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0
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1answer
22 views

How to calculate the normalized value of a changing stock portfolio?

My goal is to compare a portfolio of stocks with a benchmark over time. Calculating the normalized value of a static portfolio is no problem, but I am struggling when stocks are removed or added to ...
-1
votes
1answer
44 views

VaR for Options portfolio

I'm asked to estimate VaR for Options portfolio. Firstly, I wanna try to estimate VaR for AAPL stock european call option using Historical Simulation but I can't find any Historical Data. I tried ...
0
votes
1answer
64 views

Mean - Value at Risk optimization portfolio

so I'm intrested in building a process that computes the optimal portfolio selection based on asset using the framework of return maximization and VaR (montecarlo simulation) minimization. So far I ...
0
votes
0answers
24 views

Return Contribution for Annual Returns

I have a portfolio $p$ made up of a bunch of assets $i$ where the weights change slowly over time. The returns over each period $j$ composed of the weighted returns of the asset $r^j_p$ $$ r^j_p =...
0
votes
1answer
55 views

Calculating the long run average default rate when the portfolio changes during the year

The Basel rules prescribe to calculate a long run average default rate (LADR). It is stated that his rate should be calculated as the average of yearly default rates. A first idea what be: look at ...
0
votes
0answers
52 views

Backtest Portfolio Analysis

I actually finished an algorithm that i can use to extract all the trades for each stock (each file for each stock). Essentially, i run this code on Excel where there are the input about one stock, ...
0
votes
0answers
43 views

Synthetic Long Call in practice

I have researched Synthetic Long Calls on various texts, including John C.Hull and I also read some papers on Portfolio Insurance by Abken,Israelov and Nielsen, Aliprantis, Bertrand and Prigent, Lee, ...
1
vote
1answer
70 views

Questions related to Sharpe's return-based style analysis

I have been reading about Sharpe's return-based style analysis, which tries to determine the manager's exposure/effective asset mix to changes in the values of the asset classes. It does so by using ...
1
vote
3answers
151 views

Negative variance?

Using the formula w*Cov*t(w) I can generate a negative portfolio variance. What are the implications of a negative variance? Should I just assume it's zero? A negative variance is troublesome ...
-1
votes
1answer
66 views

Portfolio turnover [closed]

Really easy question, but I am having doubts. If you want annual turnover, and you have monthly weights, wouldn't you just do in excel: {=ABS(CurrentMonthsWeights-LastMonthsWeights)*12} for each ...
0
votes
1answer
75 views

Correlation of assets to portfolio of assets

How do you calculate the correlation of an asset to a portfolio, when for all assets in the portfolio you know there: correlation to each other, volatility and weight in portfolio. For example: ...
2
votes
1answer
85 views

Explaining an Option product: SIX Discount Certificates

So I have the option with the important info above. I am trying to generate a portfolio that represents the option. However I am stuck on the first hurdle as I believe it is a call option as the ...
1
vote
1answer
72 views

R PortfolioAnalytics

I am not able to find PortfolioAnalytics package for windows from CRAN. New to R, will greatly appreciate any help how to find and install this package.
1
vote
0answers
68 views

Why Do Universal Portfolios Work?

I've been reading up on universal portfolios, but I haven't been able to find an intuitive explanation as to why they have the theoretical guarantees that they do, especially that they track the best ...
1
vote
2answers
41 views

What is the return of risky asset in direct utility optimization probem?

I am trying to do this portfolio optimization for a one-month investment between S&P 500 as a risky asset and one risk-free asset: Assume that I have a power utility function, a risk-free rate ...
0
votes
0answers
44 views

How to rebalance a partial replicated index portfolio?

i am currently doing a project on portfolio construction / optimization using a subset of the stocks in an index (buying a subset of stocks in an index to replicate the index performance). This will ...
1
vote
0answers
27 views

Fast algorithms for computing distributions of ABS/MBS portfolio

First,suppose we only have ABS pass-through product ,all with maturity of 12 months.The typical cash flow for each loan is at the beginning of the month ,received principal for that term,say 10000 RMB ...
0
votes
0answers
12 views

normally distributed expected utilty function

i am very sorry but after spending 1 hour of failing to figure out how to embed an image, i'll just go ahead an post it as a screenshot. i understand how this is computed: http://prntscr.com/j7h04d ...
2
votes
1answer
107 views

Portfolio Optmization With Risk Aversion Parameter R

I have this problem in R. $$\max w^Tu- y w^T A w$$ where A is covariance variance matrix, y risk aversion parameter. Is it rigth if I use the function solve.QP multiplying the covariance matrix for ...
2
votes
0answers
37 views

How to ascertain/establish certainty of a portfolio rebalancing strategy?

