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題名 Dynamic Asset Allocation under Controlled Downside Risk
作者 陳志成
貢獻者 廖四郎<br>江彌修
<br>
陳志成
關鍵詞 動態配置
下方風險有限
日期 2002
上傳時間 17-Sep-2009 18:59:28 (UTC+8)
摘要 This paper provides an analytical framework for dynamic portfolio strategies that are mean-variance efficient and subjected to a principal-guaranteed rate. Specifying a numeraire known as growth-optimal portfolio, we apply martingale method instead of dynamic programming approach to solve the optimal problem. Under the general assumptions of the price dynamics being a semi-martingale with finite expectation and variance, the efficient strategies are identified as a combination of put options on minimum norm portfolio and zero coupon bonds with the maturity of investment horizon. In the case of a single factor interest rate model, we derive the closed-form formula for optimal weights on securities. We conduct numerical simulations to illustrate the performance of the optimal strategies in the case of an economy comprising a stock index fund, a bond index fund and a money market account. In addition, for different investors with various interests like principal guaranted rate and investment horizon, we also show how investors ought to allocate their funds.
This paper provides an analytical framework for dynamic portfolio strategies that are mean-variance efficient and subjected to a principal-guaranteed rate. Specifying a numeraire known as growth-optimal portfolio, we apply martingale method instead of dynamic programming approach to solve the optimal problem. Under the general assumptions of the price dynamics being a semi-martingale with finite expectation and variance, the efficient strategies are identified as a combination of put options on minimum norm portfolio and zero coupon bonds with the maturity of investment horizon. In the case of a single factor interest rate model, we derive the closed-form formula for optimal weights on securities. We conduct numerical simulations to illustrate the performance of the optimal strategies in the case of an economy comprising a stock index fund, a bond index fund and a money market account. In addition, for different investors with various interests like principal guaranted rate and investment horizon, we also show how investors ought to allocate their funds.
參考文獻 References
Alexander, Gordon, Baptista, 2001, A VaR-Constrained Mean-Variance Model: Implications for Portfolio Selection and the Basle Capital Accord.
Bajeux-Besnainou I., J. Jordan and R. Portait, 2001, Dynamic Asset Allocation for Stocks, Bonds and Cash, Journal of Business, forthcoming.
Bajeux-Besnainou I. and R. Portait, 1997, The Numeraire Portfolio: a new Methodology for Financial Theory, The European Journal of Finance 3, 291-309.
Bajeux-Besnainou I. and R. Portait, 1998, Dynamic Asset Allocation in a Mean-Variance Framework, Management Science 44, S79-S95.
Bajeux, I., Jordan J. and R. Portait, 2001, September, The Stock/Bond ratio asset allocation puzzle: comment, American Economic Review 4, 1170, 1180.
Brennan, Michael J., Eduardo S. Schwartz, and Ronald Lagnado, 1997, Strategic asset allocation, Journal of Economic dynamics and Control 21, 1377-1403.
Chow, Gregory C, 1996, The Lagrange method of optimization with application to portfolio and investment decisions, Journal of Economic dynamics and Control 20, 1-18.
Cox, J. and C. F. Huang, 1989, Optimal consumption and portfolio choices when asset
prices follow a diffusion process, Journal of Economic Theory 49, 33-83.
Domenico Cuoco and Hua H, 2001, September, Optimal Dynamic Trading Strategies with Risk Limits
Duffie, 1992, Dynamic Asset Pricing Theory, Princeton University Press.
Harrison, J.M. and S. Pliska, Martingales and Stochastic Integrals in the Theory
of Continuous Trading, Stochastic Processes and their Applications 11, 215-260.
J.B. Long, Jr. (1990), The numeraire portfolio, Journal of Financial Economics, 29–69.
Merton, Robert C., 1990, Continuous - Time Finance, Basil Blackwell.
Portfolio selection and asset pricing, 2002, Berlin, New York : Springer.
Richardson, H, 1989, A Minimum Variance Result in Continuous Trading Portfolio Optimization, Management Science 35, 1045-1055.
River Edge, N.J, 1997,Optimal portfolios : stochastic models for optimal investment and risk management in continuous time. Singapore, World Scientific.
Strategic asset allocation: portfolio choice for long-term investors, 2002, Oxford University Press.
