Personalized goal-based investing via multi-stage stochastic goal programming

In this paper, we propose a goal-based investment model that is suitable for personalized wealth management. The model only requires a few intuitive inputs such as size of wealth, investment amount, and consumption goals from individual investors. In particular, a priority level can be assigned to each consumption goal and the model provides a holistic solution based on a sequential approach starting with the highest priority. This allows strict prioritization by maximizing the probability of achieving higher priority goals that are not affected by goals with lower priorities. Furthermore, the proposed model is formulated as a linear program that efficiently finds the optimal financial plan. With its simplicity, flexibility, and computational efficiency, the proposed goal-based investment model provides a new framework for automated investment management services.

[1]  Nicholas Barberis,et al.  Goals-based Investing : Integrating Traditional and Behavioral Finance , 2003 .

[2]  Alex Weissensteiner,et al.  Financial planning for young households , 2013, Ann. Oper. Res..

[3]  Rudi Zagst,et al.  Asset Liability Management in Financial Planning , 2008 .

[4]  Michal Kaut,et al.  A Heuristic for Moment-Matching Scenario Generation , 2003, Comput. Optim. Appl..

[5]  Michael A. H. Dempster,et al.  Asset liability management for individual households , 2011, British Actuarial Journal.

[6]  R. Rockafellar,et al.  Optimization of conditional value-at risk , 2000 .

[7]  Vittorio Moriggia,et al.  Optimal management of life insurance household portfolios in the long run , 2011 .

[8]  Alex Weissensteiner,et al.  Life-Cycle Asset Allocation and Consumption Using Stochastic Linear Programming , 2007 .

[9]  Hungjen Wang,et al.  Portfolio Selection in Goals-Based WealthManagement , 2011, The Journal of Wealth Management.

[10]  P. Krokhmal,et al.  Portfolio optimization with conditional value-at-risk objective and constraints , 2001 .

[11]  Stavros A. Zenios,et al.  www.Personal_Asset_Allocation , 2004, Interfaces.

[12]  Teemu Pennanen Financial Optimization , 2006, OR.

[13]  Giorgio Consigli,et al.  Asset-Liability management for individual investors , 2008 .

[14]  Shuzhong Zhang,et al.  A stochastic linear goal programming approach to multistage portfolio management based on scenario generation via linear programming , 2005 .

[15]  M. Dempster,et al.  Stochastic optimization methods in finance and energy : new financial products and energy market strategies , 2011 .

[16]  Jean L.P Brunel,et al.  Revisiting the Asset Allocation Challenge Through a Behavioral Finance Lens , 2003 .

[17]  Stavros A. Zenios,et al.  Scenario optimization asset and liability modelling for individual investors , 2007, Ann. Oper. Res..

[18]  H. Markowitz,et al.  Portfolio Optimization with Mental Accounts , 2010 .

[19]  J. Vu Beyond Markowitz: A Comprehensive Wealth Allocation Framework for Individual Investors , 2005 .

[20]  Gerhard-Wilhelm Weber,et al.  Preface: Advances of OR in commodities and financial modelling , 2018, Ann. Oper. Res..

[21]  Elena Medova,et al.  Individual asset liability management , 2008 .

[22]  Gordon B. Fowler,et al.  Holistic Asset Allocation for Private Individuals , 2006 .

[23]  Stavros A. Zenios,et al.  A parsimonious model for generating arbitrage-free scenario trees , 2014 .

[24]  Hiroshi Konno,et al.  PIECEWISE LINEAR RISK FUNCTION AND PORTFOLIO OPTIMIZATION , 1990 .

[25]  Diem Ho,et al.  Asset Liability Management , 1997 .

[26]  Vittorio Moriggia,et al.  Optimal multistage defined-benefit pension fund management , 2018 .

[27]  Frank J. Fabozzi,et al.  60 Years of portfolio optimization: Practical challenges and current trends , 2014, Eur. J. Oper. Res..

[28]  Milos Kopa,et al.  Individual optimal pension allocation under stochastic dominance constraints , 2018, Ann. Oper. Res..

[29]  Lionel Martellini,et al.  Asset-Liability Management in Private Wealth Management , 2009, The Journal of Portfolio Management.

[30]  Michael A. H. Dempster,et al.  Lifecycle Goal Achievement or Portfolio Volatility Reduction , 2016 .

[31]  Hersh Shefrin,et al.  Behavioral Portfolio Theory , 2000, Journal of Financial and Quantitative Analysis.

[32]  H. Konno,et al.  Mean-absolute deviation portfolio optimization model and its applications to Tokyo stock market , 1991 .

[33]  Vittorio Moriggia,et al.  Retirement planning in individual asset-liability management , 2012 .

[34]  Li Yang,et al.  Scenario tree generation approaches using K-means and LP moment matching methods , 2012, J. Comput. Appl. Math..

[35]  Stein W. Wallace,et al.  Generating Scenario Trees for Multistage Decision Problems , 2001, Manag. Sci..

[36]  H. Markowitz,et al.  The Legacy of Modern Portfolio Theory , 2002 .