Tagged Questions

An investment strategy that attempts to balance risk versus reward by adjusting the percentage of each asset in an investment portfolio according to the investors risk tolerance, goals and investment time frame.

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3
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9answers
335 views

Why would there be a positive risk-free rate?

Most financial models include a risk-free rate or risk-free asset. Why should there be such thing as a positive risk-free rate? I dont see why an asset would provide a positive (real) return if it ...
-2
votes
1answer
51 views

Two assets with the same mean and standard deviation - Would there be any benefit? [closed]

If I have two assets in a portfolio with the same standard deviation and mean and the correlation between the assets is 0, theoretically could there be a situation where it would be beneficial to ...
-1
votes
1answer
56 views

Math basics of Equally-weighted Risk contributions

i'm writing my BA Thesis about "Equally-weighted Risk contributions". Can anyone recommend math books for further understanding of Risk contributions?
1
vote
0answers
52 views

Quantitative method to select tactical bands for asset allocation

Do you know a study with a methodology for selecting tactical bands (or the allowed deviation from a strategic asset allocation)? Thanks
1
vote
2answers
92 views

Controlling portfolio concentration

I'm working with a heterogenous basket of instruments (in volatility terms). Risk parity allocation seems to be useful for the portfolio( * 1/Volatility). However, there are times when the ...
1
vote
1answer
113 views

What's wrong with this asset growth simulation?

Sorry if this is too basic, but I have this spreadsheet that simulates asset growth of a portfolio under a given return and risk using MPT. Here is a plot of probability distribution of asset ...
1
vote
1answer
289 views

why banks shall keep short term gap position low?

I'm reading "Insights for Bank Directors" (http://www.stlouisfed.org/col/director/reference_view.htm), a good introduction to commercial banks, based on a virtual bank "Insight". It talks about Gap ...
1
vote
1answer
253 views

Volatility Estimation

Let say I ran two strategies and got its weights at each rebalance and equity curves. I would like to combine these systems to get the performance if I were to trade them concurrently from a portfolio ...
-4
votes
2answers
191 views

How to use mean-variance weights in practice (when going short is allowed)? [closed]

I have calculated my optimal portfolio weights following the mean-variance framework where I go $w_1$ in the risky asset and $1-w_1$ in the risk free rate. I get the following result: $w_1$ = 1.5, ...
2
votes
1answer
173 views

How to enumerate all the possible portfolios with a given target volatility?

Let's say I have $n$ assets and their returns are stored in a matrix $X \in \mathbb{R}^{m \times n}$ (i.e. I have $m$ returns for each of them. The covariance matrix of the returns is $\Sigma \in ...
6
votes
3answers
264 views

What is the canonical reference for Minimum Variance Portfolio's uniqueness?

I am writing a white paper in which I am trying to compare a strategy to different well-known - and classic - asset allocation optimization approaches. One of the methods I chose is the minimum ...
3
votes
1answer
176 views

Whare are the common Global Asset Allocation indices?

I would like to make a comparison between some multi asset class strategies and some kind of benchmark. In this situation, the classic benchmarks like MSCI World (for Equitites), GSCI (for ...
1
vote
1answer
615 views

How to compute portfolio weights from multivariate regression results?

Assuming that I performed a multivariate regression and I found a set of $k$ coefficients $\alpha_1, ..., \alpha_k$ for each of the factors $F_1, ... F_k$. I have then computed the following ...
8
votes
5answers
2k views

Why is the Drawdown measure not used for portfolio optimization?

I was asked yesterday by a colleague why we are doing asset allocation using optimizers which target, for a minimum expected return: the portfolio with the minimum variance or the portfolio with ...
6
votes
1answer
1k views

How can I use Entropy-pooling of Atillio Meucci to constuct a portfolio?

I am trying to get my hands on Entropy Pooling which was introduced by Meucci in this paper. As an example, assume I want to construct a portfolio with five stocks and I have my view on CVaR. How ...
3
votes
2answers
261 views

MPT: Adding constraint on minimum asset weight

I'm new to finance in general, and recently read about Modern Portfolio Theory. Now I'm wondering how to add the following constraint on asset weights: Each asset weight $w_i$ should either be $w_i ...
6
votes
3answers
231 views

How to measure investors' “experienced” volatility?

