
Elsevier UK CH04-H8321 jobcode: FEF 28-6-2007 2:21p.m. Page:99 Trimsize:165
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99 Optimal portfolios from ordering information
(Using the max value has the disadvantage that it requires F
−1
z at z =0 1, which is not
defined.)
For the normal distribution, these formulas are special cases, with = 0 1, of ‘Blom’s
approximation’ (Blom, 1958)
c
jn
≈ N
−1
n
n
+
−
1
2
−
j
+
−
1
Blom shows (in part analytically, in part reasoning from numerical results) that the values
= 033 and 0.50 provide lower and upper bounds for the true value of