 Abstract In a recent paper, Lanjouw and Ravallon proposed an attractve and smple

More information

An Alternative Way to Measure Private Equity Performance

An Alternative Way to Measure Private Equity Performance An Alternatve Way to Measure Prvate Equty Performance Peter Todd Parlux Investment Technology LLC Summary Internal Rate of Return (IRR) s probably the most common way to measure the performance of prvate

More information

Calculation of Sampling Weights

Calculation of Sampling Weights Perre Foy Statstcs Canada 4 Calculaton of Samplng Weghts 4.1 OVERVIEW The basc sample desgn used n TIMSS Populatons 1 and 2 was a two-stage stratfed cluster desgn. 1 The frst stage conssted of a sample

More information

How To Calculate The Accountng Perod Of Nequalty

How To Calculate The Accountng Perod Of Nequalty Inequalty and The Accountng Perod Quentn Wodon and Shlomo Ytzha World Ban and Hebrew Unversty September Abstract Income nequalty typcally declnes wth the length of tme taen nto account for measurement.

More information

DEFINING %COMPLETE IN MICROSOFT PROJECT

DEFINING %COMPLETE IN MICROSOFT PROJECT CelersSystems DEFINING %COMPLETE IN MICROSOFT PROJECT PREPARED BY James E Aksel, PMP, PMI-SP, MVP For Addtonal Informaton about Earned Value Management Systems and reportng, please contact: CelersSystems,

More information

Can Auto Liability Insurance Purchases Signal Risk Attitude?

Can Auto Liability Insurance Purchases Signal Risk Attitude? Internatonal Journal of Busness and Economcs, 2011, Vol. 10, No. 2, 159-164 Can Auto Lablty Insurance Purchases Sgnal Rsk Atttude? Chu-Shu L Department of Internatonal Busness, Asa Unversty, Tawan Sheng-Chang

More information

Overview of monitoring and evaluation

Overview of monitoring and evaluation 540 Toolkt to Combat Traffckng n Persons Tool 10.1 Overvew of montorng and evaluaton Overvew Ths tool brefly descrbes both montorng and evaluaton, and the dstncton between the two. What s montorng? Montorng

More information

The Current Employment Statistics (CES) survey,

The Current Employment Statistics (CES) survey, Busness Brths and Deaths Impact of busness brths and deaths n the payroll survey The CES probablty-based sample redesgn accounts for most busness brth employment through the mputaton of busness deaths,

More information

14.74 Lecture 5: Health (2)

14.74 Lecture 5: Health (2) 14.74 Lecture 5: Health (2) Esther Duflo February 17, 2004 1 Possble Interventons Last tme we dscussed possble nterventons. Let s take one: provdng ron supplements to people, for example. From the data,

More information

HOUSEHOLDS DEBT BURDEN: AN ANALYSIS BASED ON MICROECONOMIC DATA*

HOUSEHOLDS DEBT BURDEN: AN ANALYSIS BASED ON MICROECONOMIC DATA* HOUSEHOLDS DEBT BURDEN: AN ANALYSIS BASED ON MICROECONOMIC DATA* Luísa Farnha** 1. INTRODUCTION The rapd growth n Portuguese households ndebtedness n the past few years ncreased the concerns that debt

More information

benefit is 2, paid if the policyholder dies within the year, and probability of death within the year is ).

benefit is 2, paid if the policyholder dies within the year, and probability of death within the year is ). REVIEW OF RISK MANAGEMENT CONCEPTS LOSS DISTRIBUTIONS AND INSURANCE Loss and nsurance: When someone s subject to the rsk of ncurrng a fnancal loss, the loss s generally modeled usng a random varable or

More information

PRIVATE SCHOOL CHOICE: THE EFFECTS OF RELIGIOUS AFFILIATION AND PARTICIPATION

PRIVATE SCHOOL CHOICE: THE EFFECTS OF RELIGIOUS AFFILIATION AND PARTICIPATION PRIVATE SCHOOL CHOICE: THE EFFECTS OF RELIIOUS AFFILIATION AND PARTICIPATION Danny Cohen-Zada Department of Economcs, Ben-uron Unversty, Beer-Sheva 84105, Israel Wllam Sander Department of Economcs, DePaul

More information

Staff Paper. Farm Savings Accounts: Examining Income Variability, Eligibility, and Benefits. Brent Gloy, Eddy LaDue, and Charles Cuykendall

Staff Paper. Farm Savings Accounts: Examining Income Variability, Eligibility, and Benefits. Brent Gloy, Eddy LaDue, and Charles Cuykendall SP 2005-02 August 2005 Staff Paper Department of Appled Economcs and Management Cornell Unversty, Ithaca, New York 14853-7801 USA Farm Savngs Accounts: Examnng Income Varablty, Elgblty, and Benefts Brent

