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Martingale Pricing

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  • Kerry Back

    ()
    (Jones Graduate School of Business, Rice University, Houston, Texas 77005)

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    Abstract

    The fact that properly normalized asset prices are martingales is the basis of modern asset pricing. One normalizes asset prices to adjust for risk and time preferences. Both adjustments can be made simultaneously via a stochastic discount factor, or one can adjust for risk by changing probabilities and adjust for time using the return on an asset, for example, the risk-free return. This paper reviews this methodology and the circumstances in which it is feasible. Three examples are given to illustrate the delicate link in continuous-time models between the absence of arbitrage opportunities and the feasibility of martingale pricing.

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    File URL: http://www.annualreviews.org/doi/abs/10.1146/annurev-financial-073009-104041
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    Bibliographic Info

    Article provided by Annual Reviews in its journal Annual Review of Financial Economics.

    Volume (Year): 2 (2010)
    Issue (Month): 1 (December)
    Pages: 235-250

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    Handle: RePEc:anr:refeco:v:2:y:2010:p:235-250

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    Related research

    Keywords: arbitrage; risk-neutral probability; equivalent martingale measure; stochastic discount factor; state price density process; change of numeraire;

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    Cited by:
    1. Yaroslav Ivanenko & Illya Pasichnichenko, 2013. "Uncertainty and absence of arbitrage opportunity," Papers 1307.5602, arXiv.org.
    2. Nikolai Dokuchaev, 2011. "On martingale measures and pricing for continuous bond-stock market with stochastic bond," Papers 1108.0719, arXiv.org, revised Apr 2014.

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