Unanswered Questions
13
votes
0answers
280 views
How to show that this weak scheme is a cubature scheme?
Weak schemes, such as Ninomiya-Victoir or Ninomiya-Ninomiya, are typically used for discretization of stochastic volatility models such as the Heston Model.
Can anyone familiar with Cubature on ...
10
votes
0answers
295 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 ...
8
votes
0answers
90 views
Exploiting breakdowns in correlation of estimated volatility
In the attached image I have a plot of the rolling correlation of 90-day historic volatility (using the Garman Klass estimator based on Sinclair's Volatility Trading) of JPM v. the S&P. As can be ...
8
votes
0answers
362 views
statistical arbitrage option overlay strategies / volatility trading
Here's an interesting trading puzzle that I would love to get the community's input on.
Let's say there exists an alpha signal that does a good job of sorting equities expected excess returns over ...
8
votes
0answers
530 views
How do different methods and techniques used in pairs trading compare?
I was going through the paper of Avellaneda (2008) on stat arb and I found it interesting that he uses asset returns vs. their respective ETFs to compute the s-score.
I am wondering if anyone has ...
8
votes
0answers
173 views
Law of an integrated CIR Process as sum of Independent Random Variables
It is known (see for example Joshi-Chan "Fast and Accureate Long Stepping Simulation of the Heston SV Model" available at SSRN) that for a CIR process defined as :
$$dY_t= \kappa(\theta -Y_t)dt+ ...
7
votes
0answers
175 views
Can we use White's reality check to compare two Sharpe ratios?
I read a paper from Ledoit and Wolf that proposes a method to compare two Sharpe ratios and a paper from White that proposes a method to compare $n$ trading rules.
My question is: Can we use White's ...
7
votes
0answers
240 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 ...
7
votes
0answers
223 views
What tools and libraries may be used to model limit/stop systematic trading?
A lot of the tools/libraries out there seem to focus on close to close time series analysis. This is all fine but I typically do not trade close to close, I will use limit or stop orders that may or ...
6
votes
1answer
308 views
How to run an asset replication regression?
I am doing extensive research on portfolio replication and was hoping to get some help with some problems I am encountering.
I am running a regression between 2 assets that I believe replicate ...
6
votes
1answer
108 views
Quantitative before/after or financial engineering studies of a bid or ask tax?
Has anyone in the quantitative finance or financial engineering community studied the effects of a bid or ask tax with actual or simulated data?
If so, what were the quantitative results or ...
6
votes
0answers
118 views
performance of historical VaR parameters
An historical VaR measure is parameterized in terms of the confidence level and also number of periods. Specifically, the $\alpha$% T-period VaR is defined as the portfolio loss x in market value over ...
6
votes
0answers
173 views
Probability distribution of maximum value of binary option?
A binary option with payout \$0/\$100 is trading at \$30 with 12 hours to
expiration.
Assuming the underlying follows a geometric Brownian motion (hence volatility remains constant), what ...
6
votes
0answers
131 views
What are the major characteristics of natural gas volatility and options?
Seasonality is a big deal in the natural gas markets. My understanding is that they are broadly divided into summer and winter, with seasonality in both price and the volatility.
What does this ...
6
votes
0answers
162 views
Transformation of Volatility - BS
I have recently seen a paper about the Boeing approach that replaces the "normal" Stdev in the BS formula with the Stdev
\begin{equation}
\sigma'=\sqrt{\frac{ln(1+\frac{\sigma}{\mu})^{2}}{t}}
...