7
votes
3answers
635 views

Convexity of BS Equation for Call and Put

I have a simple question. Is the Black-Scholes Formula convex with respect to Implied volatility parameter $\sigma$ (for calls or put) ? When I say Black-Scholes I mean for a call the following one ...
11
votes
4answers
2k views

What books should any quantitative portfolio manager or risk manager have as reference? [closed]

I'm interested to know what are the critical reference texts you rely on for portfolio or risk management? I mean those texts that you come back to because they are chock full of insight and know-how. ...
6
votes
1answer
486 views

How sensitive are vertical spreads to changes in implied volatility?

How sensitive are vertical spreads to changes in volatility / implied volatility in the money, at the money, and out of the money? I'm thinking for 1 point spreads this would be very small / neutral ...
7
votes
2answers
2k views

Which algorithm should I look into to kick off my research in algorithmic trading? [closed]

I have recently undertaken a research into automated algorithmic trading algorithms. The aim of the research is to focus on studying algorithmic trading and trying to improve a basic implementation ...
4
votes
0answers
111 views

single channel for multiple feeds of news? [closed]

I subscribe to various blogs and twitter feeds which I use to parse for keywords. Many times these subscriptions do not include topics which are of the primary concern. Are there multiplex channels ...
6
votes
2answers
5k views

How GARCH/ARCH models are useful to check the volatility?

Below a R code wrote by the moderator @richardh (whom I want to thank again) about ARCH/GARCH models. ...
11
votes
1answer
809 views

Any recommendations for textbooks for an undergraduate course in mathematical finance? [closed]

I'll teach an introductory course on mathematical finance in the near future. The course is intended to entertain and broaden some well-prepared advanced undergrad mathematics majors, some physics ...
13
votes
6answers
21k views

How to check if a timeseries is stationary?

I'm using KPSS Method to check if the series is stationary, but I would also like to use another test to confirm if the series is stationary or not, what method coudl I use?
2
votes
1answer
291 views

Testing a simple stock market trading hypothesis? [closed]

I have a simple stock market trading hypothesis ... Something along these lines: Based on a certain deviation from a stock market index over a 30-day period, 5 certain stocks tend to drift ...
9
votes
2answers
375 views

When is it rational to exercise a bond option early?

Consider american options on interest rate futures such as the 10-year treasury note. When is early exercise optimal?
5
votes
2answers
331 views

What changes to put-call parity are necessary when evaluating american options on non-dividend paying assets?

If an underlying doesn't pay dividends (for our purpose defined as any distribution to the underlying's holder) directly or indirectly (e.g. options on futures) how does put-call parity change from ...
13
votes
5answers
4k views

What exactly is meant by “microstructure noise”?

I see that term tossed around a lot, in articles relating to HFT, and ultra high frequency data. It says at higher frequencies, smaller intervals, microstructure noise is very dominant. What is ...
6
votes
2answers
314 views

What close price to assume for thinly traded stocks?

If a thinly traded stock has not traded for the last few days (volume=0), is it better to use the last known trade price (i.e. roll over last non-missing trade price) or use last known ...
5
votes
5answers
2k views

How to price a calendar spread option?

How do you price calendar spread options, that is, options on the same underlying and the same strike but different times to maturity? Clarification: I'm interested in the pricing of a a CSO ...
1
vote
1answer
400 views

Calculating Theta assuming other variables remain the same

Is there any way to calculate theta at X day in future based solely on knowing 1) Total Current Option Price 2) Days Till Expiration How would this be done? Thank you
6
votes
1answer
2k views

How does Kalman filtering of beta in pairs trading model work in R?

Could anyone show how this could be done in R? The dlm package seems to be a good start, but I can't really find any good examples to learn from. Currently I have ...
1
vote
0answers
53 views

Performance of 1X0/X0 funds vs. traditional benchmarks?

Some years ago there was a proliferation of new products touting the ability of active managers to take short bets on securities: 130/30 funds, 150/50 funds, and the like. What is the empirical ...
6
votes
2answers
325 views

Why is there a price difference between 30 year principal and interest STRIPS?

Sorry if this is obvious, I am not a professional. I like to trade 30 year treasury zero's. I have noticed that the price for a 30 year principal payment is never the same as a 30 year interest ...
7
votes
5answers
2k views

What distribution to assume for interest rates?

I am writing a paper with a case study in financial maths. I need to model an interest rate $(I_n)_{n\geq 0}$ as a sequence of non-negative i.i.d. random variables. Which distribution would you advise ...
4
votes
1answer
151 views

What are some common models for one-sided returns?

One typically models the log returns of a portfolio of equities by some unimodal, symmetric (or nearly symmetric) distribution with parameters like the mean and standard deviation estimated by ...
4
votes
0answers
640 views

Hasbrouck's information share

Given a cointegrated set of price series, I am trying to compute the Hasbrouck's information share, as described in page 12-13 of this article. page 7-8 of this article I have the vector error ...
12
votes
4answers
3k views

How to combine multiple trading algorithms?

Is it possible to combine different algorithms so as to improve trading performance? In particular, I have read that social media sentiment tracking, digital signal processing and neural networks all ...
8
votes
2answers
892 views

time series management system

I'm happy how we store a single time series but we somehow lack a system that glues them all together. I'm talking about a few million time series coming from ~50 data vendors and representing maybe ...
18
votes
3answers
2k views

Tools in R for estimating time-varying copulas?

Are there libraries in R for estimating time-varying joint distributions via copulas? Hedibert Lopes has an excellent paper on the topic here. I know there is an existing packaged called copula but ...
5
votes
1answer
221 views

Options: Vertical LEAPS

I am developing an algorithm and it needs to know what to do in certain market conditions It takes on a Vertical Bull Call Debit Spread on LEAPS that are 12+ months out in the future. This means that ...
6
votes
1answer
615 views

Can options volume have an impact on the price of the underlying asset?

