Questions tagged [portfolio-management]

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, selection of securities, execution, revision, and evaluation.

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6
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1answer
652 views

Rockafellar-Uryasev mean-CVaR optimiztion

In Rockafellar-Uryasev 2001 paper the mean-CVaR optimization can be written as a linear programming optimization problem as: $$P_{\text{CVaR}} = \arg \min_w \text{VaR}_\alpha+\frac{1}{(1-\beta)S}\...
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1answer
976 views

Marginal contribution to Tracking error

I'm trying to calculate Marginal contribution to Tracking error. I would use the following formula: MCTE(asset i)=TE(excess return asset i vs.benchmark)* Beta(excess return asset i vs. benchmark AND ...
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0answers
274 views

How to calculate Turnover Ratio of a scaled Portfolio

I want to calculate the Turnover of my scaled Momentumportfolio (Barroso und Santa-Clara 2015) They described Turnover Ratio with the following formula: While i understand the general concept (...
6
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1answer
204 views

Alternative relative performance measure to Sharpe ratio for non-IID return

The Sharpe ratio is often used to compare the relative performance of portfolios despite its IID-assumption for the returns being violated. I can find ample warnings about the consequences of ...
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0answers
84 views

When to remove a trading strategy?

Every strategy has a limited lifespan. How do you decide when to stop a particular strategy as it has lost its edge? Few of things that can be thought is strategy crossing its maximum drawdown, net ...
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2answers
799 views

Leveraged Permanent Portfolio Using ITM Call Options

The permanent portfolio proposed by Harry Browne has had an excellent track record since the 1970's. It is able to compound at roughly 8% annually with a Sharpe ratio around 0.7. The permanent ...
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1answer
100 views

Investor rationale behind inverted yield curve

I just had a question regarding investors/markets rationale behind the cause of the yield curve. Assuming that investors believe that rates will be lower in the future and are pessimistic about the ...
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0answers
43 views

Risk neutral valuation [closed]

In a world with three possible states (1, 2, 3) and three assets (A, B, C), the payoff matrix looks like this: $r_A;_1,_2,_3 = 110, 110, 110$ $p_A = 100$ $r_B;_1,_2,_3 = 100, 50, 40$ $p_B = 70$ $...
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55 views

Non-redundant asset?

I've been solving many exercises with three assets that have two possible payoffs each, one payoff per possible future state. The question is always the same, i.e. is any asset redundant. After ...
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0answers
48 views

No risk free security?

Imagine market without a risk free security. How is security market line constructed? How is it interpreted?
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1answer
266 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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3answers
2k views

Value at Risk - Long/Short position

I have a simple question on the VaR for a portfolio that consists of a long and short position. Say I have a portfolio consisting of the following positions: long 1000 shares of stock X short 1000 ...
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0answers
175 views

Problems with Performance Attribution Analysis

I am using the typical Brinson Model formula, but it doesn´t work, I think that is explained because of the compound effect and rebalancing... when I look my portfolio's YTD return and multiply by the ...
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1answer
250 views

Why is it better to use evolutionary algorithms than OLS for solving index tracking problem?

I am currently using different optimization algorithms for finding constrained portfolio that best replicate choosen index. So i have a optimization task to minimize tracking error. I wonder why every ...
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2answers
789 views

Absorption Ratio

I'm actually trying to implement Mark Kritzman's absorption ratio (Principal Components as a Measure of Systemic Risk by Kritzmam, Li, Page and Rigobon, 2010, SSRN 1633027) using Python, but I'm not ...
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1answer
143 views

Trading 3 stocks X Y Z where X cointegrated to Y, Y to Z, but no other cointegration is available

Suppose you have 3 stocks, say X Y Z. You also know that X is cointegrated to Y using some test (say ADF) and Y is cointegrated to Z. However, no transitivity, and no threesome cointegration ...
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0answers
36 views
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1answer
156 views

Naive question: how do factor models inform portfolio construction?

I have read plenty on the topic of factor modelling, but, in the end, after one has decided upon the factors to include in a model, how do all the Betas how tell one how to weigh each asset in a ...
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2answers
648 views

Max allowable return in Markowitz model

The Markowitz model solves the following problem: The portfolio with the smallest variance among attainable portfolios with expected return µV. Here we have to choose µV to get the optimal portfolio ...
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2answers
235 views

Geometric Sharpe ratio

I'm computing different metrics for mutual fund performance. I want to use classic Sharpe ratio, but I also got to know there is geometric Sharpe ratio. Unfortunately I didn't find enough info about ...
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4answers
322 views

Predicting portfolio returns

I suppose there are roughly two approaches to predict portfolio returns. Either predict the returns of all underlying stocks and aggregate all individual stock predictions, or predict the portfolio ...
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3answers
1k views

Regularizers to compute Minimum Variance Portfolio weights

I need to compute the mimimum variance portfolio using different regularizers, to compare the results and use validation methods to find the optimal parameters. Currently my work has been performed ...
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2answers
131 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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2answers
834 views

Book recommendation on portfolio managment

I have a BSc degree in pure mathematics and i am graduate student in Operations research. I will have a course on "portfolio management". I am looking for some book/lecture notes/online course ...
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0answers
251 views

Non-parametric estimator - CVaR / Expected shortfall

Is the estimation of the CVaR using known non-parametric methods (histogram, kernels) different than the estimation of any other R.V.? If the answer is yes, I am interested to know whether there are ...
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0answers
61 views

