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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1answer
56 views

What does the concept “standard Markowitz approach” include?

Does "standard Markowitz approach" include only mean-variance approach or does it also include other approach such as minimum-variance approach?
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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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323 views

Is there a way to figure out “hot” strategies?

Apparently, short vol strategies have gotten crowded, according to the recent Bloomberg piece. When I read this, I thought how about factor based strategies -- value, growth, etc.? Aren't they ...
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36 views

How long a time horizon should be for verifying the effectiveness of an investment strategy?

Question To verify the effectiveness of a certain asset allocation strategy, how long a time horizon should be? Is there any academic paper regarding this topic? Question in more detial I know ...
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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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2answers
108 views

Multi-period portfolio allocation: Time-inconsistent approach

Consider a multi-period mean-variance portfolio optimization so that at time $t$ I find the strategy that maximizes my expected terminal wealth $X_T$, subject to a constraint on risk, \begin{align*} \...
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17k views

How to construct a Risk-Parity portfolio?

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 then be ...
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1answer
115 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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2k views

Why is Markowitz portfolio optimisation so popular considering it is worse than an equal weighted portfolio?

The original paper by Markowitz from the '60s has ~20,000 citations (definitely popular). However several papers I came across show that a $\frac{1}{n}$ asset allocation gives higher Sharpe ratios (...
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229 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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108 views

Optimal investment mix of equity and debt in a single company, HY vs IG

What is the optimal mix of equity and debt that an investor should invest in a single company? If an investor invests in both the debt and equity of a company, they are in effect de-levering the ...
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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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1answer
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Stress Testing approaches at Pension Funds/Asset Management companies

I am looking for resources on Stress Testing for non-banking institution, specifically for long term oriented Asset Management companies, Hedge Funds, Pension Funds, and other Investment companies. ...
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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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Cross-Sectional Multi-Index Model

I'm unsure how to find the covariance matrix in part (b) and what the residual deviations are. Any tips on how to tackle this?
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2answers
987 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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Reference Request: Horse Race for Portfolio Allocation

Probably the most popular horse race study for portfolio strategies is Optimal versus Naive Diversification: How Inefficient Is the 1/N Portfolio Strategy?, with DeMiguel, L. Garlappi and R. Uppal. ...
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440 views

Calculate asset allocation given “long and short” optimized portfolio weights

If the amount of capital that has to be allocated for each asset given the "long only" optimized portfolio weights is: ...
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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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3answers
222 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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1answer
120 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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2k 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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865 views

Monte Carlo based mean variance optimization

I was asked this question in an interview some years ago. It struck me as a poorly formed question. I thought I would put it out there to the community to see if I just simply missed something. ...
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1answer
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Calculating alpha and its meaning

According to wikipedia, CAPM model is described by: $E(R_{i})=R_{f}+\beta _{{i}}(E(R_{m})-R_{f})$ And according to website such as http://investexcel.net/jensens-alpha-excel/, $\alpha = E(R_{i}) - ...
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Dynamic asset allocation strategies using a stochastic dynamic programming approach

I am currently reading Gerd Infanger's Chapter 5 on "Dynamic asset allocation strategies using a stochastic dynamic programming approach" in the Handbook of Asset and Liability Management edited by S....
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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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111 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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189 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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436 views

Risk Parity / Equal Risk Contribution with Tail Risk Measures

Risk Parity or (synonymous) Equal Risk Contribution is an approach to portfolio construction which could work in theory with a broad class of risk measures. Yet, all references I have found so far ...
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1answer
304 views

Ledoit Wolf shrinkage with constant correlation prior with tawny and Riskporfolios

I am trying to use R to perform the shrinkage of covariance matrix towards constant correlation as defined in 'Honey, I Shrunk the Sample Covariance Matrix'. I see there are two packages where this ...
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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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229 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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2answers
586 views

Does CAPM hold for markets with two risky assets?

Presentations of the CAPM often include statements similar to this: While idiosyncratic risk can be "diversified away", systematic risk cannot, which is also expressed in the CAPM, which states ...
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Optimization: Factor model versus asset-by-asset model

In portfolio management one often has to solve problems of the quadratic form $$ w^T \Sigma w + w^T c \rightarrow \min_{\omega} $$ with portfolio weights $w \in \mathbb{R}^N$ a constant $c \in \mathbb{...
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193 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 ...
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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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1answer
155 views

In practice, how do pension plans determine their risk appetite?

While I understand DB pension plans tend to use an ALM and surplus management framework to determine their asset allocation and risk/return objectives, I am wondering how in practice they determine ...
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498 views

What is smart beta, alternative index, factor investing?

What is smart beta, alternative index, factor investing? Are they basically the same thing? Construct a benchmark index using schema other than market cap?
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1k views

Equivalent to Matlab's financial toolbox in python?

I've been working on making an asset allocation model that requires I price a lot of financial instruments (i.e. bonds, options) and optimize based on a certain constraint. I was originally doing this ...
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2k 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 ...
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1answer
542 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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What ultimately determines trading costs?

In equity markets, there are obvious transaction fees such as brokerage, commission fees etc. But if I wanted to do a more in-depth analysis of the determinants of transaction costs, what would be ...
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2answers
538 views

Is mathematical finance relevant in asset managament?

I was hoping to consult on the relevance on the relevance of mathematical finance in the asset management business. Traditionally, mathematical finance focuses more on topics related to stochastic ...
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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
998 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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556 views

How can I simulate portfolio risk (diversification) with a 'Wheel of Fortune' like investment options/returns?

Say I have 6 possible investment options with the following probability of success and the corresponding returns: ...
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1answer
129 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
365 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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561 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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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