Cryptocurrency has recently emerged as a financial asset among policymakers, investors and academics as a new alternative asset in the financial landscape. This research intends to empirically evaluate the safe haven, diversification and hedging potentials of digital currencies against the Indian equity market during different time frames. Four cryptocurrencies (Bitcoin, Ethereum, Binance Coin and Ripple) and Nifty 50 index data have been collected on a daily basis, from 26 July 2017 to 31 August 2023, for this purpose. Using wavelet-based methods, the study has discovered higher volatility in Nifty 50 and cryptocurrency prices during the crisis and stronger co-movement between pairs of equities and cryptocurrencies. Furthermore, the study finds that, under normal economic conditions, cryptocurrency can hedge the Indian stock market over short-term, medium-term and long-term investment horizons. However, investing in cryptocurrencies in the Indian stock portfolio for the short term does not give any safe haven or diversification advantages during times of economic crisis. Finally, we anticipate that the findings of our study will provide valuable insights into the potential usage of cryptocurrencies in the Indian stock market, both in stable and turbulent economic conditions. JEL Codes: G01, G41, N2, P34