4
votes
1answer
4k views

How to replicate a digital call option

Call Option S=100 K=100 Payoff=1 (option is not available) How can i replicate this (payoff) with calls and puts with strike prices with multiples of 5$ Thanks for help
15
votes
5answers
4k views

Free paper trading site with an API

I've got a quanitative trading model I want to test out in the real stock market. Right now, I'm writing some code to pull "live" quotes from yahoo, feed them to my model, and keep track of the ...
-3
votes
2answers
765 views

Market Data For Project

I'm looking to find a service that will allow me to download historical data on stocks, bonds, options, futures, indices, etc and also to pick up new files either on a daily or weekly basis. I've been ...
7
votes
2answers
326 views

Obtaining characteristics of stochastic model solution

I want to use the following stochastic model $$\frac{\mathrm{d}S_{t}}{ S_{t}} = k(\theta - \ln S_{t}) \mathrm{d}t + \sigma\mathrm{d}W_{t}\quad (1)$$ using the change in variable $Z_t=ln(S_t)$ we ...
6
votes
2answers
209 views

Reference material about Quantified Asset Allocation?

I am looking for papers that would describe asset allocation with geometry, group theory, markov chains or things like that. Keeping asset allocation in a range is easy but to keep it more precisely ...
-1
votes
1answer
1k views

Please Explain the Debt to China [closed]

Can someone please explain to me how we are in debt with China? Every weblog, article, journal I read have people in the comments going insane about how we "owe China monies" and "China owns the US" ...
5
votes
1answer
4k views

Annualzing the log of daily returns riddle

Two popular ways to measure returns are Arithmetic returns and Log returns. Let's define arithmetic (simple period) returns as: P(t) - P(t-1) / P(t-1). Let's define log return as Ln( P(t)/P(t-1) ) or ...
9
votes
1answer
2k views

Easiest and most accessible derivation of Black-Scholes formula

I am preparing a QuantFinance lecture and I am looking for the easiest and most accessible derivation of the Black-Scholes formula (NB: the actual formula, not the differential equation). My favorite ...
5
votes
2answers
2k views

Market Value of a CDS

I need to model the market value of CDS in a portfolio. My current approach is to calculate the present value of the future spread payments - does anybody have a better idea to solve the problem? ...
8
votes
4answers
698 views

What are the risk factors in analysing strategies?

What do you think of strategies displayed on timelyportfolio.blogspot.com? I really like the fact that there is some code to reproduce the strategies, but they seem very elementary because he does ...
6
votes
4answers
1k views

Which data service to buy for redistributable data?

This is a follow-up to my previous question regarding anyone whom wanted to 'donate' data. So far no one has stepped up (learning more about buying and selling data, I realize that I'm going to have ...
4
votes
1answer
151 views

Where can I find the standard discount curves for the standard CDS model?

Where can I find the standard discount curves for the standard CDS model? In particular I'm keen to see if ZAR is a supported currency yet...
8
votes
1answer
514 views

QuantLib and exact numerical simulation

I've just downloaded quantlib and started playing around with it, and it looks like it's designed primarily to use Euler discretizations for everything -- so far as I can tell, there's not even a ...
9
votes
1answer
271 views

Is there a standard / methodology to determine and grade the quality of OHLC data?

Inputs are most important to any decision making. For strategy backtesting, the OHLC data is one of the most inputs. So to ensure the correctness and integrity of OHLC data, we have checks on the ...
3
votes
3answers
14k views

How to calculate expected return based on historical data for Mean Variance Analysis

I've recently started reading some books on asset allocation and portfolio theory but I don't work in the field and don't have much knowledge yet. So I've been reading up on mean-variance analysis ...
6
votes
2answers
247 views

How to represent constraints for optimization problems in a data model?

