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3
votes
3answers
57 views

Budget Constraint in Sharpe Ratio Optimization

I am a math student and I am trying to understand the budget constraint in Sharpe Ratio optimization for portfolio design. Recall the budget constraint requires that the sum of the portfolio weights ...
4
votes
3answers
227 views

Sampling problem in portfolio optimization

In a summary I am trying to do the following Bond Subset 1 : Get list of USD Bonds --> Filter out Bonds which have YTM > y% DUR > 10 Y etc. .. This gives us Bonds which we are interested in. So ...
5
votes
1answer
68 views

Overview of robust/regularized portfolio selection

I am looking for either a review paper or individual papers on portfolio selection using robust statistics or regularization (e.g. LASSO, Ridge, etc.) I.e. a review on methods along the lines of: M ...
0
votes
0answers
48 views

I want to optimize an equity portfolio for the four central moments can anyone help me with the problem formulation

Basically i am confused as to which formula to use for portfolio skew and kurtosis and how to use the same in the optimization problem. I would also like to know the options available regarding the ...
2
votes
1answer
135 views

Determining the portfolio return distribution to calculate CVaR/ES

I'm trying to do a portfolio optimization with an expected shortfall constraint. For this, it is necessary to know the distribution of expected portfolio returns. When doing this empirically, my plan ...
2
votes
2answers
176 views

Comparing Cash Equivalent of risky portfolios

To compare two risky portfolios, Mean-Variance (M-V) portfolios for example, many compare their Cash Equivalent ($CE$). $CE$ is defined as the amount of cash that provides the same utility as the ...
6
votes
4answers
511 views

How to cluster ETFs to reduce cardinality for portfolio selection

I'm looking to run portfolio optimizations using various optimization goals - e.g. minimum variance, max diversification etc. My challenge is if I want to do this on ETF's which ones do I pick to run ...
3
votes
2answers
1k views

How to define the objective function for a custom optimization problem?

I would like to find the allocations that would minimize some user-defined metric (Sortino, minimum drawdown, etc) for a portfolio of assets. How would one go about formulating the objective ...
5
votes
3answers
536 views

Strategy Risk and Portfolio Allocation Model (copy from nuclear phynance)

Here is a very interesting question that I found at Nuclear Phynance (original author: Strange); I though it is so interesting that it is worthwhile to ask it here: I have $N$ strategies, across a ...
4
votes
1answer
653 views

Risk-Parity Portfolio Optimization using Extreme Optimization in C#

I'm trying to create a risk-parity portfolio in C# using the Extreme Optimization routines. I'm mostly trying them out to see if I like them or not before I buy them (I'm a student so money is ...
-3
votes
1answer
138 views

Methods for distributing cash into allocation

Are there any methods/techniques that cover distributing cash into a specific percent of a portfolio asset class while gaining the best average price? As a simple example, a portfolio starts with ...
2
votes
2answers
153 views

Proxy for risk in portfolio theory when return can take only two values

I'm trying to adapt tools from portfolio theory for another use, and I have a question about how I might do so. Suppose that instead of having normally distributed returns, the return $R_i$ is ...
5
votes
4answers
601 views

How to optimize a portfolio under *both* maximum diversity ratio and minimum variance

I have a follow-on question to questions that appeared here and was not sure if the right way was to ask in the comments or post a new question. My question is: how can I optimize a portfolio to suit ...
2
votes
1answer
535 views

Reduce correlation in output of Minimum Variance Portfolio Optimization

After running a minimum variance portfolio optimization on a universe of ETF's I see the resulting portfolios tend to be composed of bond ETF or related treasuries/government ETFs. I suppose that ...
5
votes
1answer
955 views

Optimizing a portfolio of ETFs

I am aware of how to do mean-variance or minimum-variance portfolio optimization with constraints like weights must add to 1.0 no short sells max weight in any ticker using basic quadratic ...
7
votes
2answers
1k views

How to apply risk-parity portfolio construction to a dollar-neutral portfolio?

Long-only risk-parity portfolios have proliferated in recent years. An optimized long-only risk-parity portfolio requires that the asset weight * marginal contribution to risk of the asset is ...
5
votes
2answers
261 views

Which ETFs should I use to test my portfolio selection algorithm?

I have a portfolio selection algorithm I want to backtest, but I don't want to limit the inputs at any point in time. For example, I don't want to exclude the Japanese stock market, just because it ...
10
votes
3answers
783 views

Where can I find a database of ALL ETFs, sorted by age?

I have a portfolio allocation strategy I want to backtest, but I need a large "universe" of ETFs for it to choose from at each time period. I was thinking of starting with a criteria such as "all ...
14
votes
1answer
898 views

Portfolio optimization with monte carlo sampling from predictive distribution

Let's say we have a predictive distribution of expected returns for N assets. The distribution is not normal. We can interpret the dispersion in the distribution as reflection of our uncertainty (or ...
9
votes
1answer
848 views

What are the advantages / disadvantages of the ANTICOR algorithm?

The algorithm is introduced in the paper, Can We Learn to Beat the Best Stock. The obvious advantage is superior risk-adjusted returns (if you can actually achieve them). Transaction costs and ...
4
votes
4answers
934 views

How can I select the least correlated portfolio of assets?

Can anyone explain the process and the calculations needed to select a portfolio of liquid futures assets with the least correlation? Given a set of returns for a series of assets, how do I select the ...