# Tagged Questions

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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### Market returns below risk free rate

Let's say I'm using CAPM to estimate the cost of equity, so I need expected market returns for the calculations. The standard approach is simply to compute arithmetic mean of an index (or rather its ...
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### Comparing a money-weighted return of my own portfolio with a benchmark ETF/other portfolio that is subject to the same cashflows

I am able to calculate the money-weighted return (XIRR equivalent in Excel) of my portfolio. Whilst I can compare this with ‘headline’ returns of ETF’s, Mutual Funds etc, I want to isolate the timing ...
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### 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 ...
105 views

### Rate of Return Required on Buying Stocks with Loan

A bank gives a loan $L$ for $m$ months and the monthly interest rate is $i$. The bank requires monthly installments - which I calculate is $I = \frac{L}{m} + Li$. I use this loan to buy stocks....
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### 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? ...
169 views

### 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 ...
63 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 ...
44 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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### 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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### 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 ...
193 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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### Are the returns in this regression signed returns?

In this paper about combining multiple alphas are the returns signed returns? if not wouldn't they be mean zero? Also, it mentions "realized alpha returns" - does that just mean "realized" past alpha ...
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### student-t asset path

I am trying to simulate an asset path based on a t-distribution. I found a lot of ressources and the fact that it will be difficult to do a path. But now I changed my Geometric Brownian Motion ...
33 views

### R:log return calculation for panel data structure

I have a long form panel for hourly prices of stocks. I want to do log return calculation for this panel data structure. This is sample data: ...
38 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 ...
58 views

### Computing Overall Return for A Single Asset Given Inflows & Outflows

I am creating a portfolio tracking model in Excel and have run into difficulty on how to track the overall performance of a single asset, given that over time more and less capital (shares) has been ...
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### How to calculate cumulative returns with one lag in R

I have a huge data frame with over 1000 column, which are companies(column headers) and in each column I have their estimated return(monthly). The sample period of the data frame in 11 years. I want ...
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### 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 9%...
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### 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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### 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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### 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 ...
75 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 $X_t$ ...
656 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: ...
106 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 ...
88 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 ...
7 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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### Proxying returns for PE and Alternative Investments

The data for these asset classes don't go back very far. Anyone have any methods to proxy their "index" returns for analysis?
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### Rblpapi-Getting different numbers than Bloomberg

I used the following code to pull day to day total returns (net dividends) from Bloomberg Terminal for a list of securities I have. When I compare my data using the GF function in Bloomberg, I am ...
24 views

### Why do people use weighted regression with returns?

For example, by ADV. Intuitively it makes sense that a very liquid high ADV stock should carry more weight, but when I try it with some real life data I get higher standard error than unweighted...is ...
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### Calculating portfolio returns from a dynamic, optimal re-balancing strategy

I am calculating a dynamic strategy with optimal re-balancing as in here. As a result of maximizing the expected utility function I obtain the weight for the risky asset in period $t=0$. All such ...
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While calculating insider abnormal returns, closing prices of securities are generally used. We take the actual ex post return of the security i on time t, minus the expected normal return for the ...
33 views

### returns series for daily strategy

I have a trend following OTC futures strategy which is trading a day-ahead commodity contract. If a signal is triggered the strategy goes long / short into delivery. The holding period of a contract ...
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### Stats and Hedge Ratio calculation questions

I did self-study and learnt some concepts to build a multiple leg spread /portfolio for trading but still confuse in some basic concepts. I will be very thankful if you can answer my couple of ...
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### Relationship between yield spread and stock returns

I would like to ask the following question: Do yield spreads generally have a relationship with stock market indices like the S&P 500? If so, what kind of relationship? I have looked at numerous ...
30 views

### Poor investment preformance in early years impacting on final fund value

I am currently doing some work on the performance of funds across different models of the economy. I am trying to find some work that looks at the impact of poor/lower returns at the early years of ...
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### continuously compounded(cc) return of a portfolio is not equal to the weighted sum of cc return of individual assets

In textbooks it is stated that the continuous compounded (cc) return of a portfolio is not equal to the weighted sum of cc return of individual assets as the log of the sums is not equal to the sum of ...
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### 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, ...
20 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 ...
399 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 ...