More information

LIFETIME INCOME OPTIONS

LIFETIME INCOME OPTIONS LIFETIME INCOME OPTIONS May 2011 by: Marca S. Wagner, Esq. The Wagner Law Group A Professonal Corporaton 99 Summer Street, 13 th Floor Boston, MA 02110 Tel: (617) 357-5200 Fax: (617) 357-5250 www.ersa-lawyers.com

More information

A household-based Human Development Index. Kenneth Harttgen and Stephan Klasen Göttingen University, Germany

A household-based Human Development Index. Kenneth Harttgen and Stephan Klasen Göttingen University, Germany A household-based Human Development Index Kenneth Harttgen and Stephan Klasen Göttngen Unversty, Germany Introducton Motvaton HDI tres to operatonalze capablty approach at cross-natonal level. HDI measures

More information

Analysis of Premium Liabilities for Australian Lines of Business

Analysis of Premium Liabilities for Australian Lines of Business Summary of Analyss of Premum Labltes for Australan Lnes of Busness Emly Tao Honours Research Paper, The Unversty of Melbourne Emly Tao Acknowledgements I am grateful to the Australan Prudental Regulaton

More information

Demographic and Health Surveys Methodology

Demographic and Health Surveys Methodology samplng and household lstng manual Demographc and Health Surveys Methodology Ths document s part of the Demographc and Health Survey s DHS Toolkt of methodology for the MEASURE DHS Phase III project, mplemented

More information

Module 2 LOSSLESS IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur

Module 2 LOSSLESS IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur Module LOSSLESS IMAGE COMPRESSION SYSTEMS Lesson 3 Lossless Compresson: Huffman Codng Instructonal Objectves At the end of ths lesson, the students should be able to:. Defne and measure source entropy..

More information

Financial Mathemetics

Financial Mathemetics Fnancal Mathemetcs 15 Mathematcs Grade 12 Teacher Gude Fnancal Maths Seres Overvew In ths seres we am to show how Mathematcs can be used to support personal fnancal decsons. In ths seres we jon Tebogo,

More information

Proceedings of the Annual Meeting of the American Statistical Association, August 5-9, 2001

Proceedings of the Annual Meeting of the American Statistical Association, August 5-9, 2001 Proceedngs of the Annual Meetng of the Amercan Statstcal Assocaton, August 5-9, 2001 LIST-ASSISTED SAMPLING: THE EFFECT OF TELEPHONE SYSTEM CHANGES ON DESIGN 1 Clyde Tucker, Bureau of Labor Statstcs James

More information

Sample Design in TIMSS and PIRLS

Sample Design in TIMSS and PIRLS Sample Desgn n TIMSS and PIRLS Introducton Marc Joncas Perre Foy TIMSS and PIRLS are desgned to provde vald and relable measurement of trends n student achevement n countres around the world, whle keepng

More information

Multiple-Period Attribution: Residuals and Compounding

Multiple-Period Attribution: Residuals and Compounding Multple-Perod Attrbuton: Resduals and Compoundng Our revewer gave these authors full marks for dealng wth an ssue that performance measurers and vendors often regard as propretary nformaton. In 1994, Dens

More information

WORKING PAPERS. The Impact of Technological Change and Lifestyles on the Energy Demand of Households

WORKING PAPERS. The Impact of Technological Change and Lifestyles on the Energy Demand of Households ÖSTERREICHISCHES INSTITUT FÜR WIRTSCHAFTSFORSCHUNG WORKING PAPERS The Impact of Technologcal Change and Lfestyles on the Energy Demand of Households A Combnaton of Aggregate and Indvdual Household Analyss

More information

PSYCHOLOGICAL RESEARCH (PYC 304-C) Lecture 12

PSYCHOLOGICAL RESEARCH (PYC 304-C) Lecture 12 14 The Ch-squared dstrbuton PSYCHOLOGICAL RESEARCH (PYC 304-C) Lecture 1 If a normal varable X, havng mean µ and varance σ, s standardsed, the new varable Z has a mean 0 and varance 1. When ths standardsed

More information

IDENTIFICATION AND CORRECTION OF A COMMON ERROR IN GENERAL ANNUITY CALCULATIONS

IDENTIFICATION AND CORRECTION OF A COMMON ERROR IN GENERAL ANNUITY CALCULATIONS IDENTIFICATION AND CORRECTION OF A COMMON ERROR IN GENERAL ANNUITY CALCULATIONS Chrs Deeley* Last revsed: September 22, 200 * Chrs Deeley s a Senor Lecturer n the School of Accountng, Charles Sturt Unversty,

More information

Returns to Experience in Mozambique: A Nonparametric Regression Approach

Returns to Experience in Mozambique: A Nonparametric Regression Approach Returns to Experence n Mozambque: A Nonparametrc Regresson Approach Joel Muzma Conference Paper nº 27 Conferênca Inaugural do IESE Desafos para a nvestgação socal e económca em Moçambque 19 de Setembro

