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1 -- * $ # * ( ) $ Institute of Economic Research, Hitotsubashi University, 2-1 Naka, Kunitachi, Tokyo JAPAN. Phone: ; Fax: ; . # Department of Economics, Stanford University, Stanford CA 94305, USA. Phone: ; Fax: ; . 1

2 -- 1. (Walker and Jodha, 1986) 1 (Besley, 1995; Deaton, 1997; Fafchamps, 1992; Morduch, 1995; Townsend, 1994; 1995a; 1995b) 2 (Deaton, 1997; 1995; Udry, 1997) 3 1 "idiosyncratic": 2 (International Crop Research Institute for the Semi-Arid Tropics; ICRISAT) Village Level Studies (VLS) Living Standard Measurement Surveys (LSMS) (1998) 3 consumption smoothing (1996) 2

3 A (Binswanger, 1980) (interlinked contracts) (Besley, 1995; Rosenzweig, 1988) Morduch (1994) (chronic poverty) (transient 4 ( 2 ) (risk management) Morduch (1995) (income smoothing) 4 (stochastic poverty) 3

4 Rosenzweig and Binswanger (1993) ICRISAT Kurosaki (1998; Chapter 6) Kurosaki and Fafchamps (1998) (loss management) 5 Paxson (1992) 2 Park (1996) 16 Rozenweig and Wolpin (1993) ICRISAT ICRISAT Townsend (1995a) Fachamps, Udry, and Czukas (1998) ICRISAT 5 (risk coping) 6 (Leland, 1968) 4

5 20-30 Walker and Ryan (1990; pp.87-88) Kochar (1995) ICRISAT 7 Jacoby and Skoufias (1997) Sawada (1998) (self-insurance) Besley (1995) Eswaran and Kotwal (1989) McKinnon (1973) (financial repression) Stiglitz and Weiss (1981) Carter (1988) (Carroll, 1997; Deaton, 1992) (Deaton, 1991) 8 7 (Employment Guarantee Scheme: EGS) (Cain, 1981) 8 Rosenzweig (1988) ICRISAT 5

6 (mutual insurance) A B (state) 50 state A B S1 3 S S1 A B S1 S2 A B S1 2 S2 1.5 (Kimball, 1988; Coate and Ravallion, 1993) S2 (1.5) 6

7 S1 (2) (Townsend, 1993; 1994; Udry, 1994) Townsend (1994) 9 Townsend (1994) 3 ICRISAT Morduch (1991) Townsend (1994) ICRISAT Udry (1994) Udry (1994) (state-contingent loan) Townsend (1995b) Townsend (1995a) Townsend (1995a) LSMS 9 Townsend (1994) 1998 Frisch Medal 7

8 (Deaton, 1997, Chap. 6) Ravallion and Dearden (1988) Platteau and Abraham (1987) (reciprocal credit) Lund and Fafchamps (1997) Fafchamps (1992) Caldwell, Reddy, and Caldwell (1986) 9 Lucas and Stark (1985) 10 8

9 ICRISAT Rosenzweig and Stark (1989) (Morduch, 1995, p.103) Cochrane (1991) Mace (1991) Hayashi (1996) Udry (1994) Townsend (1994) 11 N y it = y(ε it, η t ) ε it η t B Negishi (1960) e t = {ε 1t, ε 2t,, ε it,,ε Nt, η t } s t st (Negishi, 1960) ω i 11 Townsend (1993) Fafchamps (1997 9

10 (2-1) Max s. t. i= 1 N N i= 1 c ω i it t= 1 N i= 1 s y( ε t ρ π it, η st t u ( c ) it ) Y( η t ), ( s, t), ρ Y λ t ω u' ( c ) ( ), ( i, s, t), (2-2) i ρ st it = λ ηt η t (2-2) (CARA) u(c) = (-1/α)exp(-αc u (c) = exp(-αc (2-2) (2-3) c it c it-1 = α -1 [ln ln(λ(η t )/ s,t ) + ln(λ(η t-1 )/ s,t-1 )] = c * t c * t-1 c * t t (2-3) CARA (2-3) R (CRRA) u(c) = c (1-R) /(1-R) u (c) = c -R 10

