The professional management of an investment portfolio of various securities (shares, bonds and other securities) in order to meet specified investment goals. The process includes the specification of investment objectives and constraints, choice of asset mix, formulation of portfolio strategy, ...

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4
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0answers
274 views

Optimization: Factor model versus asset-by-asset model

In portfolio management one often has to solve problems of the quadratic form $$ w^T \Sigma w + w^T c \rightarrow Min $$ with portfolio weights $w \in \mathbb{R}^N$ a constant $c \in \mathbb{R}^N$ and ...
16
votes
2answers
827 views

Diversification, Rebalancing and Different Means

I have found many financial authors making generalizations about GM and AM but they are wrong in certain circumstances. Could someone explain their reasoning? My fact why they are wrong is based ...
1
vote
0answers
63 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 ...
4
votes
1answer
104 views

tail correlation during crisis

I am seeking a recommendation for an empirical paper on increased correlations of returns during the 2008 financial crisis, or 'tail correlation' during the crisis, if that is different, or whatever ...
3
votes
1answer
231 views

What is the correct Stutzer index and Sharpe ratio relation, assuming a normal returns distribution?

Assuming the returns distribution is normal, then there is a relation between Stutzer index and Sharpe ratio. However, I found in the following paper 2 different equation: Paper I (page 10-11)‎ ...
2
votes
1answer
375 views

In Mean-Variance Analysis, why not the efficient frontier being pushed to the left near the axis?

I took some classes in portfolio theory, and learnt the Markowitz Mean-Variance Analysis. If only two risky assets, the efficient frontier would be a hyperbola passing through the two points; now if ...
4
votes
2answers
466 views

Average correlation of index/portfolio

We try to analyze the average correlation of a portfolio as it can be found here in section 2 b), the same formula which is also used by the CBOE to calculate implied correlations: $$ \rho_{av(2)} = ...
2
votes
0answers
147 views

Portfolio optimization with absolute position constraints

I'm looking to optimize a portfolio maximizing expected return for a particular risk budget, but with absolute constraints on the individual instrument positions. I've been experimenting with QP, ...
4
votes
0answers
556 views

Testing Valuation, Size and Momentum (proprietary factors) from 1988-2013: No evidence of driving cross-sectional returns

I am currently testing whether three proprietary factors - Valuation, Size and Momentum - explain cross-sectional returns. A sample of 3000 securities was tested using Fama-MacBeth two-pass ...
0
votes
1answer
356 views

How to compute a sector's volatility within a portfolio?

Assume I have a large portfolio of equities spread across three sectors. I am attempting to compute the volatility of these sectors within the portfolio considering the cross correlations among the ...
0
votes
1answer
116 views

What is the smart way to reallocate money?

We are running a portfolio of fund managers in our fund. When one of the managers hits the max DD constraint we pull money from this manager. This may happen in the middle of the allocation period and ...
2
votes
1answer
281 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 ...
6
votes
2answers
1k views

Comparing MVO with Resampled Efficient Frontier

My question: How can I compare the Resampled Frontier (REF) to the standard MVO frontier when I have been provided with $\mu$, $\Omega$, and don't have access to true future data to test real out of ...
0
votes
1answer
880 views

How to adjust local currency returns to US$/EUR return?

Iam doing research on return characteristics. As of today the scope of the research has changed from a local investor point of view to an international investor point of view. This basically means ...
3
votes
1answer
203 views

Desired portfolio volume

I am working on a toy model, in part of which an investor has to decide (based on some utility theory) how much money to invest in a given portfolio. For simplicity, assume that the portfolio is ...
2
votes
2answers
1k views

Calculating Geometric mean

I need to annualize daily returns for about 120 firms for over a period of 10 years. I chose to calculate the geometric return because 1) it is the actual return 2) to avoid the asymmetric effect of ...
2
votes
0answers
613 views

How to correctly construct a value- and equally weighted portfolio consisting of property-types?

A problem of which I couldn’t find the answer on the forum is about the construction of equally-weighted and value-weighted portfolio. I want to compute the equally-weighted property-type portfolio ...
2
votes
2answers
216 views

Portfolio risk-return when assets have limited and inconsistent historical data / time series?

Lets say we have "today's" snapshot of asset allocation and need to determine the 6mo, 1 yr and 5 yr risk and returns of this portfolio. If the time series for every asset is very long, longer than ...
1
vote
1answer
126 views

Find a paper about portfolio management

Where to find the following paper of the noble prize Paul Samuelson (2003) “When and Why Mean-Variance Analysis Generically Fails,”. I was looking for it desperately on Google and Google Scholar but ...
7
votes
0answers
261 views

Optimization procedure for entropy pooling

I was wondering if those who used the entropy pooling code provided by Attilio Meucci had issues with the optimization procedure (especially regarding the fminunc function in Matlab). When I stress ...
2
votes
1answer
1k views

Modelling VIX Futures for risk management

I would like to model VIX futures. The aim is not pricing but risk management. Thus I want to get risk measures like volatility right and be able to accurately calculate correlations when the VIX ...
5
votes
1answer
950 views

Robust Bayesian portfolio optimization in matlab?

I am working through this paper. I want to implement the robust Bayesian optimization (see pages 6 onward) in Matlab using fmincon. Here is a brief overview of my problem: Let $\alpha$ be the ...
-4
votes
2answers
212 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, ...
3
votes
2answers
7k views

What do the terms in-sample and out-of-sample estimates mean in MVO?

