Questions tagged [returns]

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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310 views

What are the essential characteristics of asset prices?

I think the question has already been asked about stylized facts of asset returns; this question regards the essential characteristics and normative assumptions used to evaluate asset prices. I.e., ...
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Is it more accurate to analyze returns on a calendar day basis than a trading day basis?

I'm rather new to the actual practice of this kind of analysis, but it just seems wrong to me to throw Mondays' returns in with the rest without accounting for the passage of time on the weekend when ...
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Carry Trade vs synthetic Carry Trade using forward contracts

When it comes to foreign exchange carry trade strategy, the definition is straightforward: an investor borrows 1 US-\$ in the US (low interest country) and invests that \$1 to AU (high interest ...
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38 views

Statistical significance of mean returns between two portfolios

Suppose I have developed two versions ($A$ and $B$) of a factor model for ranking stocks. Both versions of the model use the same scoring system: stocks are percentile ranked within a given universe ...
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344 views

Regressing non-USD returns on FF 3-factor returns

I am analysing some portfolio returns from the perspective of a Danish investor, i.e. in the local currency, DKK. I want to regress portfolio returns in DKK on the returns of a 3 factor Fama & ...
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41 views

Polynomial interpolation of corrected lognormal distribution

Can anyone provide a formula for a polynomial interpolation of the corrected lognormal distribution used to model returns traditionally resulting from the wrong Brownian motion generated model? ...
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632 views

Modelling log-returns and calculating the portfolio return

I know this might be a trivial question, however, I would be grateful for some clarification. I am working on weekly log-return data, doing volatility-foracasting using GARCH models and then using ...
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347 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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29 views

Constructing a replicating portfolio of a long-only strategy using long-short factors

Lets say I want to estimate a replicating portfolio by doing a linear regression between the returns of a long-only portfolio and several long-short factors like Fama-French 5-factor or Betting ...
2
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87 views

Is it possible to compute implied returns from volatility?

If we assume that, broadly speaking: Assets in liquid markets are fairly priced to its value Volatility is predictable (volatility clustering, GARCH, etc) Investors are rewarded and earn a return for ...
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134 views

Calculate the True daily Time Weighted Return

I have an access database with records of securities in my portfolio as well as my trades for each security. My aim is to calculate the "Daily Time Weighted Return" then down the line, export it and ...
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665 views

How does this return decomposition work?

http://image-src.bcg.com/Images/BCG-Value-Creators-2017-Appendix-July-2017_tcm9-166061.pdf The paper here decomposes total shareholder return into different components. Here is my derivation of the ...
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33 views

Understanding pooled VAR model

I encountered a paper by Vuolteenaho (2002) in which he uses pooled VAR model. I have some troubles understanding the idea. He uses firm level variables (log returns, ROE, etc.) and ultimately he ...
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347 views

kalman filter for a multifactor model in R

I am trying to set up a time varying factor model for the purpose of return decomposition via kalman filter. Following this example and slightly modifying it so as to accommodate for more than one ...
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254 views

VAR models for log-returns?

I am wondering if Vector Autoregression (and other autoregressive models) is a sound modelling for the daily (not high-frequency!) log-returns of time series from liquid financial markets. One can ...
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2k 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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74 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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291 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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77 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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119 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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118 views

% Return on backtest with variable positions and notional amounts

I have a 14 year backtest for a systematic strategy that uses a static notional per each position. On any given day I could have multiple positions long and short and notional long and short. How do ...
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86 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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231 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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40 views

Cumulative returns are more correlated than non-cumulative

I was just comparing two daily returns series and noted that the correlation between them is a lot higher if they are cumulated (about .95 for cumulative returns, vs .15 for non-cumulative). I feel ...
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48 views

Get the weights of porfolio variance given standard deviation

I am trying to create a Simulated Portfolio Optimization based on Efficient Frontier on 50 stocks, which you can find the csv here. Yet it already takes me several minutes to get a suboptimal solution:...
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42 views

Results of Fama MacBeth regression

I have run Fama MacBeth cross section regression of of Excess Return of stocks on Idiosyncratic volatility, the log of market capitalization, book to equity ratio and Beta. I'm getting all significant ...
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50 views

How do I maximize my expected utility of wealth?

