政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/77182

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/77182

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政大典藏 > College of Commerce > Department of Money and Banking > Theses > Item 140.119/77182

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/77182

Title:	考量死亡、利率、脫退與流動性風險下生死合險契約之盈餘分析 Surplus Analysis for Endowment Contracts Considering Mortality, Interest Rate, Surrender and Liquidity Risks
Authors:	林偉翔 Lin, Wei Hsiang
Contributors:	林士貴 Lin, Shih Kuei 林偉翔 Lin, Wei Hsiang
Keywords:	脫退隨機利率生死合險流動性風險 Surrender Stochastic Interest Rate Process Endowment Contract Liquidity Risk
Date:	2015
Issue Date:	2015-08-03 13:21:40 (UTC+8)
Abstract:	當保險契約被發行時，保險公司必須被要求盡可能的具備承擔未來不可知的風險的能力。本文將死亡風險、利率風險、脫退風險以及流動性風險引入，並針對生死合險契約進行盈餘分析。在此以 Vasicek (1977) 所提出之隨機利率模型、根據被保險人理性行為作為基礎之脫退模型以及引入簡化後的 Longstaff、Mithal與Nies (2005)流動性風險債券價格來描述各種風險。根據上述模型假設下計算保費及準備金，遂以蒙地卡羅模擬法量化源於各種風險之盈餘。最後，本文計算保險公司之盈餘對各風險參數之敏感度分析，並計算各期破產與發生流動性問題之可能性。 Once insurance contracts are issued, the insurers should be capable to deal with the unknown conditions in the future as possible. In this paper, we analyze the impact of mortality, interest rate, surrender and liquidity risks on the surplus of endowment contract. We model the interest rate risk by Vasicek model, the surrender rate based on the rational behavior of policyholders and introduce the discounted price of zero coupon bonds as the liquidity risk. Under such assumptions, we compute the premium and reserve, demonstrate the simulated insurance surplus, and finally exhibit the statistics of the surplus from different sources. The simulated results show the sensitivity of the surplus to the parameters of the risks. At the same time, we also show the probabilities of insolvency and illiquidity of the insurer before the maturity date of the contract due to the fluctuating surrender rate and liquidity risk resulting from the stochastic interest rate.
Reference:	[1] Albizzati, M. O., Geman, H., 1994. Interest rate risk management and valuation of the surrender option in life Insurance policies. The Journal of Risk and Insurance. Vol. 61, 616-637. [2] Bauer, D., Kiesel, R., Kling, A., Ruβ, J., 2006. Risk neutral valuation of participating life insurance contracts. Insurance: Mathematics and Economics. Vol. 39, 171-183. [3] Berkowitz, J., 2000b. Incorporating liquidity risk into value-at-risk models. The Journal of Derivatives. Working Paper, University of California, Irvine. [4] Brigo, D., Mercurio, F., 2007. Interest rate models: Theory and practice with smile, inflation and credit. Springer-Verlag Berlin Heidelberg. [5] Bowers, N.L., Gerber, H.U., Hickman, J.C., Jones, D.A., Nesbitt, C.J., 1997. Actuarial mathematics. In: The Society of Actuaries. Itasca, Illinois. [6] De Giovanni, 2010. Lapse rate modeling: A rational expectation approach. Scandinavian Actuarial Journal. Vol. 1, 56-68. [7] Eling, M., Kiesenbauer, D., 2013. What policy features determine life insurance lapse? An analysis of the German market. The Journal of Risk and Insurance. Vol. 81, 241-269. [8] Eling, M., Kochanski, M., 2012. Research on lapse in life insurance: What has been done and what needs to be done? The Journal of Risk Finance. Vol. 14, 392 –413. [9] Fier, S., Liebenberg, A.P., 2013. Life insurance lapse behavior. North American Actuarial Journal. Vol. 17, 153-167. [10] Geneva Association, 2012. Surrenders in the Life Insurance Industry and Their Impact on Liquidity. [11] Kuo, W., Tsai, C., Chen, W., 2003. An empirical study on the lapse rate: The cointegration approach. The Journal of Risk and Insurance. Vol. 70, 487-508. [12] Le Courtois, O., Nakagawa, H., 2011. On surrender and default risks. Mathematical Finance, forthcoming. [13] Loisel, S., Milhaud, X., 2011. From deterministic to stochastic surrender risk models: Impact of correlation crises on economics capital. European Journal of Operational Research. Vol. 214, 348-357. [14] Longstaff, F.A., Mithal, S., Neis, E., 2005. Corporate yield spreads: Default risk of liquidity? Now evidence from credit default swap market. The Journal of Finance. Vol. LX, 2213-2253. [15] Nolde, N., Parker, G., 2014. Stochastic analysis of insurance surplus. Insurance Mathematics and Economics. Vol. 56, 1-13. [16] Smink, M., 1991. Risk measurement for asset liability matching a simulation approach to single premium deferred annuities, 2nd AFIR International Colloquium. Brighton 1991. Proceedings, Vo1. 2, 75-92. [17] Tsai, C., Kuo, W., Chiang, D. M.-H., 2009. The distributions of policy reserves considering the policy-year structures of surrender rates and expense ratios. Journal of Risk and Insurance. Vol. 76, 909-931. [18] Vasicek, O., 1977. An equilibrium characterization of the term structure. Journal of Financial Economics. Vol. 5, 177-188. [19] Zenios, S. A., 1999. Financial optimization. Cambridge University Press.
Description:	碩士國立政治大學金融研究所 102352001
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0102352001
Data Type:	thesis
Appears in Collections:	[Department of Money and Banking] Theses

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