In asset allocation, you usually send reports to your clients where you will report the volatility of its portfolio. Assuming you only have monthly returns, you will compute volatility over a ...
5
votes
2answers
210 views

How many data points are required to perform a fitting of GPD?

A friend of mine told me that their firm is using Extreme Value Theory (EVT) to compute value of the Expected Shortfall 99% of a portfolio for their asset allocation process. To do so, they try to fit ...
2
votes
2answers
3k views

Risk Parity portfolio construction

If I would like to construct a fully invested long only portfolio with two asset classes (Bonds $B$ and Stocks $S$) based on the concept of 'risk parity' the weights $W$ of my portfolio would be the ...
7
votes
3answers
296 views

age-sensitive correlation measurements in finances

When it comes to comparing returns or prices of instruments like stocks/ETFs, are there any well-established formulas, or ones in common use, that place stronger emphasis on recent correlations more ...
2
votes
3answers
655 views

Can I perform an asset allocation optimization if assets are perfectly uncorrelated?

(Here is a link to the original post) I received this interesting problem from a friend today: Assume that you are a portfolio manager with $10 million to allocate to hedge funds. The due diligence ...
10
votes
5answers
847 views

How can higher co-moments be applied to portfolio optimization in an asset allocation context?

Traditional portfolio optimization involves mean variance optimization, where only the mean and covariance matrix of returns are estimated. What asset allocation and portfolio optimization techniques ...
11
votes
3answers
2k views

Why do expected return models and risk models use different factors?

This is a question responding to weekly topic challenge. I happen to see an interesting question from SYMMYS by Michael Kapler. I always approached expected return and risk modeling as separate ...
20
votes
3answers
2k views

How do you mix quantitative asset allocation with qualitative views?

Usually in asset allocation you have a quantitative approach (which can be from example mean-variance), but you (or you and your firm) also have a more qualitative approach given market-conditions, ...
5
votes
1answer
143 views

Are there quantitative models which can guide one's choice of target risk?

Note: This question was written for the weekly topic challenge. Many asset allocation funds presume the investor knows his target risk level, typically on some spectrum from conservative (mostly G7 ...
5
votes
3answers
606 views

How do you remove expected returns from asset allocation strategies?

The classic mean-variance optimization problem tries to minimize variance of a portfolio for a given expected return: $$ \underset{w}{\arg \min} \quad w^T \Sigma w \quad \text{s.t} \quad \mu^Tw \geq ...
4
votes
3answers
989 views

What are some of the major quantitative approaches to tactical asset allocation?

Note: This question was written for the weekly topic challenge. Many of you who deal with asset allocation will probably already be familiar with Mebane Faber's Timing Model, based on one of SSRN's ...
3
votes
2answers
256 views

Which indices to use for an equity vs. fixed-income portfolio simulation?

I want to backtest several basic optimization methods (e.g. MVO, "most-diversified portfolio"), and I want to do this on a basket of different asset indexes. To start with, I want to simulate a 60/40 ...
4
votes
2answers
137 views

How do you handle short-term asset allocation with Hedge-Funds?

Assuming I want to run an optimization over a short period, say 2 years, I would decide to take daily values in order to compute the efficient frontier of a portfolio. That works fine as long as I ...
7
votes
2answers
432 views

How to shift amongst asset classes in response to relative value views?

I am designing an asset allocation strategy/fund which invests in four asset classes (via four independent sub-funds): Domestic equity International equity Domestic fixed income Foreign currencies ...
6
votes
3answers
386 views

Should the average investor hold commodities as part of a broadly diversified portfolio?

Many mutual funds sell "asset allocation" products which include appropriately sized investments in a variety of asset classes meant for a prototypical investor. Some of these, such as PIMCO, even ...
6
votes
2answers
204 views

Reference material about Quantified Asset Allocation?

I am looking for papers that would describe asset allocation with geometry, group theory, markov chains or things like that. Keeping asset allocation in a range is easy but to keep it more precisely ...