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Questions related to mathematical methods used for searching of optimal portfolio structures. Also related to questions on optimal structure of portfolios from both strategic and tactical point of view

3 votes
1 answer
649 views

Different ways of portfolio optimization

There are different ways to optimize portfolios: $$ \max R^Tw\tag{1}$$ or $$ \min w^T \Sigma w\tag{2}$$ and finally using a risk tolerance $\lambda$: $$ \min{(w^T\Sigma w-\lambda R^T w)}\tag{3}$ …
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  • 1,770
12 votes
1 answer
250 views

portfolio optimization averaging weights, what are benefits?

I'm playing around with different portfolio optimization techniques. Amongst others I was also looking at the resampling method, especially the one described in Meucci. I have two general questions re …
math's user avatar
  • 1,770
1 vote
1 answer
79 views

MPT and the connection to asset prices / initial capital

I have some question about MPT. Suppose we want to build a portfolio given $N$ assets: $A_1,\dots,A_N$. At time $t$ we build the portfolio using MPT, which yields some weight vector $w_t=(\lambda_1,\d …
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  • 1,770
2 votes
1 answer
968 views

reference question about portfolio optimization

I know the "classical" modern portfolio theory. However I have quite a lot of different sources. It seems that there is not a book which cover this topic in a rigorous way: theory application exampl …
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  • 1,770
6 votes
2 answers
873 views

tail dependency for portfolio optimization

This question pops up in my head every few weeks and I'm struggling to really understand the concept / theory behind it. We all know there are different kind of measures of dependencies out there. Fr …
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  • 1,770
3 votes
1 answer
242 views

Why is this utility function not picking up its penalty?

I was reading this seminal paper by Infanger. On page 40, Figure 11. was quite interesting. In particular I was interested in the top one, 19 Years and I wanted to reproduce this plot. To give some ba …
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  • 1,770
1 vote
Accepted

Why is this utility function not picking up its penalty?

The problem was a missing $W_t$ in the equation for correlation. I've updated the above code and did a rerun. We have now the following allocation which is much closer to the Infanger paper. > solmat …
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  • 1,770