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Differential Rates of Return and Residual Information Sets (A Discrete Approach)

  • Rodolfo Apreda

It is our purpose here to show the deep relationship between differential rates and their underlying information sets. To accomplish our task, we will make for the following stages: In the first place, we deal with scaled changes along a period and conditional rates of change within a discrete environment. Next, rings and algebras of sets are addressed, so as to provide information sets with a suitable structure and give grounds to differential rates. Afterwards, differential rates are presented rigourosly, and two important lemmas follow through: the first one makes possible the use of differential rates with restrictive assumptions on their information sets, as customary applications seem to require. The second lemma attempts a broader outcome in a general setting so as to cope with differential rates defined on more realistic information sets. Both lemmas contributerigorously to shape definitions of narrow and broad differential rates on residual information sets.

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Paper provided by Universidad del CEMA in its series CEMA Working Papers: Serie Documentos de Trabajo. with number 177.

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Date of creation: Oct 2000
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Handle: RePEc:cem:doctra:177
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  1. Rodolfo Apreda, 1999. "Transactionally Efficient Markets, Dynamic Arbitrage and Microstructure," CEMA Working Papers: Serie Documentos de Trabajo. 151, Universidad del CEMA.
  2. Rodolfo Apreda, 2000. "A transaction costs approach to financial assets rates of return," CEMA Working Papers: Serie Documentos de Trabajo. 161, Universidad del CEMA.
  3. Rodolfo Apreda, 1998. "Dynamic Arbitrage Gaps for Financial Assets," CEMA Working Papers: Serie Documentos de Trabajo. 134, Universidad del CEMA.
  4. Kent Daniel & Sheridan Titman, 2000. "Market Efficiency in an Irrational World," NBER Working Papers 7489, National Bureau of Economic Research, Inc.
  5. Rodolfo Apreda, 2001. "The Brokerage of Asymmetric Information," CEMA Working Papers: Serie Documentos de Trabajo. 190, Universidad del CEMA.
  6. Sanford J Grossman & Joseph E Stiglitz, 1997. "On the Impossibility of Informationally Efficient Markets," Levine's Working Paper Archive 1908, David K. Levine.
  7. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
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