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This compact course will be taught by Jakub Rojček PhD on Monday–Wednesday, September 23-25, 2024, in room 314 during following times 9:30-10:50, 11:00-12:20,14:00-15:20. For more information about the course see the Course Info video.
Course objectives This three-day course introduces the topic of asset allocation from both a scientific and practical perspective. It synthesizes academic and industry references across fields of portfolio optimization, asset pricing, and risk management on asset class level. The course is rooted in Modern portfolio theory and its subsequent developments until the present time from both theoretical and empirical perspective. First, we motivate the topic of asset allocation by highlighting the current practical industry applications. Afterwards, we briefly review the basic concepts of risk and return trade-off, and the resulting mean-variance optimization, but quickly move towards the current state of asset allocation models with expected returns modeled using building block approach, use of regimes to tackle uncertainty in estimates, and further robust optimization techniques along with inclusion of views into optimal portfolios. We also cover the topic of shorter-term tactical asset allocation rooted in global macroeconomics signals, and include tactical portfolio construction. We conclude by exploring further cutting edge natural language processing (NLP) based signals and discuss avenues of future research and practical applications. In addition to lectures, coursework consists of practical coding sessions with short coding homeworks, as well as group projects, where students are expected to solve a practical asset allocation problem and write a short report. Individually, students will also submit a short essay discussing what investment process would be suitable to their individual financial objectives. Students are expected to gain a broad overview of asset allocation topics, learn about practical considerations of predicting future returns and portfolio optimization, as well as gain practical coding experience. Poslední úprava: Čech František, PhDr., Ph.D. (23.05.2024)
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Class participation (10%) Group project (60%)
Individual essay (30%)
CONDITION: group project and individual essay cannot have overlapping topic Poslední úprava: Čech František, PhDr., Ph.D. (05.08.2024)
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References Books (required) Fabozzi, F. J., Kolm, P. N., Pachamanova, D. A., & Focardi, S. M. (2007). Robust portfolio optimization and management. John Wiley & Sons. Kinlaw, W., Kritzman, M. P., & Turkington, D. (2021). Asset allocation: from theory to practice and beyond. John Wiley & Sons.
Books (further reading) Boyd, S. P., & Vandenberghe, L. (2004). Convex optimization. Cambridge university press. Grinold, R. C., & Kahn, R. N. (2000). Active portfolio management. Ilmanen, A. (2011). Expected returns: An investor's guide to harvesting market rewards (Vol. 535). John Wiley & Sons. Ilmanen, A. (2012). Expected returns on major asset classes. CFA Institute Research Foundation, 1. Ilmanen, A. (2022). Investing Amid Low Expected Returns: Making the Most when Markets Offer the Least. John Wiley & Sons. Lopez de Prado, M. (2022). Causal Factor Investing: Can Factor Investing Become Scientific?. Available at SSRN 4205613. Meucci, Attilio. Risk and asset allocation. Vol. 1. New York: Springer, 2005. Pedersen, L. H. (2019). Efficiently inefficient: how smart money invests and market prices are determined. Princeton University Press. Siegel, J. J. (2021). Stocks for the long run: The definitive guide to financial market returns & long-term investment strategies. McGraw-Hill Education.
Articles (selected) Ang, A., & Bekaert, G. (2002). International asset allocation with regime shifts. The review of financial studies, 15(4), 1137-1187. AQR, 2017: “Capital Market Assumptions Technical Appendix: Equity Expected Return Methodology” AQR, Q1 2021: “Capital Market Assumptions for Major Asset Classes” Bacchetta, P., Benhima, K., & Renne, J. P. (2022). Understanding Swiss real interest rates in a financially globalized world. Swiss Journal of Economics and Statistics, 158(1), 16. Barclays, 2021: “Capital Market Assumptions” Bauer, M. D., & Rudebusch, G. D. (2020). Interest rates under falling stars. American Economic Review, 110(5), 1316-1354. Campbell, J. Y., & Shiller, R. J. (2001). Valuation ratios and the long-run stock market outlook: An update. De Prado, M. L. (2016). Building diversified portfolios that outperform out of sample. The Journal of Portfolio Management, 42(4), 59-69. Engle, R. F., Ledoit, O., & Wolf, M. (2019). Large dynamic covariance matrices. Journal of Business & Economic Statistics, 37(2), 363-375. Ferreira, M. A., & Santa-Clara, P. (2011). Forecasting stock market returns: The sum of the parts is more than the whole. Journal of Financial Economics, 100(3), 514-537. Fung, W., & Hsieh, D. A. (2004). Hedge fund benchmarks: A risk-based approach. Financial Analysts Journal, 60(5), 65-80. Geltner, D. M. (1991). Smoothing in appraisal-based returns. The Journal of Real Estate Finance and Economics, 4, 327-345. Geltner, D. (1993). Estimating market values from appraised values without assuming an efficient market. Journal of Real Estate Research, 8(3), 325-345. Goodwin, T. H. (1998). The information ratio. Financial Analysts Journal, 54(4), 34-43. Grinold, R. C., Kroner, K., & Siegel, L. B. (2011). A Supply Model of the Equity Premium. Rethinking the Equity Risk Premium, 53-70. Holston, K., Laubach, T., & Williams, J. C. (2017). Measuring the