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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2answers
95 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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1answer
184 views

Fixed Income Portfolio Optimization

I'm trying to solve for a maximum sharpe ratio portfolio in the fixed income space. To do so, i use CVXPY in python. I use this Paper as reference. This is my "setup": ...
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13 views

Help understanding methodology of doing market expectations error analysis

I am a beginner in the value-growth analysis. I wanted to do a similar analysis Piotroski, J. D., & So, E. C. (2012). Identifying expectation errors in value/glamour strategies: A fundamental ...
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2answers
111 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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43 views

Calculation of IRR Given Stage Assumptions

I am trying to replicate Union Square Ventures Fund #1 model. A number of assumptions are given and the outcomes are listed. I have copied these into google sheets. I am not sure exactly how IRR is ...
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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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77 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 ...
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1answer
72 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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1answer
100 views

Which Maximum Diversification Approach in MATLAB is correct?

I am currently trying to find the portfolio weights of the Maximum Diversification Portfolio and found two approaches which result in different outcomes. The first one is based on this paper:https://...
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2answers
103 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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193 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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64 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 ...
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136 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
76 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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51 views

Possible application of Polya's Urn on Portfolio's Investments?

I wanted to find some more information of this topic, but I found very little. I might be interested in optimizing a stock investment portfolio. Maybe I could use beta or some other common risk ...
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81 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
666 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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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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1answer
650 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% ...
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3answers
448 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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37 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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3answers
544 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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1answer
104 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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48 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 ...
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49 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
151 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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3answers
482 views

Efficient frontier doesn't look good

Hi I'm trying to draw an efficient frontier. Below is what I used. returns parameter consists of 9 column returns of portfolio. I selected 10,000 portfolios and this is how my efficient frontier ...
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1answer
123 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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1answer
152 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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80 views

Do you have any examples of 2 assets that are non linearly correlated? And any models that calculate portfolio risk based on non-linear correlation?

Do you have any examples of 2 assets that are non linearly correlated? And any models that calculate portfolio risk based on non-linear correlation?
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444 views

Some definitions in the BARRA Predicted Beta model

I'm studying the BARRA Predicted Beta model, and the common factor covariance between portfolio $p$ and the return on the market $m$ is defined as the product of the transposed vector of the factor ...
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58 views

Markowitz models with uncertain returns

I am analyzing the Markowitz models with uncertain returns as follows: after calculating the expected returns and the covariances of 30 monthly historical series of 30 stocks, I resolve the Markowitz ...
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1answer
111 views

Value-at-Risk for a portfolio model with Gearing

My models: Say I want to construct a portfolio so I maximize my expected return while keeping my risk (measured by Value-at-Risk) lower than my risk target. $$\max \sum x_i \mu_i \\ VaR_{0.05} \leq \...
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80 views

Another variation of the 'Sharpe ratio' in CVaR-based portfolio optimization?

Question What is the ratio S(p) shown below? Do we have a name for it like 'Sharpe ratio'? The ratio above is introduced in the academic paper Optimal portfolio selection in a Value-at-Risk framework ...
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1answer
95 views

Markowitz portfolio optimization and CAL [closed]

Just had some questions regarding the efficient frontier and the CAL. As i understand it the point where the CAL is tangent to the efficient frontier is the optimal mix of risky assets. However I also ...
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1answer
92 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 ...
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64 views

Fixed Income portfolio type

Could someone kindly point me toward a primer that would cover the various type of fixed income portfolio strategies under modern portfolio theory ? In a nutshell, I would like to know what kind of ...
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2answers
245 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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208 views

Maximum Sharpe Ratio Portfolio

Conceptually, what are the drawbacks / unforeseen risks of running a portfolio whose weight are derived from what would have maximised the sharpe ratio over the previous time period (last 30 days) ?
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1answer
98 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 ...
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1answer
917 views

How modern portfolio theory(MPT) and CAPM are related?

1. Question In what sense Capital Asset Pricing Model(CAPM) is related with Modern Portfolio Theory(MPT)? Why do we need to check whether the current price of assets is overvalued or undervalued ...
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1answer
105 views

Calculate New Portfolio Weights Given Today's Returns

I'm looking for a formula to recalculate my portfolio's weights at the end of time $T$, given a vector of the asset weights at $T$ and a vector of returns at $T$. For example: ...
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0answers
124 views

CAPM - market portfolio vs real portfolio

I'm trying to understand the relation (if there is any) between the market portfolio, as described by the CAPM theory, and a real portfolio (just like the one I plotted in the image below). More ...
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1answer
49 views

Looking for a paper related to tail risk of hedge funds and its decomposition

I am looking for a paper related to hedge fund tail risks (think skewness and kurtosis), decomposition of the tail risks into several components and their interactions with each other, other funds, ...
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81 views

How to reasonably aggregate returns across both different assets and different time-horizons?

This might be a somewhat open question, so any suggestion of improvement is welcome. Suppose at time $t=0$, we have $N$ different assets whose weights are $w_1,\cdots,w_n$ ($\sum w_i = 1$), and they ...
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1answer
83 views

How to find basket of stocks that are the inverse of yet another or ETF (never short)?

Suppose want to long an inverse of an ETF, rather than short the ETF itself. Is there a way to determine some mix of component stocks that would mimic the returns of such an inverse ETF (where also ...
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1answer
223 views

implementing Volatility Managed Portfolios

How to I calculate the value of c in the vol-managed equation specified by Moreira & Muir Volatilty Managed Portfolios (2016) Equation 1? Portfolio return in month t+1 =$$\frac{c}{RV_t^2}f_{t+1}$$...
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57 views

Mean-cVaR model: How can one include transaction cost

$$ \min \delta CVaR - (1-\delta) \sum_i^{n} \mu_i x_i \\ \sum x_i = \sum x^{old}_i \\ Losses(s) = \sum x_i - \sum_i^{n} (R(s,i))x_i \\ VaRDev(s) = Losses(s) - VaR \\ CVaR = VaR + \frac{\sum_s^{} ...
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1answer
97 views

why bridgewater filing only shows 10 billion in AUM

bridgewater supposed to manage 200 billion, but it 13F filling only shows 10 billion in AUM https://fintel.io/i13f/bridgewater-associates-lp/2018-09-30-0 why is it?