11 (2-4) lnc it ln c it-1 = R -1 [ln ln(λ(η t )/ s,t ) + ln(λ(η t-1 )/ s,t-1 )] = lnc * t lnc * t-1 lnc * t t CRRA (2-4) 2.3. A Townsend (1994) 10 ICRISAT 12 (2-5) c it = a 0 + a 1 c * t + ζ Y it + u it a 0 a 1 ζ Y it u it CARA c CRRA CARA CRRA Y it (2-5) c * t H 0 : ζ = 0 c * t 12 11

12 [Townsend (1994), Mace (1991)] (2-3) (2-2) a 1 Townsend (1994) (2-6) c it c * t = a 0 + ζ Y it + u it 2-2 CARA Ravallion and Chaudhuri (1997) 3 Townsend (1994) ζ 2-2 ζ (2-5) (2-7) c it = Σ t δ t D t + ζ Y it + u it D t δ t ζ 12

13 (2-5) c * t Y it ζ ζ Cochrane (1991) (2-7) 3 4 (2-7) ICRISAT (RHS) Jalan and Ravallion (1996) (International Food Policy Research Institute; IFPRI) Gillani (1996) 2-2 ζ ICRISAT ICRISAT RHS 4 ζ (2-7) ζ ζ B ζ=0 ( B) (2-7) 13

14 3. (1) 3.1 PERI (Sheikhupura District) (Farooqabad) (Rice-Wheat Zone) Kharif Rabi / /91 (Punjab Economic Research Institute: PERI) (Kurosaki, 1998, Chap.2) / x Kurosaki (1998) 14

15 3.2 Ravallion and Chaudhuri (1997) (2-7) 5 (2-7) ζ ζ ζ (Kurosaki, 1998, Chap.2, Chap. 3) ζ PERI C 3 (2-7) c CARA CRRA CARA Y CRRA CARA CRRA CARA 3.3 Ravallion and Chaudhuri (1997) 15

16 OLS 13 (Kurosaki, 1998) CARA CRRA (balanced) 59 x3 ( 2)=118 (unbalanced) 152 A A % 3 4 ζ CARA 10% Huber-White 14 Kurosaki (1998), p.28 16

17 4 CRRA 10% CARA CRRA % 5% / %(Pakistan, Govt. of, 1993) PERI 72.3% CARA-CRRA t

18 3-4 Y k it k CARA (3-1) c it = Σ t δ t D t + Σ k ζ k Y k it + u it, CRRA /91 48% 33% 19% l c n % CARA CRRA 1% 0.30% 3-3 ( B, 1994 ) 15 CRRA

19 ( 2 ) (Kurosaki, 1998, Chap.7) 3.5 ( 3-5)

20 (2-7) (2-5) CRRA ICRISAT Ravallion and Chaudhuri (1997) (2-7) (2-2) (fixed effects) (random effects) ( 3-5) CARA CRRA 3.6 PERI 20

21 Udry (1994) PERI (Kurosaki, 1998, Chap.6; Kurosaki and Fafchamps, 1998) (Kurosaki and Fafchamps, 1998) (, 1994) (Kurosaki, 1998, Chap.4) Kurosaki and Fafchamps (1998) IFPRI IFPRI IFRPI 21

22 4. (2) 4.1 IFPRI International Food Policy Research Institute; IFPRI (Pakistan Food Security Management Project) (Alderman and Garcia, 1993; Adams and He, 1995) / / Pasha and Hasan (1982) 3 ( (Attock) (Badin) (Dir)) (Faisalabad) (Alderman, 1996) (stratified random sampling) (mandi) (Alderman and Garcia, 1993)

23 6 IFPRI Adams and He (1995) Alderman and Garcia (1993) Behrman, Foster, and Rosenzweig (1997) Alderman, Behrman, Ross and Sabot (1996a) Alderman, Behrman, Ross and Sabot (1996b) Alderman and Gertlar (1997) Fafchamps and Quisumbing (1998) Gillani (1994, 1996) Sawada (1998) Alderman (1996) IFPRI Alderman (1996) 5 IFPRI (2-2) Gillani (1996) IFPRI Ravallion and Chaudhuri (1997) (2-7) 17 A 17 Huber-White 23

24 PERI IFPRI CARA CRRA H 0 : ζ = 0 6 (Alderman and Garcia, 1993; Adams and He, 1995) ζ IFPRI CARA 3 CRRA CRRA ζ CARA ζ 24

25 ζ PERI (2-7) d (4-1) c idt = Σ t δ dt D t + ζ Y idt + u idt (4-2) ln c idt = Σ t δ dt D t + ζ ln Y idt + u idt C D ζ H 0 : ζ = 0 25

