14
votes
5answers
1k views

George Soros models

Mr. Soros in his books talked about principles which are not used by today's financial mathematics — namely reflexivity of all actions on the market. Simply it can be given by following: ...
6
votes
1answer
706 views

Modern problems in financial mathematics

I have a MSc degree in the area of Financial Mathematics, but I am doing research now in other field of stochastics. Could you please tell me about the most important problems of (stochastic) ...
4
votes
1answer
314 views

An equation for European options

So, any European type option we can characterize with a payoff function $P(S)$ where $S$ is a price of an underlying at the maturity. Let us consider some model $M$ such that within this model ...
11
votes
3answers
2k views

Role of skewness in portfolio optimization?

What is the role of skewness in portfolio optimization?
5
votes
3answers
701 views

What are the limitations of brownian motion in finance? [duplicate]

What are the limitations of brownian motion in its applications to finance?
4
votes
1answer
270 views

Did farmers really buy options on the CBOE? [closed]

I recently become interested in finance. Many books discuss options as simple examples of derivatives. I also read some "popular books". I read in "The Poker Face of Wall Street" that almost no ...
5
votes
3answers
657 views

Financial Products Markup Language

I am asked to map financial products into XML. It can be in any format. I know there is an open specification FPML. Is that worth to adopt FPML rather than my own standards? Also, how common FPML is ...
8
votes
3answers
7k views

Trading C++ Libraries

Are there any free c++ libraries that would have some of the functions that would be used in developing a trading strategy. For instance, calculating drawdown, Volatility Forecasting, MAE, MFE....etc. ...
14
votes
7answers
2k views

Good quant finance jokes

Have a good quant joke? Share it here. The principle "should be of interest to quants" trumps. I would be particularly keen to learn jokes which involve some nontrivial finance/mathematics. I am ...
15
votes
3answers
3k views

Can the concept of entropy be applied to financial time series?

I am not familiar with the concept of entropy for time series. I am looking for good reference papers and examples of use.
9
votes
3answers
780 views

better estimator of volatility for small samples

One commonly used sample estimator of volatility is the standard deviation of the log returns. It is indeed a very good estimator (unbiased, ...) when the sample is large. But I don't like it for ...
7
votes
5answers
936 views

Trading a stock (or other asset) based on Bollinger Bands.

One way investors analyze stocks is on a technical basis. Looking at Bollinger Banks (20 day moving average +- 2 standard deviations) is one of the most popular technical tools. Some stocks trade ...
4
votes
4answers
496 views

Given two portfolios with identical correlation matrices, which one will have a better risk/reward ratio?

I have one portfolio with high beta stocks, and one with low beta stocks. Is it better to have higher expected return with high volatility, or medium expected return with medium volatility? (All from ...
5
votes
2answers
615 views

Need historical prices of EUREX American and European style options

I am trying to get the historical price data on selected American and European style options at EUREX. I am not familiar with their system. Does any one know whether they have something like yahoo ...
23
votes
6answers
6k views

Time-series similarity measures

Suppose I have two time series $X$ and $Y$ of stock prices. How do I measure the "similarity" of $X$ and $Y$? (I'm being deliberately vague as I don't have a particular application, and I'm curious ...
3
votes
1answer
637 views

Few questions on Binomial-Lattice Option Valuation

I have just started applying Binomial-Lattice, however I am yet to fully understand few things. My questions are: What is the concept of working backward (left side) from the values in terminal ...
3
votes
2answers
907 views

Risk neutral probability in binomial lattice option coming greater than 1…what's wrong?

I am substituting reasonable values in the below fomula (like r=0.12, T=20, nColumn=16, sigma=0.004)...why is probability coming out to be greater than 1? Any help? Thanks! ...
7
votes
4answers
847 views

Software for decomposing structured products into plain vanilla products

Nowadays structured products (or packages) with complex payoff diagrams are omnipresent. Do you know of any software, add-ons, apps, code whatever, that enables you to enter a payoff diagram or a ...
21
votes
8answers
3k views

How to design a custom equity backtester?

I was thinking about writing my own backtester and I realize I have to make some assumptions. So I was hoping I could post what I am planning on doing and hopefully some of you can give me some ideas ...
10
votes
5answers
1k views

How to conduct Monte Carlo simulations to test validity of Black Scholes for a specific option?

In reference to the original Black Scholes model, what approach is best to test the model in a rigorous way? Is there a standard approach that can accomplish this in a reasonable amount of time? ...
7
votes
3answers
803 views

DSP: stationary non-periodic signal: what's the best causal technique?

This is a bit DSP-related: so if you turn your non-stationary time series into a stationary process, you'll probably see that it is not periodic.. This is an issue for Fourier-based techniques because ...
-3
votes
1answer
297 views

Convert returns into an index? [closed]

What's the right way to take a series of returns and convert it into a continuous index? Let's say I want to show the performance of a strategy starting from 1, and adding on returns so that I get an ...
10
votes
3answers
5k views

What are the main limitations of Black Scholes?

Pls explain and discuss these limitations, and explain which models can I use to overcome these limitations. Alternatively, provide examples of how to modify the original Black Scholes to overcome ...
3
votes
2answers
861 views

Covariance for arbitrarily large portfolios

I am implementing a method in Java to calculate the variance, covariance, and value at risk for a portfolio, which should be flexible for use with any number of assets in a portfolio. I am struggling ...
5
votes
2answers
790 views

Credit Valuation Adjustments — computation issues

I'm currently working on my Masters project related to accelerating Greeks computations for CVA on mixed interest rate portfolios. I would like to know about the status of technology for CVA and its ...
2
votes
2answers
786 views

What are binomial trees and how are they used? [closed]

What are the applications of binomial trees?
12
votes
4answers
6k views

Is statistical arbitrage on FX possible?

