5
votes
1answer
792 views

Risk-neutral pricing in incomplete markets

I know that in order to use the risk-neutral valuation principle, that is, pricing options as their payoff function under a risk neutral measure, one has to have a complete market. But in the ...
4
votes
1answer
265 views

generalized black scholes

I understand how to derive the black scholes solution if $dS_t$ = $\mu S_tdt$ + $\sigma S_tdW_t$ and r is constant. The solution is c(t, x) = $xN(d_{+}(T - t), x))$ - K$e^{-r(T - t)}N(d\_(T - t), x))$ ...
3
votes
1answer
77 views

Coupon bond pricing problem with reinvestment

The three year bond has face value USD 100, and pays USD 5 coupons annually, the last one at maturity. Assume that the continuously compounding rate is 7%. (a) Find the price of this bond. (b) ...
3
votes
1answer
432 views

Option prices in Bates SVJ model?

In this [post] discussed the European put and call price formulas under the Heston Stochastic Volatility model. There exists an important extension of Heston model to include diffusion jumps, known ...
3
votes
1answer
80 views

Estimating $\mu$ - only increasing $T$ improves estimate?

Assuming an asset price $S$ follows a geometric Brownian motion (GBM), the log returns $R$ are distributed as $$ R_i := \log\left(\frac{S_i}{S_{i-1}}\right) \sim \mathcal{N}\left(\left(\mu - ...
3
votes
2answers
181 views

Inconsistent Definition of Arbitrage in Bjork?

In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ what seems to be 2 inconsistent definitions of arbitrage: The first definition is for the single period Binomial model The ...
3
votes
1answer
303 views

How to apply Levenberg Marquardt to Max Likelihood Estimation

In this paper on p315: http://www.ssc.upenn.edu/~fdiebold/papers/paper55/DRAfinal.pdf They explain that they use Levenberg Marquardt (LM) (along with BHHH) to maximize the likelihood. However as I ...
3
votes
2answers
412 views

Forcing price to rise or fall by high volume buying and shorting

Is there an a name for the approach / strategy to artificially move a price either up or down by high volume buying or shorting. ie. Buying a large (say 5%) of a stock very quickly, thus ...
3
votes
1answer
1k views

Modelling VIX Futures for risk management

I would like to model VIX futures. The aim is not pricing but risk management. Thus I want to get risk measures like volatility right and be able to accurately calculate correlations when the VIX ...
3
votes
3answers
2k views

What are the limits of bond portfolio immunization against interest rate changes?

I'm currently reading through an article on bond portfolio immunization against changes in the interest rate. I learned that the immunization can be done against instant changes in interest rate ...
2
votes
3answers
7k views

Early execise of American Call on Non-Dividend paying stock.

Let us consider an American call option with strike price K and the time to maturity be T. Assume that the underlying stock does not pay any dividend. Let the price of this call option is C$^a$ today ...
1
vote
1answer
281 views

Get distribution for aggregate loss using Monte Carlo

I am given two data sets containing dates and losses (in some currency). Given a distribution for the amount of losses and an (a,b,0) distribution for frequency of losses, how can I use Monte Carlo ...
1
vote
1answer
1k views

Baye's rule for conditional expectations (Proof review)

The Baye's rule for conditional expectations states $$ E^Q[X|\mathcal{F}]E^P[f|\mathcal{F}]=E^P[Xf|\mathcal{F}] $$ With $f=dQ/dP$ - thus being the Radon-Nikodyn derivative and $X$ being ...
1
vote
1answer
1k views

Implied state price density (Question 1 - derivation of the formula)

I came upon the term "implied state price density" in a couple of papers. As far as I understand the concept one basically tries to extract the "pricing density" from the market data. For the sake ...
1
vote
1answer
659 views

Two prices pass the cointegration test but there is a trend. How to check stationarity?

Below is a spread built with two ETFs that pass the cointegration test i.e. Adjusted Dickey Fuller, adfTest(type="nc") in R's fUnitRoots with a p-value < 0.01. The red line is the trendline. What ...
5
votes
2answers
652 views

on “recovering probability distributions from option prices” - how to subtract influence of stochastic volatility?

