9
votes
2answers
360 views

local price return and volume relationship

I wanted to see how the stock price and volume relationship is locally. So I tried ranking both the daily return (at day t) and volume (at day t) base on a 30 day rolling window with historical daily ...
8
votes
2answers
3k views

CAPM - Beta of zero and its implications on diversification

I don't know if this is the right forum in which to ask this question, but here goes. I'm working through Luenberger's Investment Science. The form of CAPM model given in the book is $$\bar{r}_i - ...
11
votes
1answer
679 views

Quantitative Analysis Games on Investing?

I have been playing a quantitative investing game (instructions here) that is actually quite interesting, teams have some time to decide their next moves. It requires all kind of knowledge such as ...
9
votes
1answer
417 views

copula-marginal algorithm

has there been any interesting work or advances on the copula-marginal algorithm (CMA) as proposed by Attilio Meucci. I am unable to find anything on the web other then the original article, here is ...
12
votes
2answers
7k views

Cross Currency Swap Pricing in nowadays environment

Multicurve setting has now become the new paradigm for vanilla swap valuation. For the record I give here (without getting into too much details) the methodoloy for pricing Euribor3M swaps in this ...
2
votes
0answers
267 views

vix futures vega per contract and tvix vega per share

How much vega in spx terms (straddle contracts) or dollar value is in 10 vix futures contacts and 10000 shares of tvix
10
votes
3answers
799 views

What is the expected return I should use for the momentum strategy in MV optimization framework?

As all research on the momentum strategies are focused on the indicator, i.e. the entry point, there seems not much discussion on its expected return? Though there are some discussions on the exit ...
4
votes
0answers
476 views

ATM volatility versus OTM volatility and directional standard deviation

The forward instrument vol curve is skewed to the downside (50 delta risk reversal, 25 put, 25 call) were trading several ticks to the put). Is there a smaller standard deviation (in price terms) to ...
9
votes
1answer
740 views

How are Expected Shortfall and Variance related?

I would like to know how Expected Shortfall $SF_\alpha$ and variance $\sigma^2$ are related. If I follow what Aaron Brown answered in this post, when the underlying distribution is Normal with ...
3
votes
1answer
443 views

How can I get intra-day prices via API into R?

I am able to retrieve prices for IVV using this code library(quantmod) getSymbols("IVV") names(IVV) [1] "IVV.Open" "IVV.High" "IVV.Low" "IVV.Close" ...
2
votes
3answers
726 views

Can I perform an asset allocation optimization if assets are perfectly uncorrelated?

(Here is a link to the original post) I received this interesting problem from a friend today: Assume that you are a portfolio manager with $10 million to allocate to hedge funds. The due diligence ...
4
votes
1answer
395 views

Pricing a bond future with a basket of deposit futures

I have a future on a two-year UK government bond that I wish to price. The bond future expires in 3 months. I was thinking of building a portfolio of 3-month deposit futures (1 x 3 month deposit ...
10
votes
1answer
3k views

Estimation of Geometric Brownian Motion drift

One can find many papers about estimators of the historical volatility of a geometric Brownian motion (GBM). I'm interested in the estimation of the drift of such a process. Any link on this topic ...
4
votes
1answer
339 views

Is there any measure that is a non-trivial combination of VWAP and TWAP?

Is there any measure that is a non-trivial combination of VWAP and TWAP? For example: \begin{equation} \textrm{VTWAP} = \frac{\textrm{VWAP}+\textrm{TWAP}}{2} \end{equation} I'm thinking about ...
4
votes
1answer
445 views

What's the connection between implied vol curve of SPX and SPY?

I think there should be an obvious connection of the two implied vol curves from the SPX and SPY markets since the underlying of SPX is SP500, while the underlying of SPY is a ETF which tracks sp500 ...
2
votes
2answers
507 views

How to calculate cumulative loss from two factors that have negative correlation?