I am at the moment writing a program focusing on asset allocation and I am thinking about how I should represent my constraints in the data model. The first approach that came to mind was to define ...
3
votes
1answer
366 views

FX option history

I am testing my model and I am interested in options prices on EUR|USD for Jan, 2011. The history can be even daily - but I have never had a deal with fx options, so I don't know where start to look ...
16
votes
4answers
9k views

Usage of NoSQL storage in Finance

I am wondering if anyone has used NoSQL (mongodb, cassandra, etc.) to store and analyze data. I tried searching the web but was not able to see if the financial firms had gotten in to using nosql ...
11
votes
3answers
3k views

Papers about backtesting option trading strategies

I am looking for all kinds of research concerning option trading strategies. With that I mean papers that publish results on different option trading strategies properly backtested with real-world ...
1
vote
1answer
282 views

Reading recommendation on using statistical analysis in online fraud prevention [closed]

Can you please recommend good reads on statistical analysis related to online fraud detection and prevention of account abuse?
3
votes
0answers
163 views

Benefits of Diversification and Rebalancing with negatively skewed leptokurtic return distribution?

I am missing tools to investigate this issue. I am trying to solve this question here. What kind of issues should you acknowledge over the naive diversification/rebalancing with normal distribution? ...
14
votes
4answers
5k views

Implementing data-structures in a Limit order book

I'm working on implementing a 'LOB' and I'm being very careful about choosing my data-structures so as to maximize performance. Using F# as an example, I need to consider a List versus Array for ...
10
votes
1answer
438 views

Comparing backtesting returns with real trading returns

I have 10 years of backtested simulated performance of some trading strategy (using historical prices), and N months of actual trading performance. What statistical test can I do find out if I'm on ...
3
votes
1answer
412 views

What research exists regarding implementation of reverse stress testing?

I need to implement a reverse stress testing model (definition here) I have searched around and cannot find anything substantial on the topic. Does anyone know of any good papers/references ...
7
votes
3answers
1k views

Optimality of Kelly criterion in non-normal environment

It is a not so well known fact that the Kelly criterion is only optimal in a nice and well-behaved Merton-world. It is far from optimal when things are getting non-(log)normal (i.e. more realistic!). ...
14
votes
4answers
556 views

Variable Selection in factor models

Let's say you have a dependent variable and many independent variables. What are the preferred metrics for sorting and selecting variables based on explanatory power? Let's say you are not concerned ...
5
votes
1answer
176 views

Quantifying Hedging Error Due To Expiration Day Range?

Let's say I have two call option liabilities that I want to statically hedge with a single call option. Liabilities: Liab_Call_1: Strike: 100 Notional: 1000 DaysToExpiration: 20 Liab_Call_2: ...
16
votes
2answers
808 views

Diversification, Rebalancing and Different Means

I have found many financial authors making generalizations about GM and AM but they are wrong in certain circumstances. Could someone explain their reasoning? My fact why they are wrong is based ...
8
votes
2answers
490 views

Change of measure discrete time

Suppose I have a random walk $X_{n+1} = X_n+A_n$ where $A_n$ is an iid sequence, $\mathsf EA_n = A>0$. How to construct a martingale measure for this case?
11
votes
3answers
5k views

Control for bid/ask bounce in high-frequency trade data?

The bid-ask bounce is the bouncing of trade prices between the bid and ask sides of the market. It introduces a systematic bias to the data which can cause serious problems in analysis. What methods ...
10
votes
3answers
1k views

Is Conditional Value-at-Risk (CVaR) coherent?

When the risk is defined by a discrete random variable, is CVaR a coherent risk measure? I stick to the following definition of CVaR: $$ CVaR_\alpha(R) = \min_v \quad \left\{ v + \frac{1}{1-\alpha} ...
12
votes
8answers
1k views

Measuring liquidity

While liquidity is one of the key figure of financial markets, It seems to be very difficult to measure. Volume is sometime used as a proxy but can sometimes be completly irrelevant. Could you point ...
16
votes
6answers
2k views

How random are financial data series?

Pseudorandom number generators are often tested using e.g. a test suite like Diehard tests or Dieharder. If one would run these tests e.g. on stock market time series or other financial data, would ...
5
votes
3answers
286 views

How does order fulfillment proceed with larger orders?

