Questions tagged [asset-allocation]

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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633 views

Modelling log-returns and calculating the portfolio return

I know this might be a trivial question, however, I would be grateful for some clarification. I am working on weekly log-return data, doing volatility-foracasting using GARCH models and then using ...
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147 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
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243 views

Portfolio optimisation by asset allocation

I would like to optimize a portfolio allocation (maximizing the exposure or the expected return), but with asset constraints. (some parts of my portfolio cannot exceed a certain minimum or maximum). ...
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2k views

Implementing leveraged Risk Parity Portfolio using Direxion 3X ETF

The "common man" version of a leveraged Risk Parity portolio (40% stocks and 60% long term bond, Quarterly Rebalanced) can now be easily implemented using the 3X leveraged ETF's (UPRO=stocks, TMF=...
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195 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 ...
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1answer
97 views

Kelly Criterion in correlated stocks

I would like to ask if there exist any mathematical proof or model which addresses how the Kelly criterion can be applied to find portfolio weights when the stocks are correlated.
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1answer
121 views

How to calculate Information Ratio?

In the book titled "Active Portfolio Management: A Quantitative Approach for Producing Superior Returns and Controlling Risk" by Grinold & Kahn, the information ratio is defined as "the ratio of ...
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1answer
641 views

Minimize overall portfolio turnover under constraints

Assume I have M portfolios, each of them can be represented as a T by N matrix, where N represents number of stocks traded and T represents number of days. For each portfolio matrix, each row is under ...
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1answer
49 views

Trading Ranges for Tactical Asset Allocation

Do methods exist to determine trading ranges around benchmark weights/strategic asset allocation weights for a tactical asset allocation from the correlation structure between the individual asset ...
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1answer
452 views

How can I set portfolio weights inverse to volatility, with constraints and target volatility, using nonlinear optimization?

There are multiple sources that describe using a nonlinear optimization to risk budget a portfolio, with a portfolio target volatility. For example, see pages 16 and 17 of https://papers.ssrn.com/sol3/...
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1answer
304 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 \...
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92 views

Residual Risk and Variance

I've solved part a, but am struggling with b and c. $x_m$ is the market portfolio vector, and I think $T$ should be a diagonal matrix. Any hints greatly appreciated!
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120 views

Black-Litterman proof with P=I and Omega=tau*Sigma

Elsewhere on this site (link), Richard notes that \begin{equation} \Pi_{BL} = \frac{1}{2} \Pi + \frac{1}{2}Q, \end{equation} so long as we set $ P = I $ (where $I$ is the identity matrix) and $\Omega ...
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Looking for: List of 30 top-performing value investors in the US (AUM 100USD mn+; 10 years)

we are currently looking to build another database sourced by crawling the SEC (freely available at SimFin). Our goal is to build a monthly updating database showing the holdings of the top value-...
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666 views

backtest asset allocation strategies

I've searched the site but haven't found an easy way to backtest my personal portfolio allocations. Suppose I want to know the total return for the following portfolio from Jan 1, 2009 to Dec 31, 2014:...
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155 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 ...
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1answer
60 views

Difference between Money management / Asset allocation / Portfolio optimisation

maybe an ill-posed question, please advise 🙂 What is the difference between the 3 concepts? They all seem about optimising some risk/reward ratio... money management asset allocation portfolio ...
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1answer
189 views

Asset Liability Management Test Topic Interpretation

I will write a test based on Excel and one of the topics is "The Asset Liability related analysis: including the input assumptions generation, constraints, portfolio optimization analysis and results ...
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1answer
601 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 ...
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1answer
127 views

Portfolio/sub-portfolio optimization

I have a finite amount of 26 assets, the total amount of these assets needs to be allocated to 9 portfolios. Each portfolio has its own required return which needs to be met, using a min-variance ...
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1answer
94 views

Understanding portfolio weights and purchasing stock in modern portfolio theory

Recently I've been learning about the markowitz algorithm. It's pretty interesting, but I'm curious how we apply this in practice. Lets say I have some optimal portfolio: $R_p = x_aR_a + x_bR_b$ ...
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1answer
295 views

Expanding window vs Rolling window z-score

I wish to find the z-score of a value measure( e/g P/E ratio) to compare them across asset classes, currently i am using an expanding window z-score to calculate the long-term mean and standard ...
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1answer
141 views

MPT Efficient portfolio /Asset allocation

When finding the optimal allocation using markovitz, the model will return '0' weights for assets that are "inefficient". What is the standard way for dealing with these weights if all assets have to ...
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1answer
133 views

Simple simulation model of bond plus cash returns

Is there a robust way to model 'bond plus cash' simulated returns, say in Excel, for an asset allocation problem between stocks vs bond plus cash? For equity, ...
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1answer
460 views

How to answer this interview programming question about drawdowns?

I saw this question as an interview, and to be honest, I have no idea what it's even asking for: Write a function (in R or Python) that finds the stock drawdown which will trigger a rebalance, if ...
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1answer
214 views

bootstrap asset allocation

I want to ask if the bootstrap method for asset allocation is preferable. For instance, suppose that we have data for the past returns for two stocks. Is it wise to generate the efficient frontierby ...
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1answer
313 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 ...
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32 views

Equivalent constructions of risk budgeted portfolios?