I went through the most advanced books on statistics and still can't find an answer. There is a well known formula for combining volatility of two correlating variables, but what about adding the ...
5
votes
1answer
482 views

Why are there so many different ways of calculating historical volatility

There appears to be several ways of calculating volatility: Price volatility (of which there are several variants): close to close high low range average of open, high, low and close Log returns ...
6
votes
1answer
821 views

Price volatility instead of return volatility for spread option parameter

I overheard someone at work today talking about a commodity spread option pricing model and he was asking our quant if he should use price volatility instead of return volatility as the volatility ...
8
votes
5answers
1k views

Is Visual Basic a fast enough for millisecond orders

I have an API that for an order routing platform that is in visual basic. The maximum frequency or orders to exchanges will be milliseconds, where the underlying systems are expected to be able to ...
5
votes
1answer
111 views

How to remove the risk element from a set of fixed rate mortgage offerings?

Kept waiting in the bank yesterday, with no paint to watch dry, I found myself staring at the mortgage rates. (These are all annual interest rates): Variable: 2.475% 1 year: 2.90% 2 years: 3.05% 3 ...
6
votes
2answers
596 views

How to minimize the difference between a parametric VaR and a MC-VaR with lognormal assumption?

Given that we want to find the Value at Risk for a portfolio of stocks only, there are two main methods to proceed. In the problem, we also assume that stocks follow a geometric Brownian motion. A ...
8
votes
1answer
655 views

Where can I find data on the interbank lending market?

Where can I find disaggregated interbank lending data (i.e. bank A lends to bank B x money at y rate)? I could only find data on interest rates. I would accept LIBOR market data as well as any ...
6
votes
3answers
12k views

Calculating log returns using R

I am trying to calculate the log returns of a dataset in R using the usual log differencing method. However, the calculated data is simply a vector of zeroes. I can't see what I'm doing wrong. Here ...
7
votes
2answers
4k views

What causes the call and put volatility surface to differ?

I currently have a local volatility model that uses the standard Black Scholes assumptions. When calculating the volatility surface, what causes the difference between the call volatility surface, ...
9
votes
2answers
724 views

How to compute performance attribution between daily rebalanced strategies?

I have a daily rebalanced portfolio of several strategies. After one month, I now want to attribute the performance to the different strategies. There are several ways to do it. For instance one ...
9
votes
3answers
1k views

Maximization of CARA utility function: unique solution with an unbounded parameter?

An investor at time $t_0$ can invest his wealth $w_0$ in a risky asset $x$ for an amount $a$ and the remain part in the riskless asset $w_0-a$. At the end of the period $t_1$, the investor will ...
5
votes
1answer
1k views

How to simulate correlated assets for illustrating portfolio diversification?

I have seen multiple instances where people try to explain the diversification effects of having assets with a certain level of correlation, especially in the "most diversified portfolio" literature. ...
6
votes
1answer
1k views

What is the best way to forecast prepayment rate in an emerging market mortgage loan portfolio?

I constructed a model to forecast the prepayment rates for a mortgage loan portfolio (of mortgages in an emerging market) using probit regression on factors such as loan-to-value, PTI, time from ...
7
votes
2answers
703 views

How to manage equity portfolio risk intraday?

Lets assume that I have an equity strategy that generates signals intraday to buy and sell. I run this strategy across the SP500 names. Now within my strategy I want to incorporate a method to help me ...
2
votes
1answer
1k views

Home/hobbyist quant trading - possible to profitable or just an intellectual hobby? [closed]

I've been researching algorithmic (non discretionary) trading at the several-day to month timescale, i.e. not HFT. I am not interested in voodoo i.e. no technical analysis, I am looking for solid ...
27
votes
12answers
12k views

Why does the minimum variance portfolio provide good returns?

I've been a researching minimum variance portfolios (from this link) and find that by building MVPs adding constraints on portfolio weights and a few other tweaks to the methods outlined I get ...
12
votes
3answers
6k views

R: How feasible is it to store — and work with — tick data in a database connected to R?

I'm looking to convert some tickdata .csv files into a database on a local disk and then use R to call the data and do my various analytics and modelling. What are some best practices / ...
-1
votes
2answers
897 views

A gentle introduction to cointegration [duplicate]

Possible Duplicate: What is the intuition behind cointegration? Although having a postgrad degree in mathematics, I haven't used any maths 'in anger' for quite a few years now, so I am ...
2
votes
1answer
413 views

Is there a measure for the 'degree' of cointegration

Is there a standard (or maybe even intuitive?) way of ranking pairs of cointegrated time series so that one could make statements like the following: ...
9
votes
1answer
319 views

What drives changes in implied volatility on ETFs/ETNs?

