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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33 views

How to reason about leverage in terms of elasticity

Return of an investment for a given period is by definition: $$r = \frac{P}{W_0} - 1$$ where $P$ is the price of the investment at the end of the period, and $W_0$ is the initial investment. I want ...
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1answer
412 views

Portfolio software that shows 'total return' for each investment

I'm a high school technology teacher and sponsor for the Charity Student Investment Project. Currently our students track our investment portfolio via a google spreadsheet ...
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1answer
158 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 ...
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2answers
894 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 ...
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0answers
35 views

On a source for a mean-variance portfolio optimization result

In the context of a mean_variance framework consider an optimizing investor who chooses at time $T$ portfolio weights $w$ so as to maximize the quadratic objective function: $$U(w) = E[R_p] - ...
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0answers
24 views

Multi-objective optimization: Where to find qualified examples for portfolio management?

I am looking for qualified examples of multi-objective optimization applied to a portfolio management situation in non-normal markets. Where can I find one or more examples of such a multi-objective ...
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0answers
55 views

Risk measures, Risk Management and Financial Risk Area

I'm currently searching material about market risk and I learned about coherent risk measures, VaR, CVaR (or expected shortfall), volatility. All that because I have to make a Financial Risk Area for ...
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0answers
23 views

Sharpe Ratio for loans

I am trying to calculate the sharpe ratio for a set of loans. These loans have already matured and I know if they were good or not: grades are the different grades of the loans. interest rate is the ...
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1answer
40 views

In theory historical performance of a portfolio

I am looking at the quantitative model our team is using for analyzing the performance of a portfolio of stocks. However I don't understand what the model is trying to achieve. The model is supposed ...
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0answers
51 views

Model-independent dynamic portfolio optimization techniques

For a problem where we need to optimize the portfolio based on the data, going for Markowitz MPT has the following advantage: we only have to estimate mean and covariance to find optimal weights. I'd ...
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2answers
55 views

Weighting with restrictions, but no clear objective function?

I have 40 shares in an index and I want to weight them based on their market value, define the known value as $x_i$ In the traditional way, the weight of each share is calculated as: $w_i = x_i / ...
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44 views

how to find CVaR/AVaR for triangular fuzzy no

While going through different methods of risk measure i came across AVaR/CVaR, while i was calculating AVaR/CVaR in credibilistic environment using VaR, i got stuck in the calculations eg. For ...
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0answers
39 views

How to value a portfolio of non-mature consumer loans?

I'm looking for the best way to value a portfolio of consumer loans that have NOT reached maturity and for which I do observe the payment/default history to date? I'm working with a large database of ...
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1answer
127 views

Plot Evolution of portfolio weights over time in R [closed]

Is there any function for plotting the evolution of portfolio weights over time in r?. I have a matrix of portfolio weights from an equal weighting strategy at rebalancing times and want to plot ...
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0answers
37 views

evaluating portfolio performance without knowing the amount held on cash accounts

I would like to evaluate the performance of a portfolio mananger. I know his trades, and the initial portfolio holdings. I do not know, however the amount held on his cash account. That is, I ...
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1answer
157 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 ...
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1answer
59 views

Computing the minimum variance portfolio

Given two risky assets and their corresponding covariance matrix, how do I compute the global minimum variance portfolio, its standard deviation and its expected return?
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135 views

Investment: Bond vs Equity

I was talking to a friend recently and he asked me the following question. If I have a device which perfectly (with 100% accuracy) predicts that both a bond (e.g. AAA rated government bond) and the ...
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1answer
110 views

investors hold efficient portfolios because generally they are risk averse

I'm trying to find a concept on this question,in my understanding investors differ on risk preference,the question said investors hold efficient portfolios because they are generally risk averse? ...
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1answer
68 views

Making portfolios better than others for a 16 week portfolio game? [closed]

I'm going to participate in a game of making portfolios. The objective of the game is to make the portfolio with the bigger ROI over 16 weeks. Over each week every player can see the ROI of each ...
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1answer
113 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 ...
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1answer
632 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 ...
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1answer
234 views

How do I simulate stock prices for a 10 asset portfolio, over a period of 10 years in MATLAB? [closed]

If I have given vectors for return and volatility (i.e. I have two 1x10 vectors), and I assume at first that their correlation is 0 (meaning my covariance-variance matrix is just diagonal), how do I ...
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1answer
287 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 ...
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0answers
13 views

The role of Gamma in replicating a put

I am analyzing portfolio protection by replication of a put. Having my portfolio with value $V$ I could buy put giving me the payoff $P$ resulting in a call like pay-off scenario $C=V+P$. Say, I ...
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1answer
50 views

Risk minimization by investing in all assets with positive expected return

Suppose I have an amount $T$ to invest and $N$ available assets. The stochastic return per invested unit of asset $i$ is $R_i$. The variance and the expectation of $R_i$ are $\sigma^2_i$ and ...
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1answer
31 views

portfolio optimization with uncertain returns

What is the usual method of dealing with many uncertain mean returns in portfolio optimization? For example say you have a 3 asset portfolio with assets A, B and C. All the correlations and variances ...
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37 views

Portfolio Performance Metrics

In comparing different long portfolios in stocks for 15 quarters, where at each quarter I re-balance the portfolio. So what I have done is made a function that outputs the rand value of the portfolio ...
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95 views

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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0answers
55 views

What is the most elegant way to write a trading (or asset selection) algorithm in MATLAB, based on a simple criterion?

Assume a $T \times N$ matrix $X$ of values for an asset characteristic at time $t \in \{1,2,\dots,T \}$, where $T$ is the observation period in months and $N$ is the number of assets and a ...
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0answers
57 views

multi factor equity model exposures not as expected

I'm researching an equity multi factor model. It contains three factors, say A, B & C. The factors are weighted as such, ...
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0answers
78 views

hedging an equity portfolio against an index

I am trying to run a simple back test on a M&A strategy. The idea is to buy the target company for the length of the deal and obviously hope to see a profit. The weight given to each deal is ...
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0answers
33 views

How to compute return of a variance swap?

How does one calculate the investment of a zero initial investment asset, specifically a variance swap? In this asset the payoff is given by the difference between the realized variance in a certain ...
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1answer
141 views

How to projectP&L or drawdowns on pair trading , trading and portfolios?

This is for planning and risk management. I am stuck on the following thoughts - Back-test the trading strategy for a period similar to the one you expect and then project. Do the above using ...
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30 views

Price of portfolio with target volatility

Consider the following: We have two assets, S1 and S2, and with each asset is associated a volatility, v1 and v2, respectively. Now let's say v1 < v2, and we want to create a portfolio of S2 and ...
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57 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 ...
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0answers
156 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 ...
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1answer
56 views

Equall Risk Contribution and The Most Diversified Portfolio [closed]

I am a master degree student on applied economics at Brazil and my thesis will be about smart beta strategies. I pretend to apply Equal Weigth, Mininum Variance, Most Diversified Portfolio and Equal ...
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1answer
69 views

how to calculate avarage variance and avarage covariance

I would like to figure out how to calculate av.variance and av.cov. I know how to calculate portfolio variance( for large ...
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1answer
54 views

Two assets with the same mean and standard deviation - Would there be any benefit? [closed]

If I have two assets in a portfolio with the same standard deviation and mean and the correlation between the assets is 0, theoretically could there be a situation where it would be beneficial to ...
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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 ...
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1answer
469 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 ...
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2answers
198 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, ...