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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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Literature on return sensitivy in respect to: growth, risk and profitability

I am currently writing my master's thesis, wherein I am looking for supporting literature. Specifically, I wanted to know if there had been any research relating to how the: growth, risk and ...
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51 views

In search of nice (approx) function forms of the volatility of cumulative simple returns

Let's consider a period $t\in[0,T]$, and let the simple return over year $t$ ($1\le t\le T$) be $r_t$. Assume $r_t$ are iid normal. The cumualative simple return over the whole period $[0,T]$ is $$R_T=...
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30 views

Calculate New Portfolio Weights Given Today's Returns

I'm looking for a formula to recalculate my portfolio's weights at the end of time $T$ given a vector of the asset weights at $T$, and a vector of returns at $T$ For example: weights = 0.2, 0.3, 0.5 ...
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1k views

How to convert Jensen's Alpha from monthly to quarterly observations

I am being puzzled while calculating jensen's alpha for single stocks. I have monthly returns data and have calculated alpha for each stock on a monthly basis (used 36-month rolling window for beta ...
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4answers
263 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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1answer
68 views

How to calculate annualized simple returns and annualized simple standard deviation given historical daily data

I have daily log returns of my asset that run over several years and I would like to calculate a time series of the Rolling Sharpe Ratio. This Sharpe Ratio asks specifically for: Annualized simple ...
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1answer
73 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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Why results might differ when using risk-adjusted returns

Dependent variable is cumulative returns for a 40-trading-day window after an earnings announcement. Independent variable of interest is a variable related to investor attention around the earnings ...
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2answers
37 views

Short position returns with negative NAV

I am using data on the opening, change and closing of short positions, but I am interested in when the profit/losses are made. Hence, I calculated daily the value of the short position by taking the ...
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1answer
64 views

How to apply derived beta to daily change?

I've taken three months of price return data for two instruments and calculated a $\beta$ between the two using the formula $\beta = \frac{Cov(x,y}{Var(y)}$ with the goal of estimating what the ...
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22 views

What are the implications of the random walk hypothesis? [duplicate]

If RW hypothesis holds true for a particular market or stock, what does it mean in terms of returns and log-returns autocorrelation and predictability? For instance, if prices are RWs, then the ...
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93 views

Cumulative Return on Futures

In my current backtesting, I am using log returns as a proxy for simple returns via the relationship $\ln(1 + r) \approx r$ for small enough r. This gives me wonderful properties like time additivity, ...
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1answer
113 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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1answer
32 views

Differences Between Portfolio Daily Average Returns

I have a doubt about the average daily return for a 2 stock porfolio. I have the data of both stock returns over a 1511 day period. I used 2 approachs to calculate the average return. In the first one,...
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154 views

relationship between volatility and equity premium

I am working on the equity premium. Does anybody know one or two authors who address the relationship between volatility and equity premium? I.e. how does vola influence the equity premium? In ...
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1answer
40 views

When modelling ARCH/GARCH effects, do we use excess returns?

When modelling ARCH/GARCH effects, do we use excess returns? Is it common in the literature to use excess returns when modelling volatility as opposed to raw return data?
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1answer
55 views

What is, here, the relationship between “compound” and “arithmetic return” and “volatility”?

I'm trying to find the exact (ie, not an approximate) relation between the "Compound Return", "Arithmetic Return", and the "Annualised Volatility" as given the assumptions below, and from there the ...
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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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1answer
49 views

Are Kenneth French Research Returns log-Returns?

Does anyone know if Kenneth French's return data on his website is log returns?
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43 views

Market Invariant for Commodity Futures

In the same sense that Meucci describes "compounded returns" as the invariant for equities and "changes in yield-to-maturity" as the invariant for fixed-income, what is the invariant for a commodity ...
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1answer
54 views

Creating value weighted portfolio returns. How to handle missing data?

