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Willingness to overpay for insurance and for consumer credit: search and risk behavior under price dispersion

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  • Malakhov, Sergey

Abstract

When income growth under price dispersion reduces the time of search and raises prices of purchases, the increase in purchase price can be presented as the increase in the willingness to pay for insurance or the willingness to pay for consumer credit. The optimal consumer decision represents the trade-off between the propensity to search for beneficial insurance or consumer credit, and marginal savings on insurance policy or consumer credit. Under price dispersion the indirect utility function takes the form of cubic parabola, where the risk aversion behavior ends at the saddle point of the comprehensive insurance or the complete consumer credit. The comparative static analysis of the saddle point of the utility function discovers the ambiguity of the departure from risk-neutrality. This ambiguity can produce the ordinary risk seeking behavior as well as mathematical catastrophes of Veblen-effect’s imprudence and over prudence of family altruism. The comeback to risk aversion is also ambiguous and it results either in increasing or in decreasing relative risk aversion. The paper argues that the decreasing relative risk aversion comes to the optimum quantity of money.

Suggested Citation

  • Malakhov, Sergey, 2014. "Willingness to overpay for insurance and for consumer credit: search and risk behavior under price dispersion," MPRA Paper 59720, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:59720
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    References listed on IDEAS

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    1. Sergey MALAKHOV, 2014. "Willingness to Overpay for Insurance and for Consumer Credit: Search and Risk Behavior Under Price Dispersion," Expert Journal of Economics, Sprint Investify, vol. 2(3), pages 109-119.
    2. Mehrling, Perry, 1995. "A note on the optimum quantity of money," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 249-258.
    3. Hubbard, R Glenn & Skinner, Jonathan & Zeldes, Stephen P, 1995. "Precautionary Saving and Social Insurance," Journal of Political Economy, University of Chicago Press, vol. 103(2), pages 360-399, April.
    4. Guariglia, Alessandra & Rossi, Mariacristina, 2004. "Private medical insurance and saving: evidence from the British Household Panel Survey," Journal of Health Economics, Elsevier, vol. 23(4), pages 761-783, July.
    5. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    6. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    7. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
    8. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56, pages 279-279.
    9. Becker, Gary S, 1981. "Altruism in the Family and Selfishness in the Market Place," Economica, London School of Economics and Political Science, vol. 48(189), pages 1-15, February.
    10. Sergey Malakhov, 2014. "Satisficing Decision Procedure and Optimal Consumption-Leisure Choice," International Journal of Social Science Research, Macrothink Institute, vol. 2(2), pages 138-151, September.
    11. Ehrlich, Isaac & Becker, Gary S, 1972. "Market Insurance, Self-Insurance, and Self-Protection," Journal of Political Economy, University of Chicago Press, vol. 80(4), pages 623-648, July-Aug..
    12. Malakhov, Sergey, 2013. "Money flexibility and optimal consumption-leisure choice under price dispersion," MPRA Paper 45197, University Library of Munich, Germany.
    13. George J. Stigler, 1961. "The Economics of Information," Journal of Political Economy, University of Chicago Press, vol. 69, pages 213-213.
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    Cited by:

    1. Sergey MALAKHOV, 2015. "Propensity to Search: Common, Leisure, and Labor Models of Consumer Behavior," Expert Journal of Economics, Sprint Investify, vol. 3(1), pages 63-76.
    2. Sergey MALAKHOV, 2014. "Willingness to Overpay for Insurance and for Consumer Credit: Search and Risk Behavior Under Price Dispersion," Expert Journal of Economics, Sprint Investify, vol. 2(3), pages 109-119.
    3. Sergey MALAKHOV, 2016. "Law of One Price and Optimal Consumption-Leisure Choice Under Price Dispersion," Expert Journal of Economics, Sprint Investify, vol. 4(1), pages 1-8.

    More about this item

    Keywords

    consumer search; risk; insurance; credit; optimum quantity of money; Veblen effect; family altruism; mathematical catastrophe;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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