The asset rate of returns is the profit on a particular investment; it includes any change in the asset value, interest, commission or dividends and so, all other cash-flows which an investors receive or pays due to the investment.

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Limits analysis

I have a few time series of models to analyse in terms of how far/close they are to their underlying limit. The limit is a simple value on the y-axis (always positive), and the series can act ...
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11k views

How to calculate equally weighted market portfolio

There's two studies that test the same thing in different markets (i.e. they apply the identical methodology). They state: 1) "$R_{mt}$ is the equally weighted average stock return in the dual-listed ...
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1answer
74 views

Accounting for Withdrawals

I am trying to wrap my head around the proper way to do this. I would like to simulate the portfolio value adjusted for inflation with a fixed withdrawal rate. To simulate withdrawal rate, I will ...
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3answers
618 views

How to annualize dividends paid at varying intervals?

I am attempting to write a function that will calculate the annualized rate of return for individual dividends made by illiquid investments. These dividends are paid at varying intervals and the ...
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3answers
143 views

Calculate bond returns from yields

I have to construct and evaluate portfolio of bonds and stocks, namely I need to get return on portfolio, standard deviation and sharpe ratios. I have weekly data that contains stock prices, and I ...
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0answers
129 views

Correlation between idiosyncratic residuals and forward returns

The classic mean-reversion strategy is to calculate an "expected return" (alpha) by computing the raw return for each security and then remove the part which you think is market driven. Statistically ...
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252 views

comparing total returns from various data vendors

I need to use various data sources to cover all of my data, and I am concerned by the discrepancies in total returns. Data vendors were helpful, but their simple documentation did not help resolve why ...
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0answers
71 views

FRA-Strategy: Make 3-month and 1-year Excess returns comparable

I am trying to analyze an investment strategy that tries to exploit the empirical difference between forward interest rates and realized spot rates. I am using FRAs to capture the difference. I am ...
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1answer
399 views

How to download risk free rate?

I've been trying to download the national interest rates for some countries. When i use Datastream, it only gives me the currency return (while i need yield). Can someone please tell how to ...
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153 views

Probability Density of Returns of Bonus Certificates

Could anyone please help me with the following? I need to generate a histogram (resp. probability density) of returns of a bonus-certificate. A bonus-certificate can be replicated by an underlying ...
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3answers
2k views

Appropriate method for calculating negative returns on a trading strategy?

I have a cumulative profit/loss time series below for a trading strategy, what is the appropriate way to calculate the returns in percentage for such a series? My issue is the appropriate ...
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2answers
65 views

Using central limit theorem to test whether population average return is the same, before and after the recession

This is the task I have been asked to do. I've read up on what central limit theorem (clt) is, but I feel like I'm missing something. The data I have is a matrix of monthly stock returns from 50 ...
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2answers
648 views

Calculating Momentum From Returns

I am doing some modelling and have some data: ...
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1answer
44 views

Geometric Returns values less than -100%

I am trying to find the geometric return for semi-annual log-returns in Excel. However, I do not know how to handle values less than -100%.... ...
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1answer
698 views

What are DGTW adjusted returns?

Many papers, e.g. in The Journal of Finance, discuss DGTW adjusted returns (or DGTW abnormal returns) instead of just returns. What are these and how does one compute them?
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1answer
151 views

How to deal with different amount of td's in computing Sharpe Ratio

In calculating the Sharpe Ratio, should I take into account the days were I have 0 return due to non-trading day? Another user posted a similar question but this was related to trading days with no ...
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2answers
69 views

different amount of information on return correlations from shorter and longer periods?

I want to calculate annual excess returns on portfolios using monthly (total) returns for a CAPM (for the assets in the portfolio as well as for the benchmark), in order to have more information on ...
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1answer
436 views

T-note returns from T-note yields … derivation of Damodaran's formula

Damodaran's historical data on 10-year T-note returns (found here) uses the following formula to calculate the 1-period total return on a T-note ($R_1$) given the 10-year constant maturity ...
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1answer
92 views

Log returns and GARCH models

I try to model currency rates volatility using GARCH models through the RUGARCH package in R. Starting from the observed currency rate series, I compute the log-return through: ...
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1answer
64 views

How to model the effect of earnings surprises on long-term returns?

I'm looking into modeling the relationship between EPS announcement surprises with long-term returns (1 quarter to 3 years with intervals). I've based my current methodology off papers looking at the ...
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2answers
612 views

Correlation between S&P500 returns and 10y US Treasuries yields

I'd like to investigate the comovement of stock index returns with bond yields but I don't know which return's duration to use (1-year, 1-month or anything else) to get a better view of the ...
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1answer
101 views

right benchmark for an incompletely diversified international portfolio (for a CAPM): MSCI World or MSCI ACWI IMI?

I want to calculate annual excess returns on portfolios using monthly returns for a CAPM (for the assets in the portfolio as well as for the benchmark), in order to have more information on the ...
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1answer
26 views

How to deal with missing returns when creating value (equal) weighted returns

recently I am doing cross sectional regressions, and getting confused about missing returns. Suppose we have 100 stocks, then we want to construct a value weighted return (or equal weighted return). ...
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0answers
39 views

Confused on interpretation of betas/alphas in regression in finance

I ran a regression on two stocks. I don't have the data in front of me, but it is a more conceptual question. Let's say SP500 returned a total 23% return over this time period and MSFT returned ...
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1answer
29 views

De-annualizing a target alpha return

apologies if this is not the correct place for this type of question, but I just want to confirm if the following de-annualization is correct. if a manager states that he will earn 200 bps of target ...
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1answer
74 views

Comparing the return of different roll strategies

I am interested in calculating the effect of the roll return using different roll strategies. In specific I want to mimic a long-only futures investments. I have historical data for several ...
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0answers
69 views

robust regions in grid search

I have a strategy f that takes parameters x,y (for x,y taking values in integer ranges). I get two grids (of returns and volatility values) from computing f(xi,yi) for integer ranges x1 <= xi <= ...
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159 views

trading strategy outperforms passive strategy in absolute terms, but in returns vice versa. how could this be?

