Pricing pension buy-outs under stochastic interest and mortality rates

ARIK A., Yolcu-Okur Y., ŞAHİN Ş., UĞUR Ö.

SCANDINAVIAN ACTUARIAL JOURNAL, sa.3, ss.173-190, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/03461238.2017.1328370
  • Dergi Adı: SCANDINAVIAN ACTUARIAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus
  • Sayfa Sayıları: ss.173-190
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Pension buy-out is a special financial asset issued to offload the pension liabilities holistically in exchange for an upfront premium. In this paper, we concentrate on the pricing of pension buy-outs under dependence between interest and mortality rates risks with an explicit correlation structure in a continuous time framework. Change of measure technique is invoked to simplify the valuation. We also present how to obtain the buy-out price for a hypothetical benefit pension scheme using stochastic models to govern the dynamics of interest and mortality rates. Besides employing a non-mean reverting specification of the Ornstein-Uhlenbeck process and a continuous version of Lee-Carter setting for modeling mortality rates, we prefer Vasicek and Cox-Ingersoll-Ross models for short rates. We provide numerical results under various scenarios along with the confidence intervals using Monte Carlo simulations.