How Much Information Is Required to Time the Market?

Rongju Zhang,Henry Wong
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Abstract

In this article, the authors present an analytical explanation for why it can be difficult to devise a successful market timing strategy. The authors derive formulas to estimate the minimum required information coefficient for a timing strategy to outperform a buy-and-hold market benchmark, both with and without an alpha target. They show that markets with high Sharpe ratios and those that have low volatility are by nature hard to time. They also show that having high market exposure in a market timing strategy is generally beneficial; however, there can be a critical point beyond which additional market exposure makes timing more difficult. The authors extend the model to cover practical considerations such as transaction costs, skewness and fat tails, and market timing with two correlated assets. Finally, they present a case study to illustrate how investors could apply their framework to choose the optimal market exposure in a market timing strategy using the S&P 500. Key Findings ▪ Under a bivariate normal framework, the authors show that the expected return of a timing strategy comes in two additive parts: one part driven by timing information and the other driven by average market exposure. ▪ There is generally a theoretical nonzero information threshold for a timing strategy to beat a buy-and-hold benchmark. This threshold can serve as a useful guide to determine whether a timing strategy is likely to succeed, complementing historical backtests. ▪ Although an investor can increase timing strategy return by increasing average market exposure without having more timing information, the difficulty of beating a buy-and-hold benchmark with an alpha target increases dramatically as average market exposure becomes very high.
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判断市场时间需要多少信息?
在这篇文章中,作者提出了一个分析解释,为什么很难设计一个成功的市场时机策略。作者推导出公式,以估计在有α目标和没有α目标的情况下,优于买入并持有市场基准的时机策略所需的最小信息系数。它们表明,夏普比率高的市场和波动性低的市场本质上很难把握时机。他们还表明,在市场时机策略中拥有较高的市场敞口通常是有益的;然而,可能会有一个临界点,超过这个临界点,额外的市场敞口会使时机选择变得更加困难。作者扩展了该模型,以涵盖实际考虑因素,如交易成本、偏度和肥尾,以及两种相关资产的市场时机。最后,他们提出了一个案例研究,以说明投资者如何应用他们的框架,在使用标准普尔500指数的市场时机策略中选择最佳市场敞口。▪在二元正态框架下,作者表明择时策略的预期收益由两个可加部分组成:一部分由择时信息驱动,另一部分由平均市场敞口驱动。▪一般来说,一个打败买入并持有基准的时机策略存在一个理论上的非零信息阈值。这个阈值可以作为确定择时策略是否可能成功的有用指南,补充历史回溯测试。虽然投资者可以通过增加平均市场敞口来增加时机策略的回报,而不需要更多的时机信息,但随着平均市场敞口变得非常高,击败带有阿尔法目标的买入并持有基准的难度急剧增加。
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