# Minimum investment requirement, financial market imperfection and self-fulfilling belief

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## Abstract

We develop a model in which a strategic complementarity in saving decisions arises due to a minimum investment requirement and financial market imperfection. We explore the role of self-fulling beliefs in determining the long run dynamics. The model exhibits a wide range of dynamic phenomena such as a poverty trap, a big push and a sunspot equilibrium, depending on the level of financial market imperfection. They account for excessive volatility and a sudden change in the saving rate and its macroeconomic consequences without any shocks to fundamentals.

## Keywords

Financial market imperfection Strategic complementarity Saving rate Self-fulfilling belief Sunspot multiple equilibria## JEL Classification

D91 E21 E32 E44 O11 O16## Notes

### Acknowledgments

We thank Costas Azariadis, Yannis Ioannides, Tatsushi Oka, Kwanho Shin, Enrico Spolaore, Yong Wang for their helpful suggestions and comments as well as Wang Zi for excellent research assistance. The financial support of Singapore Ministry of Education, Academic Research Fund Tier 1 R-122-000-112-112, City University of New York, PSC-CUNY Research Award 60030-40 41, and College of Staten Island Provost’s Research Scholarship Award is gratefully acknowledged.

## References

- Acemoglu D, Zilibotti F (1997) Was prometheus unbound by chance? Risk, diversification, and growth. J Policital Econ 105:709–751CrossRefGoogle Scholar
- Aghion P, Bolton P (1997) A trickle-down theory of growth and development with debt overhang. Rev Econ Stud 64:151–172CrossRefGoogle Scholar
- Banerjee A, Newman A (1993) Occupational choice and the process of development. J Polictical Econ 101:274–298CrossRefGoogle Scholar
- Beck T, Demirgüç-Kunt A, Levine R (2007) Finance, inequality and the poor. J Econ Growth 12:27–49CrossRefGoogle Scholar
- Benhabib J, Farmer R (1999) Indeterminacy and sunspots in macroeconomics. In: Taylor J.B., Woodford M. (eds) Handbook of Macroeconomics, vol 1, pp 387–448CrossRefGoogle Scholar
- Bulow J, Geanakoplos J, Klemperer P (1985) Multimarket oligopoly: strategic subsitutes and complements. J Polictical Econ 95:488–511CrossRefGoogle Scholar
- Brueckner M, Kikuchi T, Vachadze G (2017) Economic growth, domestic saving rates and borrowing contraints, mimeoGoogle Scholar
- Cooper R, John A (1988) Coordinating coordination failures in keynesian models. Q J Econ 103:441–463CrossRefGoogle Scholar
- Galor O, Zeira J (1993) Income distribution and macroeconomics. Rev Econ Stud 60:35–52CrossRefGoogle Scholar
- Gardini L, Hommes C, Tramontana F, De Vilder R (2009) Forward and backward dynamics in implicitly defined overlapping generations models. J Econ Behav Organ 71:110–129CrossRefGoogle Scholar
- Gimet C, Lagoarde-Sego T (2011) A closer look at financial development and income distribution. J Bank Finan 37:1698–1713CrossRefGoogle Scholar
- Guidolin M, La Jeunesse E (2007) The decline in the us personal saving rate: is it real and is it a puzzle? Fed Reserve Bank St. Louis Rev 89:491–514Google Scholar
- Iwaisako T, Okada K (2012) Understanding the decline in Japan’s saving rate in the new millennium. Jpn World Econ 24:163–173CrossRefGoogle Scholar
- Krugman P (1991) History versus expectations. Q J Econ 106:651–667CrossRefGoogle Scholar
- Levine R (2005) Finance and growth: theory and evidence. In: Aghion P, Durlauf S (eds) Handbook of Economic Growth. 1st edn. Ch. 12, pp 865–934Google Scholar
- Li H, Squire L, Zou H (1998) Explaining international and intertemporal variations in income inequality. Econ J 108:26–43CrossRefGoogle Scholar
- Matsuyama K (1991) Increasing returns, industrialization, and indeterminacy of equilibrium. Q J Econ 106:617–650CrossRefGoogle Scholar
- Matsuyama K (2002) Explaining diversity: symmetry-breaking in complementarity games. Amerx Econ Rev 92:241–246CrossRefGoogle Scholar
- Matsuyama K (2004) Financial market globalization, symmetry-breaking, and endogenous inequality of nations. Econometrica 72:853–884CrossRefGoogle Scholar
- Mitra T, Montrucchio L, Privileggi F (2004) The nature of the steady state in models of optimal growth with uncertainty. Econ Theory 23:39–72CrossRefGoogle Scholar
- Mitra T, Privileggi F (2004) Cantor type invariant distributions in the theory of optimal growth under uncertainty. J Differ Equ Appl 10:489–500CrossRefGoogle Scholar
- Mitra T, Privileggi F (2009) On lipschitz continuity of the iterated function system in a stochastic optimal growth model. J Math Econ 45:185–198CrossRefGoogle Scholar
- Mody A, Ohnsorge F, Sandri D (2012) Precautionary savings in the great recession. IMF Econ Rev 60:114–138CrossRefGoogle Scholar
- Mookherjee D, Ray D (2003) Persistent inequality. Rev Econ Stud 70:369–393CrossRefGoogle Scholar
- Moranfeè F (1998) Savings in chile: what went right?. J Dev Econ 57:201–228CrossRefGoogle Scholar
- Murphy K, Shleifer K, Vishny A (1989) Indtustrilaization and the big push. J Polit Econ 97:1003–1026CrossRefGoogle Scholar
- Park D, Rhee C (2005) Saving, growth, and demographic change in korea. J Japan Int Econ 19:394–413CrossRefGoogle Scholar
- Piketty T (1997) The dynamics of the wealth distribution and the interest rate with credit rationing. Rev Econ Stud 64:173–189CrossRefGoogle Scholar
- Samwick A (2000) Is pension reform conducive to higher saving?. Rev Econ Stat 82:264–272CrossRefGoogle Scholar
- Schmidt-Hebbel K, Börsch-Supan A, Miegel M (2001) Chile’s pension revolution coming of age Pension Reform in Six Countries: What Can We Learn from Each Other?. Springer-Verlag, Berlin, pp 139–170CrossRefGoogle Scholar