26 (4-1) (4-2) (inter-district) E D E 4-4 D CARA E ζ (3-1) CARA (4-3) c idt = Σ t δ dt D t + Σ k ζ k Y k idt + u idt (Kurosaki, 1998, Chap.4) 26

27 CARA ( 4-1) CARA CRRA E IFPRI PERI 18 (1994) 27

28 ζ CARA CRRA ζ IFPRI Gillani (1994) Alderman (1996) B 28

29 2 Udry (1994) Alderman (1996) Adams and He (1995) 1986/ Adams and He (1995) 75% ζ ζ

30 ζ 4-6 (1997) ζ Amemiya (1985) I CARA 4-7 CRRA ζ ζ (Gillani, 1994; Alderman, 1996) 30

31 (kammi) 4-7 (Kurosaki, 1998, Chap.5) 20 31

32 (EGS) (1977) 32

33 A Panel Study of Income Dynamics (PSID) Altonji, Hayashi, and Kotlikoff (1992), Cochrane (1991), Hayashi, Altonji, and Kotlikoff (1996) Consumer Expenditure Survey (CES) Mace (1991), Nelson (1994) [ (1996) ] Altonji, Hayashi, and Kotlikoff (1992) Mace (1991) Nelson (1994) Mace (1991) Cochrane (1991) Altug and Miller (1990) Hayashi, Altonji, and Kotlikoff (1996) Altug and Miller (1990) Ohtake and Saito (1998) (Saito, 1998) Van Wincoop (1994) Tesar (1993) Obstfeld (1993) Canova and Ravn (1996) OECD Lewis (1996) Tesar (1995) 33

34 B π π ε η η π π π ε η η ε η η ε η η ε η η π π π ε η η ε η η ε η η ε η η ζ π π π ε η η η η ε η η η η 34

35 η η ζ π π π ε η η η ε η η ζ ζ ε η η η η π π π ε η η ε η η ε η η 35

36 π π π η η η η η η π π π η η η ζ ζ ζ ζ ζ ζ 36

37 References Adams, R. H. Jr. and Jane J. He (1995), Sources of Income Inequality and Poverty in Rural Pakistan, IFPRI Research Report 102. Alderman, H. (1996), Saving and Economic Shocks in Rural Pakistan, Journal of Development Economics 51, Alderman, H. and P. Gertler (1997), Family Resources and Gender Difference in Human Capital Investments: The Demand for Children's Medical Care in Pakistan, in L. Haddad, J. Hoddinott, and H. Alderman eds., Intrahousehold Resource Allocation in Developing Countries: Models, Methods, and Policy, Johns Hopkis University Press. Alderman, H., J. Behrman, D. Ross and R. Sabot (1996a), The returns to Endogenous Human Capital in Pakistan's Rural Wage Labour Market, Oxford Bulletin of Economics and Statistics 58, Alderman, H., J. Behrman, D. Ross and R. Sabot (1996b), Decomposing the Gender Gap in Cognitive Skills in a Poor Rural Economy, Journal of Human Resources, 31, Alderman, Harold and Marito Garcia (1993), Poverty, Household Food Security, and Nutrition in Rural Pakistan, IFPRI Research Report 96. Altonji, j., F. Hayashi, and L. Kotlikoff (1992), Is the Extended Family Altruistically Linked? Direct Tests Using Micor Data, American Economic Review 82, Altug, S. and R. Miller (1990), Household Choices in Equilibrium, Econometrica 58, Amemiya, Takeshi (1985), Advanced Econometrics, Harvard University Press. Behrman, J., A. D. Foster, and M. R. Rosenzweig (1997), Dynamics of Agricultural Production and the Calorie-income Relationship: Evidence from Pakistan, Journal of Econometrics 77, Besley, T. (1995), Nonmarket Institutions for Credit and Risk Sharing in Low-Income Countries, Journal of Economic Perspectives 9, Binswanger, H. P. (1980), Attitude toward Risk: Experimental Measurement in Rural India, American Journal of Agricultural Economics 62, Cain, M. (1981), Risk and Insurance: Perspectives on Fertility and Agrarian Change in India and Bangladesh, Population and Development Review 7, Caldwell, J. C., P. H. Reddy, and P. Caldwell (1986), Periodic High Risk as a Cause of Fertility Decline in a Changing Rural Environment: Survival Strategies in the South Indian Drought, Economic Development and Cultural Change 34, Canova, F. and M. O. Ravn (1996), International Consumption Risk Sharing, International Economic Review 37, Carroll, D. (1997), Buffer Stock Saving and the Permanent Income Hypothesis, Quarterly Journal of Economics 112, Carter, Michael R. (1988), Equilibrium Credit Rationing of Small Farm Agriculture, Journal 37

