The valuation of unit-linked policies with or without surrender options

Weixi Shen, Huiping Xu

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

This paper is concerned with the fair valuation of a kind of equity-linked policies with interest rate guarantees, and we deal with this issue in two aspects: the policies with or without surrender options before maturity date. The method we adopted in this paper is a Partial Differential Equation Approach (PDE). The PDE models for the fair valuation of the policies are derived, and their analytic solutions are obtained when surrender is not allowed. For the valuation of the policy with surrender options, the problem is reduced to a PDE model with free boundaries. The impact of the parameters appearing in the model on the surrender options is investigated by both theoretical and numerical analysis.

Original languageEnglish (US)
Pages (from-to)79-92
Number of pages14
JournalInsurance: Mathematics and Economics
Volume36
Issue number1
DOIs
StatePublished - Feb 22 2005
Externally publishedYes

Fingerprint

Valuation
Unit
Partial differential equation
Equity
Interest Rates
Free Boundary
Date
Analytic Solution
Numerical Analysis
Theoretical Analysis
Model
Policy
Surrender option
Partial differential equations

Keywords

  • Free boundary
  • Surrender
  • Unit-linked policy

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Economics and Econometrics

Cite this

The valuation of unit-linked policies with or without surrender options. / Shen, Weixi; Xu, Huiping.

In: Insurance: Mathematics and Economics, Vol. 36, No. 1, 22.02.2005, p. 79-92.

Research output: Contribution to journalArticle

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