ÎÊÌ⣺Leveraged Portfolio Selection under Liquidity Risk: Model, Theory,
and Computation
Ö÷½²ÈË£ºChanaka Edirisinghe, ÃÀ¹úÂ×˹ÀÕÀí¹¤Ñ§Ôº ½²Ï¯½ÌÊÚ, LallyÖÎÀíѧԺѧÊõ¸±Ôº³¤
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When a financial portfolio is rebalanced under market conditions to
satisfy leverage and other restrictions, asset illiquidity adversely-impacts
trading prices, and hence, the portfolio's performance. Using a continuous-time
trading model, we study the Pareto-efficiency between risk-adjusted return,
leverage, and target return. We show analytically that the Sharpe-maximizing
unlevered portfolio is no longer a tangency portfolio, and
proportionate-leveraging is not an optimal strategy under liquidity risk. As
target return increases, the required minimum portfolio-leverage increases at
an increasing-rate, while the Sharpe-Leverage frontiers are
progressively-dominated. These results contrast with the classical portfolio
theory that assumes no liquidity risk, and our empirical analysis using ETF
asset-data verifies that ignoring liquidity impact may lead to severe portfolio
under-performance.
If time permits, I will also consider a specific situation involving only
de-leveraging, where the model is simplified to maximize portfolio¡¯s expected
value under leverage and margin limits. This leads to a separable model, but it
is extremely difficult to solve due to non-convexity. I will present a new and
general dual cutting plane technique that solves the Lagrangian dual
more-efficiently. The sensitivities of the optimal deleveraging strategy to
leverage and margin limits will be discussed in the context of the above data
set.
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Dr. Chanaka Edirisinghe holds a BS (Mechanical Engineering), an M.Eng
(Industrial Engineering and Management), and a Ph.D. (Management Science) from
University of British Columbia, Canada. He has published extensively in
operations research and finance, focusing on quantitative finance topics, as
well as stochastic and quadratic optimization. His research appears in
Management Science, Operations Research, Mathematical Programming, Mathematics
of Operations Research, as well as in Journal of Financial and Quantitative
Analysis, Journal of Banking and Finance, and Quantitative Finance, among
others. He received the Citation of Excellence Award by Emerald Management Reviews
in 2009 for publishing one of the top 50 management research articles in the
world. He was a former Vice Chair of Financial Services Section, as well as
Optimization Society of INFORMS, and he was the General Chair of the INFORMS
2016 annual conference.
Chanaka Edirisinghe½ÌÊÚÓÚ¼ÓÄôóÓ¢Êô¸çÂ×±ÈÑÇ´óѧ»ñµÃÖÎÀí¿ÆÑ§²©Ê¿Ñ§Î»¡¢¹¤³Ìѧ˶ʿѧλ¼°¹¤Òµ»úе¹¤³Ìѧʿѧ룬²¢ÔÚÔ˳ïѧºÍ½ðÈÚѧÁìÓò½ÒÏþÁË´ó×ÚÎÄÕ£¬ËûרעÓÚÁ¿»¯½ðÈÚ¡¢Ëæ»úºÍ¶þ´ÎÓÅ»¯¡£ËûÔÚManagement Science,
Operations Research, Mathematical Programming, Mathematics of Operations
Research, Journal of Financial and Quantitative Analysis, Journal of Banking
and Finance, Quantitative Finance
µÈÔÓÖ¾ÉϽÒÏþ¹ýÎÄÕ£¬²¢ÓÚ2009Äê»ñµÃEmerald Management Reviews½ÒÏþµÄCitation of Excellence Award¡£ËûÔøµ£µ±ÃÀ¹úÔ˳ïÓëÖÎÀí¿ÆÑ§Ð»á£¨INFORMS£©½ðÈÚЧÀÍ·Ö»áºÍÓÅ»¯·Ö»á¸±Ö÷ϯ£¬²¢ÇÒµ£µ±INFORMS 2016Äê»áµÄ´ó»áÖ÷ϯ¡£
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