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Most of the literature on life cycle investment portfolio analysis focuses on the allocation between risky stocks and safe bonds. We introduce a new risky asset class, cryptocurrency, to a standard consumption-investment life cycle model. Our model suggests that the optimal investment profile in cryptocurrencies declines with age. Young investors mainly invest in cryptocurrency. As age and wealth increase, investors transition to mostly stocks mid-career and mostly bonds in retirement. A welfare analysis shows significant utility losses from not participating in the cryptocurrency market or not adjusting cryptocurrency portfolio shares throughout the life cycle.

Optimal cryptocurrency portfolio allocation over the life cycle