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Questions tagged [black-litterman]

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Implied Equilibrium Returns Example

I've been trying to work through a simple example using A Step-by-Step Guide to the Black Litterman Model, but I'm having trouble understanding implied risk aversion. Say I have two uncorrelated ...
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Black Litterman - numerical instability

I am trying to work out the formula for the posterior mean in Black Litterman's model assuming 100% confidence : Ref: https://corporate.morningstar.com/ib/documents/MethodologyDocuments/IBBAssociates/...
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Struggling with tau in Black-Litterman

According to the omega formula in B-L tau is used in the Omega estimation to determine the degree of uncertainty given to views of the investor: So, if tau is given a low value then the inverse of ...
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References for Risk Adjusted Portfolio Optimization

I'm trying to formulate BL portfolios which use Mean VaR, Mean CVaR optimization to calculate risk-adjusted equilibrium returns. Can someone point me to any references on this topic? I'm looking for ...
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Imposing qualitative views in Black -Litterman model

I'm trying to construct a ETF portfolio with various asset classes using Black Litterman model. To impose views, I'm considering only qualitative views like {strong bearish, bearish, bullish, strong ...
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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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Some clarifications about Black Litterman Model

Hello guys hope you're doing fine. I'm new to the Black Litterman model, and I'm working on a real case for the Moroccan stocks. The thing is I read multiple articles but I still have some ...
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1answer
86 views

Can Black-Litterman-type expected return estimation be used for regional ETFs?

The Black-Litterman approach to return estimation overcomes the problems associated with estimating expected returns via historical averages by determining the equilibrium returns implied by the ...
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355 views

Help with black-litterman model implementation on Excel

I'm building a template Black-Litterman model that can be reused to solve for a global market portfolio. Notes: I'm using Excel and am using index/benchmarks provided by Thomson Reuters. I've used ...
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186 views

black litterman for rebalancing

I've noticed in my backtests that "shrinking" the expected returns vector towards zero tends to improve the performance. This has led me to investigate shrinkage methods for the forecasts/expected ...
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414 views

Implementing Black Litterman in Matlab - How to calculate 'views' based on variance of historic forecast errors

I am trying to implement the Black Litterman model below in matlab. The codes were retrieved from www.blacklitterman.org. I will like to find out how to calculate views based on the methodology given ...
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1answer
420 views

CVXPY 's constrains doesn't work

I am trying to implement a max return optimization with a large number of assets. I am not sure why this problem won't work. ...
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1answer
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How to generate the views in Black-Litterman model?

I want to apply a Black-Litterman approach for portfolio optimization. My question is how to select investor views? I need to base the choice on a model. I would be thankful if you could give me some ...
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Black Litterman with strongly skewed/leptokurtic variables

I am trying to apply a BL-like model to a random variable which is strongly skewed and leptokurtic. The random variable is actually the change through time of GARCH conditional variance $\sigma_{t+1}^...
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1answer
141 views

Can I formulate a general relative view in Black-Litterman?

We have often discussed the Black-Litterman approach/model in the forum. What I was wondering is: is it possible to formulate relative views in the model. Relative in the sense $$ \mu_1 > \mu_2 $$ ...
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Black Litterman: Is it possible to have multiple views (from different sources) on the same asset?

From the basics of Black Litterman I understand that each view on a stock is implemented via the pick matrix P with the expected value of the views in Q. I have read several papers where each stock ...
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2answers
584 views

Is it possible to deal with non-normal distribution in Black-Litterman model?

Suppose that I know that the normality assumption about my data is unrealistic (as it is very frequently): is it possible to apply any distribution that I judge the right one to the Black-Litterman ...
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1answer
179 views

Systematic Views in Black-Litterman?

Are there any literature on selecting systematic views for Black-Litterman along with methods to specify the uncertainty parameter? For example, rather than specifying a portfolio manager's subective ...
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Black-Litterman: Why should the views be independent of each other?

This question relates to this question. In the Black-Litterman framework views of inverstors on the market are modelled. These views have a covariance-matrix $\Omega$. I always found it quite ...
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Black-Litterman, how to choose the uncertainty in the views $\Omega$ for smooth transitions form prior to posterior

In Black-Litterman we get a new vector of expected returns of the form: \begin{align} \Pi_{BL} = \Pi + \underbrace{\tau \Sigma P^T[P\tau\Sigma P^T+\Omega]^{-1}}_{\text{correction}}[Q-P\Pi] \end{align} ...
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Black-Litterman with simple portfolio

In an attempt to learn Black-Litterman I have come across this "simple" example. Suppose that you analyze market data using CAPM $$r_i-r_f=\beta_i(r_m-r_f)+\epsilon_i$$ Suppose there are 2 assets in ...
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1answer
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Is an arbitrary prior for Black-Litterman valid? Or do we need a market implied one?

I went through The Black-Litterman Approach: Original Model and Extensions - see also. The BL approeach starts with a prior on the expected returns vector derived from the hypothesis that the market ...
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What is the tau parameter in the Black-Litterman model?

Could someone please provide me with a clear and concise definition of the $\tau$ parameter in the Black-Litterman model? It seems one is rather hard to come by. I understand it to be the 'weight on ...
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Market weights for Black-Litterman

I'm trying to implement Black-Litterman for an arbitrary selection of assets. One of the input for BL is the "Equilibrium market capitalization weights for each asset". In most examples I've seen, ...