How to Mine Gold Without Digging

Kevin Guo, Tim Leung, Brian Ward
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Abstract

This paper examines the main drivers of the returns of gold miner stocks and ETFs during 2006–2017. We solve a combined optimal control and stopping problem to demonstrate that gold miner equities behave like real options on gold. Inspired by our proposed model, we construct a method to dynamically replicate gold miner stocks using two factors: the spot gold ETF and market equity portfolio. Furthermore, through each firm’s factor loadings on the replicating portfolio, we dynamically infer the firm’s implied leverage parameters of our model using the Kalman Filter. We find that our approach can explain a significant portion of the drivers of firm implied gold leverage. We posit that gold miner companies hold additional real options which help mitigate firm downside volatility, but these real options contribute to lower returns relative to the replicating portfolio when gold returns are positive.
如何在不挖掘的情况下开采黄金
本文研究了2006-2017年期间金矿股和etf回报的主要驱动因素。我们解决了一个组合最优控制和停止问题,以证明金矿公司股票的行为类似于黄金的实物期权。受该模型的启发,我们构建了一种利用现货黄金ETF和市场股票组合两个因素动态复制金矿公司股票的方法。此外,通过每个公司对复制投资组合的因素负荷,我们使用卡尔曼滤波器动态地推断出模型中公司隐含的杠杆参数。我们发现我们的方法可以解释很大一部分公司隐含黄金杠杆的驱动因素。我们假设金矿公司持有额外的实物期权,这有助于减轻公司的下行波动性,但当黄金回报为正时,这些实物期权相对于复制投资组合的回报较低。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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