Dynamic features of the Treynor – Black model
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Dynamic features of the Treynor – Black model
Annotation
PII
S042473880000014-4-1
DOI
10.7868/s0424738818020061
Publication type
Article
Status
Published
Authors
Sergey Kurochkin 
Affiliation: Federal Research Center
Address: Russian Federation, Moscow
Pages
71-88
Abstract
The Treynor – Black (TB) model seems to be the first active portfolio managenent model to give the direct answer to the problem of how a portfolio manager should incorporate analysts’ estimates in her/his portfolio structure. Concerning the assets’ returns probabilities distributions W. Sharpe Diagonal Model was taken here as an assumption. In this article I analyze the qualitative dynamics of the stock market under the dynamic version of the TB model, assuming all the investors apply the TB model to their portfolios. A similar assumption is made in CAPM, where market stability and pricing relations are deduced supposing all investors have equal access to information and use Modern Portfolio Theory in their portfolio decisions. I also show, how one should recalculate analysts’ target prices to alphas in TB model. The study of the related dynamic system reveals that the TB model produces stable pricing only for the big companies: about 10% market capitalization and more. These findings are then compared to the empirical data on market/target (the latter according to analysts’ consensus forecasts) prices for the Russian Blue Chips. It turns out that actual price dynamics usually shows steady gaps between target and market price while the model price should increasingly oscillate around the target. The likely interpretation is: the market does not trust analysts’ forecasts.
Keywords
portfolio management, Treynor – Black model, dynamic system, stability
Received
09.10.2017
Date of publication
29.06.2018
Number of purchasers
6
Views
672
Readers community rating
0.0 (0 votes)
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References

1. Black F., Litterman R. (1992). Global Portfolio Optimization. Financial Analysts Journal, 48, 5, 28–43.

2. Bodie Z., Kane A., Marcus A. (2014). Investments. N.Y.: McGraw Hill.

3. Bradshaw M., College B., Huang A. (2013). Analyst Target Price Optimism around the World. Midwest Finance Association 2013 Annual Meeting Paper. Available at: http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2137291 (accessed: April 2017).

4. Cvitanic J., Lazrak A., Martellini L., Zapatero F. (2006). Dynamic Portfolio Choice with Parameter Uncertainty and the Economic Value of Analysts’ Recommendations. The Review of Financial Studies, 19, 4, 1113–1156.

5. Damodaran A. (2016). Investment Valuation. M.: Alpina (in Russian).

6. Fama E. (1965). The Behavior of Stock Market Prices. Journal of Business, 38, 34–105.

7. Katok A., Hasselblatt B. (2005). A First Course in Dynamics. M.: MCCME (in Russian).

8. Kurochkin S.V. (2014). If the Go Away. What Well Be Russian Stock Market in the Absence of Foreign Investors? Rynok tsennyh bumag, 8, 57–59 (in Russian).

9. Moscow Exchange (2014). MICEXINDEXCF index. Available at: http://www.moex.com/ru/index/MICEXINDEXCF/ constituents/ (accessed: April 2017, in Russian).

10. RIA Novosti (2016). CB Sees a Potential Threat in Robo-Advisors Spreading. Available at: http://ria.ru/ economy/20160217/1375957204.html (accessed: February 2017, in Russian).

11. Sberbank (2017). Dividends. Official Site. Available at: http://www.sberbank.com/ru/investor-relations/share-profile/ dividends (accessed: April 2017, in Russian).

12. Standard and Poors (2017). S&P 500. Available at: http://us.spindices.com/indices/equity/sp‑500 (accessed: April 2017).

13. Stowe J., Robinson T., Pinto J., McLeavy D. (2002). Analysis of Equity Investments: Valuation. N.Y.: Wiley and Sons.

14. Treynor J., Black F. (1973). How to Use Security Analysis to Improve Portfolio Selection. Journal of Business, 46, 1, 66–86.

15. US Treasury (2017). Interest Rate Statistics. Available at: https://www.treasury.gov/resource-center/data-chart-center/ interest-rates/Pages/default.aspx (accessed: April 2017).

16. Wikipedia (2017). S&P 500 Index. Available at: https://en.wikipedia.org/wiki/S%26P_500_Index (accessed: April 2017).

17. Zhongzhi H. (2007). Incorporating Alpha Uncertainty into Portfolio Decisions: A Bayesian Revisit of the Treynor – Black Model. Journal of Asset Management, 8, 3, 161–175.