More information

How To Understand The Results Of The German Meris Cloud And Water Vapour Product

How To Understand The Results Of The German Meris Cloud And Water Vapour Product Ttel: Project: Doc. No.: MERIS level 3 cloud and water vapour products MAPP MAPP-ATBD-ClWVL3 Issue: 1 Revson: 0 Date: 9.12.1998 Functon Name Organsaton Sgnature Date Author: Bennartz FUB Preusker FUB Schüller

More information

Enhancing the Quality of Price Indexes A Sampling Perspective

Enhancing the Quality of Price Indexes A Sampling Perspective Enhancng the Qualty of Prce Indexes A Samplng Perspectve Jack Lothan 1 and Zdenek Patak 2 Statstcs Canada 1 Statstcs Canada 2 Abstract Wth the release of the Boskn Report (Boskn et al., 1996) on the state

More information

Section 5.4 Annuities, Present Value, and Amortization

Section 5.4 Annuities, Present Value, and Amortization Secton 5.4 Annutes, Present Value, and Amortzaton Present Value In Secton 5.2, we saw that the present value of A dollars at nterest rate per perod for n perods s the amount that must be deposted today

More information

The OC Curve of Attribute Acceptance Plans

The OC Curve of Attribute Acceptance Plans The OC Curve of Attrbute Acceptance Plans The Operatng Characterstc (OC) curve descrbes the probablty of acceptng a lot as a functon of the lot s qualty. Fgure 1 shows a typcal OC Curve. 10 8 6 4 1 3 4

More information

Number of Levels Cumulative Annual operating Income per year construction costs costs ($) ($) ($) 1 600,000 35,000 100,000 2 2,200,000 60,000 350,000

Number of Levels Cumulative Annual operating Income per year construction costs costs ($) ($) ($) 1 600,000 35,000 100,000 2 2,200,000 60,000 350,000 Problem Set 5 Solutons 1 MIT s consderng buldng a new car park near Kendall Square. o unversty funds are avalable (overhead rates are under pressure and the new faclty would have to pay for tself from

More information

Heterogeneous Paths Through College: Detailed Patterns and Relationships with Graduation and Earnings

Heterogeneous Paths Through College: Detailed Patterns and Relationships with Graduation and Earnings Heterogeneous Paths Through College: Detaled Patterns and Relatonshps wth Graduaton and Earnngs Rodney J. Andrews The Unversty of Texas at Dallas and the Texas Schools Project Jng L The Unversty of Tulsa

More information

World Economic Vulnerability Monitor (WEVUM) Trade shock analysis

World Economic Vulnerability Monitor (WEVUM) Trade shock analysis World Economc Vulnerablty Montor (WEVUM) Trade shock analyss Measurng the mpact of the global shocks on trade balances va prce and demand effects Alex Izureta and Rob Vos UN DESA 1. Non-techncal descrpton

More information

Energy prices, energy efficiency, and fuel poverty 1. Vivien Foster, Jean-Philippe Tre, and Quentin Wodon. World Bank. September 2000.

Energy prices, energy efficiency, and fuel poverty 1. Vivien Foster, Jean-Philippe Tre, and Quentin Wodon. World Bank. September 2000. Energy prces, energy effcency, and fuel poverty 1 Vven Foster, Jean-Phlppe Tre, and Quentn Wodon World Bank September 2000 Abstract Because electrcty s much more effcent than other sources of energy for

More information

CHOLESTEROL REFERENCE METHOD LABORATORY NETWORK. Sample Stability Protocol

CHOLESTEROL REFERENCE METHOD LABORATORY NETWORK. Sample Stability Protocol CHOLESTEROL REFERENCE METHOD LABORATORY NETWORK Sample Stablty Protocol Background The Cholesterol Reference Method Laboratory Network (CRMLN) developed certfcaton protocols for total cholesterol, HDL

More information

Statistical algorithms in Review Manager 5

Statistical algorithms in Review Manager 5 Statstcal algorthms n Reve Manager 5 Jonathan J Deeks and Julan PT Hggns on behalf of the Statstcal Methods Group of The Cochrane Collaboraton August 00 Data structure Consder a meta-analyss of k studes

More information

Brigid Mullany, Ph.D University of North Carolina, Charlotte

Brigid Mullany, Ph.D University of North Carolina, Charlotte Evaluaton And Comparson Of The Dfferent Standards Used To Defne The Postonal Accuracy And Repeatablty Of Numercally Controlled Machnng Center Axes Brgd Mullany, Ph.D Unversty of North Carolna, Charlotte

More information

Evaluating the Effects of FUNDEF on Wages and Test Scores in Brazil *

Evaluating the Effects of FUNDEF on Wages and Test Scores in Brazil * Evaluatng the Effects of FUNDEF on Wages and Test Scores n Brazl * Naérco Menezes-Flho Elane Pazello Unversty of São Paulo Abstract In ths paper we nvestgate the effects of the 1998 reform n the fundng

More information

1. Measuring association using correlation and regression

1. Measuring association using correlation and regression How to measure assocaton I: Correlaton. 1. Measurng assocaton usng correlaton and regresson We often would lke to know how one varable, such as a mother's weght, s related to another varable, such as a

More information

DO LOSS FIRMS MANAGE EARNINGS AROUND SEASONED EQUITY OFFERINGS?

