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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265 views

How to calculate annualised tracking error?

I have 36 months of relative returns and I need to calculate the annualised tracking error. So, using 36 months of returns is it simply like below: ...
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1answer
57 views

Isolating single assets standard deviation in a portfolio accounting for correlation

I am running a simple Monte Carlo analysis in Excel using mean return, standard deviation and the =NORMINV(RAND(),mean,std dev) method. I have a correlation matrix that I use to compute the portfolio ...
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2answers
73 views

Correlation Between 2 Portfolios

I have a set of assets, n. I'm trying to find the correlation between 2 portfolios, say x and y, where x is nested in, or, a sub-set of y. That is, x is a portfolio based on a sub-set of n, while y is ...
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1answer
538 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
543 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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1answer
38 views

Portfolio with a certain pay-off curve

I would like to find a relevant optimization option's portfolio models which can describe a certain pay-off curve (objective function) under same assumptions. For example, assumptions on how to limit ...
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0answers
44 views

Physical interpretation of variance in returns in a portfolio design

I have a downloaded the log-returns at successive times of 98 stocks from S&P index over 753 days. I calculated the total daily return according to the formula 1 below, where ...
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0answers
24 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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0answers
14 views

How to Neutralize Portfolio across economic sectors and industries using modified Alpha?

I am reading about Alpha and Portfolio Construction topic while reading i came across below point. Active management should be easy with the right alphas. Sometimes it isn't. Most active managers ...
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21 views

Fund Separation Theorem for Performance Seeking Portfolio

Can someone explain this statement? "The beauty of the fund separation theorem is that the performance seeking portfolio mandate is the same for all investors"
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0answers
18 views

Calculating portfolio returns from a dynamic, optimal re-balancing strategy

I am calculating a dynamic strategy with optimal re-balancing as in here. As a result of maximizing the expected utility function I obtain the weight for the risky asset in period $t=0$. All such ...
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0answers
12 views

One period optimizations with tcosts, few predictions and getting positions unstuck

Consider a one period portfolio optimization with objective that maximizes $\omega E(r) - \lambda_r\omega^t\Sigma\omega - TC$ Where TC is however we calculate tcosts/impact. Importantly, most ...
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19 views

Asset weights in asset allocation

I am trying to solve an asset allocation problem by approximating the expected utility of a portfolio. I am using the following formula: $E_t [U(1 + w_t' r_{t+1} + w_{ft} r_{f, t + 1})] = m_{1,t+1} - ...
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0answers
29 views

Calculating returns when number of securities in a timeseries varies over time?

I have a timeseries of security returns in which the number of securities in the timeseries varies over time. More specifically, I have a universe of events where securities(their returns) are added ...
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0answers
25 views

derive variance of a portfolio

I'm stuck on a derivation of the variance of a portfolio of securities $K_1,K_2$ formula The end result is $Var(K_v) = w_1^2Var(K_1)+w_2^2var(K_2)+2w_1w_2cov(k_1,k_2)$ Proof so far: Let $K_v = ...
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0answers
27 views

Approximating the conditional expectation in simulations

I am simulating stock returns, which are governed by the following equations $r_t = \mu + \delta r_{t-1} + \sigma_t z_t$ $\sigma^2_t = \omega + \alpha \varepsilon_{t-1}^2 + \beta \sigma^2_{t-1}$ ...
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0answers
21 views

Academic definition of portfolio turnover

I'm looking for an academic reference on how compute the standard portfolio turnover used in finance. I found a definition by Barroso and Santa-Clara, however their definition is based on both the ...
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0answers
65 views

Asset allocation and GARCH models

I am trying to solve an asset allocation problem and I am having some troubles grasping the concept. I am working with excess returns on 4 stock indices and I am obtaining the excess returns forecasts ...
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0answers
20 views

Portfolio construction for signals of varying time scales?

Wondering if anyone is aware of any research on combining/portfolio construction of signals on different time scales. For example, if I have a trading signal (alpha) that generates trades every hour ...
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0answers
24 views

Portfolio value containing stocks and a bond

Consider: 1000 dollars invested in stock portfolio and a zero coupon bond. Investment period: 30 years Yearly retur for the stock portfolio: Rk = eµ+σZk , k is after year k Zk are normally ...
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0answers
21 views

High Beta 'Filter' for Minimum Variance Portfolios (MVP's) - Lower Risk/Improve Return?

I am busy conducting research in South Africa on the JSE. I am investigating several risk based portfolios with an emphasis on MVP/min vol. My process is as follows: Although the JSE has around 400 ...
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0answers
39 views

Hwo to create a benchmark for a portfolio?

How does one create a benchmark for a portfolio? I realize if I were using strategic asset allocation, I could just look at the already existing benchmarks associated with the various asset classes ...
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0answers
40 views

Performance analysis for a changing portfolio

I am trying to do a performance analysis of an investment in five different funds (A to E). I am investing a fixed amount at each fund (say 10m in A, 20m in B, 10m in C, 20m in D, 10m in E) but the ...
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55 views

Active or Passive strategy?

From my reading, passive portfoliomanagement means to replicate an index, active portfoliomanagement means to deviate from an index. Does that mean that e.g. rules-based investing is actually an ...
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0answers
183 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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58 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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0answers
174 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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votes
1answer
268 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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votes
0answers
38 views

How to define the return of this portfolio? [closed]

I have an insurer with a some assets that he plans to invest into : Stock Zero-coupon bond with maturity 10 years We know also that the stock is driven by the geometric borwnian motion, the short ...
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votes
1answer
83 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 ...
-2
votes
1answer
69 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 ...
-3
votes
1answer
146 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 ...
-3
votes
1answer
525 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 ...
-4
votes
2answers
222 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, ...