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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3
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1answer
158 views

Portfolio with lots of subportfolios

An account manager has $N$ distinct, equally-sized pots of money, which will be used to make $N$ distinct subportfolios, each of which is drawn from a slightly different (but potentially overlapping) ...
0
votes
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 ...
0
votes
0answers
23 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 ...
2
votes
0answers
27 views

Subclass Tracking Error

I am currently doing a master program project regarding tracking errors. My assignment is to evaluate following question: How to find out the correlation structure of the passive (=second order/sub-...
0
votes
1answer
29 views

Reshuffling the weighting of assets in an investment portfolio

An investor has a £40,000 portfolio, 40% of which is invested in bonds.The investor wishes to add funds to the portfolio by purchasing bonds so that 52% of the entire portfolio is invested in bonds. ...
0
votes
0answers
70 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 ...
1
vote
1answer
246 views

How to answer this interview programming question about drawdowns?

I saw this question as an interview, and to be honest, I have no idea what it's even asking for: Write a function (in R or Python) that finds the stock drawdown which will trigger a rebalance, ...
1
vote
1answer
85 views

Portfolio of sum of two Bachelier processes

Suppose you construct a portfolio of two stocks, whose values $A$ and $B$ are modelled as a Bachelier process: $$dA = \sigma_A dW_A(t) \text{ and } dB = \sigma_B d W_B(t).$$ Each of the stock prices ...
3
votes
2answers
146 views

Sharpe Ratio : why the normalization factor?

I try to understand why a $\sqrt{252}$ normalization factor is useful for Sharpe Ratio: Let's compute the Sharpe Ratio for this imaginary portfolio, for various sampling periods: ...
3
votes
0answers
111 views

Is Low-Volatility expensive these days? How can we analyze this?

Low volatility investing became somewhat fashionable in recent years. In general there are two approaches to this Ranking stocks of a certain universe by either stand-alone volatility or by beta and ...
4
votes
3answers
91 views

Abritrage when Put Option Greater then Strike Price?

I am having a tough time conceptualizing this question here: Let $P$= Price of European Option, $S$ = Present Price of Option and $K$ = Strike Price. If $P > K$, why does abritrage exist? Assuming $...
10
votes
2answers
1k views

Risk Budgets with Target Portfolio Volatility

I'm working through the implementation of a risk budgeting approach as described in the recent Roncalli paper. The idea is that the portfolio manager sets a contribution of total portfolio volatility ...
2
votes
1answer
410 views

Value at Risk from Delta of a single asset portfolio

I am trying to figure out the following, for me unfamiliar type of question: Given is a single asset portfolio: the Delta of the portfolio is 15, the value of the asset is 10 and the daily volatility ...
9
votes
1answer
146 views

Are there references about liquidation, transaction, market impact costs in portfolio optimization

I am looking for some references treating of what I would call liquidation cost market impact cost transaction cost(*) in the usual "portfolio optimization problem under linear constraints". Let ...
0
votes
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 ...
0
votes
5answers
113 views

What can I use to measure of diversification?

I have to come up with a measure of diversification for trade (this can tie in closely to diversification as regards portfolios). Are there any well known measures of portfolio diversification?
0
votes
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 ...
1
vote
0answers
86 views

Determining the investment strategy

I have the following problem: Consider the 5 year investment strategy and given the yearly portfolio returns $S_{t+1}/S_t$ and dividends $D_{t+1}$ paid at $t+1$ which are modeled as: $\frac{S_{t+1}}{...
0
votes
0answers
23 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 ...
0
votes
0answers
40 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 ...
0
votes
1answer
355 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: ...
2
votes
1answer
63 views

How to calculate a hypothetical minimum-variance point?

If we have $N$ assets which are uncorrelated, but have the same mean return of $\mu$ but the variances are different where $\sigma_i^2$ is the variance of each asset $i = 1, 2,...,N$ how can you write ...
2
votes
0answers
48 views

OHLC Covarianc Estimation

Is there an R package which can estimate a covariance matrix using OHLC (Open/High/Low/Close) share prices for upwards of 40 shares using the Yang & Zhang method using daily data? I google ...
2
votes
1answer
65 views

How to optimize a portfolio using skewness?

I am trying to do portfolio optimization for 5 stocks taking into account skewness of the portfolio but I am unable to incorporate skewness to the mean variance model. Can anyone please help on how ...
32
votes
12answers
16k views

Why does the minimum variance portfolio provide good returns?

I've been a researching minimum variance portfolios (from this link) and find that by building MVPs adding constraints on portfolio weights and a few other tweaks to the methods outlined I get ...
7
votes
2answers
1k views

Which algorithms do robo-advisors use?

