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A model for the optimal selection of lenders

Author

Listed:
  • Inmaculada Rodríguez-Puerta

    (University of Pablo de Olavide)

  • Alberto A. Álvarez-López

    (UNED)

Abstract

A private placement is the sale of securities as a way of raising capital. Most private placements are offered to a small number of select investors, at a fixed rate that can be set by the issuer. The solicitation of investors can be simultaneous or sequential, and the chosen style may influence the associated cost. Sequential solicitation is generally more expensive over time since it is carried out gradually, although simultaneous solicitation can be more expensive if it involves a greater number of investors. In this paper, a theoretical model is developed that allows the two styles of solicitation to be compared. It is demonstrated that sequential solicitation generally involves a lower cost than simultaneous solicitation, although it does require a greater number of investors. Conditions are determined under which these two styles of solicitation are equivalent in cost and in the number of investors required. Specifically, it is obtained that, if the group of investors is homogeneous, then both styles of solicitation will have the same monetary cost and will require the same number of investors.

Suggested Citation

  • Inmaculada Rodríguez-Puerta & Alberto A. Álvarez-López, 2022. "A model for the optimal selection of lenders," Annals of Operations Research, Springer, vol. 313(2), pages 1269-1284, June.
    • Handle: RePEc:spr:annopr:v:313:y:2022:i:2:d:10.1007_s10479-021-03988-3
    DOI: 10.1007/s10479-021-03988-3
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    References listed on IDEAS

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