政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/36732
English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 113325/144300 (79%)
Visitors : 51152672      Online Users : 886
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/36732


    Title: Optimal Asset Allocation with Minimum Guarantees
    附最低保證下之最適資產配置
    Authors: 陳姵吟
    Chen,Pei-Yin
    Contributors: 張士傑
    Chang, Shi-Cheil
    陳姵吟
    Chen,Pei-Yin
    Keywords: minimum guarantee
    stochastic variation
    interest rate risk
    market neutral valuation
    mutual fund
    Date: 2003
    Issue Date: 2009-09-18 19:24:01 (UTC+8)
    Abstract: 本研究中,考慮連續時間下,附最低保證之長期最適投資策略;在利率模型中,為較能符合現實狀況,我們採用CIR模型;另外,在此策略中,我們將投資人之風險偏好加入模型中研究,最適化投資人到期時財富之效用函數,並用Cox & Huang之市場中立評價方法來解決數學模型問題。此篇研究顯示,最適之投資策略可以等價於某些共同基金之投資組合,這些共同基金能利用金融市場上之主要資產(market primary assets)來複製。
    In this study, we consider a portfolio selection problem for long-term investors. Dynamic investment
    strategy with the continuous-time framework incorporating the minimum guarantees are
    constructed. Maximizing expected utility of the terminal wealth is employed by investors to trade
    off profits in good future state against losses incurred in worse states. Follow the previous works
    of Deelstra et al. (2003), we concentrate on the simplest case of a one-factor Cox-Ingersoll-Ross
    (CIR) model in formulating the stochastic variation from the interest rate risks. Under the market
    completeness assumption, the fund growth is modelled under the market neutral valuation and
    the optimal rules are mapped into the static variational problem of Cox and Huang (1989). In
    this study, we show that the optimal portfolio is equivalent to a certain mutual fund that can be
    replicated by the market primary assets
    Reference: Bajeux-Besnainou, 2003. Dynamic asset allocation for stocks, bonds, and cash. Journal of Business 76, 263-287.
    Barberis, N., 2000. Investing for the long run when returns are predictable. Journal of Finance 55 (1), 225-264.
    Basak, S., 1995. A general equilibrium model of portfolio insurance, Review of Financial Study 8, 1059-1090.
    Breeden, D., 1979. An intertemporal asset pricing model with stochastic consumption and investment opportunities. Journal of Financial Economics 7 (3), 265--296.
    Chan, K. C., Karolyi, G. A. and Longstaff, F. S., Sanders, A.B.,1992. The volatility of short-term interest rates: an empirical comparison of alternative models of the term structure of interest rates. Journal of Finance 47, 1209-1227.
    Cox, J. and Huang, C. F., 1989. Optimal consumption and portfolio policies when asset prices follow a diffusion process, Journal of Economic Theory 49, 33-83.
    Cox, J. and Huang, C. F., 1991. A variational problem arising in financial economics. Journal of Mathematical Economics 20, 465-487.
    Cox, J. C., Ingersoll, J. E. and Ross, S. A., 1985. A theory of the term structure of interest rates. Econometrica 53, 385-408.
    Deelstra, G., Grasselli, M. and Koehl, P. F., 2000. Optimal investment strategies in a CIR framework. Journal of Applied Probability 37, 936-946.
    Deelstra, G., Grasselli, M. and Koehl, P. F., 2003. Optimal investment strategies in the presence of a minimum guarantee. Insurance:Mathematics and Economics 33, 189-207.
    Dempster, M. A. H., Evstigneev, I. V. and Schenk-Hoppe, K.R., 2003. Exponential growth of fixed-mix strategies in stationary asset markets, Finance and Stochastics, 7, 263-276.
    Devolder, P., Princep, M. B. and Fabian, I. D., 2003. Stochastic optimal control of annuity contracts, Insurance: Mathematics and Economics 33, 227-238.
    Duffie, J. D. and Huang, C. F., 1985. Implementing Arrow-Debreu equilibria by continuous trading of few long-lived securities, Econometrica, 53 1337-1356.
    Grossman, S., and Z. Zhou, 1996. Equilibrium analysis of portfolio insurance, Journal of Finance 51, 1379-1403.
    Karatzas, I., 1989. Optimization problems in the theory of continuous trading. Journal of Control and Optimization 27, 1221-1259.
    Karatzas, I., and Shreve, S., 1991. Brownian Motion and Stochastic Calculus, Second ed. Springer-Verlag, Berlin.
    Karatzas, I., Lehoczky, J. P. and Shreve, S., 1987. Optimal portfolio and consumption decision for a `small investor` on a finite horizon. SIAM. Journal on Control and Optimization 25, 1557-1586.
    Long, J. B., 1990. The numeraire portfolio. Journal of Financial Economics 26, 29--69.
    Markowitz, H., 1959, Portfolio Selection: Efficient Diversification of Investment, John Wiley, New York.
    Merton, R. C., 1971. Optimum consumption and portfolio rules in a continuous-time case. Journal of Economy Theory 3, 373-413.
    Merton, R. C., 1969. Lifetime portfolio selection under uncertainty: The continuous-time case. Review of Economics and Statistics 51, 247--257.
    Merton, R. C., 1973. An intertemporal capital asset pricing model. Econometrica 41 (5), 867--887.
    Merton, R. C., 1992. Continuous Time Finance. Blackwell, Oxford.
    Pliska, S., 1986. A stochastic calculus model of continuous trading: optimal portfolios. Mathematics of Operations Research 11, 371--382.
    Description: 碩士
    國立政治大學
    風險管理與保險研究所
    91358019
    92
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0091358019
    Data Type: thesis
    Appears in Collections:[Department of Risk Management and Insurance] Theses

    Files in This Item:

    There are no files associated with this item.



    All items in 政大典藏 are protected by copyright, with all rights reserved.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏,無償提供學術研究與公眾教育等公益性使用,惟仍請適度,合理使用本網站之內容,以尊重著作權人之權益。商業上之利用,則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作,已盡力防止侵害著作權人之權益,如仍發現本網站之數位內容有侵害著作權人權益情事者,請權利人通知本網站維護人員(nccur@nccu.edu.tw),維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback