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    政大機構典藏 > 商學院 > 財務管理學系 > 期刊論文 >  Item 140.119/72718


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/72718


    Title: Valuation of the Interest Rate Guarantee Embedded in Defined Contribution Pension Plans / Insurance: Mathematics and Economic
    Authors: 岳夢蘭
    Yang, Sharon S.;Yueh, Meng-Lan;Tang, Chun-Hua
    Contributors: 財管系
    Date: 2008-06
    Issue Date: 2015-01-08 18:03:23 (UTC+8)
    Abstract: In this research, we derive the valuation formulae for a defined contribution pension plan associated with the minimum rate of return guarantees. Different from the previous studies, we work on the rate of return guarantee which is linked to the δ-year spot rate. The payoffs of interest rate guarantees can be viewed as a function of the exchange option. By employing Margrabe’s [Margrabe, W., 1978. The value of an option to exchange one asset for another. Journal of Finance 33, 177–186] option pricing approach, we derive general pricing formulae under the assumptions that the interest rate dynamics follow a single-factor HJM (1992) [Heath. D. et al., 1992. Bond pricing and the term structure of interest rates: a new methodology for contingent claims valuation. Econometrica 60, 77–105] interest rate model and the asset prices follow a geometric Brownian motion. The volatility of the forward rates is assumed to be exponentially decaying. The formula is explicit for valuing maturity guarantee (type-I guarantee). For multi-period guarantee (type-II guarantee), the analytical formula only exists when the guaranteed rate is the one-year spot rate. The accuracy of the valuation formulae is illustrated with numerical analysis. We also investigate the effect of mortality and the sensitivity of key parameters on the value of the guarantee. We find that type-II guarantee is much more costly than the type-I guarantee, especially with a long duration policy. The closed form solution provides the advantage in valuing pension guarantees.
    Relation: Insurance: Mathematics and Economic, 42(3), 920-934
    Data Type: article
    Appears in Collections:[財務管理學系] 期刊論文

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