This is based on a 1995 paper by Rubinstein/Jackwerth by the above title where the authors produces a distribution of stock prices inferred from option prices. But their approach only produces a joint ...
4
votes
2answers
424 views

Lower bound of ITM Calls when computing Implied Volatility

Assuming the Black Scholes model and pricing formula of a European call option. Then, if the call is ITM, i.e. if $ln(\frac{S}{K})>0$, the $d_1$-term will go towards infinity as $\sigma$ goes to ...
4
votes
1answer
281 views

Does Matlab support exogenous variables in GARCH models?

Is it possible to introduce dummy variables or explanatory variables in the GARCH variance equation (garchset and garchfit) in ...
4
votes
1answer
473 views

What is the relative performance of hard-to-borrow securities?

Is there any research on the equity return performance of hard-to-borrow securities? Many shops will simply screen for hard-to-borrow and eliminate these names from their short book. Anecdotally, ...
3
votes
3answers
607 views

Any package to run VAR-GARCH or VECM-GARCH models in R?

I need to estimate a multivariate VECM-GARCH (or simply VAR-GARCH) in R. Browsing on the internet, I did not find anything yet. Do you know if such kind of packages exists? Please, note that a BEKK ...
3
votes
1answer
235 views

What are $d_1$ and $d_2$ for Laplace?

What are the formulae for d1 & d2 using a Laplace distribution?
3
votes
1answer
224 views

What is the difference between these two optimization procedures?

In this portfolio optimization utility (and others), mean return, standard deviation and correlation among assets are required inputs. http://finance.wharton.upenn.edu/~stambaugh/portopt.html At ...
2
votes
1answer
129 views

Extended Hull White Interest Rate Model for Zero Coupon Bond

Please taking the following SDE dr = u (r; t) dt + w (r; t) dX: u (r; t) = a(t)-br; w (r; t) = c; b&c are constants and a(t) arbitrary function of time. If Zero Coupon Bond Z (r; T; T) = 1 ...
2
votes
1answer
146 views

Can determinant of liquidity risk be used as a dimension or measure of liquidity risk

Can I take liquidity risk determinant as a dimension of it in order to examine the impact of liquidity risk on performance of banks? For example in a literature, Tangibility i.e., ratio of fixed ...
2
votes
0answers
87 views

Good Environment, Social, and Governance Indicators to correlate with financial performance of PE

I am trying to see if there is a correlation between the Environment, Social, and Governance (ESG) performance and the financial performance of Private Equity (PE) funds. Are there any suggestions ...
1
vote
2answers
5k views

How to normalize stock data

Please advise how can i normalize stock prices. Recently, I've been using such formulas: Log prices = Ln(Close(t)) Close(t)-Mean (Close(t)-Mean)/(StdDev) Ln(Close(t))-Mean Is there any other ...
1
vote
1answer
292 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?
-1
votes
1answer
708 views

Calculating arbitrage- S&P 500 stocks vs S&P 500 Index future?

How exactly would I go about investigating whether the S&P 500 stocks were currently over-valued compared with the price of the S&P 500 Index futures contract? Is it just a case of taking each ...
41
votes
9answers
18k views

How useful is the genetic algorithm for financial market forecasting?

There is a large body of literature on the "success" of the application of evolutionary algorithms in general, and the genetic algorithm in particular, to the financial markets. However, I feel ...
42
votes
12answers
17k 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 ...
38
votes
7answers
3k views

Paradoxes in quantitative finance

Everyone seems to agree that the option prices predicted by the Black-Merton-Scholes model are inconsistent with what is observed in reality. Still, many people rely on the model by using "the wrong ...
17
votes
9answers
13k views

Except Zipline, are there any other Pythonic algorithmic trading library I can choose?

Except Zipline, are there any other Pythonic algorithmic trading library I can choose? Especially, for backtesting?
23
votes
3answers
6k views

What types of neural networks are most appropriate for trading?

What types of neural networks are most appropriate for forecasting returns? Can neural networks be the basis for a high-frequency trading strategy? Types of neural networks include: Support Vector ...
12
votes
6answers
3k views

References for developing an automated trading system?