38 of Development Economics 28, Coate, S. and M. Ravallion (1993), Reciprocity Without Commitment: Characterization and Performance of Informal Insurance Arrangements, Journal of Development Economics 40, Cochrane, J. H. (1991), A Simple Test of Consumption Insurance, Journal of Political Economy 99, Deaton, A. (1990), Saving in Developing Countries: Theory and Review, World Bank Economic Review, Special Issue, Proceedings of the Annual World Bank Conference on Development Economics. Deaton, A. (1991), Saving and Liquidity Constraints, Econometrica 69, Deaton, A. (1992), Understanding Consumption, Oxford University Press. Deaton, A. (1995), Data and Econometric Tools for Development Analysis, in J. Behrman and T.N. Srinivasan, eds., Handbook of Development Economics, Vol. 3A, North-Holland, Deaton, A. (1997), The Analysis of Household Surveys: A Microeconometric Approach to Development Policy, Johns Hopkins University Press. Eswaran, M. and A. Kotwal (1989), Credit as Insurance in Agrarian Economies, Journal of Development Economics 31, Fafchamps, M. (1992), Solidarity Network in Pre-Industrial Societies: Rational Peasants with a Moral Economy, Economic Development and Cultural Change 41, Fafchamps, M. (1997), Rural Poverty, Risk, and Development, mimeo, Stanford University. Dec Fafchamps, Marcel and Agnes R. Quisumbing (1998), Human Capital, Productivity, and Labor Allocation in Rural Pakistan, forthcoming, Journal of Human Resources. Fafchamps, Marcel, Christopher Udry, and Katherine Czukas (1998), Drought and Saving in West Africa: Are Livestock a Buffer Stock?, Journal of Development Economics 55, Gillani, Syeda Fizza (1994), Evidence of Risk Sharing and the Role of Transfers and Loans: The Case of Rural Pakistan, unpublished Ph.D. dissertation, Department of Economics, Boston University. Gillani, Syeda Fizza (1996), Risk-sharing in Rural Pakistan, Pakistan Development Review 35(1): Hayashi, F. (1996), Analysis of Household Saving: Past, Present, and Future, Japanese Economic Review 47, (1996) 1996 : Hayashi, F., J. Altonji, and L. Kotlikoff (1996), Risk-Shraing between and within Families, Econometrica 64,

39 (1977) 18(6&7), Jacoby, H. and E. Skoufias (1997), Risk, Financial Markets and Human Capital in a Developing Countries, Review of Economic Studies 64, Jalan, Jyotsna, and M. Ravallion (1996), Consumption Insurance and Savings Behavior in Rural China, mimeo, World Bank. Kimball, Miles S. (1988), Farmers' Cooperatives as Behavior Toward Risk, American Economic Review 78, Kochar, A. (1995), Explaining Household Vulnerability to Idiosyncratic Income Shocks, AEA Papers and Proceedings 85, (1994) : (1998) : Kurosaki, Takashi (1998), Risk and Household Behavior in Pakistan s Agriculture, Institute of Developing Economies. Kurosaki, Takashi and Marcel Fafchamps (1998), Insurance Market Efficiency and Crop Choice in Pakistan, Discussion Paper Series A No.358, November 1998, Institute of Economic Research, Hitotsubashi University. Leland, H. E. (1968), Saving and Uncertainty: The Precautionary Demand for Saving, Quarterly Journal of Economics 82, Lewis, Karen K. (1996), What Can Explain the Apparent Lack of International Consumption Risk Sharing?., Journal of Political Economy 104, Lucas, R. E. B. and O. Stark (1985), Motivations to Remit: Evidence from Botswana, Journal of Political Economy 97, Lund, S. and M. Fafchamps (1997), Risk-Sharing Networks in Rural Philippines, mimeo, Stanford University. Mace, B. (1991), Full Insurance in the Presence of Aggregate Uncertainty, Journal of Political Economy 99. McKinnon, R. I. (1973), Money and Capital in Economic Development, The Brookings Institution, Washington D.C.. Morduch, J. (1991), Consumption Smoothing across Space: Test for Village-Level Response to Risk, mimeo, Harvard University. Morduch, J. (1994), Poverty and Vulnerability, AEA Papers and Proceedings 84, Morduch, J. (1995), Income Smoothing and Consumption Smoothing, Journal of Economic Perspectives 9,

