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研究生: 李書儀
Shu-Yi Lee
論文名稱: 分紅保單公平定價之研究
Fair Valuation of Life Insurance Liabilities for Participating Policy
指導教授: 張焯然
Jow Ran Chang
口試委員:
學位類別: 碩士
Master
系所名稱: 科技管理學院 - 科技管理研究所
Institute of Technology Management
論文出版年: 2008
畢業學年度: 96
語文別: 英文
論文頁數: 31
中文關鍵詞: 資產負債管理分紅保單提早執行選擇權違約風險蒙地卡羅模擬法
外文關鍵詞: asset-liability management, participating policy, surrender option, default risk, Monte Carlo simulation
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  • In this study, a fair valuation model for an insurance contract, participating policy, is developed and validated by corporation with Monte Carlo simulation. This kind of insurance contract is evaluated in accordance with four elements: guaranteed interest, bonus policy, surrender option, and default factor. The framework of this four-element participating policy takes into account the policyholder’s desire to early exercise and the insurance company’s insolvency risks. The policyholder early exercises the contract only if the value of early-exercise is larger than that of hold-to-maturity. The default factor is also considered by setting a barrier function for the evaluation. By comparing the dynamic of the target asset and the barrier function, we decide whether the insurance company defaults or not, is decided. The valuation process of this contract is path-dependent; thereby a dynamic programming for pricing American options is used to perform Monte Carlo simulations which use a least-square approach developed by Longstaff and Schwartz in 2001. The simulation results show that the value of the improved contract, which considers both the surrender option and the default risks, is higher than that of the contract that only considers surrender option. However, the comparison between the values of improved contract and the ordinary one depends on the different setting parameters.


    ABSTRACT i TABLE OF CONTENTS ii LIST OF TABLES iv LIST OF FIGURES v 1. Introduction 1 2. Literature Review 4 2.1 Asset-Liability Management 4 2.2 Participating Policy 5 3. Methodology 7 3.1 The general framework of participating policy 7 3.2 The bonus policy and the balance sheet 8 3.2.1 The asset side of the balance sheet 9 3.2.2 The liability side of the balance sheet 10 3.3 Valuation of the contract 12 3.3.1 The ordinary and the surrender contracts 12 3.3.2 The improved participating policy 14 4. Simulation 16 4.1 Numerical Methods 16 4.2 Numerical Results 17 5. Conclusions 27 5.1 Conclusions 27 5.2 Further Research 28 References 29

    中文部分:
    楊曉文、黃泓志、黃麗容,2003,□投資策略、清償能力與分紅保單公平定價之研究□,臺大管理論叢,17卷1期:頁91-112
    林志岳,2003,□台灣投資型保險商品市場與發展□,財團法人保險事業發展中心
    鄭錦聰,2003,□MATLAB程式設計□,全華科技圖書
    中華民國人壽保險商業同業公會,http://www.lia-roc.org.tw
    財團法人保險事業發展中心,http://www.iiroc.org.tw