I am looking for references on the architecture of automated trading systems and the trading algorithms behind them. I am more interested in system development than analysis. A couple of books I ...
21
votes
11answers
12k views

What is the reference python library for portfolio optimization?

Does anyone know of a python library/source that is able to calculate the traditional mean-variance portfolio? To press my luck, any resources where the library/source also contains functions such as ...
18
votes
3answers
5k views

What are the best sources for equity quantitative research?

What are the best sources of quantitative finance research in equities? I will list a couple and note an asterisk if the research is available by request (i.e. non-clients) or online: BAC-Merrill ...
13
votes
7answers
4k views

What C++ math libraries are typically used by quants?

Before you mark question as off-topic, please read it - it is, actually, quant-related. Basically, I'm working on an app that spits out a lot of C++ math. When it comes to simple things like ...
35
votes
9answers
3k views

Lévy alpha-stable distribution and modelling of stock prices.

Since Mandelbrot, Fama and others have performed seminal work on the topic, it has been suspected that stock price fluctuations can be more appropriately modeled using Lévy alpha-stable distrbutions ...
20
votes
10answers
17k views

Is there any thing out there as a substitute for KDB?

thanks a lot for your discussions on the original post. following your suggestions, let me re-phrase a bit : kdb is known for its efficiency, and such efficiency comes at a terrible price. However, ...
20
votes
8answers
7k views

Training set of tick-by-tick data?

I'm looking to find a free source of tick by tick data (<1sec) for training purposes. It doesn't need to be longer than a day, and I don't care what instrument, or exchange, or time it is. I just ...
19
votes
6answers
12k views

How to identify technical analysis chart patterns algorithmically?

I'm working on a small application that will provide some charts and graphs to be used for technical analysis. I'm new to TA but I'm wondering if there is a way to algorithmically identify the ...
20
votes
8answers
4k views

What kind of basic framework or application do you use to run your trading algorithms?

I heard about MetaTrader from http://www.metaquotes.net. Is there any other framework or program available? Do you use different software for backtracking and running your trading algorithms? Thank ...
10
votes
9answers
21k views

Strategy of Renaissance Technologies Medallion fund: Holy Grail or next Madoff?

Renaissance Technologies Medallion fund is one of the most successful hedge funds - ever! Yet it is very secretive. Do you have information on the strategy used that is not yet mentioned in the ...
22
votes
9answers
5k views

How good is managed code for algo trading?

I am currently working in a firm that does algo trading. We do all of our stuff in Java. And we do make money out of it. We have debates all the time whether we would have made more money with native ...
15
votes
6answers
8k views

Applications of Fourier theory in trading

What are fashionable applications of Fourier analysis in trading? I have heard vague ideas of applications in High Frequency Trading but can somebody provide an example, maybe a reference? Just for ...
18
votes
1answer
1k views

Portfolio optimization with monte carlo sampling from predictive distribution

Let's say we have a predictive distribution of expected returns for N assets. The distribution is not normal. We can interpret the dispersion in the distribution as reflection of our uncertainty (or ...
23
votes
4answers
7k views

Why do high frequency traders use rapidly cancelled limit orders?

In reading about the various practices and strategies of high frequency traders, one of the most mysterious to me is "fleeting orders," or orders that are cancelled almost immediately after they are ...
16
votes
3answers
3k views

Please give a step-by-step explanation on how to build a factor model

Factor models such as Fama-French or the other ones that are partially summarized here work on the cross-section of asset returns. How are the factors built, how are sensitivities/coefficients ...
15
votes
7answers
5k views

What are the best Journals & Conferences in Quantitative Finance?

What are some of the most prominent journals, conferences and publishing venues in Quantitative Finance research? Where can I find information more information about them? (e.g. impact factor and ...
7
votes
1answer
1k views

What are the textbooks used to teach Quantitative Trading at universities?

For example, Stanford has a class on quantitative trading. But i am not able to determine what are the textbook(s) used in this course. The same also applies for similar courses at Stony Brook, ...

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