40 Nag-Chowdhury, Dipa (1991), Pakistan Rural Household Survey: Documentation of Primary Files, mimeo, International Food Policy Research Institue. Negishi, T. (1960), Welfare Economics and Existence of an Equilibrium for a Competitive Economy, Metroeconomica 12, Nelson, J. (1994), On Testing for Full Insurance Using Consumer Expenditure Survey Data, Journal of Political Economy 102, Obstfeld, M. (1993), Are Industrial-Country Consumption Risks Globally Diversified?, NBER Working Paper No Ohtake, F. and M. Saito (1998), A Test of Full Insurance: The Case of Japan, mimeo. Pakistan, Government of (1993), Household Integrated Economic Survey (HIES) , Karachi: Federal Bureau of Statistics. Park, A. F. (1996), Household Grain Management under Uncertainty in China s Poor Areas, unpublished Ph.D. Dissertation, Food Research Institute, Stanford University. Pasha, H. and T. Hasan (1982), Development Ranking of Districts in Pakistan, Pakistan Journal of Applied Economics 1, Paxson, C. H. (1992), Using Weather Variability to Estimate the Response of Savings to Transitory Income in Thailand, American Economic Review 82, Platteau, J.-P. and A. Abraham (1987), An Inquiry into Quasi-Credit Constraints: The Role of Reciprocal Credit and Interlinked Deals in Small-scale Fishing Communities, Journal of Development Studies 23, Ravallion, Martin and Shubham Chaudhuri (1997), Risk and Insurance in Village India: Comment, Econometrica 65(1): Ravallion, M. and L. Dearden (1988), Social Security in a "Moral Economy": An Empirical Analysis for Java, Review of Economics and Statistics 70, Rosenzweig, M. R. (1988), Risk, Implicit Contracts and the Family in Rural Areas of Low- Income Countries, Economic Journal 98, Rosenzweig, M. R. and H. P. Binswanger (1993), Wealth, Weather Risk and the Composition and Profitability of Agricultural Investments, Economic Journal 103, Rosenzweig, M. R. and O. Stark (1989), Consumption Smoothing, Migration, and Marriage: Evidence from Rural India, Journal of Political Economy 97, Rosenzweig, M. R. and K. I. Wolpin (1993), Credit Constraints, Consumption Smoothing, and the Accumulation of Durable Production Assets in Low-Income Countries: Investments in Bullocks in India, Journal of Political Economy 101, Rosenzweig, M. R. and O. Stark (1989), Consumption Smoothing, Migration, and Marriage: Evidence from Rural India, Journal of Political Economy 97, (1996). Saito, Makoto (1998), Dynamic Allocation and Pricing in Incomplete Markets, Institute for 40

41 Monetary and Economic Studies Discusstion Paper N. 98-E-12, Bank of Japan. Sawada, Y (1998), Human Capital Investment in Pakistan: Implications of Micro-Evidence from Rural Villages, forthcoming, Pakistan Development Review Papers and Proceedings. Stiglitz, J. E. and A. Weiss (1981), Credit Rationing in Markets with Imperfect Information, American Economic Review 71, Tesar, L. L. (1993), International Risk-Sharing and Non-Traded Goods, Journal of International Economics 35, Tesar, L. L. (1995), Evaluating the Gains from International Risksharing, Carnegie- Rochester Conference Series on Public Policy 42, Townsend, R. M. (1993), Financial Systems in Northern Thai Villages, mimeo, University of Chicago. Townsend, R. M. (1994), Risk and Insurance in Village India, Econometrica 62, Townsend, R. M. (1995a), Consumption Insurance: An Evaluation of Risk-Bearing Systems in Low-Income Economies, Journal of Economic Perspectives 9, Townsend, R. M. (1995b), Financial Systems in Northern Thai Villages, Quarterly Journal of Economics, November, Udry, C. (1994), Risk and Insurance in a Rural Credit Market: An Empirical Investigation in Northern Nigeria, Review of Economic Studies 61, Udry, C. (1997), Recent Advances in Empirical Microeconomic Research in Poor Countries: An Annotated Bibliography, Journal of Economic Education 28, Van Wincoop, E. (1994), Welfare Gains from International Risksharing, Journal of International Economics 34, Walker, T. S. and N. S. Jodha (1986), "How Small Farm Households Adapt to Risk," in P. Hazell et. al. eds., Crop Insurance for Agricultural Development: Issues and Experience, Johns Hopkins University Press. Walker, T. S. and J. G. Ryan (1990), Village and Household Economies in India's Semi-Arid Tropics, the Johns Hopkins University Press. 41