I am creating portfolios using stock data. I have some missing data for certain months. What is the best way to handle this? Should I treat missing months as a return of zero? I want to try and ...
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2answers
62 views

Daily returns to monthly basic question [closed]

I am currently a little bit puzzled. I am trying to compute the monthly returns from a set of data. ...
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1answer
31 views

Calculating Compound Annualized Rate of Return (Negative Mantissa)

According to Kaufman (Trading Systems and Methods, 2013), the compound annualized rate of return is calculated as follows: $$\mathrm{AROR}_\mathrm{compound} = \left[ \left( \frac{\mathrm{Final ...
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2answers
421 views

Predicting stock returns with GARCH in Python

I have seen this post: Correctly applying GARCH in Python which shows how to correctly apply GARCH models in Python using the arch library. Now I am wondering how I ...
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2answers
95 views

Volatility Index for Industries

The VIX index is based on the S&P, I am wondering the feasibility of creating a VIX index for each of the S&P 500 Industries? Would this even be possible?
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3answers
90 views

Calculating Sharpe Ratio with dynamic position sizing

I'm currently backtesting a mean reversion pairs trading strategy. However, instead of simple long or short trading signals, I'm using multiple "levels", where the further away the spread is from the ...
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1answer
54 views

IRR for irregular cashflow in and out

So I work for a real estate development umbrella company and the developers that work within it borrow money as needed from the company and receive a percentage of the inflows after repayment of debt. ...
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1answer
120 views

Why is there no closed-form equation for XIRR?

Everything I have read about XIRR (e.g., as calculated in Excel) says that there is no closed-form equation and it must be calculated by iterated approximation. Could someone give a brief ...
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2answers
68 views

Calculating excess returns

I would like to know if I am calculating these excess returns correctly. I have here an R dataframe with weekly 3-month treasury bill rates, and the arithmetic ...
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2answers
190 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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1answer
264 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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2answers
211 views

How to calculate “portfolio cumulative return” from individual price data and weight of them?

I'm trying to run backtest in a vectorized way using Python Pandas and need to calculate a portfolio cumulative return from price data and weight of asset data. I ...
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2answers
191 views

Portfolio returns with unequal asset return histories

Using the package PerformanceAnalytics in R, I am trying to calculate the return of an equal-weighted portfolio that contains 30 assets. However, these assets do not have the same starting point in ...
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1answer
48 views

How does inflation impact stock returns? Academic examples

For a literature survey in my university class, I have been asked the question "How does inflation impact stock returns?". After reading some informal articles (in periodicals/ the general internet), ...
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1answer
132 views

What is the Probability Distribution of Max-Drawdown?

How to obtain the probability distribution of Maximum Drawdown, starting from the probability distribution of Daily Returns? Here the details: Suppose I have a time serie of N=1000 daily returns. ...
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1answer
63 views

How to Calculate Stock Return with Stock Bonuses and Rights?

I would appreciate if you could let me know how to calculate stock return for a given company when the company issued bonus shares and rights. If company just paid dividends, stock return would be: ...
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1answer
67 views

What are the units of the variance of returns?

I am a little confused about the units of the variance of returns. One way to compute that would be to look at the units of returns- $$r=\frac{1}{\Delta t}\ln\frac{P(t+\Delta t)}{P(t)}=\text{...
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995 views

Calculating weekly portfolio returns for portfolios sorted by volatility

I am having some issues with finding the right code in STATA for sorting the data into portfolios by historical volatility (standard deviation) of returns and then calculating portfolio returns and ...
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78 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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2answers
83 views

Return on a CDS portfolio

Good evening, I try to compute the performance of a portfolio of a CDS. I already know how to mark-to-market a CDS but typically, the first time you enter a CDS, you invest zero as the mark-to-market ...
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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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1answer
139 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
101 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
165 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 ...
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4answers
7k 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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1answer
202 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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3answers
240 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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2answers
229 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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0answers
37 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
63 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,...