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Ergodicity, State Prices, and Long Bond Returns

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  • Anthony Tessitore
  • Nilufer Usmen

Abstract

We present an analysis of price systems in securities markets with infinitely many time periods and infinitely many uncertain states of the world. A key result is that a Markov price system (MPS) has a unique representation in terms of the returns on a known set of bonds. The result implies that securities prices are the discounted value of dividends, where discount factors are the reciprocal of the returns on a long‐horizon discount bond.

Suggested Citation

  • Anthony Tessitore & Nilufer Usmen, 1998. "Ergodicity, State Prices, and Long Bond Returns," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 85-91, January.
  • Handle: RePEc:bla:mathfi:v:8:y:1998:i:1:p:85-91
    DOI: 10.1111/1467-9965.00046
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