I created a portfolio rebalancing strategy, that I am currently paper trading with. It is, primarily, based on mean-reversion principle with a few rules in place, and geared towards cryptocurrencies, ...
0
votes
2answers
90 views

% Drawdown on Stock Portfolio to hit Margin Call

Margin requirement is industry standard at 30% of total portfolio (cash + margin loan) e.g. You have 600k in equities purchased with cash and 400k in equities purchased on margin loan. The total ...
1
vote
1answer
56 views

Creating riskless portfolio in black scholes

$$\begin{align} d\pi &= \theta dV + dS \\[3pt] & = (\theta \partial V/\partial t + \theta \mu S \partial V/\partial S + \theta S^2 \sigma^2 \partial^2 V/2\partial S^2 +\mu S ) dt + (\theta \...
0
votes
2answers
85 views

What returns to use?

I have monthly returns of my portfolio... I would like to summarize the performance over a longer period in one overall figure. Should I use log returns per month then use geometric mean on the log ...
0
votes
0answers
30 views

Portfolio optimization under two constraints

I hope here is he correct place to ask my question. I am trying to develop a portfolio strategy with three assets (one of which is risk free). For this I need to determine a vector of weights (w) and ...
0
votes
0answers
36 views

MOM-TOM effect, Replication strategy

I have several questions on Otto van Hemert paper "The MOM-TOM effect: Detecting the market impact of CTA trading" (link). In section 3 he proposes a replication strategy for the Newedge Trend Index ...
0
votes
1answer
79 views

What is `1+ return` called? [closed]

Assuming day 1 my wealth is 1. At day 2 I earned 20%. So the rate of return is 0.2 and the wealth at day 2 is 1.2. At day 3 I earned 50 % again. So the wealth at day 3 is 1.8. I wonder what is the ...
2
votes
1answer
174 views

Creating a portfolio in R : good practices

I am quite new to quantfin, but wanting to learn. I've searched for the answer (google and stackex), but haven't found anything satisfactory (but I might not be asking the correct questions...) The ...
0
votes
0answers
25 views

The diffrence when calcaualting portfolio return between manual cacluation and Return.excess() from 'PerformanceAnalytics' packages in R

Hi I have a basic question about using Perforamnce Anayltics packages from R. I'm trying to get a portfolio return (time series data) and the return data is 'tan_data'. I have assigned return to 'w' ...
0
votes
0answers
31 views

If one stock has a better sharpe ratio than the other, than can an optimized (for highest return) portfolio have both stocks in it?

And the reason for that occurrence could be the correlation between the stocks? For eg, i have facebook and ibm both in my portfolio, and clearly, despite facebook having a better sharpe ratio, the ...
6
votes
1answer
221 views

Simple mean reversion strategy portfolio construction

I had a quick idea I wanted to test, but am not sure of the correct way to size bets. Basically, I think that for a given index (say S&P), I want to be long under performers and short over ...
4
votes
1answer
272 views

How to choose a tangency portfolio without a risk-free rate

How do you choose an optimal portfolio from the efficient frontier if no risk-free rate is given? I know that if there exists risk-free asset, then you would combine a portfolio from the efficient ...
2
votes
2answers
123 views

Gamma portfolio trading

It is being said that in a long-gamma portfolio, you follow a buy-low sell-high strategy for the underlying stock, which causes you to make profit. The Theta for this portfolio is negative. But it is ...
0
votes
0answers
22 views

Equivalence between Order of Optimization for Mean Variance

When calculating mean variance portfolios, the general strategy is to minimize variance subject to expected return being higher than some benchmark $\mu$. An alternative approach to this problem ...
0
votes
0answers
24 views

Is there any standard test data for diversified and non-diversified portfolio?