Some pundits claim that there is a revolution in portfolio management under way: The rise of the robots, a.k.a. robo-advisors. The most well known are Betterment.com, FutureAdvisor, Schwab Intelligent ...
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0answers
31 views
2
votes
2answers
94 views

Mean Variance Portfolio theory and real-world problem?

There are many assumptions on mean-variance portfolio theory and they seem to be very unrealistic, for example 1) investors have the same information at the same time: calculating expected returns ...
2
votes
0answers
45 views

Given (past) stock values for N assets, how to find the maximum - theoretical - profit?

In the past few days I have been thinking about a question which seems trivial, yet I can't think of any efficient way to find the optimal solution... Here is the problem: imagine you have a ...
4
votes
1answer
116 views

Tests for Mean Reversion in a Portfolio Rebalancing

On a single time series one can run a Dickey-Fuller test to determine if the asset is mean reverting or at least has been mean reverting during your sample. Is there a way to test for mean-reversion ...
3
votes
0answers
78 views

Portfolio insurance strategy with path dependence

I have the following problem. Let us assume that $S_t$, the stock price follows, geometric Brownian moation with parameters $(\mu,\sigma^2)$. We are given an amount of money $M$ and at each point in ...
3
votes
1answer
111 views

A question on immunization and Macaulay duration

I am studying for the Society of Actuaries - Exam FM and encountered the following problem: Let $x$ be the face amount of the 5-year bond and let $y$ be the face amount of the 10-year bond. Since ...
5
votes
1answer
108 views

How to calculate Skulls Financial Turbulence for one asset?

I have just read this paper http://www.cfapubs.org/loi/doi/abs/10.2469/faj.v66.n5.3 In the paper they define financial turbulence formula as: Could anyone help me calculate/understand this formula,...
4
votes
3answers
175 views

market neutral weights and cash values

I am looking at a market neutral portfolio and have a question which I think is probably pretty simple. So I can see the individual stock weights. ...
1
vote
1answer
77 views

Investor choice problem

Guys I'm stuck with a problem... Consider the portfolio choice problem of a risk-averse individual with a strictly increasing utility function. There is a single risky asset, and a risk free asset. ...
6
votes
1answer
411 views

Calculate turnover for portfolio

I am trying to calculate the turnover for a portfolio strategy. First I generate some random data and assign it dates: ...
2
votes
0answers
82 views

Ledoit-Wolf portfolio weights calculation

I am trying to implement the Ledoit-Wolf minimum variance portfolio strategy on a real-world stock dataset. ...
1
vote
1answer
53 views

Understanding portfolio weights and purchasing stock in modern portfolio theory

Recently I've been learning about the markowitz algorithm. It's pretty interesting, but I'm curious how we apply this in practice. Lets say I have some optimal portfolio: $R_p = x_aR_a + x_bR_b$ ...
0
votes
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 ...
0
votes
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 ...
1
vote
1answer
187 views

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

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 ...
4
votes
1answer
103 views

volatility factor

I am trying to add a volatility factor to Fama-French factor model. Does anybody know of a source where I can get data for "volatility mimicking factor" or suggest a simple methodology for calculation....
3
votes
0answers
30 views

conferences for credit portfolio managers

What are worth conferences for credit portfolio managers? I appreciate your recommendations! PS:I am aware that this question is not the typical quant.SE question, BUT I couldn`t find reliable ...
1
vote
1answer
81 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] - \frac{\...
1
vote
0answers
34 views

Disaggregating stock performance and dividend yield

I modeled the performance of several portfolios with adjusted close data and would now like to understand how much of it is driven by changes in stock price and dividend payouts. I have all the data ...
2
votes
2answers
120 views

When to adjust portfolio weights?

In portfolio allocation literature there is lot of effort made in obtaining 'better' portfolio weights, for example via improving parameter estimates, introducing Bayesian approaches, incorporating ...
12
votes
4answers
6k views

R: Fast and efficient way of running a multivariate regression across a (really) large panel (First pass of Fama MacBeth)

I am attempting to run a rolling multivariate regression (14 explanatory variables) across a panel of 5000 stocks: For each of the 5000 stocks, I run 284 regressions (by rolling over my sample ...
1
vote
1answer
60 views

Calculating Fees (Kane, Marcus, and Trippi)

Having read a chapter in Bodie, Kane and Marcus' Investment, I came across a formula I do not quite understand. It states that the percentage fee in excess of what an index fund would charge on active ...
3
votes
2answers
80 views

Higher expected value and same variance implies weak dominance?

In his book Risk and Asset Allocation, Meucci writes (last paragraph) Indeed, since all the indices of satisfaction $\mathcal{S}$ discussed in Chapter 5 are consistent with weak stochastic ...