Multivariate quadrature (approximation of joint distribution for portfolio choice)
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I would like to numerically compute an optimal portfolio, using multiple assets, which are correlated.
So my question is:
- Is there a standard approach for multi-dimensional quadrature? (standard deviation and covariance are sufficient statistics). I only saw this on the file exchange: https://nl.mathworks.com/matlabcentral/fileexchange/13508-multi-dimensional-gauss-points-and-weights
- Or is the standard approach to use Monte Carlo simulation, using random draws from a multi-variate distribution (random number generator)
I specifically do not want to use theoretical solutions, but numerical ones.
Many thanks in advance!