Is there any standard test data for what is considered a diversified portfolio and non-diversified. I want to compare some metrics between a diversified portfolio and non-diversified portfolio. It is ...
0
votes
0answers
28 views

Automating data downloads [duplicate]

I use a personal stock tracking database that I threw together in MS Access 2010 which lets me follow my holdings and recommended buys. It used a VBasic routine that automatically downloaded from ...
0
votes
2answers
104 views

Standard deviation of a long-short portfolio with net position zero

I've come across the following question and I'm slightly stuck in answering it: Suppose you have a two-stock portfolio that is long one stock of asset A, and short one stock of asset B, with A ...
1
vote
2answers
134 views

What is the delta of a portfolio invested in different stocks?

I understand that if I have a portfolio invested in stock A and options on stock A, the delta of my portfolio is going to be the weighted sum of the delta of the stock (=1) and of the option. Now if ...
1
vote
1answer
37 views

Portfolio optimization of unequal length back-tests

I have a portfolio of assets. For each asset I have a back-tested time series of daily profits. I'm tying to optimize, using the correlation of daily returns, to minimize the total draw-down of the ...
1
vote
1answer
43 views

What price data should I used when making minimum mean variance portfolio, optimal risky portfolio and efficient frontier using Markowitz? [closed]

I need to make optimal risky portfolio, minimum variance portfolio and efficient frontier using Markowitz . But i don't know whether to used close price data or adjusted data. If i'm using adjusted ...
4
votes
1answer
651 views

Portfolio Risk Decomposition - different methodologies

I understand that there are several methods for decomposing contributions to risk (be it variance, std dev, etc.) in a portfolio of assets. For example, a response in this post indicates that there ...
0
votes
1answer
126 views

How to construct stock portfolios in R

I need some help, since I can't find any good sources. I need the portfolios for my thesis. I have 20 years of monthly stock returns for ~200 stocks. I want to create each month 5 equally weighted ...
3
votes
0answers
92 views

Parametric VaR of a portfolio of a stock and an option on that stock

I understand how to calculate the parametric VaR of a stock and an option separately. But I don't understand how one can calculate the VaR of a portfolio of a stock and an option on that stock using ...
0
votes
0answers
128 views

optimize.portfolio.rebalancing for R package PortfolioAnalytics version 1.0.3636

I am running the example of the optimize.portfolio.rebalancing from the help page and I am getting an error message: data(edhec); R <- edhec[,1:4]; funds <- colnames(R); portf <- ...
1
vote
1answer
98 views

Create a hedging portfolio

If, given a return stream of unknown composition, what is the best find a portfolio of assets that replicates that return stream from a universe of assets? In other words, what is the best ...
0
votes
0answers
30 views

What is the difference between expected return and percentage of assests allocated?

I'm trying to apply the Modern Portfolio Theory in the area of computer networks. The task is to select between multiple services (assets). Each service has some properties such as response time. Each ...
1
vote
1answer
71 views

Analyzing stock performance - keep companies after bankruptcy?

I am currently analyzing the performance of stocks with high/low corporate social responsibility rating. Some companies went bankrupt during the observation period and I wonder how long I should keep ...
-1
votes
1answer
146 views

How to calculate the annual contribution of a fund to a portfolio of funds?

let's assume I have a portfolio of two funds (call them F1 and F2), where, by convention, there is a monthly compounding of the returns. On a monthly basis, the contribution of each fund will just be ...
0
votes
0answers
52 views

Specific question on applying views on Black Litterman Model

When considering Black Litterman model, when giving views to the stocks, if there is one of them for which I do not have any view , does that strictly reflects on having the same return for that stock ...
2
votes
1answer
460 views

How to compute the forward price using a replicating portfolio?

I post this question here as I didn't receive an answer in the Mathematics community. I am trying to understand how replicating portfolios can help us determine fair prices. Suppose we have a 3-year ...
0
votes
1answer
69 views

How we compare 2 portfolios one with risk the other with characteristics?

I have 2 questions which i can't seem to find no matter how I search. so: 1) If we have 2 portfolios. One based on risk-return tradeoff (with variables HML, SMB and beta ) (Fama French, 1993) and the ...