    英文部分:
    Bacinello, A.R., 2001, Fair Pricing of Life Insurance Participating Policies with a Minimum Interest Guaranteed, Astin Bulletin, Vol. 31, pp. 275-297.
    Bacinello, A.R., 2003, Fair Valuation of a Guaranteed Life Insurance Participating Contract Embedding a Surrender Option, Journal of Risk and Insurance, Vol. 70, No. 3, pp. 461-487.
    Ballotta, L., S. Haberman and N. Wang, 2006, Guarantees in With-profit and United With-profit Life Insurance Contracts: Fair Valuation Problem in Presence of the Defult Option, Journal of Risk and Insurance, Vol. 73, No. 1, pp. 97-121.
    Bessis, J., 2002, Risk Management in Banking (section 5: Asset-Liability Management, 2nd edition), New York, NY.
    Brandimarte, P., 2002, A short note on dynamic programming and pricing American options by Monte Carlo simulation, the web page: http://staff.polito.it/paolo. brandimarte
    Brandimarte, P., 2002, Numerical Methods in Finance: A MATLAB-Based Introduction, Wiley, NY
    Briys, E. and F. de Varenne, 1994, Life Insurance Liabilities in a Contingent Claim Framework: Pricing and Regulatory Implications, Geneva Papers on Risk and Insurance Theory, Vol. 19, pp. 53-72.
    Briys, E. and F. de Varenne, 1997, On the Risk of Life Insurance Liabilities: Debunking Some Common Pitfalls, Journal of Risk and Insurance, Vol. 64, No. 4, pp. 673-694.
    Cairns, A. J. G., 2004, Interest Rate Models: An Introduction, Princeton University Press, NJ.
    Charlier, E. and R. Kleynen, 2005, Fair Valuation of Guaranteed Contracts: The Interaction between Assets and Liabilities, discussion paper from Tilburg University, Center for Economic Research, No. 64
    Longstaff, F.A. and E.S. Schwartz, 2001, Valuing American Options by Simulation: a Simple Least-Square Approach, The Review of Financial Studies, Vol. 14, pp.113-147
    Giandomenico, R., 2006, Asset Liability Management in Insurance Company, Social Science Research Network, working paper
    Grosen, A. and P.L. Jorgenson, 1997, Valuation of Early Exercisable Interest Rate Guarantees, Journal of Risk and Insurance, Vol. 64, No. 3, pp. 481-503.
    Grosen, A. and P.L. Jorgenson, 2000, Fair Valuation of Life Insurance Liabilities: The Impact of Interest Rates Guarantees, Surrender Options, and Bonus Policies, Insurance: Mathematics and Economics, Vol. 26, No. 1, pp. 37-57.
    Grosen, A. and P.L. Jorgenson, 2001, Life Insurance Contracts with Embedded Options, Valuation, Risk Management, and Regulation, The Journal of Risk Finance, Fall 2001, pp. 19-30.
    Grosen, A. and P.L. Jorgenson, 2002, Life Insurance Liabilities at Market Value: An Analysis of Insolvency Risk, Bonus Policy, and Regulatory Intervention Rules in a Barrier Option Framework, Journal of Risk and Insurance, Vol. 69, No. 1, pp. 63-91.
    Hull, J.C., 2003, Options, Futures, and Other Derivatives (5th edition), Prentice Hall, NJ
    Hoevenaars, R., R. Molenaar, P. Schotman and T. Steenkamp, 2005, Strategic Asset Allocation with Liabilities: Beyond Stocks and Bonds, ABP Working Paper Series
    Kling, A., A. Richter and J. Russ, 2007, The Interaction of Guarantees, Surplus Distribution, and Asset Allocation in With Profit Life Insurance Policies, Insurance: Mathematics and Economics, Vol. 40, No. 1, pp. 585-598.
    Melnikov, A. and Y. Romaniuk, 2006, Evaluating the Performance of Gompertz, Makeham and Lee-Carter Mortality Models for Risk Management with Unit-Linked Contracts, Insurance: Mathematics and Economics, No. 39, pp. 310-329.
    Miltersen, K.R., Persson, S.A., 1998, Guaranteed Investment Contracts: distributed and undistributed excess return, Scandinavian Actuarial Journal, No. 23, pp. 257-279.
    Persson, S.-A and K. K. Aase, 1997, Valuation of the Minimum Guaranteed Return Embedded in Life Insurance Products, Journal of Risk and Insurance, Vol. 64, No. 4, pp. 599-617.
    Van Binsbergen, J. H. and M.W. Brandt, 2006, Optimal Asset Allocation in Asset Liability Management, Social Science Research Network, working paper
    Vellokoop, M.H., A.A. Vd Kamp, and B.A. Post, 2006, Pricing and Hedging Guaranteed Returns on Mix Funds, Insurance: Mathematics and Economics, No. 38, pp. 585-598.

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