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Decisions in Economics and Finance

, Volume 38, Issue 1, pp 1–19 | Cite as

Markets with random lifetimes and private values: mean reversion and option to trade

  • Jakša Cvitanić
  • Charles Plott
  • Chien-Yao Tseng
Article

Abstract

We consider a market in which traders arrive at random times, with random private values for the single-traded asset. A trader’s optimal trading decision is formulated in terms of exercising the option to trade one unit of the asset at the optimal stopping time. We solve the optimal stopping problem under the assumption that the market price follows a mean-reverting diffusion process. The model is calibrated to experimental data taken from Alton and Plott (Principles of continuous price determination in an experimental environment with flows of random arrivals and departures. Working paper, Caltech, 2010), resulting in a very good fit. In particular, the estimated long-term mean of the traded prices is close to the theoretical long-term mean at which the expected number of buys is equal to the expected number of sells. We call that value long-term competitive equilibrium, extending the concept of flow competitive equilibrium of Alton and Plott (Principles of continuous price determination in an experimental environment with flows of random arrivals and departures. Working paper, Caltech, 2010).

Keywords

Trading with private values Equilibrium price Optimal exercise of options Experimental markets Tick-by-tick trading 

JEl Classification

G11 G12 

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Copyright information

© Springer-Verlag Italia 2014

Authors and Affiliations

  • Jakša Cvitanić
    • 1
  • Charles Plott
    • 1
  • Chien-Yao Tseng
    • 1
  1. 1.Division of the Humanities and Social SciencesCalifornia Institute of TechnologyPasadenaUSA

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