DO LOSS FIRMS MANAGE EARNINGS AROUND SEASONED EQUITY OFFERINGS? DO LOSS FIRMS MANAGE EARNINGS AROUND SEASONED EQUITY OFFERINGS? Fernando Comran, Unversty of San Francsco, School of Management, 2130 Fulton Street, CA 94117, Unted States, fcomran@usfca.edu Tatana Fedyk,

More information

The Development of Web Log Mining Based on Improve-K-Means Clustering Analysis

The Development of Web Log Mining Based on Improve-K-Means Clustering Analysis The Development of Web Log Mnng Based on Improve-K-Means Clusterng Analyss TngZhong Wang * College of Informaton Technology, Luoyang Normal Unversty, Luoyang, 471022, Chna wangtngzhong2@sna.cn Abstract.

More information

Traffic-light a stress test for life insurance provisions

Traffic-light a stress test for life insurance provisions MEMORANDUM Date 006-09-7 Authors Bengt von Bahr, Göran Ronge Traffc-lght a stress test for lfe nsurance provsons Fnansnspetonen P.O. Box 6750 SE-113 85 Stocholm [Sveavägen 167] Tel +46 8 787 80 00 Fax

More information

Forecasting the Direction and Strength of Stock Market Movement

Forecasting the Direction and Strength of Stock Market Movement Forecastng the Drecton and Strength of Stock Market Movement Jngwe Chen Mng Chen Nan Ye cjngwe@stanford.edu mchen5@stanford.edu nanye@stanford.edu Abstract - Stock market s one of the most complcated systems

More information

Using Series to Analyze Financial Situations: Present Value

Using Series to Analyze Financial Situations: Present Value 2.8 Usng Seres to Analyze Fnancal Stuatons: Present Value In the prevous secton, you learned how to calculate the amount, or future value, of an ordnary smple annuty. The amount s the sum of the accumulated

More information

Trade Adjustment and Productivity in Large Crises. Online Appendix May 2013. Appendix A: Derivation of Equations for Productivity

Trade Adjustment and Productivity in Large Crises. Online Appendix May 2013. Appendix A: Derivation of Equations for Productivity Trade Adjustment Productvty n Large Crses Gta Gopnath Department of Economcs Harvard Unversty NBER Brent Neman Booth School of Busness Unversty of Chcago NBER Onlne Appendx May 2013 Appendx A: Dervaton

More information

Residential real estate price indices as financial soundness indicators: methodological issues

Residential real estate price indices as financial soundness indicators: methodological issues Resdental real estate prce ndces as fnancal soundness ndcators: methodologcal ssues Bradford Case and Susan Wachter 1 I. Introducton The purpose of ths conference on real estate ndcators and fnancal stablty

More information

An Evaluation of the Extended Logistic, Simple Logistic, and Gompertz Models for Forecasting Short Lifecycle Products and Services

An Evaluation of the Extended Logistic, Simple Logistic, and Gompertz Models for Forecasting Short Lifecycle Products and Services An Evaluaton of the Extended Logstc, Smple Logstc, and Gompertz Models for Forecastng Short Lfecycle Products and Servces Charles V. Trappey a,1, Hsn-yng Wu b a Professor (Management Scence), Natonal Chao

More information

ADVERSE SELECTION IN INSURANCE MARKETS: POLICYHOLDER EVIDENCE FROM THE U.K. ANNUITY MARKET *

ADVERSE SELECTION IN INSURANCE MARKETS: POLICYHOLDER EVIDENCE FROM THE U.K. ANNUITY MARKET * ADVERSE SELECTION IN INSURANCE MARKETS: POLICYHOLDER EVIDENCE FROM THE U.K. ANNUITY MARKET * Amy Fnkelsten Harvard Unversty and NBER James Poterba MIT and NBER * We are grateful to Jeffrey Brown, Perre-Andre

More information

Quarterly Non-financial Accounts by Institutional Sector (QSA) in Belgium Sources and Methods

Quarterly Non-financial Accounts by Institutional Sector (QSA) in Belgium Sources and Methods Quarterly Non-fnancal Accounts by Insttutonal Sector (QSA) n Belgum and Second edton May 2010 2. TABLE OF CONTENTS 1. General descrpton... 4 1.1. Organsatonal aspects... 4 1.2.... 5 1.3.... 7 1.3.1. General

