The Impact of Size and Leverage on Equity Volatility

James K. Herr
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Abstract

Many valuation practitioners rely on equity volatilities when performing equity allocations, derivative valuations, discounts for lack of marketability, or contingent consideration analyses. Yet in contrast to other commonly accepted valuation adjustments,1 practitioners still appear hesitant to adjust historical or implied volatilities from publicly traded comparables for differences in size when performing these types of analyses, despite theory that these factors should impact equity volatility.2 Instead, preference is usually made in the industry to adjust equity volatilities for leverage alone. In this paper I provide analytical support across a twenty-year time horizon using a five-year lookback period to examine the empirical impact of size and leverage on equity volatilities. I find that size has substantial impact on equity volatilities and provide suggested volatility size adjustments for equity volatility. Further, I find evidence that while leverage does have an impact on equity volatilities, ...
规模和杠杆对股票波动的影响
许多估值从业人员在执行股票分配、衍生品估值、缺乏市场性的折扣或或有对价分析时依赖于股票的波动性。然而,与其他普遍接受的估值调整相比,1从业人员在执行这些类型的分析时,似乎仍然不愿调整公开交易可比品的历史或隐含波动率,以适应规模差异,尽管理论认为这些因素应该影响股票波动相反,该行业通常倾向于仅根据杠杆调整股权波动。在本文中,我提供了跨越20年时间跨度的分析支持,使用5年回顾期来检验规模和杠杆对股票波动的实证影响。我发现规模对股票波动有实质性的影响,并为股票波动提供了建议的波动大小调整。此外,我发现有证据表明,虽然杠杆确实对股票波动有影响,但……
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