A Robust Approach to Misspecifications and Non Linearities for Hedge Fund Replication and Alternative Beta

2011 ◽  
Author(s):  
Guillaume Weisang
Entropy ◽  
2021 ◽  
Vol 23 (8) ◽  
pp. 1063
Author(s):  
Brendan K. Beare

A function which transforms a continuous random variable such that it has a specified distribution is called a replicating function. We suppose that functions may be assigned a price, and study an optimization problem in which the cheapest approximation to a replicating function is sought. Under suitable regularity conditions, including a bound on the entropy of the set of candidate approximations, we show that the optimal approximation comes close to achieving distributional replication, and close to achieving the minimum cost among replicating functions. We discuss the relevance of our results to the financial literature on hedge fund replication; in this case, the optimal approximation corresponds to the cheapest portfolio of market index options which delivers the hedge fund return distribution.


Author(s):  
Dianna C. Preece

The hedge fund industry has grown to nearly $3 trillion over the last 20 years. High-net-worth individuals and institutional investors expect high returns and low correlation with traditional asset classes in exchange for the fees paid. The standard fee structure is “2 and 20,” 2 percent of assets under management and 20 percent of profits, representing high fees for active management. Hedge funds are largely unregulated and somewhat mysterious. As a result, they are the subject of debates and controversies among market participants and policymakers alike. Debates focus on fee structures, alpha versus alternative beta, weakening returns, activist investors, and leverage. The Securities and Exchange Commission has targeted hedge fund misconduct and malfeasance, pursuing perpetrators of fraud, insider trading, and conflicts of interest in the industry. Several high-ranking Wall Street hedge fund executives have been charged with, and in some cases convicted of, breaking securities laws.


Author(s):  
Mikhail Tupitsyn ◽  
Paul Lajbcygier

In theory, analogous to equity indices, hedge fund indices can provide broad exposure to hedge funds in a cost-effective manner. In practice, however, hedge fund indices are difficult to implement because direct investment in hedge funds is impractical. Unlike equities, hedge funds are not traded on liquid secondary markets and are often closed to new investment. A solution is hedge fund replication, which, rather than require direct investment in hedge funds, synthetically recreates hedge fund index returns by investing in portfolios that are exposed to the same underlying economic factors that drive hedge fund returns. This approach provides broad, cost-effective, hedge fund exposure and avoids the practical problems associated with direct hedge fund investment. As a consequence, such hedge fund clones exhibit lower tracking error and substantially higher raw and risk-adjusted returns than both investible and noninvestible hedge fund indices.


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