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We investigate the connectedness between the Bitcoin Price Index (BPI) and widely traded financial assets from a variety of markets (equities, bonds, commodities and fiat currency). Using daily data from 5 August 2013 to 31 August 2021 (before and during the COVID-19 crisis), we run the VAR model estimation to investigate any connectedness between the BPI and financial assets, followed by the Granger causality test. We then test Diebold and Yilmaz’s (2012) framework to analyse the spillover effects among our set of variables. Our empirical results provide strong evidence that the BPI index exhibits significant independence from widely traded financial assets. This independence is less pronounced during the COVID-19 crisis, but remains relatively important. To test whether Bitcoin constitutes a relevant diversification vehicle, we compute the Sharpe portfolio performance index of two portfolios of conventional assets with and without the BPI, before and during the COVID-19 crisis. Our results show that the introduction of the BPI index as a diversification asset does not improve portfolio performance. Overall, our empirical findings are robust to different robustness tests and provide several implications for hedgers, portfolio managers and policymakers. JEL Classification: C32, C5, G1.