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Leveraged funds: robust replication and performance evaluation
Date
2023
Abstract
Leveraged and inverse exchange-traded funds seek daily returns equal to fixed multiples of indexes’ returns, but the ensuing rebalancing costs create a tension between a high correlation with the index and a low average deviation from the leveraged index’ performance. With proportional trading costs, we find that the optimal replication policy is robust to the index’ dynamics and obtain a sufficient statistic for index replication performance, the implied spread, which is insensitive to risk-premia and enables comparisons of funds tracking different factors of an index. Overall, the impact of trading costs on replication performance is comparable to or higher than the effect of management fees
Supervisor
Description
Publisher
Taylor & Francis Group
Citation
Quantitative Finance 23(7-8), pp.1155–1176