How do the in-sample estimates and out-of-sample estimates I so often hear authors refer to in emperical analysis of MVO differ?
8
votes
2answers
703 views

Why do low standard deviation stocks tend to have superior future returns?

I've recently stumbled on something that really surprised me. These papers (1, 2) find that past standard deviation of returns is inversely related to future returns. That is, portfolio of low ...
4
votes
0answers
267 views

Analyzing the angle between vector of weights and vector of returns in mean-variance optimization

I am using the paper "A Sharper Angle on Optimization" by Golts and Jones (2009) as a basis for my (minor) masters thesis in mathematical finance. The paper focuses on the mean-variance analysis of ...
2
votes
3answers
597 views

Optimizing a currency only portfolio with negative weights

I am testing various optimization methods for a currency-only portfolio. I have a vector of expected returns for the major developed currencies vs. the USD each week (based on a proprietary model). I ...
2
votes
2answers
1k views

Determining portfolio risk return in R given historical data for individual holdings?

Currently we compute portfolio risk and return via our own C# program. Historical data is stored in a SQL database. We want to compute the risk and return parameters - given a portfolio (i.e. not ...
6
votes
3answers
406 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 ...
10
votes
3answers
232 views

Does entropy pooling apply to distributions with time-varying drift?

I have a returns process that is drawn from a normal distribution with a nonlinear time-varying drift, so I was wondering if the entropy pooling method still applies or if I need an invariant ?
6
votes
1answer
2k 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 ...
1
vote
1answer
175 views

Expected length and depth of drawdown

Does anyone know of any model to estimate the distribution of drawdown length and depth assuming a certain portfolio dynamics? The arcsine law seems to suggest that a portfolio can spend a large ...
2
votes
1answer
705 views

Using alpha to evaluate trading strategy

I have a trading strategy that generates returns $R_{t}$. I want to test the strategy by looking at the alpha: $R_t - R_{f,t} = \alpha + \beta (R_{m,t} - R_{f,t}) + e_t$ I compare my alpha against ...
4
votes
3answers
615 views

Calculating the right portfolio(position size for each leg) in a Long/Short Strategy

For a Long/Short Strategy, I have two stocks with different volatilities. How can I calculate the right position size for each leg? *The pair trading is not coming from co-integration but more as a ...
1
vote
1answer
249 views

Minimum variance hedge with more than one asset

My portfolio comprises of 3 assets A,B,C that are correlated and the variance-covariance structure is known. At any given point in time, my position in Asset A say is given to me. I need to ...
2
votes
2answers
494 views

constructing a minimum variance portfolio

Assume a US-based company has sold something to a Norwegian company. It will receive 1M Norwegian Kroner in two months, and would like to hedge this future cash flow against currency exchange risk. ...
4
votes
1answer
1k views

Michaud's Resampled Efficient Frontier - Out of Sample Simulation Testing

I will be putting ALL my account points on bounty to whoever answers this question [if your answer is crap but it's the only answer, you're getting the 165 points]. You will have to wait 2 days or so ...
1
vote
1answer
168 views

Resampled efficient frontier length of simulation

I was provided with a VBA program from my lecturer that applies the resampled efficient frontier. We have an investment horizon $T$ (6 years) and he uses a multivariate normal distribution with ...
1
vote
1answer
528 views

Does amortization of bond start accumulating on trade date or settlement date?

I am sorry if this is not appropriate here. We are building a wealth management system and I really would like to know whether amortization of bond start accumulating on trade date or settlement date ...
4
votes
1answer
815 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 ...
1
vote
2answers
1k views

Multi asset option portfolio risk management (greeks and FX exposure)

I am running an options book containing listed options across multiple products. I trade mostly equity and index related options - with a preference for European expiration products. I trade products ...
6
votes
1answer
692 views

How to run an asset replication regression?

I am doing extensive research on portfolio replication and was hoping to get some help with some problems I am encountering. I am running a regression between 2 assets that I believe replicate ...
0
votes
0answers
164 views

Looking for FpML best practices

We want start using FpML within our organisation; where message will be sent using FpML. What are best practices to do this ? If anyone who have used Tools as well as; i want to use FpML for ...
3
votes
3answers
366 views

What is the case for active management?

A recent personal finance question asks when to hire an investment professional? Given that many of us here are on the professional manager side of the business, how would you make the case? What ...
-3
votes
1answer
142 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 ...
1
vote
1answer
2k views

Calculating portfolio allocation beta with different asset classes?

I'd like to calculate portfolio allocation beta on a portfolio that has different asset classes. The portfolio may be made up of: ...
3
votes
3answers
1k views

What are the limits of bond portfolio immunization against interest rate changes?

I'm currently reading through an article on bond portfolio immunization against changes in the interest rate. I learned that the immunization can be done against instant changes in interest rate ...
2
votes
0answers
115 views

How to Quantify Headwinds

What are some of the best ways to effectively measure headwinds for an open ended fund? Headwinds in this case refers to the amount of volatility contributed by a factor or a set of factors to a ...
-3
votes
1answer
487 views

Trading Strategies and Portfolio Constructions based on Cross Sectional Regression? [closed]

I often see trading strategies and portfolio construction that are based on cross-sectional regression. For example, I often see regressing some numbers against some factors. I was wondering how ...
3
votes
0answers
375 views

Is there a standard method of scaling alpha forecasts to t-cost estimates?

Given a set of monthly alpha forecasts (i.e. standardized z-scores from a multi-factor return model) and a non-linear market impact model (or more specifically, its piecewise-linear approximation), is ...