Suppose I have a utility function say $U(p)=p^{1/2}$ and I bet on a basketball game. I have my initial investment, payouts and probabilities of winning, how can I determine the maximum I need to bet ...
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29 views

Overnight and intraday returns of stock index and ETF seem inconsistent

Figure 2 of the 2019 paper "Celebrating Three Decades of Worldwide Stock Market Manipulation" shows that 29 Jan 1993 to 31 Oct 2019, overnight returns (from close to open) of SPY were 1232% while ...
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30 views

Time and asset weighted rate of return of a portfolio

If I have a portfolio with 3 initial assets on day 1 (say, stock 1 with beginning market value of \$100, stock 2 \$150 and stock 3 \$175) and after 10 days the stock 2 is sold for \$200, how can I ...
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100 views

Bloomberg Treasuries PX_Last and daily returns

I tried to search for this specific question, although I didn’t found a conclusive answer. I have a dataset containing the yields of several T-Bills and T-Notes that were downloaded from a Bloomberg ...
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183 views

Relationship between ROE and IRR

In the textbook I read the following: We can increase the present value of a share of common stock with a new investment only if $ROE > r$ , where $r$ is a discount rate (capitalization rate). ...
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56 views

Autocorrelation in daily bond returns

I've been examining the returns of a few government bond series around the world. I found out that some have a positive daily autocorrelation. It's not big, but still seems at odds with efficiency. ...
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71 views

What's the interpretation behind this GARCH modeling?

I have an ARIMA model for monthly returns of the brazilian stock market index. Then I test the residuals of the model for ARCH effects. The ACF/PACF of squared residuals show that there are no ...
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24 views

Source for derivation of acquisition price for given IRR and cash flows

Does anyone know a quotable source - book/academic or practitioner's paper - that derives the acquisiton price for a target firm when the buyer's desired IRR and all cash flows over time of the target ...
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63 views

Predicting stock returns using principal components of macroeconomic variables

I'm trying to detect return predictability by regressing stock returns on the first couple of principal components of a set of macroeconomic variables. I'm doing this for different stock styles such ...
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34 views

General to specific approach to modelling

I am trying to find the relationship of stock indices across the world. This has been done by the literature, however, I am wondering about the methods chosen. I have decided to go with what I think ...
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25 views

Sample distribution of cross-sectional statistics of returns

Currently doing an application of VaR on sample of industry portfolios in the US. I have a matrix of $n$ industry portfolios with $m$ time-series observations. I calculate cross-sectionally (for each ...
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110 views

Black Litterman - numerical instability

I am trying to work out the formula for the posterior mean in Black Litterman's model assuming 100% confidence : Ref: https://corporate.morningstar.com/ib/documents/MethodologyDocuments/IBBAssociates/...
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1answer
309 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 =...
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54 views

Computing squared returns given differential equation for prices

I am looking for general advice on how to start tackling the problem below. My background in math is fairly bad when it comes to stochastic differential equations, but if you have any recommendations ...
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0answers
40 views

Bootstrapping to Judge the Fit of a Sampled Return Distribution

Consider the following: I have sampled yearly stock returns from a specified distribution. What I want to do is compare how well my sampled distribution fits the empirical distribution of yearly ...
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499 views

Calculating realized volatility of high-frequency data

I am wondering how to calculate the realized volatility. Sources such as say that the realized volatility is the sum of squared log returns sampled at a given frequency. So using 30 minute frequency ...
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44 views

Generate P Value from stationary bootstrap following Politis & Romano (1994)

For my master thesis I am analyzing the performance of trading strategies. For this I need to avoid data snooping by utilising the FDR approach. I follow closely the procedure presented by Bajgrowicz &...
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26 views

Is variation in price-dividend ratios that is attributable to excess returns due to variation in returns or variation in risk free rates?

Cochrane and Fama show that "all variation in price-dividend ratios corresponds to changes in expected excess returns -risk premiums- and none corresponds to news about future dividend growth". Is ...
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31 views

Average return per period for a total loss

Short version: Is there a meaningful notion of "average return per period" for an investment whose value falls to zero over time? Long version: Call the gross return on an investment the ratio $\...
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117 views

Simulating asset returns: (Academia) state of the art

I want to run some simulation studies of (linear) factor models and for that reasons I am wondering about the features such a simulation should contain - every suggestion is welcome, I'll do my best ...
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0answers
421 views

R squared statistic in predictions of returns

My question is related to an article which use predictive linear regression for the stock returns. There is told that R squared statistic of 1.6% is high. How can we measure which R squared is high? I ...
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1answer
415 views

How do you define returns when price may be negative (electricity price)?

I'm trying to model GARCH volatility on electricity prices. Typically the first step is to use prices to obtain log returns to make them stationary. I have encountered a small problem however: ...
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4answers
297 views

How to calculate return on investment for an adjustment to a complex options position?

Say I currently hold a set of options positions with the same symbol/expiry that collectively have a net present value based on the estimated value at expiration of +10. I could also liquidate the ...
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0answers
77 views

Price return or total return for GARCH models

Is there a problem in modeling total return rather than price return when using GARCH models? My line of thinking is that total return includes dividends, which is only a "pseudo-random variable" in ...