We derive the pricing formulas for guarantees whose guaranteed minimum rates of return are set relative to cross-currency stochastic rates of return, “GCSRs” for short, via a cross-currency framework. GCSRs are often embedded in contracts which nclude life and pension insurance policies, guaranteed investment contracts and index-linked bonds, etc. The valuation of such guarantees has not been investigated in previous literature regarding guarantees. Our research finds that valuing GCSRs via a single-currency framework which is adopted in previous research on guarantees causes a significant underestimation of GCSRs under both maturity and multi-period guarantee. The underestimation of multi-period guarantee is much more significant than that of maturity guarantee. As a result, the pricing formulas derived in our research are more suitable, tractable and feasible for practice than those in previous relevant literature.
Asian Finance Association and Taiwan Finance Association 2012 Joint International Conference=2012 亞洲財務學會&臺灣財務金融學會聯合研討會, 30p.