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Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation. II Discuss how LTCM’s Portfolio Optimization went wrong, including the portfolio’s correlation factor. III Discuss Portfolio Optimization and some problems associated with it. IV Contrast a simpler alternative to more elaborate strategies while producing more consistent performance
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Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

Dec 21, 2015

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Page 1: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

Portfolio Optimization

I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

II Discuss how LTCM’s Portfolio Optimization went wrong, including the portfolio’s correlation factor.

III Discuss Portfolio Optimization and some problems associated with it.

IV Contrast a simpler alternative to more elaborate strategies while producing more consistent performance

Page 2: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

I a

Page 3: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

I b

http://www.creativewealthstrategies.com/Modern_Portfolio_Theory.doc

Page 4: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

I c

Page 5: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

The Efficient Frontier for S&P 100

I dhttp://www.nag.co.uk/doc/TechRep/Pdf/tr2_00.pdf

Page 7: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

Efficient Frontier.

I f

http://en.wikipedia.org/wiki/File:Markowitz_frontier.jpg

Page 8: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

Portfolio Optimization with two assets

Corporate Bond Treasury Risk-free

Optimal Portfolio

II a

Value at Risk, 3rd Ed.: The New Benchmark for Managing Financial Risk, Philippe Jorion, pps 557-563

Page 9: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

Portfolio Optimization

Capital Allocation Line

The Efficient Frontier

II b

Corporate Bond

Treasury Bond

Value at Risk, 3rd Ed.: The New Benchmark for Managing Financial Risk, Philippe Jorion, pps 557-563

Page 10: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

II c

www.indexfundeducator.com

Page 11: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

II d

www.indexfundeducator.com

Page 12: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

II e

www.indexfundeducator.com

Page 13: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

Risk and the Number of Securities

Risk (% pa)

Number of Securities

II f

Value at Risk, 3rd Ed.: The New Benchmark for Managing Financial Risk, Philippe Jorion, pps 557-563

Page 14: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

II g

Value at Risk, 3rd Ed.: The New Benchmark for Managing Financial Risk, Philippe Jorion, pps 557-563

Page 15: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

default-rate volatility

Moody’s Investor Services, Alexandra Berthault

II h

Page 16: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

III a http://www.travismorien.com/FAQ/portfolios/mptcriticism.htm

Page 17: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

IV a

Page 18: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

IV b

Page 19: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

IV c

Passive Investing Produces Better Returns Over Time

Page 20: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

IV d

The business schools reward difficult complex behavior more than simple behavior, but simple behavior is more effective. - Warren Buffett

http://www.travismorien.com/FAQ/portfolios/mptcriticism.htm

Page 21: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

To summarize:

Optimum portfolio is where

Efficient frontier meets the CAL

http://www.moneychimp.com/articles/valuation/capm.htm

Page 22: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

Lessons learned from LTCM

Value at Risk, 3rd Ed.: The New Benchmark for Managing Financial Risk, Philippe Jorion, pps 557-563

Page 23: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

MPT Not Realistic

http://www.travismorien.com/FAQ/portfolios/mptcriticism.htm

Page 24: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

Passive Investing Produces Better Returns Over Time

Page 25: Portfolio Optimization I Discuss aspects of PO, including the Efficient Frontier, Capital Allocation Line, Modern Portfolio Theory and Portfolio Correlation.

Thank you