Why can't I take the Value at Risk "VaR" as a a risk objective in PerformanceAnalytics? (it does work for "ES)

I am currently playing around with PortfolioAnalytics package in R and some data and I am aiming to create different portfolios with different VaR. However, I am struggling first of all, add.objective(...
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0answers
81 views

Can we get the portfolio size approximation from the PnL? [closed]

Im wondering if we can get the portfolio size approximation, if we have the volatility and -/+ pnl of the portfolio ? Is there a method or a formula ? Example the annual volatility of 3% and daily ...
2
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1answer
103 views

Maximum Diversification Strategy without risk free asset

I am currently dealing with the Maximum Diversification Strategy and I am trying to understand the synthetic universe approach from Choueifaty et al.(https://www.tobam.fr/wp-content/uploads/2014/12/...
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2answers
112 views

Portfolio volatility - Real life application

Given that a portfolio consists of Stock=USD 30, High-yield bonds(duration=5 years,spread duration=5 years) =USD 40 , Commodity = USD 30.
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1answer
163 views

What is the "characteristic" associated with the MMI portfolio? How would you find it?

I found the above question in Grinold and Khan "Active Portfolio Management", p39 Chapter 2 Q3 of the Exercises. I presume the MMI portfolio is the Major Markets Index portfolio, but I'm struggling to ...
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2answers
146 views

Construct a portfolio of European call options with a certain payoff function

My question is similar to Replicate a Portfolio with Given Payoff but I am not quite sure how to apply this to my problem. A portfolio of European call options on an asset $S_T$ has a payoff function ...
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2answers
156 views

Do correlated assets affect the price of a portfolio of derivatives?

I need to compute the value at risk of a given portfolio as an exercise for a class at university but I have trouble understanding how correlated assets affect the price of the portfolio. Could you ...
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1answer
96 views

Classifying groups of stocks beyond Market Cap/Industry/Sector

I'm monitoring margin values for a portfolio and I want to classify the stocks in my universe using different metrics/information. Just for the sake of making analysis/inferences on the data I have. ...
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2answers
4k views

robust portfolio optimization re-balancing with transaction costs

The optimal re-balancing strategy takes account of factors including i) objective function, ii) current portfolio weights, iii) expected return vector containing updated views/alpha forecasts, iv) ...
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0answers
83 views

Spot trading: exact mathematical definition of the positions for a portfolio

Let us say that I want to spot trade a portfolio constituted of a pair of two stocks of respective prices (for example in USD) $S^1_t$ and $S^2_t$, and suppose for example that they co-integrate ...
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2answers
3k views

calculate portfolio return with one long position and one short position

I was trying to learn how to work out the performance of a portfolio where you are long one stock and short another. I found an example below. The NAV is calculated by adding the value of the long ...
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3answers
512 views

Most significant research articles for practical investors with research perspectives

I am an applied mathematician and recently I have decided to study the portfolio management theory. As a final objective, I want to manage my own portfolio and to try make some money on it using my ...
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1answer
341 views

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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1answer
2k views

R: Calculating cumulative return of a portfolio

I've downloaded adjusted closing prices from Yahoo using the quantmod-package, and used that to create a portfolio consisting of 50% ...
2
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1answer
101 views

Co-variance of Portfolio A with Portfolio B

I'm trying to calculate the correlation between two separate portfolios. I've used A*COV(AB)*B to calculate the co-variance of each portfolio where: A = Array ...
2
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0answers
40 views

Which performance evaluation measure to assess "Connectedness Matrix" based porfolios?

1. Question Which performance evaluation measure would be best to assess the portfolios built on 'connectedness matrix'? The connectedness matrix is the concept introduced in the academic paper "...
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1answer
221 views

Compare portfolio variance using different regularizers

I'm given a question like below. Using the 48_Industry_Portfolios_daily dataset: characterize/describe the dataset and focus on the global minimum variance portfolio. Compare the portfolio variance ...
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0answers
97 views

Rebalancing order on trading pairs

I'm working on a program to rebalance my portfolio among a set of crypto assets. Though I'm a bit confused on how to best order the buys in sells among the various pairs. Consider the following ...
3
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1answer
210 views

How to check if a portfolio has momentum bias

I am wondering what methodology exists to check if a fund/portfolio is having momentum bias or chasing the past performance, assuming you have their full returns and full portfolio holdings for past ...
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0answers
130 views

Correct beta weighted delta options formula?

Is this the correct formula for beta weighted delta: http://www.nishatrades.com/blog/beta-weighted-delta I've seen this What is the formula for beta weighted delta and gamma? but they seem to be ...
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1answer
153 views

How to measure the practicality of a market portfolio for long-term investment?

Do you believe that the composition of the market portfolio that you have found is a desirable or practical one as an investment? Explain why or why not, based on the positions of your stocks. I ...
2
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1answer
608 views

portfolio information ratio calculation on daily returns including hedged strategy results interpretation

I am tasked with calculating the portfolio information ratio on ~15 years of daily portfolio returns and I am finding several approaches online which is quite confusing. The first approach simply ...
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0answers
399 views

Market Maker portfolio management

I am interested in articles/strategies related to portfolio and inventory management for market makers and to management of order cancellation, updates of order, etc. Most of the strategies from ...
2
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1answer
632 views

How to compute cumulative performance of a portfolio with two equities?

I have a time series of adjusted returns for two companies, A and B. I have created a portfolio consisting of these two time series with equal weighting (sum of weights must equal 1): $w_a = w_b=0.5$...

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