natural rate of interest: International trends and determinants. Journal of International Economics, 108, S59-S75. Kaplan, S. N., & Schoar, A. (2005). Private equity performance: Returns, persistence, and capital flows. The journal of finance, 60(4), 1791-1823. Kim, J. H., Kim, W. C., & Fabozzi, F. J. (2014). Recent developments in robust portfolios with a worst-case approach. Journal of Optimization Theory and Applications, 161, 103-121. Knox, B., & Vissing-Jorgensen, A. (2022). A stock return decomposition using observables. Kuhn, D., Esfahani, P. M., Nguyen, V. A., & Shafieezadeh-Abadeh, S. (2019). Wasserstein distributionally robust optimization: Theory and applications in machine learning. In Operations research & management science in the age of analytics (pp. 130-166). Informs. Kritzman, M., Li, Y., Page, S., & Rigobon, R. (2010). Principal components as a measure of systemic risk. Available at SSRN 1582687. Ilmanen, A., Israel, R., Moskowitz, T. J., Thapar, A. K., & Lee, R. (2021). How do factor premia vary over time? A century of evidence. A Century of Evidence (February 18, 2021). Ledoit, O., & Wolf, M. (2004). A well-conditioned estimator for large-dimensional covariance matrices. Journal of multivariate analysis, 88(2), 365-411. Ledoit, O., & Wolf, M. (2022). The power of (non-) linear shrinking: A review and guide to covariance matrix estimation. Journal of Financial Econometrics, 20(1), 187-218. López de Prado, M., & Lewis, M. J. (2019). Detection of false investment strategies using unsupervised learning methods. Quantitative Finance, 19(9), 1555-1565. Meucci, A. (2010). Fully flexible views: Theory and practice. arXiv preprint arXiv:1012.2848. Michaud, R. O., & Michaud, R. (2007). Estimation error and portfolio optimization: a resampling solution. Available at SSRN 2658657. Rockafellar, R. T., & Uryasev, S. (2002). Conditional value-at-risk for general loss distributions. Journal of banking & finance, 26(7), 1443-1471. Rogoff, K. (1996). The purchasing power parity puzzle. Journal of Economic literature, 34(2), 647-668. Rousseeuw, P. J., & Driessen, K. V. (1999). A fast algorithm for the minimum covariance determinant estimator. Technometrics, 41(3), 212-223. Ross, S., 1976a. The arbitrage theory of capital asset pricing. Journal of Economic Theory 13, 341–60. Ross, S., 1976b. Risk, return and arbitrage. Risk Return in Finance ed. I. Friend and J. Bicksler, Cambridge, Mass.: Ballinger. Scherer, B. (2007). Can robust portfolio optimisation help to build better portfolios?. Journal of Asset Management, 7, 374-387. Stambaugh, R. F. (1997). Analyzing investments whose histories differ in length. Journal of Financial Economics, 45(3), 285-331. Straehl, P. U., & Ibbotson, R. G. (2017). The long-run drivers of stock returns: Total payouts and the real economy. Financial Analysts Journal, 73(3), 32-52. Sung, C. H. (2023). Invesco Investment Insights. Tütüncü, R. H., & Koenig, M. (2004). Robust asset allocation. Annals of Operations Research, 132, 157-187. Poslední úprava: Čech František, PhDr., Ph.D. (26.04.2024)
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DAY 1 (depending on progress in class) 1. Introduction to asset allocation Reading required: Kinlaw et al (2021) chapters 1, 2, 3, 10 ; Fabozzi et al (2007) chapters 1, 14 2. Modern portfolio theory 3. Robust covariance estimation Reading required: Fabozzi et al (2007) chapter 8 4. Coding session 1 DAY 2 (depending on progress in class) 5. Long-term expected returns Reading required: Barclays (2021) Capital Market Assumptions; Ilmanen (2012); Kinlaw et al (2021) chapter 13 6. Robust optimization Reading required: Fabozzi et al (2007) chapters 10, 11, 12; Kinlaw et al (2021) chapter 19; Scherer (2007); Rockafellar and Uryasev (2002) 7. Views on markets Reading required:Fabozzi et al (2007) chapter 9 8. Coding session 2 a. Forward looking expected returns DAY 3 (depending on progress in class) 9. Macroeconomic and market regimes Reading required: Kinlaw et al (2021) chapters 14, 22 10. Tactical asset allocation and dynamic strategies Reading required: Kinlaw et al (2021) chapter 17; Ang and Bekaert (2002) 11. Coding session 3 Poslední úprava: Čech František, PhDr., Ph.D. (26.04.2024)
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Python resources Students are expected to bring their own laptops to the coding sessions. Data and functional Jupyter notebooks will be distributed a few weeks before the start of the course and we’ll cover these during the coding sessions.
Students are responsible for creating their own Python capable setup that they will be able to use throughout the course and during the group projects.
I recommend using an individual Anaconda distribution that solves the different packages dependencies and you can download and install it using resources here: https://www.anaconda.com/
You will find the resources there helpful, this video should also help get you started https://www.youtube.com/watch?v=4DQGBQMvwZo
Then you can use any IDE you want, be it Spyder (similar to RStudio), or Pycharm- more professional coding experience, or even Jupyter notebook or JupyterLab. You can install any of these through Anaconda navigator.
For portfolio optimization, we’ll try coding a few routines ourselves, but we’ll also make use of already existing software. I encourage you to explore e.g. the very good pypfopt package https://pyportfolioopt.readthedocs.io/en/latest/
Useful libraries for statistics and econometric purposes would be scipy and statsmodels https://www.statsmodels.org/stable/index.html ; https://www.scipy.org/ Poslední úprava: Čech František, PhDr., Ph.D. (26.04.2024)
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