Background: I want to compare two trading strategies in term of profitability. The red one is an active trading strategy, which involves many entry and exit to a specific market. The blue one is a ...
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40 views

Econometrics - Granger Causality

Suppose we have two time series, if one has autocorrelations and the other is non stationary how do we test whether they Granger cause a returns series?
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72 views

Sampling and/or asymptotic distribution of a function

Assume we have the following function: $$f(p) = \frac{1}{(1-p)d}\ln\left(\frac{1}{T}\sum_{t=1}^{T}\left[\frac{1+X_t}{1+Y_t} \right]^{1-p} \right)$$ where $d$ is a constant $T$ is a constant $X_t$ ...
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2answers
2k views

Calculate Average Price, Cost, (Un)Realized P&L of a position based on executed trades

We have built an algorithmic trading software and need to calculate the following parameters for each position in our portfolio. Average Price Cost Realized Profit & Loss Unrealized Profit & ...
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444 views

Long/Short portfolio return

Suppose I have a Po with one long, one short positions and some cash (to balance the short + 50% margin) as shown below: ...
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99 views

Insignificant or significant explanatory power over risk adjusted returns?

Currently iam working on my master thesis which is about risk adjusted returns in the Asia Pacific REIT market. The goal of the paper is to determine/find variables that conceive explanatory power ...
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2answers
131 views

Geometric Variance

If the arithmetic mean is: $ \frac { \Sigma (x_i) }{n}$ and the geometric mean is $ (\prod (1+x_i) ) ^{1/n}$ The arithmetic variance is $ \frac { \Sigma(x_i-\mu)^2 } {n} $ then what is the ...
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1answer
61 views

Is there any relationship between investment return of a stock, for individual year (Yearly return) and multiple years (Overall annualized return)

currently, I'm calculating the return of a stock, for individual year and multiple years. I tend to answer the following question. Return of a stock for end of year 2010 (Individual year) Return of ...
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2answers
125 views

Trading days or Calendar days for Compound Annual Growth Rate?

When calculating CAGR for intervals shorter than a year (or intervals that are longer than, but not integer years in length), should you use the 252 trading days or the 365.25 calendar days? The ...
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1answer
64 views

Is the value also log-normally distributed?

My book assumes many times that $log(1+R)$ is normally distributed, so R is log-normal. But does this also mean that the value process is log-normal? Since $V=V_0(1+R)\rightarrow V/V_0=1+R$, and since ...
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1answer
93 views

Index creation from multiple time-series and variable weights

I am trying to compose one index out of several (three) indices with variable weights, 50%, 25% and 25%. After normalizing and calculating the log returns, what would be the best way to create the ...
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1answer
771 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
56 views

What does 2 Year Annualized mean compared to 1 Year Annualized

I am looking at a company's financial report and there is a table in it that lists returns over different annualized periods. It ranges from 1 year to 20 years. Would a 2 year return in this table be ...
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4answers
710 views

compute sharpe ratio for options?

Calculating sharpe ratio for shares is a straight forward task: (average returns - risk free ) / standard deviation. However i remain baffled as to how to tackle the task for options, can someone ...
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1answer
1k views

how to chain monthly excess returns into annual?

I want to calculate annual excess returns on portfolios using monthly returns for a CAPM (for the assets in the portfolio as well as for the benchmark), in order to have more information on the ...
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0answers
39 views

Regressing NYSE returns: Lagged intercept term & efficient market hypothesis

By performing the following OLS time series regression, $y_t$ = $\beta_0$ + $\beta_1$*$y_{t-1}$ + $\beta_0$*$y_{t-1}^2$ + $\epsilon$ I cannot reject the null hypothesis that b1=b2=0. However, ...
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45 views

Calculating Asset Returns

The question pertains to a simple phenomenon. There is gold futures listed on Exchange A and Exchange B. Exchange A and Exchange B overlap times with A and B starting 8 hours later and A and B ...
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1answer
33 views

Exponential weighting of returns

I am looking for a procedure to compute an exponential weighting of returns given a half life parameter. I ran accross a wikipedia article, can I take it unchanged an assume N(t) is the return at ...
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20 views

Standardized Abnormal Returns

I have a question. In an event study, I have found a standardized cumulative abnormal return Z test formula. It is attached. I couldn't find any sources to prove it. Do you know any articles about ...
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14 views

dynamic programming with serially independent returns

Book suggests that "asset returns are assumed to be serially independent, so wealth is a single state connecting one period to the next". I understand path dependency is lost in case of serial ...
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0answers
162 views

How to calculate returns of backtested strategy?

Lets say I have some strategy (long/short) backtested for certain period. Strategy has entries/exits only at the end of the day and may have overnight positions hold. Now I would like to compare ...
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41 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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267 views

what is a reasonable beta in CAPM?

I want to predict expected returns for assets using a CAPM, to calculate unexpected (unpredictable, idiosyncratic, non-systemic) returns in portfolios. My CAPM estimated on monthly total gross ...