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On the martingale-fair index of return for investment funds

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  • Leslaw Gajek
  • Marek Kaluszka

Abstract

A concept of martingale-fair index of return, consistent with Arbitrage Free Pricing Theory, is introduced. An explicit formula for the average rate of return of a group of investment/pension funds in a discrete time stochastic model is derived and several properties of this index are shown. In particular, it is proven to be martingale-fair, i.e. be a martingale provided the prices of assets on the financial market form a vector martingale. The problem of merger of the funds is treated in detail.

Suggested Citation

  • Leslaw Gajek & Marek Kaluszka, 2015. "On the martingale-fair index of return for investment funds," Papers 1501.03768, arXiv.org.
    • Handle: RePEc:arx:papers:1501.03768
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    References listed on IDEAS

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