Simple Dynamic Stock/Bond/Gold Portfolios

๐Ÿ“… 2026-09-07
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ๆœฌๆ–‡ๆŽข่ฎจไบ†ๅˆฉ็”จๅ…ฌๅผ€ๆ•ฐๆฎๅ’Œ้‡ๅŒ–้‡‘่žๆ ‡ๅ‡†ๆ–นๆณ•๏ผŒ้€š่ฟ‡็ฎ€ๅ•็š„ๆณขๅŠจ็އๆŽงๅˆถๅ’ŒๅŸบไบŽๅ‡ธไผ˜ๅŒ–็š„ๅคๆ‚็ป„ๅˆ็ญ–็•ฅ๏ผŒๆ”น่ฟ›ไผ ็ปŸ็š„่‚ก็ฅจ/ๅ€บๅˆธ/้ป„้‡‘ๅ›บๅฎšๆƒ้‡ๆŠ•่ต„็ป„ๅˆ็š„้—ฎ้ข˜ใ€‚
๐Ÿ“ Abstract
For more than four decades, the 60/40 stock/bond portfolio has served as a benchmark for delivering reasonable returns without excessive risk. More recently, a 50/30/20 stock/bond/alternative portfolio has been suggested. We use gold as the alternative and as an inflation hedge. In this paper we ask: how much improvement over these benchmark fixed-weight portfolios can be obtained using widely available public data and standard methods from quantitative finance? We restrict ourselves to long-only dynamic portfolios of stocks, bonds, and gold, plus cash, rebalancing monthly, using only publicly available data. We evaluate portfolios on the conventional metrics: return, volatility, Sharpe ratio (computed in excess of the federal funds rate), drawdown, and turnover, in addition to consistency of performance over time, judged by the consistency of the realized annual volatility. Over the 20--year period 2006--2026, using a conservative estimate of trading costs, we show that all risk-adjusted and drawdown metrics are improved using simple volatility control, where we dynamically mix the fixed-weight portfolios with cash so as to target a fixed volatility. This method relies on a simple estimate of portfolio volatility derived from past returns. We also demonstrate that more sophisticated portfolios based on convex optimization---similar to those used in quantitative hedge funds---yield further substantial improvement in return and risk-adjusted return. We consider two such portfolios, one that uses a simple estimate of future returns based on past returns, and one that forecasts future returns based on past returns and just a handful of widely available public economic data. These portfolios also outperform a suite of standard risk-based allocation methods, such as risk parity and minimum variance, evaluated on the same assets and data.
Problem

Research questions and friction points this paper is trying to address.

stock/bond portfolio
public data
quantitative finance
performance improvement
Innovation

Methods, ideas, or system contributions that make the work stand out.

volatility control
convex optimization
dynamic portfolio
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