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Using an econometric methodology from [Cappiello, Lorenzo, Robert F. Engle, and Kevin Sheppard. 2006. “Asymmetric Dynamics in the Correlations of Global Equity and Bond Returns.”  Journal of Financial Econometrics  4 (4): 537–572.], we evaluate time-varying correlations between multiple asset classes using an asymmetric-DCC GARCH model. Specifically, we focus on the changes in these correlations during quantitative easing. We then use these conditional correlations, along with conditional means and variances to find optimal investment portfolios using Markowitz mean-variance minimization. Lastly, we compute time-varying Sharpe ratios. Our results show increasing Sharpe ratios during the period of quantitative easing which suggests that the Federal Reserve’s programs were successful in increasing returns and minimizing risk – i.e. volatility – across several asset classes during the financial crisis.

Time-varying correlations and Sharpe ratios during quantitative easing