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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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How to compute historical bond drawdowns from yields

I came across a very interesting article which shows a picture with the drawdowns bondholders would have faced by investing in Fixed Income since 1919. However, the picture I get looks a bit ...
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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 =...
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1answer
113 views

How to compute bond drawdowns?

I came across a very interesting article which shows a picture with the drawdowns bondholders would have faced by investing in Fixed Income since 1919. The data is based on the Moody's seasoned AAA ...
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0answers
45 views

Calculate monthly returns for a QUARTERLY and YEARLY rebalanced portfolio in R

I built a minimum variance, equal weight, inverse volatility, and equal risk contribution portfolios based on the same data set of monthly returns for 30 different companies. The covariance matrix is ...
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1answer
145 views

Is positive skewness preferences rational or irrational?

Is positive skewness preference rational or irrational? I have a great trouble understanding why investors should prefer positive skewness over negative one. Sometimes it is argued that preference ...
3
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1answer
119 views

Portfolio forward return

I am working on a project which needs to find portfolio return for the next m months. To begin, let say investor hold a portfolio of $N$ stocks with weight $w_i$ invested in stock $i$, what is the ...
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1answer
59 views

What is the correct way to calculate the annualized returns from rolling windows starting from monthly returns?

What is the correct way to calculate the annualized returns in 5-year rolling estimation windows starting from monthly returns? Is it most correct to first annualize the returns (using the geometric ...
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3answers
225 views

If markets are efficient, why are most returns systematically high?

Suppose markets are perfectly efficient and asset prices reflect all available information. Under this assumption one expects current prices to be non-biased estimators of future prices. It seems to ...
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25 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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1answer
41 views

Variance covariance matrix - number of periods required

Hi I am reviewing the example of Barra risk model in the following document page 23 there is the statement: "Estimating a covariance matrix for, say, 3,000 stocks requires data for at least 3,...
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0answers
50 views

Monte Carlo simulation based VaR: daily vs annual parameters

I am given the initial price, annualized return, and volatility of a security. I am trying to calculate annualized VaR using Monte Carlo simulation approach. To do this I will use the following ...
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0answers
31 views

Calculating Historical Currency Returns for Backtesting

I am trying to calculate a historical daily series of developed market currency returns versus the USD, which can be used in backtesting currency strategies. In real time, one would buy a currency ...
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0answers
30 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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1answer
55 views

Should log returns be used in multilinear regressions?

As the title already says, should log returns, instead of simple returns, be used in regression analysis? In this case, I want to analyse the impact of specific factors (Dividend yield etc.) on the ...
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1answer
87 views

question on XIRR (excel)

Let's say we have an initial investment of -10 on 1/1/2000, and from 1/1/2001 to 1/1/2018 (with annual payments on Jan-1 of each year for 18 years) we get a CF of +2 each year with a final payment of ...
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0answers
31 views

History to use to fit a gaussian mixture distribution?

I have to model the distribution of past returns for several time horizon using a gaussian mixture distribution. I first build my time series of past returns thanks to a rolling sum of my past log ...
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1answer
112 views

Pandas: Close-to-Open return on stocks

I am trying to daily calculate the close-to-open return for j stocks for t days. Is there anyway I can calculate without using a for loop? I have one Dataframe for daily close prices and one for daily ...
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0answers
36 views

Should we use total return or OAS when comparing different bonds?

When comparing different bonds, for example corporate bonds and Treasuries, should we use total return or Option Adjusted Spread if we want to know one's return advantage over another? Some say ...
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0answers
33 views

Changing the frequency of 5-min returns/realized volatility of different products

I stumbled upon a problem of converting the returns and volatility of high frequency data to daily ones. I start with 1-minute returns, then calculate the 5-minute realized variance as the sum of the ...
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0answers
22 views

Intra-period return on a long forward position

Just recall that return on a long forward position over the term of the forward contract from $\displaystyle t=0$ to $\displaystyle t=T$ is \begin{equation} R_{T,0}=\frac{S_{T}-F_{0}}{S_{0}} \end{...
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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 ...
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2answers
191 views

What is the difference between squared returns and variance?

I am trying to calculate 1-day ahead volatility forecasts using the exponentially weighted moving average, however I am unsure on how to read the formula provided within Risk-Metrics Technical ...
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0answers
58 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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1answer
41 views

Returns and Factors for European Market Kenneth French Database

I am planning to estimate Fama-French model for mutual funds with European equity scope. I am thinking about using the European factors from Kenneth French database, which are computed in USD. The ...
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0answers
33 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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0answers
85 views

Cumulative returns of rolling returns

So say I have a series of 252 period rolling simple returns. How can I work out real cumulative returns from that? Is it possible? $$\ \frac{P_{252}}{P_0}-1 , \frac{P_{253}}{P_1}-1, \frac{P_{254}}{...
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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' ...
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0answers
22 views