42

43 3-1: A CARA CRRA $ (0.540) (0.446) (1.468) (1.283) (0.432) (0.178) (0.424) (0.117) *** *** *** *** (8.112) (8.269) (7.599) (8.641) ** ** (1.475) (2.013) (1.509) (2.155) *** *** *** *** (3.641) (4.285) (3.674) (4.408) (0.995) (0.643) (0.842) (0.837) *** *** *** *** (3.663) (8.405) (4.668) (8.706) ** ** ** (2.006) (1.530) (2.001) (2.053) *** *** *** *** (7.683) (9.186) (7.498) (8.415) * ** (1.230) (1.981) (1.523) (2.294) (0.777) (0.769) (1.083) (1.043) (0.287) (0.461) (0.038) (1.219) ** ** * * (2.183) (2.058) (1.769) (1.740) (0.758) (0.354) (0.512) (0.696) (0.677) (1.578) (0.855) (1.478) R R F *** *** *** ***. 1) CARA CRRA. 2) OLS. 3) Huber-White t. * 10%, ** 5%, *** 1% ( t ). F.* 10%, ** 5%, *** 1%. 4)

44 3-2: CARA CRRA Model A: _ (0.777) (0.769) (1.083) (1.043) _ (0.287) (0.461) (0.038) (1.219) _ ** ** * * (2.183) (2.058) (1.769) (1.740) _ (0.758) (0.354) (0.512) (0.696) _ (0.677) (1.578) (0.855) (1.478) Model B: (0.589) (0.867) (0.787) (0.848) Model C: (0.490) (0.823) (0.712) (0.922) 2 B vs. A (df=4) * 8.00 * C vs. A (df=12) * * ** ** C vs. B (df=8) *. 1) CARA CRRA. 2). 3) OLS. 4) Huber-White t * 10%, ** 5%, *** 1% ( t ) 43

45 3-3: CARA CRRA Model A: _ (0.932) (0.885) (1.391) (0.763) _ * (0.525) (0.905) (1.341) (1.831) _ (0.233) (0.375) (0.529) (1.050) _ * (0.253) (1.685) (0.528) (1.164) _ (0.444) (0.948) (0.261) (0.727) Model B: (0.414) (0.318) (0.180) (0.328) Model C: (0.279) (0.257) (0.123) (0.430) 2 B vs. A (df=4) * C vs. A (df=12) C vs. B (df=8) ) CARA CRRA. 2)-4). 44

46 3-4: CARA CRRA (0.403) (0.191) (0.654) (0.836) (0.456) (0.203) (0.903) (0.968) ** * ** (2.061) (1.730) (2.349) (1.065) (0.996) (0.337) (0.315) (1.322) (0.768) (1.008) (0.570) (0.552) (0.605) (0.378) (0.464) (0.247). 1) ( B). 2)-4). 45

47 3-5: CARA CRRA A (0.487) (0.013) (0.352) (0.331) B (0.449) (0.708) (0.700) (0.188) C. C * * (1.895) (1.915) (1.110) (1.121) F ** 1.86 *** *** C (0.057) (0.264) (0.797) (0.154) *** *. 1) ( B). 2)-4). 5) F- F(59,48) F(92,49). 6) 2 (11) 7) t CARA 10% 46

