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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > BIMSA Digital Economy Lab Seminar Index-Mixed Optimal Portfolio Selection Under Borrowing Restrictions
Index-Mixed Optimal Portfolio Selection Under Borrowing Restrictions
Organizers
Rui Ze Gao , Li Yan Han , Zhen Li , Fei Long , Ke Tang
Speaker
Shengyin Jia
Time
Friday, April 18, 2025 3:00 PM - 4:00 PM
Venue
A3-2a-302
Online
Zoom 637 734 0280 (BIMSA)
Abstract
Given a set of risky assets, we consider mean-variance (MV) optimal portfolio selection under exogenous borrowing restrictions to achieve increased target returns. We show that MV-efficiency can be improved significantly by mixing the risky assets with a market fund (such as a benchmark index asset) rather than infusing with additional capital. We derive theoretical conditions related to asset and market parameters that lead to enhancing portfolio efficiency without external borrowing. This contrasts with the usual practice under unconstrained borrowing, where it is optimal to proportionately-leverage the tangency portfolio on the securities market line to achieve higher targets at lower volatility risk. We conduct an empirical study with select-sector ETF assets underlying the S&P 500 index to evaluate the out-of-sample performance of our optimal mixed-fund approach. The resulting risk-adjusted returns are shown to generate positive excess returns, relative to the usual MV model, without incurring additional margin risk or trading intensity. The proposed approach has the potential to narrow the gap in performance enjoyed by borrowing-unconstrained investors who employ the concept of low-beta anomaly.
Beijing Institute of Mathematical Sciences and Applications
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