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A generalization of Ramsey rule on discount rate with regime switching

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  • Park, Seyoung

Abstract

I generalize the following rule of Ramsey (1928) on the discount rate with regime switching: the discount rate is the sum of the rate of pure time preference and the product of the consumption elasticity of marginal utility and the consumption growth rate. The Ramsey rule can be extended to regime-dependent interest-rate formulas for discounting future regime changes. Notwithstanding debate about empirically plausible values of the rate of pure time preference, I theoretically show that the effect of pure time preference is overwhelmingly dominated by the effect of the regime switching parameter. This is closely associated with consumption smoothing consequences across regimes.

Suggested Citation

  • Park, Seyoung, 2018. "A generalization of Ramsey rule on discount rate with regime switching," Economics Letters, Elsevier, vol. 170(C), pages 147-150.
    • Handle: RePEc:eee:ecolet:v:170:y:2018:i:c:p:147-150
    DOI: 10.1016/j.econlet.2018.06.011
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    References listed on IDEAS

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    1. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    2. Bong‐Gyu Jang & Hyeng Keun Koo & Hong Liu & Mark Loewenstein, 2007. "Liquidity Premia and Transaction Costs," Journal of Finance, American Finance Association, vol. 62(5), pages 2329-2366, October.
    3. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
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    More about this item

    Keywords

    Discount rate; Regime switching; Equilibrium;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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