The purpose of this study is to find evidence that shows that either active management of private pension funds in Colombia actually adds value to the investors or, on the contrary, investors would achieve better results if they invested in passively managed products such as, for example, an ETF (Exchange Trade Fund). After conducting a review of data available from 30 different private pension funds in Colombia and 30 ETFs that had similar investment goals to these portfolios, our findings reveal that, using common performance indicators, a Colombian investor would have a better ROI by investing in passively managed products (ETFs) than in portfolios currently offered by voluntary pension funds in Colombia.

In times of exogenous systemic shocks, such as the COVID-19 pandemic, it is important to identify hedge or safe haven assets. Therefore, this paper analyzes changes in the idiosyncratic risk of Bitcoin in a portfolio of commodities and global stocks. For this purpose, the M-GARCH model employed considers the interdependence among all the portfolio assets by using a time-varying asset pricing framework. This framework measures the impact of commodities and global stock prices as sources of systemic risk for Bitcoin returns before and after the COVID-19 pandemic. The evidence suggests that during the COVID-19 pandemic, the effects of changes in commodities and global prices on the idiosyncratic risk of Bitcoin were statistically significant. The idiosyncratic risk of Bitcoin measured as a percentage of total variance not accounted for by the proposed model rose from 86.06% to 95.05% during the pandemic. These results are in line with previous studies regarding the properties of Bitcoin as a hedge or safe haven asset for a portfolio composed of commodities and global stocks.

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