[R] opimization problem
Jim McLoughlin
jimmcloughlin at earthlink.net
Mon May 2 22:06:28 CEST 2005
The form of the problem looks like you are trying to do a mean-variance
portfolio optimization. If that is the case, you should not be dealing
with variance as a restriction, but as part of the objective function:
max (r'*w - rho*w'*V*w)
s.t. sum(w) == 1
where rho is a risk aversion parameter.
You can solve this as a quadratic programming problem using either 1)
solve.QP from the quadprog package; 2) portfolio.optim in package
tseries
see http://tolstoy.newcastle.edu.au/R/help/05/01/10505.html for details
on how to use the two.
>> On Sunday 01 May 2005 19:21, Gottfried Gruber wrote:
>>> hi,
>>>
>>> i want to execute the following opimization problem:
>>> max r*w
>>> s.t.: w*z=1 # sum of w is 1
>>> r, w are [nx1] vectors, z is a [nx1] vector consisting of 1
>>> so far so good, works fine with lp
>>>
>>> the problem arises with the additional restriction
>>> w' * V * w
>>> where V is a [nxn] matrix
>>> how can i include this restriction since w arises twice?
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