Economics at your fingertips  

Variable annuities with a threshold fee: valuation, numerical implementation and comparative static analysis

Anna Rita Bacinello () and Ivan Zoccolan
Additional contact information
Anna Rita Bacinello: University of Trieste
Ivan Zoccolan: Oracle Italia S.r.l.

Decisions in Economics and Finance, 2019, vol. 42, issue 1, No 4, 49 pages

Abstract: Abstract In this paper we deal with a variable annuity which provides guarantees at death and maturity financed through the application of a state-dependent fee structure of the threshold type. Our first aim is to test the use of least squares Monte Carlo methods (LSMC) for the numerical implementation of the valuation model. In fact, special care is needed when applying LSMC, due to the shape of the surrender region. To this end we introduce a quite general framework, under which we derive a theoretical result that allows us to stem the numerical errors arising in the regression step of the valuation algorithm. The second aim of the paper is to analyse numerically the interaction between the various contract components, in particular fee rates/thresholds and surrender penalties, under alternative policyholder behaviours. This analysis turns out to be very useful, in particular when addressing the problem of the contract design.

Keywords: Variable annuities; State-dependent fees; Surrender option; LSMC (search for similar items in EconPapers)
JEL-codes: C61 C63 G17 G22 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed

Downloads: (external link) Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link:

Ordering information: This journal article can be ordered from
http://www.springer. ... ry/journal/10203/PS2

DOI: 10.1007/s10203-019-00255-w

Access Statistics for this article

Decisions in Economics and Finance is currently edited by Paolo Ghirardato

More articles in Decisions in Economics and Finance from Springer, Associazione per la Matematica
Bibliographic data for series maintained by Sonal Shukla ().

Page updated 2020-04-23
Handle: RePEc:spr:decfin:v:42:y:2019:i:1:d:10.1007_s10203-019-00255-w