Subtracting dividend return from return in gross return

Given the following equation: $q = \frac{R - d - c}{u - d}$ this is the derivation of one of the risk-neutral measures used in calculating the fair value of a call option. I have the following ...
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1answer
142 views

Total Return Swaps and Borrow Cost Relationship

If an investor is long a Total Return Swap (TRS), they get the total return (ie, including dividend) performance and usually pay LIBOR minus a spread. This spread should trade ...
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1answer
113 views

Calculating intraday returns from imperfect data in R [closed]

The aim is to calculate minute returns in R. Given is minute price data in a tbl_df. A row was only added if there actually were trades. ...
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1answer
68 views

portfolio returns when portfolio value is negative

I am being very stupid probably but I don't understand the following. Portfolio 1st Jan valued: -$100 A month later Portfolio 1st Feb valued: -$45 I calculate the return of the portfolio as, <...
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1answer
140 views

Empirical duration and convexity for bonds using linear regression

I have a given time series of bond yields from Quandl. From the time series, I have taken a sample to simulate a path of bond yields by Monte Carlo in Python. I have to do the following task: "...
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0answers
81 views

What can cause autocorrelation in higher lag orders of returns?

I am fitting an AR(p) model to the daily time series of S&P500 returns. I have examined AIC/BIC up to 5 lags and both show that model with 2 lags is optimal. However, when I examine the residuals ...
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2answers
181 views

Have any other factor “styles” which explain equity returns been uncovered?

I know this is an inherently broad question, so I will attempt to clarify what I mean by factor "styles". I am not looking for a compendium of "anomalies", per se, but rather for categorical themes ...
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1answer
32 views

Portfolio return through beta [closed]

Considering the beta value of the three assets in my portfolio simulation and the weights of the assets, i have computed the beta of the portfolio itself. How can i calculate the expected return of ...
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0answers
203 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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2answers
204 views

Ways to calculate daily returns

A complete rookie here. I'm currently reading Ernie Chan's 'Algorithmic Trading' and trying to recreate his results with quantstrat in R. Everything seems to be fine except for portfolio return ...
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0answers
31 views

Number of periods needed to have compounded growth of an investment well captured by a lognormal

In many papers I've encountered, the compounded growth of an investment is assumed to be well captured by a lognormal distribution. Is there a minimum number of periods T for which this assumption is ...
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1answer
47 views

Problems with Money Weighted Rate of Return [closed]

The market value of a small pension fund’s assets was 2.7m on 1 January 2000 and 3.1 m on 31 December 2000. During 2000 the only cash flows were: Bank interest and dividends totalling 125,000 ...
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2answers
192 views

Estimation Risk-Neutral Variance of Returns

I am trying to find a method which allows me to estimate $Var_{\mathbb{Q}}\left(\frac{S_{t_{i+1}}}{S_{t_i}}\right)$ where $S$ denotes the price process of an underlying stock (which has to be assumed ...
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2answers
67 views

Intuitive explanation of geometric mean

Suppose that the 10 Year Treasury Yield Rate varies every trading day during the year X1 (which in practice is accurate) what is the intuitive explanation behind calculating the geometric mean using ...
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2answers
91 views

Price is Log-normal distributed, yet the return is non-normal

I have a price series. The natural logarithm of the price shows good normality. As shown in the standardized normal probability plot below: However, by viewing the standardized normal probability ...
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2answers
91 views

Does forecasting asset returns by default assumes non-stationarity of asset returns?

If we assume the assets returns are stationary then the best forecast can only be the mean of the distribution. But if we assume non-stationarity we are forecasting the mean parameter (assuming ...
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1answer
83 views

Is the Fama-French website data free of the serious selection bias pre-1962 where it's tilted toward big historically successful firms?

Fama and French use data starting in 1963 in both 1) "Common risk factors in the returns on stocks and bonds" (1993) and 2) "The cross-section of expected stock returns" (1992) and mention in (2) ...
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1answer
33 views

Why do Fama French's “Common risk factors in the returns on stocks and bonds” use data starting in 1963? Availability or convenience for results?

What is the reason Fama French's "Common risk factors in the returns on stocks and bonds" use data starting in 1963? Was it availability or convenience for results?
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0answers
22 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 ...
2
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1answer
82 views

Simple Compounding vs Continuous Compounding in return series

I'm creating a log price series in MATLAB. This is fairly easy to do using standard functions. Given a price series prices: ...
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0answers
28 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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0answers
149 views

How are Fama French Factor Returns for the last 3 and 12 months calculated?

In the Fama/French data library the monthly research factors for the Fama-French-3-Factor-Model and the Fama-French-5-Factor-Model are presented. I don't see how they are calculating the factor ...
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1answer
85 views

What are necessary adjustments to returns in CRSP?

I guess this is a pretty straight forward and basic question. I am using the entire CRSP universe from 1962-2016 and my goal is to replicate a research paper. However, I realized that the average (...