黃鴻禧, Optimal Dynamic Asset Allocation and Rational Expectations Equilibrium,
民91,台灣大學財務金融研究所
描述 碩士
國立政治大學
金融研究所
90352006
91
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0090352006
資料類型 thesis
dc.contributor.advisor 廖四郎<br>江彌修zh_TW
dc.contributor.advisor <br>en_US
dc.contributor.author (Authors) 陳志成zh_TW
dc.creator (作者) 陳志成zh_TW
dc.date (日期) 2002en_US
dc.date.accessioned 17-Sep-2009 18:59:28 (UTC+8)-
dc.date.available 17-Sep-2009 18:59:28 (UTC+8)-
dc.date.issued (上傳時間) 17-Sep-2009 18:59:28 (UTC+8)-
dc.identifier (Other Identifiers) G0090352006en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/33975-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 金融研究所zh_TW
dc.description (描述) 90352006zh_TW
dc.description (描述) 91zh_TW
dc.description.abstract (摘要) This paper provides an analytical framework for dynamic portfolio strategies that are mean-variance efficient and subjected to a principal-guaranteed rate. Specifying a numeraire known as growth-optimal portfolio, we apply martingale method instead of dynamic programming approach to solve the optimal problem. Under the general assumptions of the price dynamics being a semi-martingale with finite expectation and variance, the efficient strategies are identified as a combination of put options on minimum norm portfolio and zero coupon bonds with the maturity of investment horizon. In the case of a single factor interest rate model, we derive the closed-form formula for optimal weights on securities. We conduct numerical simulations to illustrate the performance of the optimal strategies in the case of an economy comprising a stock index fund, a bond index fund and a money market account. In addition, for different investors with various interests like principal guaranted rate and investment horizon, we also show how investors ought to allocate their funds.zh_TW
dc.description.abstract (摘要) This paper provides an analytical framework for dynamic portfolio strategies that are mean-variance efficient and subjected to a principal-guaranteed rate. Specifying a numeraire known as growth-optimal portfolio, we apply martingale method instead of dynamic programming approach to solve the optimal problem. Under the general assumptions of the price dynamics being a semi-martingale with finite expectation and variance, the efficient strategies are identified as a combination of put options on minimum norm portfolio and zero coupon bonds with the maturity of investment horizon. In the case of a single factor interest rate model, we derive the closed-form formula for optimal weights on securities. We conduct numerical simulations to illustrate the performance of the optimal strategies in the case of an economy comprising a stock index fund, a bond index fund and a money market account. In addition, for different investors with various interests like principal guaranted rate and investment horizon, we also show how investors ought to allocate their funds.en_US
dc.description.tableofcontents I. Introduction…………………………………………………1
II.The Continuous-Time Portfolio Problem…………………3
A. The Problems and Approaches……………………………3
B. Technical Background:Numeraire Portfolio and
Minimum Norm Portfolio…………….……….3

B.1 The Numeraire Portfolio…………………………………4
B.2 Dynamic Mean-Variance Efficient Asset Allocation Without Constraint………………………………………6
B.3 The Minimum Norm Portfolio…………………………...9

III. Dynamic Mean-Variance Efficient Asset Allocation under Principal-Guaranteed Constraint…………..12
IV. Simulation Examples…………………………………….17
Simulation Results……………………………………...20
V. Conclusion…………………………………………………25
Appendix A…………………………………………………...26
Appendix B…………………………………………………...27
Appendix C…………………………………………………...28
References…………………………………………………….30
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0090352006en_US
dc.subject (關鍵詞) 動態配置zh_TW
dc.subject (關鍵詞) 下方風險有限zh_TW
dc.title (題名) Dynamic Asset Allocation under Controlled Downside Riskzh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Referenceszh_TW
dc.relation.reference (參考文獻) Alexander, Gordon, Baptista, 2001, A VaR-Constrained Mean-Variance Model: Implications for Portfolio Selection and the Basle Capital Accord.zh_TW
dc.relation.reference (參考文獻) Bajeux-Besnainou I., J. Jordan and R. Portait, 2001, Dynamic Asset Allocation for Stocks, Bonds and Cash, Journal of Business, forthcoming.zh_TW
dc.relation.reference (參考文獻) Bajeux-Besnainou I. and R. Portait, 1997, The Numeraire Portfolio: a new Methodology for Financial Theory, The European Journal of Finance 3, 291-309.zh_TW
dc.relation.reference (參考文獻) Bajeux-Besnainou I. and R. Portait, 1998, Dynamic Asset Allocation in a Mean-Variance Framework, Management Science 44, S79-S95.zh_TW
dc.relation.reference (參考文獻) Bajeux, I., Jordan J. and R. Portait, 2001, September, The Stock/Bond ratio asset allocation puzzle: comment, American Economic Review 4, 1170, 1180.zh_TW
dc.relation.reference (參考文獻) Brennan, Michael J., Eduardo S. Schwartz, and Ronald Lagnado, 1997, Strategic asset allocation, Journal of Economic dynamics and Control 21, 1377-1403.zh_TW
dc.relation.reference (參考文獻) Chow, Gregory C, 1996, The Lagrange method of optimization with application to portfolio and investment decisions, Journal of Economic dynamics and Control 20, 1-18.zh_TW
dc.relation.reference (參考文獻) Cox, J. and C. F. Huang, 1989, Optimal consumption and portfolio choices when assetzh_TW
dc.relation.reference (參考文獻) prices follow a diffusion process, Journal of Economic Theory 49, 33-83.zh_TW
dc.relation.reference (參考文獻) Domenico Cuoco and Hua H, 2001, September, Optimal Dynamic Trading Strategies with Risk Limitszh_TW
dc.relation.reference (參考文獻) Duffie, 1992, Dynamic Asset Pricing Theory, Princeton University Press.zh_TW
dc.relation.reference (參考文獻) Harrison, J.M. and S. Pliska, Martingales and Stochastic Integrals in the Theoryzh_TW
dc.relation.reference (參考文獻) of Continuous Trading, Stochastic Processes and their Applications 11, 215-260.zh_TW
dc.relation.reference (參考文獻) J.B. Long, Jr. (1990), The numeraire portfolio, Journal of Financial Economics, 29–69.zh_TW
dc.relation.reference (參考文獻) Merton, Robert C., 1990, Continuous - Time Finance, Basil Blackwell.zh_TW
dc.relation.reference (參考文獻) Portfolio selection and asset pricing, 2002, Berlin, New York : Springer.zh_TW
dc.relation.reference (參考文獻) Richardson, H, 1989, A Minimum Variance Result in Continuous Trading Portfolio Optimization, Management Science 35, 1045-1055.zh_TW
dc.relation.reference (參考文獻) River Edge, N.J, 1997,Optimal portfolios : stochastic models for optimal investment and risk management in continuous time. Singapore, World Scientific.zh_TW
dc.relation.reference (參考文獻) Strategic asset allocation: portfolio choice for long-term investors, 2002, Oxford University Press.zh_TW
dc.relation.reference (參考文獻) 黃鴻禧, Optimal Dynamic Asset Allocation and Rational Expectations Equilibrium,zh_TW
dc.relation.reference (參考文獻) 民91,台灣大學財務金融研究所zh_TW