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This study explores the return and volatility spillovers between S&P 500 and cryptocurrencies [Litecoin (LTC), Bitcoin (BTC) and Ethereum (ETH)] during the pre-COVID-19 period and COVID-19 period using the VAR–BEKK–AGARCH model on hourly data. Furthermore, this study also quantifies the optimal portfolio weights and hedge ratios during both sample periods. The findings of study show that the return and volatility spillovers between the US stock and cryptocurrency markets are not significant during the pre-COVID-19 period. However, the study finds unidirectional return transmission from S&P 500 to all the cryptocurrencies during the COVID-19 period. During the COVID-19 period, the volatility spillover is unidirectional from S&P 500 to Litecoin, whereas the volatility transmissions are not significant for the pairs of S&P 500–Bitcoin and S&P 500–Ethereum. Based on optimal weights, the portfolio managers are recommended to slightly decrease their investments in S&P 500 for the portfolios of S&P 500/BTC, S&P 500/ETH and S&P 500/LTC during the COVID-19 period. Finally, during the COVID-19 period, all hedge ratios were found to be higher, implying higher hedging costs during the COVID-19 period compared to the pre-COVID-19 period. Our research offers valuable insights to the fund managers, investors and policymakers regarding diversification opportunities, hedging, optimal asset allocation and risk management.