I thought implied volatility, as well as the VIX, primarily increase due to increases in the underlying asset's volatility, as well as the options themselves being bid up because more people were ...
6
votes
1answer
690 views

How to run an asset replication regression?

I am doing extensive research on portfolio replication and was hoping to get some help with some problems I am encountering. I am running a regression between 2 assets that I believe replicate ...
2
votes
3answers
984 views

How to model the daily return using intraday data?

Say, I have hourly returns $r_1,r_2,...,r_T$, where $r_t$ = $ln(p_t)$ - $ln(p_0)$ for $t = 1...T$. So what is the value of $E[r_t]$? Would $r_T$ be the $\prod{(r_t)}$? Basically $r_t$s are the ...
7
votes
4answers
2k views

How to obtain true probabilities from Black-Scholes?

How to obtain true probabilities from Black-Scholes option pricing equation? Suppose, that we know risk adjusted discount rate for the underlying asset (the drift term in the physical measure) and ...
0
votes
1answer
1k views

what is the best way to calculate the probability of an equity option ending in the money?

Given historical implied volatility and all other know variables (stock price, option strike price, option expiration date, dividend rate, interest rate) what is the best way to calculate the ...
6
votes
1answer
139 views

Should we apply practical constraints on the distribution of monte carlo paths?

to limit interest rate paths to a 'reasonable' range (if we could define reasonable). Now we calibrate log-normal skew and mean reversion monthly to robust basket of atm swaptions and in and out ...
15
votes
2answers
1k views

From a high frequency point of view, with a price prediction and assuming infinite leverage, how do you determine optimal trade size?

I have read about something like Kelly criterion for long term expectation maximization assuming a fixed starting bankroll. But if one can assume unlimited leverage, and one has a signal for a price ...
6
votes
2answers
492 views

Demonstration of Ito's correction term/lemma in binomial tree

I am preparing an undergraduate QuantFinance lecture. I want to demonstrate the ideas of Ito's correction term and Ito's lemma in the most accessible manner. My idea is to take the "working horse" of ...
10
votes
8answers
2k views

Has spectrum analysis ever been used successfully to analyse historical price data?

Spectrum analysis is often used to analyse waveforms. A common configuration, for example, is to create a graph where X is time, Y is frequency, and the brightness of each position represents ...
1
vote
0answers
398 views

How to calculate time-segmented volume? [closed]

amibrokers has this calculation for TSV: ...
5
votes
1answer
475 views

What is the correct procedure to choose the lag when preforming Johansen cointegration test?

When preforming Johansen cointegration test for 2 time series (the simple case) you need to decide the lag you want to use. Doing the test for different lag levels returns different results: for some ...
5
votes
1answer
261 views

RMT (Random Matrix Theory) issue with callibrating MP distribution -

I am seeing an issue when callibrating an MP distribution. Assume a log return series for the SP500 with the following dimensions dim(xts.sp500.ret.stocksonly) ==> [1] 1133 478 ...
7
votes
3answers
716 views

Does random matrix theory (RMT) for returns' correlation matrices apply if there are high correlations?

Steps to replicate: Take the correlation matrix of a sample of stocks in the SP500, or a set of ETF's that are include some that are highly correlated (0.7 and above). Problem observed: I observe ...
10
votes
1answer
1k views

How to use macroeconomic indicators for long/short trading strategies?

I am trying to understand how to use macroeconomic data in my trading. I understand that using such data could be used to gauge an overall view of the market and how it's doing as a whole. I have been ...
5
votes
1answer
493 views

Can duration gap analysis be applied to mortgages?

Can a mortgage loan be treated like a bond and its duration calculated using the bond duration formula? More precisely, can I calculate the loan portfolio duration for duration gap analysis, with ...
3
votes
1answer
877 views

How does “time segmented volume” differ from on-balance volume?

Worden Brothers Inc. advertise a proprietary indicator called Time Segmented Volume. This gizmo seems closely to resemble On Balance Volume. Is there any reason to think that TSV might yield a more ...

15 30 50 per page