• Title of article

    Comparing present and accumulated value of annuities with different interest rates

  • Author/Authors

    Fathi Manesh, Sirous Department of Statistics - Faculty of Science - University of Kurdistan, Sanandaj, Iran

  • Pages
    5
  • From page
    621
  • To page
    625
  • Abstract
    Assume we have k immediate (due)-annuities with different interest rates. Let i=(i1,i2,...,ik) and i∗=(i∗1,i∗2,...,i∗k) be two vectors of interest rates such that i∗ is majorized by i. It's shown that sum of present and accumulated value of annuities-immediate with interest rate i is grater than sum of present value of annuities-immediate with interest rate i∗. We also prove the similar results for annuities-due.
  • Keywords
    Arithmetic mean , Majorization , Schur-convex function
  • Journal title
    Astroparticle Physics
  • Serial Year
    2019
  • Record number

    2464585