More information

Luby s Alg. for Maximal Independent Sets using Pairwise Independence

Luby s Alg. for Maximal Independent Sets using Pairwise Independence Lecture Notes for Randomzed Algorthms Luby s Alg. for Maxmal Independent Sets usng Parwse Independence Last Updated by Erc Vgoda on February, 006 8. Maxmal Independent Sets For a graph G = (V, E), an ndependent

More information

Construction Rules for Morningstar Canada Target Dividend Index SM

Construction Rules for Morningstar Canada Target Dividend Index SM Constructon Rules for Mornngstar Canada Target Dvdend Index SM Mornngstar Methodology Paper October 2014 Verson 1.2 2014 Mornngstar, Inc. All rghts reserved. The nformaton n ths document s the property

More information

Stress test for measuring insurance risks in non-life insurance

Stress test for measuring insurance risks in non-life insurance PROMEMORIA Datum June 01 Fnansnspektonen Författare Bengt von Bahr, Younes Elonq and Erk Elvers Stress test for measurng nsurance rsks n non-lfe nsurance Summary Ths memo descrbes stress testng of nsurance

More information

Calculating the high frequency transmission line parameters of power cables

Calculating the high frequency transmission line parameters of power cables < ' Calculatng the hgh frequency transmsson lne parameters of power cables Authors: Dr. John Dcknson, Laboratory Servces Manager, N 0 RW E B Communcatons Mr. Peter J. Ncholson, Project Assgnment Manager,

More information

STAMP DUTY ON SHARES AND ITS EFFECT ON SHARE PRICES

STAMP DUTY ON SHARES AND ITS EFFECT ON SHARE PRICES STAMP UTY ON SHARES AN ITS EFFECT ON SHARE PRICES Steve Bond Mke Hawkns Alexander Klemm THE INSTITUTE FOR FISCAL STUIES WP04/11 STAMP UTY ON SHARES AN ITS EFFECT ON SHARE PRICES Steve Bond (IFS and Unversty

More information

Study on Model of Risks Assessment of Standard Operation in Rural Power Network

Study on Model of Risks Assessment of Standard Operation in Rural Power Network Study on Model of Rsks Assessment of Standard Operaton n Rural Power Network Qngj L 1, Tao Yang 2 1 Qngj L, College of Informaton and Electrcal Engneerng, Shenyang Agrculture Unversty, Shenyang 110866,

More information

To manage leave, meeting institutional requirements and treating individual staff members fairly and consistently.

To manage leave, meeting institutional requirements and treating individual staff members fairly and consistently. Corporate Polces & Procedures Human Resources - Document CPP216 Leave Management Frst Produced: Current Verson: Past Revsons: Revew Cycle: Apples From: 09/09/09 26/10/12 09/09/09 3 years Immedately Authorsaton:

More information

CS 2750 Machine Learning. Lecture 3. Density estimation. CS 2750 Machine Learning. Announcements

CS 2750 Machine Learning. Lecture 3. Density estimation. CS 2750 Machine Learning. Announcements Lecture 3 Densty estmaton Mlos Hauskrecht mlos@cs.ptt.edu 5329 Sennott Square Next lecture: Matlab tutoral Announcements Rules for attendng the class: Regstered for credt Regstered for audt (only f there

More information

Gender differences in revealed risk taking: evidence from mutual fund investors

Gender differences in revealed risk taking: evidence from mutual fund investors Economcs Letters 76 (2002) 151 158 www.elsever.com/ locate/ econbase Gender dfferences n revealed rsk takng: evdence from mutual fund nvestors a b c, * Peggy D. Dwyer, James H. Glkeson, John A. Lst a Unversty

More information

THE DISTRIBUTION OF LOAN PORTFOLIO VALUE * Oldrich Alfons Vasicek

THE DISTRIBUTION OF LOAN PORTFOLIO VALUE * Oldrich Alfons Vasicek HE DISRIBUION OF LOAN PORFOLIO VALUE * Oldrch Alfons Vascek he amount of captal necessary to support a portfolo of debt securtes depends on the probablty dstrbuton of the portfolo loss. Consder a portfolo

More information

Assessment of the legal framework

Assessment of the legal framework 46 Toolkt to Combat Traffckng n Persons Tool 2.4 Assessment of the legal framework Overvew Ths tool offers gudelnes and resources for assessng a natonal legal framework. See also Tool 3.2 on crmnalzaton

More information

Intra-year Cash Flow Patterns: A Simple Solution for an Unnecessary Appraisal Error

Intra-year Cash Flow Patterns: A Simple Solution for an Unnecessary Appraisal Error Intra-year Cash Flow Patterns: A Smple Soluton for an Unnecessary Apprasal Error By C. Donald Wggns (Professor of Accountng and Fnance, the Unversty of North Florda), B. Perry Woodsde (Assocate Professor

More information

Understanding the Impact of Marketing Actions in Traditional Channels on the Internet: Evidence from a Large Scale Field Experiment

