6
votes
1answer
226 views

What are some quantitative ways to obtain the view confidences in Idzorek's version of Black-Litterman?

I'm using Idzorek's version of the Black-Litterman model for estimating asset returns. Idzorek's version bypasses the need to estimate directly the covariance matrix $\Omega$ of errors in the various ...
4
votes
2answers
216 views

Market order quantity greater than quantity of the inside quote at the exchange

If I send a market order to an exchange with quantity greater than the quantity of the inside quote at this exchange, and if another exchange has quantity to fill the residual portion at NBBO, will my ...
8
votes
1answer
606 views

Kalman Filter Vs Hough Transform

These questions are in regards to the Kalman filter and the Hough Transform. What are the Pros and Cons of using each method? In what situations is it better to prefer one over the other?
7
votes
3answers
1k views

Limit order book size

I am trying to write a highly optimised limit order book and I wondered what sort of size I can expect for: Range of limit prices Number of orders at each limit price I am developing custom ...
5
votes
1answer
451 views

Modified bisection formula for deriving implied volatility for a dividend paying american option

I am trying to work out the formula for calculating the implied volatility of an american option on a stock paying dividends (discrete payments or annualized yield). On page 171 of Haug The ...
12
votes
2answers
1k views

Is there an open source alternative to Reuters Kondor+?

Basically, I'm looking for a system which have trading(in a demo account), book keeping, profit/loss and risk calculation capability across different asset classes such as bond, repo, equity, foreign ...
3
votes
2answers
826 views

How to calculate COMPOSITE underlying implied volatility from ATM (near month) option prices?

I am trying to calculate the implied volatility of an underlying given observed prices of call and puts. There are two scenarios: The ATM strike is pinned by the market (i.e. underlying level == ...
4
votes
2answers
556 views

SKEW and VIX relations?

My question is about the CBOE published index VIX and SKEW. To start with, I consider working on the variance dynamics. I calibrate the market data (such as VIX and VIX futures) into the Heston ...
1
vote
2answers
456 views

One bar look-ahead backtesting

Suppose you backtest the EUR/USD (or GBP/USD) forex pair with this system on the 1min timeframe: 1) Enter the market at any time n: go long if the "future" bar n+1 has a higher close as the close ...
10
votes
1answer
384 views

Creating an n-factor Certainty Equivalent Discounting Formula

Brealey & Myers provide a certainty-equivalent version of the present value rule, using CAPM, as follows: $$PV_0=\frac{C_1 - \lambda_m *cov(C_1, r_m)}{1 + r_f}$$ $PV_0$ - Present Value of cash ...
7
votes
1answer
336 views

Simulating the joint dynamics of a stock and an option

I want to know the joint dynamics of a stock and it's option for a finite number of moments between now and $T$ the expiration date of the option for a number of possible paths. Let $r_{\mathrm{s}}$ ...
5
votes
5answers
934 views

How to fit probability density function from sample moments?

If I have calculated the sample mean, variance, skew and kurtosis of a set of data, how would I go about fitting a probability distribution to match these moments (i.e. choosing a probability ...
7
votes
1answer
3k views

What are the main differences between discrete and continuous time models when modeling asset price dynamics?

My intuition says that both approaches, discrete time models and continuous time models will be models (i.e. approximations) of reality. Therefore it should be possible to develop useful models in ...
-4
votes
1answer
3k views

How to annualize log returns? [closed]

I have daily log return from 01.01.2011 to 10.28.2011 and I'd like to compare the total return of that 10 months period (which is of -7.093%) to annual log returns of previous years. I know it's ...
3
votes
1answer
261 views

How to use volatility to assess the accuracy of a stock market model?

Background: For a dissertation I have a multi-agent stock market model that I am using to assess different mechanisms for producing particular dynamic regimes. A key point is assessing how closely it ...
2
votes
0answers
126 views

Calculating stock weight for SEC13F filers

I am trying to evaluate weight of stocks in portfolio for an investor. For this purpose I use SEC13F filings for particular quarters and historical prices from Yahoo. There are stocks in portfolio ...
4
votes
1answer
424 views

Discrete time Ho lee model

This is my first question in this forum. I am stuck with my current testing the Ho Lee model. I am having difficulty computing the perturbation factor $\Delta$. The ho lee model should be completely ...
9
votes
2answers
347 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 ...
7
votes
1answer
2k 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
637 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
383 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 ...
11
votes
2answers
6k 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
257 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
725 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
421 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
604 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
434 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
625 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
361 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
2k 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
323 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
399 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
417 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
443 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 ...
5
votes
1answer
623 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 ...
7
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
102 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
540 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
514 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 ...
5
votes
3answers
8k 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 ...
6
votes
2answers
3k 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
648 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
902 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
822 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
810 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
627 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 ...
26
votes
12answers
10k 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
5k 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
807 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 ...

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