When building an ERC portfolio given covariance $S$, I am familiar with the approach in optimalPortfolio. It takes the risks of a given weight vector $(w_i * (S w)_i)$, divides it by total risk to get ...
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41 views

Crisis in in-sample period

I am backtesting a value momentum asset allocation strategy and my in sample period is from 2003 to 2011 and out sample from 2012 to 2019. I am optimising a cutoff for value on in sample to allocate ...
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Reference request: Terminal wealth distribution including deterministic contribution

I'm looking into some classical utility maximization problems. In particular, I'm interested in looking at the wealth evolution where you invest your money across $n$ assets and each time period you ...
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263 views

Problems with Black-Litterman: negative portfolio weights, and very poor returns

I am trying to implement the Black-Litterman model using own-defined views matrix (from consensus analysts). However, I have encountered the problems of negative portfolio weights in some periods, and ...
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288 views

Mean Variance Optimization of 2000 pairs of securities (Python)

I would like to take the opportunity to ask for your help on an assignment I'm trying to complete. For this 'Modern Robo Advisory' course we are asked to solve a (target) goal-based investment ...
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56 views

Is the 'constant weight in the risky asset' portfolio-strategy self-financing?

My question concerns a topic in quantitative finance that I feel is often brushed under the table: is a given strategy self-financing. We have two assets, one risky and one riskless, defined by the ...
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36 views

Target date funds - glide path quantitative foundations?

Are there any introductions that show an academic proof or quantitative process for determining the proper asset allocations for a glide-path in a target date fund? I've been trying to find something ...
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1answer
1k views

PortfolioAnalytics [R] - optimize.portfolio.rebalancing error

New to using PortfolioAnalytics (and fairly new to R in general) and am encountering an error when running optimize.portfolio.rebalance -- see below: Error in ...
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325 views

Asset allocation and GARCH models

I am trying to solve an asset allocation problem and I am having some troubles grasping the concept. I am working with excess returns on 4 stock indices and I am obtaining the excess returns forecasts ...
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2answers
628 views

Asset allocation problem using Hidden Markov Model

I am recently getting more interested in Hidden Markov Models (HMM) and its application on financial assets to understand their behavior. But what captured my attention the most is the use of asset ...
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2answers
759 views

Compute allocation given long-short portfolio weights

The amount of capital allocated in each asset given long only weights is calculated as $allocation_i \ = K\cdot w_i$. ...
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2answers
36 views

Calculating the allocation of a fund given two correlated variables

Imagine this hypothetical situation: I have a time series of cumulative performance of a fund and two time series of equities that are highly correlated to them. I know that that this fund ONLY ...
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1answer
51 views

Highest asset allocation contribution to the fund’s performance

I am preparing for 2020 May FRM II test and will appreciate any explanation for this question: In terms of asset allocation contribution, why is real estate made the highest asset allocation ...
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2answers
419 views

Strategic asset allocation research

I am currently trying to form an overall asset allocation strategy which combines base strategic allocation and tactical shifts. My model already incorporates the tactical shifts using various factors ...
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2answers
3k views

How to calculate “portfolio cumulative return” from individual price data and weight of them?

I'm trying to run backtest in a vectorized way using Python Pandas and need to calculate a portfolio cumulative return from price data and weight of asset data. I ...
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700 views

High values of skewness and kurtosis of realized protfolio returns

I am investigating some asset allocation strategies and I am wondering about the results I obtain. I am working on monthly and weekly data of the same stock indices (SP500, FTSE 100 etc). And when I ...
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1answer
48 views

Transaction Costs Measure ATOP: What does it mean and exactly measure?

I went through some presentations about LowVol strategies for some indices. In the presentations were tables with average returns, vola, Sharp ratio and ATOP. I have no clue what this ATOP is supposed ...
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1answer
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I have missing data on my portfolio weightings but it can be solved through stock prices - how can I code to find this? [closed]

firstly I would like to say sorry for the title - its not the best. In fact its crap. Here is my problem (I am new to coding btw - still learning) I am using Python on my MacBook - using Terminal. I ...
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1answer
129 views

Preference between low (zero) and negative correlation

I am trying to create an artificial score grading user's portfolio correlation. In terms of diversification, lower correlation is obviously better. However, should negative correlation get a higher ...
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1answer
52 views

Portfolio of Assets

The following represents a model for an economy. At time $t=0$, four assets have the value $X_1= £5$, $X_2=£5$, $X_3=£10$ and $X_4=£4$. Three possible states of the world exist ($\alpha_1$, $\...
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Portfolio Performance Attribution Using Carino Smoothing

I'm trying to conduct portfolio performance attribution using Carino smoothing, but it seems that the active returns do not match and I don't know why. Here is the example I use: \begin{array} {|r|r|r|...
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Decomposition of Contribution to Variance

$C$ is a $N\times N$ covariance matrix of stock returns. Assuming $w$ is a vector of positions in each asset, the total variance of the portfolio is $$w^TCw$$ The contribution to total variance of the ...
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Forecast dates and related actions

My question is quite general and is about the coherence between forecast horizon, then forecast dates, and related actions. As example we can keep in mind the asset allocation problem. It seems me ...