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includes the use of short sales will not in and of itself result in a breach of the fund manager s duties of prudence Similarly, ERISA s requirement that a plan s assets be diversi ed is not determined in isolation If a fund manager diversi es its portfolio within the parameters described in the offering materials, the fact that the fund has a limited investment style will not result in a breach of the fund manager s duty to diversify However, if a large percentage of a plan s assets is invested in a single fund, the fund manager may have to take into account the overall diversi cation and cash ow needs of the plan For this reason, it may be advisable for the fund to limit the percentage of a single plan s assets that can be invested in the fund.

! 17:9-6

Riemannian Manifold. The form in (6.19) is independent of the parameterization, but the terms inside the integrand are not. It is possible to give an expression that consists of three terms independent of the parameterization in the case when W is a Riemannian manifold. When such a Riemannian metric is not given, it is always possible to use the metric g induced by the process itself (see Taylor and Adler, 2003) by setting

One-sided t. Two-sided t. b= 1.1 1.2 1.3 1.4 1.5 0.5 9 8 8 7 7 6 6 6 6 5 8 8 8 7 7 6 5 5 5 5 7 7 6 6 6 6 6 6 6 6 6 5 7 7 6 6 6 6 6 5 12 11 10 10 9 10 9 8 8 7 9 8 7 7 7 7 7 7 6 6 5 10 9 8 8 7 8 7 7 6 6 7 6 6 6 5 6 5 8 8 7 7 6 6 6 5 6 6 6 5 6 5 0.01 21 18 16 14 13 0.05 16 14 13 11 10 0.5 8 7 6 6 6 0.01 18 15 14 12 11 0.5 6 5 0.01 15 13 11 10 9 0.05 11 10 8 8 7 8 8 8 7 7 7 6 6 6 6 5

ERISA also requires that a duciary act with the exclusive purpose of providing bene ts to the plan s participants and their bene ciaries It prohibits a duciary from engaging in transactions wherein its duty to the plan may be compromised by its own interests, or by its duties to another party [ERISA secs 404(a)(1) and 406(b)] Certain arrangements that are customary in market neutral investing may thus be proscribed for market neutral fund managers that are ERISA duciaries For example, borrowing securities from an af liated broker-dealer to enter into a short sale is prohibited, as is hiring and paying an af liate for performing services, even if those services are necessary and the compensation is reasonable ERISA requires that the fees paid to an ERISA duciary be reasonable with respect to the services performed [ERISA sec 408(b)].

< xml version= 1.0 encoding= ISO-8859-1 > <Customers> <Customer> <Personal> <ID> C001 </ID> <LastName> Brown </LastName> <FirstName> Nancy </FirstName> </Personal> <Deposit> <DocumentNumber> FD00025 </DocumentNumber> <StartDate> 12/12/2001 </StartDate> <Days> 91 </Days> <MaturityDate> 03/13/2002 </MaturityDate> </Deposit>

using the Cauchy Schwarz inequality and the continuity of f ( ) since is in ( L1 . Summing up, (10.28) and (10.29) imply that lim 0 g ) (0) = f ( ) (0), and we are done. Theorem 10.9. Let X be a Gaussian process satisfying the hypotheses of Proposition 10.8 and F a function in L2 ( (x)dx) with Hermite rank 1. Then, as t + , 1 t Tt = t