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Interest rate paradox

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  • Ivanov, Sergei

Abstract

Maximization of result from operations with securities is not always ultimate goal of participants. For example, result can be exchanged into different currencies. There can be different utility functions that transform result into some asset. Different risk-neutral probability densities could be derived from one set of option prices by participants using different utility functions. Integral of derived density function must be equal to one. There have to be no such utility function for which this condition is not met. Otherwise, derived function is not a probability density. This allows using of risk-free profitable arbitrage strategies. However it was shown that such utility function almost always exist. It is hard to use on nowadays markets. By this reason such opportunity was called “weak arbitrage”.

Suggested Citation

  • Ivanov, Sergei, 2013. "Interest rate paradox," MPRA Paper 47723, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:47723
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    References listed on IDEAS

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    1. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    2. Lucio Sarno, 2005. "Viewpoint: Towards a solution to the puzzles in exchange rate economics: where do we stand?," Canadian Journal of Economics, Canadian Economics Association, vol. 38(3), pages 673-708, August.
    3. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    4. Shleifer, Andrei & Vishny, Robert W, 1997. " The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
    5. Oleg Bondarenko, 2003. "Statistical Arbitrage and Securities Prices," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 875-919, July.
    6. Huisman, Ronald & Koedijk, Kees & Kool, Clemens & Nissen, Francois, 1998. "Extreme support for uncovered interest parity," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 211-228, February.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    market efficiency; probability density; interest rate; arbitrage; efficiency conditions;

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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