# Questions tagged [portfolio-selection]

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857 views

### market neutral weights and cash values

I am looking at a market neutral portfolio and have a question which I think is probably pretty simple. So I can see the individual stock weights. ...
186 views

### Sharpe Ratio for loans

I am trying to calculate the sharpe ratio for a set of loans. These loans have already matured and I know if they were good or not: grades are the different grades of the loans. interest rate is the ...
4k views

### Handling Missing values in stocks returns when estimating the co variance matrix

What is the best way to handle missing values when stocks did not exist for the entire historical period?.
452 views

### Create optimal portfolio by Treynor and Jensens Alpha

I would like to know which formula to use in order to optimize a portfolio based on highest Treynor and Jensens Alpha. I am aware that usually one optimize a portfolio by highest Sharpe ratio (the ...
89 views

### Making portfolios better than others for a 16 week portfolio game? [closed]

I'm going to participate in a game of making portfolios. The objective of the game is to make the portfolio with the bigger ROI over 16 weeks. Over each week every player can see the ROI of each ...
708 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 ...
1k 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 in ...
457 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 ...
110 views

### Optimize an equity portfolio for the four central moments: 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 ...
777 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 ...
249 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 ...
2k 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 ...
6k 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 ...
2k 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 ...
2k 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 tight)....
164 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 ...
567 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 ...
1k 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 ...
746 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 ...
2k 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 ...
3k 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 ...
455 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 ...
3k 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 ...
3k 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 ...
1k views

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 ...
3k 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 ...