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Hedge Fund Strategies
Market neutral
Market neutral

Index:
1. Definitions
2. Correlation neutrality
3. Mean neutrality
4. Variance neutrality
5. Value-at-risk neutrality
6. Tail neutrality
7. Complete neutrality
8. Are market-neutral hedge funds really market neutral?
1. Definitions

Market neutrality:
“Depth”: reproduces the completeness of the neutrality of
the fund to market risks;
“breadth”: reveals the number of market risks to which
the hedge fund is neutral.
(Patton, 2004)
2. Correlation neutrality

Correlation neutrality:
An investor facing returns that are multivariate normally
distributed or one with quadratic utility, will only
require linear correlation as the measure of
dependence.

(Patton, 2008)
3. Mean neutrality

Mean neutrality:
Is the expected return on the fund being independent of the
return on the market. Requires not only that there are no
nonlinear relationships, but also that there is no linear
relationship between the market return and the fund return.

(Patton, 2008)
4. Variance neutrality

Variance neutrality:
Considering risk as measured by variance, while not constant,
is expected that the risk of the fund does not increase at the
same time as the risk of the market index. That means the
risk of the fund is neutral to market risk.

(Patton, 2008)
5. Value-at-risk neutrality

Value-at-risk neutrality:
Given that the VaR of a fund is simply a quantile of its
distribution of returns, value-at-risk neutrality implies
that all quantiles of the fund are neutral to the market.

(Patton, 2008)
6. Tail neutrality

Tail neutrality:
Implies that conditioning on the fact that an extremely
low return on the market is observed do not affect the
probability of an extremely low return on the fund.
(Patton, 2008)
7. Complete neutrality

Complete neutrality:
Requires completely indenpence on the market return
by the distribution of fund returns.

(Patton, 2008)
References

Patton, A. J., 2004, ‘Are “Market Neutral” Hedge
Funds Really Market Neutral?’ London School of
Economics
Patton, A. J., 2008, ‘Are “Market Neutral” Hedge
Funds Really Market Neutral?’ Oxford University Press

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Market Neutral - Hedge Fund Strategies

  • 2. Market neutral Index: 1. Definitions 2. Correlation neutrality 3. Mean neutrality 4. Variance neutrality 5. Value-at-risk neutrality 6. Tail neutrality 7. Complete neutrality 8. Are market-neutral hedge funds really market neutral?
  • 3. 1. Definitions Market neutrality: “Depth”: reproduces the completeness of the neutrality of the fund to market risks; “breadth”: reveals the number of market risks to which the hedge fund is neutral. (Patton, 2004)
  • 4. 2. Correlation neutrality Correlation neutrality: An investor facing returns that are multivariate normally distributed or one with quadratic utility, will only require linear correlation as the measure of dependence. (Patton, 2008)
  • 5. 3. Mean neutrality Mean neutrality: Is the expected return on the fund being independent of the return on the market. Requires not only that there are no nonlinear relationships, but also that there is no linear relationship between the market return and the fund return. (Patton, 2008)
  • 6. 4. Variance neutrality Variance neutrality: Considering risk as measured by variance, while not constant, is expected that the risk of the fund does not increase at the same time as the risk of the market index. That means the risk of the fund is neutral to market risk. (Patton, 2008)
  • 7. 5. Value-at-risk neutrality Value-at-risk neutrality: Given that the VaR of a fund is simply a quantile of its distribution of returns, value-at-risk neutrality implies that all quantiles of the fund are neutral to the market. (Patton, 2008)
  • 8. 6. Tail neutrality Tail neutrality: Implies that conditioning on the fact that an extremely low return on the market is observed do not affect the probability of an extremely low return on the fund. (Patton, 2008)
  • 9. 7. Complete neutrality Complete neutrality: Requires completely indenpence on the market return by the distribution of fund returns. (Patton, 2008)
  • 10. References Patton, A. J., 2004, ‘Are “Market Neutral” Hedge Funds Really Market Neutral?’ London School of Economics Patton, A. J., 2008, ‘Are “Market Neutral” Hedge Funds Really Market Neutral?’ Oxford University Press