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The MAS Academy – vol. 7  Correlation  PD&M Multi Asset Solutions For internal use only. Multi Asset Solutions: actively managed and actively explained Participation Stability Preservation Alternatives   
[object Object],[object Object],[object Object],[object Object],Key objectives Time investment: ~15 minutes  For internal use only.
SECTION 1 Definition and significance of correlation For internal use only.
Definition 1/2 ,[object Object],[object Object],[object Object],[object Object],For internal use only.
Definition 2/2 Dependency of return developments Increasing diversification benefit Correlation coefficient: Dispersion of returns: Correlation: For internal use only. Let’s have a look at two markets – e.g. equities and bonds – and their day-to-day changes. The statistical dispersion of returns is  the more linear the more correlated  the two return developments are, and  the more widespread the more uncorrelated  they are: perfectly positive un- correlated perfectly negative Return of equities Return of bonds
Backward looking: ex-post correlation 1/2 The graph illustrates the cumulative performance of  Swiss bonds and Swiss equities, from which we conclude the following risk and return figures: Based on these key figures, we calculate the correlation between the two markets as follows … Data as at 31.07.2008 / Time horizon: 31.12.1987 – 31.07.2008 How to measure it For internal use only. 11.0% 16.4% Swiss equities 4.2% 2.8% Swiss bonds Return Risk
[object Object],Situation in October 1994: ex-post correlation = 0.5* * estimated over the previous 36 month Situation in December 2000: ex-post correlation = 0* Situation in December 2004: ex-post correlation = -0.5* Backward looking: ex-post correlation  2/2 A look in the rear-view mirror 12-month rolling returns The curve shows that ex-post correlations were  rather unstable . It is thus  very difficult to predict future (ex-ante)  correlations . 1 2 3 ………………………… .. For internal use only.
Forward looking: ex-ante correlation Predicting the future ,[object Object],[object Object],[object Object],* Usually part of sophisticated risk models which are not easy to understand by clients and many practitioners. UBS Global Asset Management works with ex-ante risk models that are based on forward-looking capital market assumptions (derived from a multi-factor model and inverse optimisation). For internal use only. Ex ante correlation Ex-post correlation Ex-ante correlation ? ? ?
SECTION 2 Anticipate correlations correctly is key for investment management For internal use only.
Why is correlation important? 1/2 ,[object Object],[object Object],[object Object],[object Object],If an investor relies on falsely predicted correlations which finally turn out to be higher, the  portfolio risk  may get  out of control ! For internal use only. Diversification effect
[object Object],[object Object],[object Object],Why is correlation important? 2/2 …  may have a detrimental impact on risk! Swiss bonds Swiss equities 3% Risk (volatility) Correlation +0.5 Assumptions: Results: Weight 75% 25% 16% Correlation 0 6.6% Correlation -0.5 Expected portfolio risk False correlation assumptions … For internal use only. 3.8% 8.5%
Conclusion ,[object Object],[object Object],[object Object],[object Object],Close correlation tracking and risk management are key for all multi-asset solutions! For internal use only.
SECTION 3 Frequently asked questions For internal use only.
Frequently asked questions 1/2 ,[object Object],[object Object],1) How good are risk models? It shows the realized past correlation of two  variables, e.g. investment returns.  For multi-asset portfolios, it gives an indication of the past diversification potential. For hedging strategies, it shows the past tracking characteristics. As an example: If you used an equity index future in order to hedge parts of your portfolio and ex-post correlation was 0.98, your hedge worked decently well. The question whether this relationship persists going forward is covered by ex-ante correlation.  2) What does ex-post correlation tell? For internal use only.
Frequently asked questions 2/2 ,[object Object],3) Why is it difficult to estimate ex-ante correlation? 4) Why is it dangerous to extrapolate a seemingly stable relationship? If you expect a given correlation and construct a portfolio taking the respective diversification benefits into account, any sudden increase in correlation impacts total risk, which may get out of control. In a worst  case scenario, like an extreme market turmoil, all assets might come under pressure and, simultaneously, correlations between assets might increase. For internal use only.
The end! For internal use only.
Contact information www.ubs.com Pascal Guillet UBS Global Asset Management Product Development & Management Gessnerallee 3-5 CH-8098 Zürich +41-44-235 4314 [email_address] For internal use only.

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Correlation[1]

  • 1. The MAS Academy – vol. 7 Correlation PD&M Multi Asset Solutions For internal use only. Multi Asset Solutions: actively managed and actively explained Participation Stability Preservation Alternatives   
  • 2.
  • 3. SECTION 1 Definition and significance of correlation For internal use only.
  • 4.
  • 5. Definition 2/2 Dependency of return developments Increasing diversification benefit Correlation coefficient: Dispersion of returns: Correlation: For internal use only. Let’s have a look at two markets – e.g. equities and bonds – and their day-to-day changes. The statistical dispersion of returns is the more linear the more correlated the two return developments are, and the more widespread the more uncorrelated they are: perfectly positive un- correlated perfectly negative Return of equities Return of bonds
  • 6. Backward looking: ex-post correlation 1/2 The graph illustrates the cumulative performance of Swiss bonds and Swiss equities, from which we conclude the following risk and return figures: Based on these key figures, we calculate the correlation between the two markets as follows … Data as at 31.07.2008 / Time horizon: 31.12.1987 – 31.07.2008 How to measure it For internal use only. 11.0% 16.4% Swiss equities 4.2% 2.8% Swiss bonds Return Risk
  • 7.
  • 8.
  • 9. SECTION 2 Anticipate correlations correctly is key for investment management For internal use only.
  • 10.
  • 11.
  • 12.
  • 13. SECTION 3 Frequently asked questions For internal use only.
  • 14.
  • 15.
  • 16. The end! For internal use only.
  • 17. Contact information www.ubs.com Pascal Guillet UBS Global Asset Management Product Development & Management Gessnerallee 3-5 CH-8098 Zürich +41-44-235 4314 [email_address] For internal use only.

Notes de l'éditeur

  1. Idee: wenig zeitaufwand von CRMs, keine langen x seitigen erklärungen. Kurz, nicht mehr als 5 minuten. Mehr ‘kann’ man eh nicht absorbieren und wir wollen sie nicht langweilen… Frisch, knackig, nur das wesentliche  effizienz erhöhen Anderer auftritt mit video  weitreichendes zielpublikum, einzelbesuche mit kaffee und gipfeli schaffen wir wohl nicht, sonst sind wir bald Christophe bassenge Nicht viel anders als was wir jetzt eh machen, nur ‘neue Hülle’ und vielleicht eben kürzer, keine 2 seitigen CDOs Berichte…