What will the likely range of my wealth be?

  • Raymond Kan
  • , Guofu Zhou

    Research output: Contribution to journalArticlepeer-review

    6 Scopus citations

    Abstract

    The median is often a better measure than the mean in evaluating a portfolio's long-term value. The standard plug-in estimate of the median, however, is too optimistic. It has a substantial upward bias that can easily exceed a factor of 2. This article provides an unbiased forecast of the median of a portfolio's long-term value. It also provides an unbiased forecast of an arbitrary percentile of a portfolio's long-term value distribution, which enables the construction of the likely range of a portfolio's long-term value for any given confidence level. The article offers an unbiased forecast of the probability of a portfolio's long-term value falling within a given interval. The article's unbiased estimators give a more accurate assessment of a portfolio's long-term value than do traditional estimators and are useful for long-term planning and investment.

    Original languageEnglish
    Pages (from-to)68-77
    Number of pages10
    JournalFinancial Analysts Journal
    Volume65
    Issue number4
    DOIs
    StatePublished - Jul 2009

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