Understanding the Impact of Marketing Actions in Traditional Channels on the Internet: Evidence from a Large Scale Field Experiment A research and educaton ntatve at the MT Sloan School of Management Understandng the mpact of Marketng Actons n Tradtonal Channels on the nternet: Evdence from a Large Scale Feld Experment Paper 216 Erc

More information

Lecture 3: Force of Interest, Real Interest Rate, Annuity

Lecture 3: Force of Interest, Real Interest Rate, Annuity Lecture 3: Force of Interest, Real Interest Rate, Annuty Goals: Study contnuous compoundng and force of nterest Dscuss real nterest rate Learn annuty-mmedate, and ts present value Study annuty-due, and

More information

Course outline. Financial Time Series Analysis. Overview. Data analysis. Predictive signal. Trading strategy

Course outline. Financial Time Series Analysis. Overview. Data analysis. Predictive signal. Trading strategy Fnancal Tme Seres Analyss Patrck McSharry patrck@mcsharry.net www.mcsharry.net Trnty Term 2014 Mathematcal Insttute Unversty of Oxford Course outlne 1. Data analyss, probablty, correlatons, vsualsaton

More information

An Empirical Study of Search Engine Advertising Effectiveness

An Empirical Study of Search Engine Advertising Effectiveness An Emprcal Study of Search Engne Advertsng Effectveness Sanjog Msra, Smon School of Busness Unversty of Rochester Edeal Pnker, Smon School of Busness Unversty of Rochester Alan Rmm-Kaufman, Rmm-Kaufman

More information

ADVERSE SELECTION IN INSURANCE MARKETS: POLICYHOLDER EVIDENCE FROM THE U.K. ANNUITY MARKET

ADVERSE SELECTION IN INSURANCE MARKETS: POLICYHOLDER EVIDENCE FROM THE U.K. ANNUITY MARKET ADVERSE SELECTION IN INSURANCE MARKETS: POLICYHOLDER EVIDENCE FROM THE U.K. ANNUITY MARKET Amy Fnkelsten Harvard Unversty and NBER James Poterba MIT and NBER Revsed May 2003 ABSTRACT In ths paper, we nvestgate

More information

When Talk is Free : The Effect of Tariff Structure on Usage under Two- and Three-Part Tariffs

When Talk is Free : The Effect of Tariff Structure on Usage under Two- and Three-Part Tariffs 0 When Talk s Free : The Effect of Tarff Structure on Usage under Two- and Three-Part Tarffs Eva Ascarza Ana Lambrecht Naufel Vlcassm July 2012 (Forthcomng at Journal of Marketng Research) Eva Ascarza

More information

7.5. Present Value of an Annuity. Investigate

7.5. Present Value of an Annuity. Investigate 7.5 Present Value of an Annuty Owen and Anna are approachng retrement and are puttng ther fnances n order. They have worked hard and nvested ther earnngs so that they now have a large amount of money on

More information

Analysis of Demand for Broadcastingng servces

Analysis of Demand for Broadcastingng servces Analyss of Subscrpton Demand for Pay-TV Manabu Shshkura * Norhro Kasuga ** Ako Tor *** Abstract In ths paper, we wll conduct an analyss from an emprcal perspectve concernng broadcastng demand behavor and

More information

Institute of Informatics, Faculty of Business and Management, Brno University of Technology,Czech Republic

Institute of Informatics, Faculty of Business and Management, Brno University of Technology,Czech Republic Lagrange Multplers as Quanttatve Indcators n Economcs Ivan Mezník Insttute of Informatcs, Faculty of Busness and Management, Brno Unversty of TechnologCzech Republc Abstract The quanttatve role of Lagrange

More information

Protection, assistance and human rights. Recommended Principles and Guidelines on Human Rights and Human Trafficking (E/2002/68/Add.

Protection, assistance and human rights. Recommended Principles and Guidelines on Human Rights and Human Trafficking (E/2002/68/Add. chapter 8 Vctm assstance 385 Tool 8.3 Protecton, assstance and human rghts Overvew Ths tool dscusses the human rghts consderatons whch must be borne n mnd n protectng and assstng vctms of traffckng. Recommended

More information

1.1 The University may award Higher Doctorate degrees as specified from time-to-time in UPR AS11 1.

1.1 The University may award Higher Doctorate degrees as specified from time-to-time in UPR AS11 1. HIGHER DOCTORATE DEGREES SUMMARY OF PRINCIPAL CHANGES General changes None Secton 3.2 Refer to text (Amendments to verson 03.0, UPR AS02 are shown n talcs.) 1 INTRODUCTION 1.1 The Unversty may award Hgher

More information

Joe Pimbley, unpublished, 2005. Yield Curve Calculations

Joe Pimbley, unpublished, 2005. Yield Curve Calculations Joe Pmbley, unpublshed, 005. Yeld Curve Calculatons Background: Everythng s dscount factors Yeld curve calculatons nclude valuaton of forward rate agreements (FRAs), swaps, nterest rate optons, and forward

