The Stable non-Gaussian Asset Allocation: A Comparison with the Classical Gaussian Approach
We analyze a multistage stochastic asset allocation problem with decision rules. The uncertainty is modeled using economic scenarios with Gaussian and stable Paretian non-Gaussian innovations. The optimal allocations under these alternative hypothesis are compared. If the agent has very low or very high risk aversibility, then the Gaussian and stable non-Gaussian scenarios result in similar allocations. When the risk aversion of the agent is between these two extreme cases, then the two distributional assumptions result in very diï¿½erent asset allocations. Our calculations suggest that the allocations may be up to 85% different depending on the level of risk aversion of the agent.
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