If a large sell order hits many bids from the book, is the order filled at once? Or is it filled one bid at a time with a chance for any new orders to come in between each trade?
9
votes
5answers
2k views

How can I quantitatively test the validity of momentum indicators?

I am learning about quantitative finance, and I am struck by how different it is from the techniques that make it into magazines and TV, particularly technical analysis. Specifically, if they say an ...
10
votes
3answers
4k views

What is Ito's lemma used for in quantitative finance?

Further to my question asked here: prior post and which left some points unanswered, I have reformulated the question as follows: What is Ito's lemma used for in quantitative finance? and when is it ...
7
votes
1answer
396 views

Do people use unbounded interest rate models, and what alternatives exist?

A simple interest rate model in discrete time is the autoregressive model, $$ I_{n+1} = \alpha I_n+w_n $$ where $\alpha\in [0,1)$ and $w_n\geq 0$ are i.i.d. random variables. When working with ruin ...
-1
votes
1answer
606 views

How stressful is work of quants? [closed]

I would like to know how stressful this work can be and where the stress could come from. How to avoid it? Does it really depend on the company you are working? Is there a way to know in advance if ...
4
votes
1answer
301 views

Divergence issue with my monte carlo pricer…

I am trying to implement a vanilla European option pricer with Monte Carlo and compare its result to the BS analytical formula's result. I noticed that as I increase (from 1 million to 10 millions) ...
6
votes
2answers
510 views

Vanilla European options: Monte carlo vs BS formula

I have implemented a monte carlo simulation for a plain vanilla European Option and I am trying to compare it to the analytical result obtained from the BS formula. Assuming my monte carlo pricer is ...
0
votes
1answer
224 views

What are the rules for quoting option prices on the market?

I have implemented a monte carlo pricer for an option. I simply don't know how many decimals I need to include in the quoted price. Can anyone please provide guidelines?
8
votes
3answers
775 views

Alternate money management strategies to Kelly?

Other than Kelly (or fractional derivatives), are there other money management strategies in wide use among quant funds? Certainly Kelly is mathematically optimal, but perhaps there are other ...
5
votes
2answers
3k views

Who cares about autocorrelation?

There is much in the literature about time-series and the problem of auto-correlation. Unfortunately the issue of why auto-correlation is actually troublesome is glossed over, and methods for testing ...
10
votes
5answers
1k views

Monte carlo methods for vanilla european options and Ito's lemma.

I understand that by applying Ito's lemma to the following SDE $$dX=\mu\,X\,dt+\sigma\,X\,dW$$ one obtains a solution to the above SDE which is as follows: $${X}\left( t\right) =\mathrm{X}\left( ...
9
votes
1answer
417 views

Fixed income modeling

I am currently working on my research paper and trying to explain a two-dimensional variable: volume and instrument of corporate debt financing. Independent variables that I believe must be included ...
2
votes
0answers
621 views

Hobbyist Quants [closed]

I'm interested in investing some money in the stock market, and I have the math background that will make following the math used in quantitative finance possible (with some work). What are the ...
7
votes
1answer
1k views

How should I estimate the implied volatility skew term when calculating the skew-adjusted delta?

I'm trying to come up with the implied volatility skew adjusted delta for SPY options. I'm working with the following formula: Skew Adjusted Delta = Black Scholes Delta + Vega * Vol Skew Slope. I ...
3
votes
1answer
2k views

How to estimate a multivariate GJR or TARCH model in Eviews?

How do I specify the GARCH/TARCH equation in Eviews 6 in the variance regressors frame, if I want to find out whether there are volatilty spillovers from stock markets A and B to stock market C? P.S. ...
6
votes
1answer
1k views

What is the unit of the Distance to Default measure?

I read in a book that the distance to default of a company is "2.978". Can anyone please tell me what is the unit implied behind this measure? Are they "years" for instance?
3
votes
1answer
189 views

Is it possible to estimate the correlation between an equity and its IV, purely from its IV skew?

If we know the options Implied Volatility (IV) skew for an equity, is it possible to calculate the probability of the equity moving, given a move in the IV? We can define IV skew as the difference ...

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