More information

Macro Factors and Volatility of Treasury Bond Returns

Macro Factors and Volatility of Treasury Bond Returns Macro Factors and Volatlty of Treasury Bond Returns Jngzh Huang Department of Fnance Smeal Colleage of Busness Pennsylvana State Unversty Unversty Park, PA 16802, U.S.A. Le Lu School of Fnance Shangha

More information

CHAPTER 14 MORE ABOUT REGRESSION

CHAPTER 14 MORE ABOUT REGRESSION CHAPTER 14 MORE ABOUT REGRESSION We learned n Chapter 5 that often a straght lne descrbes the pattern of a relatonshp between two quanttatve varables. For nstance, n Example 5.1 we explored the relatonshp

More information

Transition Matrix Models of Consumer Credit Ratings

Transition Matrix Models of Consumer Credit Ratings Transton Matrx Models of Consumer Credt Ratngs Abstract Although the corporate credt rsk lterature has many studes modellng the change n the credt rsk of corporate bonds over tme, there s far less analyss

More information

HARVARD John M. Olin Center for Law, Economics, and Business

HARVARD John M. Olin Center for Law, Economics, and Business HARVARD John M. Oln Center for Law, Economcs, and Busness ISSN 1045-6333 ASYMMETRIC INFORMATION AND LEARNING IN THE AUTOMOBILE INSURANCE MARKET Alma Cohen Dscusson Paper No. 371 6/2002 Harvard Law School

More information

Causal, Explanatory Forecasting. Analysis. Regression Analysis. Simple Linear Regression. Which is Independent? Forecasting

Causal, Explanatory Forecasting. Analysis. Regression Analysis. Simple Linear Regression. Which is Independent? Forecasting Causal, Explanatory Forecastng Assumes cause-and-effect relatonshp between system nputs and ts output Forecastng wth Regresson Analyss Rchard S. Barr Inputs System Cause + Effect Relatonshp The job of

More information

Testing the Infrequent Purchases Model Using Direct Measurement of Hidden Consumption from Food Stocks

Testing the Infrequent Purchases Model Using Direct Measurement of Hidden Consumption from Food Stocks Testng the Infrequent Purchases Model Usng Drect Measurement of Hdden Consumpton from Food Stocks John Gbson and Bonggeun Km Abstract Reports of zero expendture on ndvdual commodtes durng the reference

More information

Capacity-building and training

Capacity-building and training 92 Toolkt to Combat Traffckng n Persons Tool 2.14 Capacty-buldng and tranng Overvew Ths tool provdes references to tranng programmes and materals. For more tranng materals, refer also to Tool 9.18. Capacty-buldng

More information

The Application of Fractional Brownian Motion in Option Pricing

The Application of Fractional Brownian Motion in Option Pricing Vol. 0, No. (05), pp. 73-8 http://dx.do.org/0.457/jmue.05.0..6 The Applcaton of Fractonal Brownan Moton n Opton Prcng Qng-xn Zhou School of Basc Scence,arbn Unversty of Commerce,arbn zhouqngxn98@6.com

More information

What should (public) health insurance cover?

What should (public) health insurance cover? Journal of Health Economcs 26 (27) 251 262 What should (publc) health nsurance cover? Mchael Hoel Department of Economcs, Unversty of Oslo, P.O. Box 195 Blndern, N-317 Oslo, Norway Receved 29 Aprl 25;

More information

On the Optimal Control of a Cascade of Hydro-Electric Power Stations

On the Optimal Control of a Cascade of Hydro-Electric Power Stations On the Optmal Control of a Cascade of Hydro-Electrc Power Statons M.C.M. Guedes a, A.F. Rbero a, G.V. Smrnov b and S. Vlela c a Department of Mathematcs, School of Scences, Unversty of Porto, Portugal;

More information

Income Distribution, Product Quality, and International Trade

Income Distribution, Product Quality, and International Trade Income Dstrbuton, Product Qualty, and Internatonal Trade Pablo Fajgelbaum Prnceton Unversty Gene M. Grossman Prnceton Unversty June 2009 Elhanan elpman arvard Unversty Abstract We develop a framework for

More information

Statistical Methods to Develop Rating Models

Statistical Methods to Develop Rating Models Statstcal Methods to Develop Ratng Models [Evelyn Hayden and Danel Porath, Österrechsche Natonalbank and Unversty of Appled Scences at Manz] Source: The Basel II Rsk Parameters Estmaton, Valdaton, and

More information

How To Study The Nfluence Of Health Insurance On Swtchng

How To Study The Nfluence Of Health Insurance On Swtchng Workng Paper n 07-02 The nfluence of supplementary health nsurance on swtchng behavour: evdence on Swss data Brgtte Dormont, Perre- Yves Geoffard, Karne Lamraud The nfluence of supplementary health nsurance

More information

17 Capital tax competition

17 Capital tax competition 17 Captal tax competton 17.1 Introducton Governments would lke to tax a varety of transactons that ncreasngly appear to be moble across jursdctonal boundares. Ths creates one obvous problem: tax base flght.

