Utility from bequeathing savings or Utility from accumulating in the Ramsey growth model

Khelifi, Atef (2014): Utility from bequeathing savings or Utility from accumulating in the Ramsey growth model.

Abstract

Despite ‘joy of giving models’ have been extensively examined in the literature, the Ramsey growth model has never been explored under the assumption of a direct preference for bequeathing savings that are reinvested. This assumption implies a Utility function depending on both consumption and savings, which may also be motivated as one that captures a direct preference for thriftiness or wealth accumulation arguably involved. The resulting growth model generalizes those accounting for the capitalist spirit as Zou (1994), and shows that the restrictive standard one is perhaps not the actual optimized version of the Solow model. (JEL O41, E21, D91).

• Item Type: MPRA Paper
• Language: English
• Keywords: Ramsey model; Optimal Growth; Optimal control; Savings decision; bequest; joy-of-giving
• Subjects: D - Microeconomics > D5 - General Equilibrium and Disequilibrium; D - Microeconomics > D9 - Intertemporal Choice > D91 - Intertemporal Household Choice ; Life Cycle Models and Saving; E - Macroeconomics and Monetary Economics > E1 - General Aggregative Models; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models

References

Andreoni, James. “Impure Altruism and Donations to Public Goods: A Theory of Warm-Glow Giving.” Economic Journal, June 1990, 100, pp.464-477.

Bakshi, Gurdip; Chen Zhiwu. “The Spirit of Capitalism and Stock-Market Prices.” American Economic Review, March 1996, 86 (1), 133-57.

Barro, Robert. “Are Government Bonds Net Wealth?” Journal of Political Economy, December 1974, 82(6), pp. 1095-1117. Barro & Sala-i-Martin. “Economic Growth.” Mc Graw Hill, 1995.

Caroll, Christopher. “Why do the Rich Save so Much?” Does Atlas Shrug? The Economic Consequences of Taxing the Rich, Ed. by Joel B. Slemrod, Harvard University Press, 2000, pp. 465-484

Cornero, Giacomo; Jeanne, Olivier. “Status, the Distribution of Wealth, and Growth.” The Scandinavian Journal of Economics, June 2001, 103(2), pp. 283-293.

Diamond, Peter. (1965) “National Debt in a Neoclassical Growth Model.” American Economic Review, December 1965, 55, pp. 1126-1150.

Dynan K., Skinner J. & Zeldes S. “The importance of Bequests and Life-Cycle Saving in Capital Accumulation: A New Answer.” American Economic Review, May 2002, 92 (2), 274-278.

Hof, Franz; Wirl, Franz. “Wealth Induced Multiple Equilibria in Small Open Economy Versions of the Ramsey Model.” Homo Oeconomicus, 2008, 25(1), pp. 107-128.

Kurz, Mordecai. “Optimal Economic Growth and Wealth Effects.” International Economic Review, October 1968, 9(3), pp. 348-357

Kuznitz, Arik; Kandel, Shmuel; Fos; Vyacheslav. “A Portfolio Choice Model with Utility from Anticipation of Future Consumption and Stock Mean Reversion.” European Economic Review, November 2008, 52(8), pp.1338-1352.

Laitner, John. “Random Earnings Differences, Lifetime Liquidity Constraints, and Altruistic Intergenerational Transfers.” Journal of Economic Theory, December 1992, 58(2), pp. 135-170

Mankiw, Gregory; Romer, David; Weil, David. “A Contribution to the Empirics of Economic Growth.” The Quarterly Journal of Economics, May 1992, 107(2), pp. 407-437.

Modigliani, Franco. “Life Cycle, Individual Thrift, and the Wealth of Nations.” American Economic Review, June 1986, 76(3), pp.297-313

Modigliani, Franco; Brumberg, Richard. “Utility Analysis and the Consumption Function: An Interpretation of Cross-Section Data.” In K. Kurihara, Ed., Post-Keynesian Economics. New Brunswick, New Jersey: Rutgers University Press, 1954.

Phelps, Edmund. "The Golden Rule of Capital Accumulation." American Economic Review, September 1961, vol. 51, pp 638-643.

Ramsey, Franck. “A Mathematical Theory of the Saving.” Economic Newspaper, December 1928, 38 (152), pp. 543-559

Samuelson, Paul. “A Note on Measurement of Utility.” Review of Economic Studies, February 1937, 4(2), pp. 155-161.

Schättler, Heinz; Ledzewicz, Urszula, “Geometric Optimal Control: Theory, Methods and Example.” Springer Verlag, 2012.

Solow, Robert. “A Contribution to the Economic Theory of Growth”, Quarterly Newspaper of Economics, February 1956, 70(1), pp. 65-94.

Weber, Max. “The Protestant Ethic and the Spirit of Capitalism”; Unwin Hyman, London & Boston, 1930.

Yaari, Menahem. “Uncertain Lifetime, Life Insurance and the Theory of the Consumer.” Review of Economic Studies, April 1965, 32(2), pp. 137-150.

Zou, Heng-Fu. “'The Spirit of Capitalism and Long-Run Growth”, European Journal of Political Economy, July 1994, 10(2), pp. 279-293.