Dynamic Portfolio Choice with Intertemporal Hedging and Transaction Costs

• 成果类型: Article; Early Access
• 署名作者: Muhle-Karbe, Johannes; Sefton, James; Shi, Xiaofei
• 署名单位: Imperial College London; Imperial College London; University of Toronto
• 刊物名称: MANAGEMENT SCIENCE
• ISSN/ISSBN: 0025-1909
• DOI: 10.1287/mnsc.2024.05913
• 发表日期: 2025
• 关键词: dynamic portfolio optimization; intertemporal hedging; transaction costs

摘要

When returns are partially predictable and trading is costly, utility-maximizing investors track a target portfolio at a constant trading speed. The target portfolio is optimal for a frictionless market, where asset returns are scaled back to account for trading costs and volatilities are adjusted to proxy the execution risk of holding assets that are costly to trade and exposed to volatile states. The trading speed solves an optimal execution problem, which describes how the legacy portfolio inherited from the past is traded toward the target portfolio in an optimal manner. Unlike for period-by-period mean-variance preferences, the target portfolio hedges changes in investment opportunities, and both it and the trading speed are linked and depend on execution risk. We set the problem out first in an absolute framework-price shocks independent of the price level, and investors have CARA preferences-and then in a relative framework, with price shocks scaled by price levels and CRRA preferences. We illustrate the practical implications of these results in a model where market return predictions are based on a short-term momentum and a longterm value signal.