48 4-1 %, ( ) IFPRI 47

49 4-2. ( A) CARA CRRA t t t t D1/ (2.396)** (2.405)** (4.043)*** (4.223)*** (1.874)* (2.019)* (1.484) (1.316) (2.765)*** (1.937)* (4.575)*** (1.225) (3.841)*** (4.327)*** (1.547) (1.284) (0.306) (0.324) (1.336) (1.611) (2.574)** (1.843)* (2.530)** (2.058)** D2/ (2.564)** (1.502) (3.573)*** (2.064)** (2.337)** (1.529) (3.259)*** (2.413)** (0.638) (0.980) (2.228)** (1.637) (1.165) (1.010) (0.010) (0.553) (1.195) (0.915) (1.662)* (1.579) (0.557) (0.126) (0.524) (0.550) (2.830)*** (2.020)* (2.739)*** (3.114)*** (1.295) (0.026) (2.099)* (2.047)** D3/ (1.368) (0.754) (1.791)* (1.116) (2.504)** (2.255)** (1.970)* (1.754)** (1.341) (1.229) (2.295)** (1.733)** (1.343) (0.022) (1.507) (0.693) (0.824) (1.810)* (1.057) (1.376) (4.951)*** (1.975)* (3.099)*** (2.810)*** (1.393) (0.794) (0.594) (1.000) (0.886) (0.762) (1.264) (0.336) (1.684)* (0.020) (2.847)*** (0.021) (1.176) (0.981) (1.201) (0.764) (0.936) (1.049) (1.118) (0.841) (3.247)*** (1.460) (1.236) (0.099) (4.709)*** (1.726) (1.804)* (0.074) (1.188) (1.214) (1.648) (1.145) (1.810)* (1.593) (2.615)** (2.547)** (2.980)*** (2.641)** (3.585)*** (3.319)*** (0.353) (0.228) (2.801)*** (1.723)* (2.956)*** (3.658)*** (3.731)*** (4.324)*** (1.247) (2.166)** (1.576) (1.998)**

50 4-2 ( ). ( A) CARA CRRA t t t t D4/ (3.246)*** (2.797)*** (3.375)*** (3.184)*** (0.468) (0.503) (2.107)** (0.038) (3.459)*** (1.561) (2.010)* (1.578) (0.100) (0.162) (1.844)* (2.007)* (1.603) (1.369) (2.230)** (1.856)* (2.043)* (0.509) (2.302)** (1.382) (0.390) (0.449) (0.790) (1.074) (1.502) (1.771)* (0.275) (0.321) (0.794) (0.774) (1.154) (0.569) (6.645)*** (4.504)*** (2.272)** (1.920)* (0.511) (2.188)** (1.320) (2.108)**

51 4-3 (%) CARA CRRA ( )

52 4-4 ( D E) CARA CRRA t t t t D (2.296)** (2.601)*** (6.527)*** (5.411)*** (0.861) (0.134) (3.779)*** (3.791)*** (6.100)*** (3.411)*** (7.247)*** (4.629)*** (2.149)** (2.081)** (4.371)*** (4.525)*** E (3.381)*** (9.896)*** (2.940)*** (9.771)*** 1) CARA CRRA 2) ( ) t 3) * 10 * 5 *** 1 51

53 4-5. ( D E) CARA CRRA t t t t D (1.834)* (2.623)*** (3.742)*** (3.660)*** (0.163) (0.735) (1.066) (0.809) (0.371) (0.239) (0.355) (1.323) (0.595) (1.839)* (0.881) (0.418) (1.263) (0.635) (1.066) (0.011) (1.479) (1.490) (0.355) (0.736) (1.007) (1.549) (0.285) (0.929) (0.629) (1.304) (2.796)*** (0.993) (0.489) (0.171) (1.329) (0.828) (0.866) (0.568) (0.056) (0.529) (0.834) (1.401) (3.726)*** (4.374)*** (0.174) (0.979) (0.307) (0.762) E (2.347)** (4.841)*** (0.510) (1.376) (0.603) (0.006) (3.249)*** (3.330)*** (1.353) (0.183) (0.195) (3.042)*** 1) CARA CRRA 2) 3 ( ) t 3) * 10 * 5 *** 1 52

54 L S L M XL S L M S L XL M XL S L M XL S M L XL S L M S XL M L L S L M M S L M XL S M L L S M XL S L XL M M S XL L S L S M M S M L M S M L L S L M L S L M M L M S M S M L L S L M M L M S L M L S M S M L S M S L M S M L L M L S M S M M M S M L M S M L M S M L XL S L M XL S L M M L XL S S L M XL L S XL M M S M L S L XL M L S L M M L XL S M L XL S L S M L XL S M L S M L S ) S M L XL 53

55 z z cv (1.602) density (0.711) social (0.844) lando (2.230)** cons (2.222)** (1.941)* (1.147) (0.943) (1.321) (1.546) ) t * 10 ** 5 54

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