Do you know of any papers which consider pairs trading (or statistical arbitrage) on foreign exchange? I couldn't find any. I asked this question on several forums and got no reply. Thus I guess this ...
4
votes
2answers
785 views

Heuristics for calculating theoretical probabilities of being ITM at time T for listed options

I'm looking for a heuristic way to calculate the probabilities of being in the money at expiry for non-defined risk options combinations (listed options). I use delta as a proxy for this probability ...
9
votes
1answer
294 views

Cost function for hedging portfolio

Let's say I am hedging an exotic instrument $E$ with $N$ liquid instruments $L_i$, each of which has an associated hedging ratio $R_i$ and a bid-ask spread $\delta_i$ (per dollar of notional). What ...
4
votes
2answers
917 views

How to derive appropriate volatility for a binary option (with strike/term) from market data?

I am valuing a binary FX option (european) with a defined strike and term (2Y). I'm using a closed form solution based on Black-Scholes framework. How can I derive the appropriate volatility to use ...
8
votes
4answers
2k views

How to perform risk factor calculation?

I am studying Arbitrage Pricing Theory (APT) and I have a question about calculating factor exposures. Assume: \begin{equation} r = \beta_1r_1 + \beta_2r_2 + ... + \beta_kr_k + r_e \end{equation} ...
4
votes
2answers
335 views

Commodity hedging in non-financial companies - any literature available?

Seems like the vast majority of all the Hedging literature is dedicated to the speculative side of it. I am searching for quality papers that deal with the link between financial and physical markets ...
0
votes
2answers
1k views

Ultra-High Frequency Trading Help [closed]

Im putting together an Ultra-High Frequency desk and need to answer the following questions for ordering some rack servers to process about 2 GB of data per second. If anyone has worked at a HFT desk ...
11
votes
7answers
878 views

Keeping a track record honest

I want to start a blog/newsletter and maintain a track record of trades I recommend. I have a never-expiring demo account for this purpose. How do I keep this track record "honest"? Three months ...
6
votes
10answers
2k views

Using Black-Scholes equations to “buy” stocks

From what I understand, Black-Scholes equation in finance is used to price options which are a contract between a potential buyer and a seller. Can I use this mathematical framework to "buy" a stock? ...
7
votes
4answers
1k views

Can the futures market's open interest predict commodity, treasury, and equity returns?

I came across this article and became curious. Can the futures market's open interest really predict market action?
4
votes
1answer
2k views

Mersenne twister random number generator in Java for Monte Carlo Sim.

I am using the Mersenne twister random number generator in Java for a Monte Carlo Simulation. I need a uniform distribution of values between -1 and 1. My code is below (I am importing ...
9
votes
5answers
1k views

When to shut down a trend following strategy?

Suppose I have trend following strategy(on close to close data) that is not getting acceptable returns for some time. When should I start thinking about shutting it down?
17
votes
3answers
2k views

How to forecast volatility using high-frequency data?

There is a large literature covering volatility forecasts with high-frequency tick data. Much of this has surrounded the concept of "realized volatility", such as: "Realized Volatility and ...
11
votes
3answers
2k views

Value-at-Risk of the sum of two dependent lognormal random variables

Hy I posted this question first at mathflow.net they suggested me this page, which I was not aware of. Question: Let $(X_1,X_2)$ be a multivariate normal random vector ($X_1$ and $X_2$ need not be ...
13
votes
1answer
407 views

What should be considered when selecting a windowing function when smoothing a time series?

If one wants to smooth a time series using a window function such as Hanning, Hamming, Blackman etc. what are the considerations for favouring any one window over another?
3
votes
2answers
366 views

Bank of England base rate feed

I am implementing a program in Java that needs the Bank of England base rate. Rather than the user inputting this into the system, I have heard that there is a way to get a live feed of the base rate ...
7
votes
1answer
4k views

Time Series Regression with Overlapping Data

I am seeing a regression model which is regressing Year-on-Year stock index returns on lagged (12 months) Year-on-Year returns of the same stock index, credit spread (difference between monthly mean ...
6
votes
3answers
7k views

Are public historical time series available for ratings of sovereign debt?

The nice list of free online data sources Data sources online does not mention any data from ratings agencies. Are historical time series available for sovereign credit ratings (other than as ...
8
votes
2answers
2k views

Cluster analysis vs PCA for risk models?

I built risk models using cluster analysis in a previous life. Years ago I learned about principal component analysis and I've often wondered whether that would have been more appropriate. What are ...
9
votes
2answers
648 views

Is Walk Forward Analysis a good method to estimate the edge of a trading system?

Do you think Walk Forward Analysis is a good method to estimate the predictability or edge of a trading system? Are there similar methods to know (estimate) how much alpha can capture an algo (in the ...
4
votes
1answer
170 views

Any example code implementing the Shelton CDO 'Back To Normal' Paper?

I'm having a hard time getting my expected loss calculations to tie out with the standard recursion method when implementing the proxy distribution algorithm described by the Back To Normal CDO paper ...
5
votes
3answers
2k views

Longstaff Schwartz method

I try to implemente the LSM method with this algorithm but my price is always too low. By example for an American put option with the following parameters: S0 = 36, Strike = 40, rate = 6%, T = 1 ...
40
votes
11answers
15k views

Switching from C++ to R - limitations/applications

I've only recently begun exploring and learning R (especially since Dirk recommended RStudio and a lot of people in here speak highly of R). I'm rather C(++) oriented, so it got me thinking - what are ...
6
votes
1answer
182 views

Data on US bankruptcy rate vs. standard valuation ratios

Does anyone know of any research or data on US corporate bankruptcy rates as a function of standard valuation ratios, such as P/B, P/E, etc.? I'm trying to adjust the results of backtests to account ...

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