Can options volume affect the underlying asset price indirectly? I know that options buying/selling does not directly affect the price of the underlying asset (rather, the asset price contributes most ...
2
votes
0answers
262 views

TA/Pattern algorithm analysis

I have been building a momentum pattern detection algo (essentially involves fitting curves in overlapping windows at different timeframes) and wanted to see if anyone has done/seen similar work. I ...
4
votes
1answer
220 views

Can binary model lead to non-normal distribution?

If we suppose an instrument goes up or down 1 tick per $\Delta t$ (binary model), its long term distribution will be normal, per the Central Limit Theorem. However, suppose we model as follows: The ...
3
votes
0answers
522 views

What is a good site to download historical stock 'events' such as earnings releases? [duplicate]

Possible Duplicate: What data sources are available online? Earnings and valuation data sources online I'd like to backtest some strategies involving earnings release surprises, as well ...
4
votes
1answer
459 views

Standard Deviations out the money where options will respond to underlying asset price changes

Is there an understood way of determining how far out the money an option can be, before it starts/stops responding to the underlying asset price changes? I usually look at the greeks, gamma, delta, ...
15
votes
6answers
2k views

Can social media be applied to algorithmic trading?

Can social media sites, like Twitter, be used to analyze financial markets for algorithmic trading? How much research has been done on this topic?
8
votes
1answer
643 views

Monte carlo portfolio risk simulation

My objective is to show the distribution of a portfolio's expected utilities via random sampling. The utility function has two random components. The first component is an expected return vector ...
5
votes
1answer
2k views

Correct way to calculate bond's Yield-to-Horizon

I'm creating some .Net libraries for bond pricing and verifying its correctness with a bond pricing excel spreadsheet (Bond Pricing and Yield from Chrisholm Roth) but I believe it calculates the Yield ...
5
votes
1answer
7k views

The difference between Close price and Settelment Price for future contracts

What is the difference between Close price and Settelment Price for future contracts? Is there a define rule for evaluating the settlement price or each instrument/exchange different rules applied? ...
7
votes
2answers
1k views

What does the VIX formula measure and how does it work?

I have read the CBOE's white paper on the VIX and a lot of other things, but I need to honestly say, I don't really get it, or I am missing something important. In semi-layman's terms, is the VIX ...
2
votes
0answers
203 views

Tian third moment-matching tree with smoothing - implementation

I was wondering if someone has an implementation of the Tian third moment-matching tree (http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1030143) with smoothing in code (e.g. c++, vba, c#, etc.)? ...
1
vote
1answer
1k views

What is the difference between STOXX and STOXXE?

Could anyone explain the difference between STOXX and STOXXE? Which is the right index for benchmarking European stocks? Thanks.
8
votes
1answer
454 views

Option Portfolio Risk - Volatility/Skew - practical implementation

I'm trying to improve my methods for calculating real-time US Equity option portfolio risk. My main problem is volatility "stability" across all strikes in an option series. The current ...
8
votes
2answers
2k views

How can I compare distributions using only mean and standard deviation?

I only have means and standard deviations of samples of two random variables. What technique can I use to determine how similar the distributions these describe are? Assume that the values are built ...
1
vote
0answers
715 views

What skills and education are required for HFT? [closed]

I'm a university student and I'm quite interested in High Frequency Trading Algorithms. What courses should I take and what skills should I acquire so that I can work in this field? So far, I've been ...
5
votes
1answer
383 views

How to value a floor when a loan is callable?

Certain bank loans pay a spread above a floating-rate interest rate (typically LIBOR) subject to a floor. I would like to find the value of this floor to the investor. Assume for this example that ...
6
votes
1answer
424 views

How can I simulate portfolio risk (diversification) with a 'Wheel of Fortune' like investment options/returns?

Say I have 6 possible investment options with the following probability of success and the corresponding returns: ...
11
votes
3answers
3k views

How are limit orders selected from the order book?

I'm sure there is a simple answer to this but I haven't had any luck with searches. I'm just wondering when someone places a market order which order(s) from the limit order book are selected to fill ...
1
vote
0answers
327 views

Probability distributions in quantitative finance [closed]

What are the most popular probability distributions in quantitative finance and what are their applications?
2
votes
1answer
226 views

How often do ETF creation units baskets change?

Large institutions can swap baskets of underlying securities for ETF shares that can then be traded on an exchange as part of arbitrage between the price of the basket and the ETF share price. These ...
3
votes
1answer
356 views

Where are creation units baskets for ETFs published?

Where can the specification of a creation unit basket for an ETF be found? This information is needed for calculating the arbitrage possible between the ETF instrument itself and the creation unit ...
2
votes
2answers
3k views

Calculating Portfolio Skewness & Kurtosis

I need to calculate the skewness and kurtosis of 2 asset portfolio, can someone please help me with the formulas and definition of terms? Thank you. I have been using the matrices method and I am not ...
3
votes
3answers
816 views

How to normalize Futures data(different leverage) for cointegration test?

For example I want to construct 2 time series, one for ES and the other for NQ and test for cointegration. ES one point equal to 50$. NQ one point equal to 20$. If I have the following data: ...
10
votes
3answers
2k views

How to cluster stocks and construct an affinity matrix?

My goal is to find clusters of stocks. The "affinity" matrix will define the "closeness" of points. This article gives a bit more background. The ultimate purpose is to investigate the "cohesion" ...
16
votes
5answers
23k views

How to annualize Sharpe Ratio?

I have a basic question about annualized Sharpe Ratio Calculation: if I know the daily return of my portfolio, the thing I need to do is multiply the Sharpe Ratio by $\sqrt{252}$ to have it ...

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