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On the relative efficiency of nth order and DARA stochastic dominance rules

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Author Info
Antonella Basso, Paolo Pianca

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Abstract

It is known that third order stochastic dominance implies DARA dominance while no implications exist between higher orders and DARA dominance. A recent contribution points out that, with regard to the problem of determining lower and upper bounds for the price of a financial option, the DARA rule turns out to improve the stochastic dominance criteria of any order. In this paper the relative efficiency of the ordinary stochastic dominance and DARA criteria for alternatives with discrete distributions are compared, in order to see if the better performance of DARA criterion is also suitable for other practical applications. Moreover, the operational use of the stochastic dominance techniques for financial choices is deepened.

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Publisher Info
Article provided by Taylor and Francis Journals in its journal Applied Mathematical Finance.

Volume (Year): 4 (1997)
Issue (Month): 4 (December)
Pages: 207-222
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Handle: RePEc:taf:apmtfi:v:4:y:1997:i:4:p:207-222

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Related research
Keywords: Stochastic Dominance; Decreasing Absolute Risk Aversion; Financial Efficient Sets; Dynamic Programming;

References listed on IDEAS
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  1. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March. [Downloadable!] (restricted)
  2. Levy, Haim, 1994. "Absolute and Relative Risk Aversion: An Experimental Study," Journal of Risk and Uncertainty, Springer, vol. 8(3), pages 289-307, May.
  3. Bawa, Vijay S., 1975. "Optimal rules for ordering uncertain prospects," Journal of Financial Economics, Elsevier, vol. 2(1), pages 95-121, March. [Downloadable!] (restricted)
  4. Whitmore, G A, 1970. "Third-Degree Stochastic Dominance," American Economic Review, American Economic Association, vol. 60(3), pages 457-59, June. [Downloadable!] (restricted)
  5. Jean, William H, 1980. " The Geometric Mean and Stochastic Dominance," Journal of Finance, American Finance Association, vol. 35(1), pages 151-58, March. [Downloadable!] (restricted)
  6. Jean, William H, 1984. " The Harmonic Mean and Other Necessary Conditions for Stochastic Dominance," Journal of Finance, American Finance Association, vol. 39(2), pages 527-34, June. [Downloadable!] (restricted)
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