More information

Criminal Justice System on Crime *

Criminal Justice System on Crime * On the Impact of the NSW Crmnal Justce System on Crme * Dr Vasls Sarafds, Dscplne of Operatons Management and Econometrcs Unversty of Sydney * Ths presentaton s based on jont work wth Rchard Kelaher 1

More information

How Sets of Coherent Probabilities May Serve as Models for Degrees of Incoherence

How Sets of Coherent Probabilities May Serve as Models for Degrees of Incoherence 1 st Internatonal Symposum on Imprecse Probabltes and Ther Applcatons, Ghent, Belgum, 29 June 2 July 1999 How Sets of Coherent Probabltes May Serve as Models for Degrees of Incoherence Mar J. Schervsh

More information

SPEE Recommended Evaluation Practice #6 Definition of Decline Curve Parameters Background:

SPEE Recommended Evaluation Practice #6 Definition of Decline Curve Parameters Background: SPEE Recommended Evaluaton Practce #6 efnton of eclne Curve Parameters Background: The producton hstores of ol and gas wells can be analyzed to estmate reserves and future ol and gas producton rates and

More information

Searching and Switching: Empirical estimates of consumer behaviour in regulated markets

Searching and Switching: Empirical estimates of consumer behaviour in regulated markets Searchng and Swtchng: Emprcal estmates of consumer behavour n regulated markets Catherne Waddams Prce Centre for Competton Polcy, Unversty of East Angla Catherne Webster Centre for Competton Polcy, Unversty

More information

Management Quality and Equity Issue Characteristics: A Comparison of SEOs and IPOs

Management Quality and Equity Issue Characteristics: A Comparison of SEOs and IPOs Management Qualty and Equty Issue Characterstcs: A Comparson of SEOs and IPOs Thomas J. Chemmanur * Imants Paegls ** and Karen Smonyan *** Current verson: November 2009 (Accepted, Fnancal Management, February

More information

A Probabilistic Theory of Coherence

A Probabilistic Theory of Coherence A Probablstc Theory of Coherence BRANDEN FITELSON. The Coherence Measure C Let E be a set of n propostons E,..., E n. We seek a probablstc measure C(E) of the degree of coherence of E. Intutvely, we want

More information

Latent Class Regression. Statistics for Psychosocial Research II: Structural Models December 4 and 6, 2006

Latent Class Regression. Statistics for Psychosocial Research II: Structural Models December 4 and 6, 2006 Latent Class Regresson Statstcs for Psychosocal Research II: Structural Models December 4 and 6, 2006 Latent Class Regresson (LCR) What s t and when do we use t? Recall the standard latent class model

More information

Wage inequality and returns to schooling in Europe: a semi-parametric approach using EU-SILC data

Wage inequality and returns to schooling in Europe: a semi-parametric approach using EU-SILC data MPRA Munch Personal RePEc Archve Wage nequalty and returns to schoolng n Europe: a sem-parametrc approach usng EU-SILC data Marco Bagett and Sergo Sccchtano Unversty La Sapenza Rome, Mnstry of Economc

More information

DEFINING AND MEASURING FAIRNESS IN FINANCIAL CONTRIBUTION TO THE HEALTH SYSTEM 1

DEFINING AND MEASURING FAIRNESS IN FINANCIAL CONTRIBUTION TO THE HEALTH SYSTEM 1 DEFINING AND MEASURING FAIRNESS IN FINANCIAL CONTRIBUTION TO THE HEALTH SYSTEM 1 Chrstopher JL Murray Felca Knaul Phlp Musgrove Ke Xu Ke Kawabata GPE Dscusson Paper Seres : No.24 EIP/GPE/FAR World Health

More information

How Large are the Gains from Economic Integration? Theory and Evidence from U.S. Agriculture, 1880-2002

How Large are the Gains from Economic Integration? Theory and Evidence from U.S. Agriculture, 1880-2002 How Large are the Gans from Economc Integraton? Theory and Evdence from U.S. Agrculture, 1880-2002 Arnaud Costnot MIT and NBER Dave Donaldson MIT, NBER and CIFAR PRELIMINARY AND INCOMPLETE August 15, 2011

More information

The Developing World Is Poorer Than We Thought, But No Less Successful in the Fight against Poverty

The Developing World Is Poorer Than We Thought, But No Less Successful in the Fight against Poverty Public Disclosure Authorized Pol i c y Re s e a rc h Wo r k i n g Pa p e r 4703 WPS4703 Public Disclosure Authorized Public Disclosure Authorized The Developing World Is Poorer Than We Thought, But No

More information