Wednesday, November 27, 2013

MoneyScience News

MoneyScience News


Blog Post: TheAlephBlog: Two Good Questions

Posted: 27 Nov 2013 12:38 AM PST

My last post, On Investment Ideas, Redux, received two good questions.  Here they are, with my answers:read more...

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Blog Post: TheFinancialServicesClub: Things worth reading: 27th November 2013

Posted: 26 Nov 2013 11:09 PM PST

Things we're reading today include ...read more...

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Vendor News: November 26, 2013 - Mizuho International Outsources its OTC Derivatives Processing using SS&Câs GoTrade+

Posted: 26 Nov 2013 06:07 AM PST

Blog Post: ThePracticalQuant: The Seven Things You're Not Supposed to Talk About

Posted: 25 Nov 2013 10:17 PM PST

This list is from a hilarious episode of This American Life. The list is meant to highlight boring and uninteresting topics that you should avoid bringing up at social gatherings and casual conversations. I'm sharing them here because I sympathize with a few of these - particularly the first item :-)Never talk about your diet: this includes your weight-loss plan, and your food restrictions. (In...

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Published / Preprint: Left-wing asymptotics of the implied volatility in the presence of atoms. (arXiv:1311.6027v1 [q-fin.PR])

Posted: 25 Nov 2013 05:40 PM PST

We consider the asymptotic behavior of the implied volatility in stochastic asset price models with atoms. In such models, the asset price distribution has a singular component at zero. Examples of models with atoms include the constant elasticity of variance model, jump-to-default models, and stochastic models described by processes stopped at the first hitting time of zero. For models with...

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Published / Preprint: A Characterization of Comonotonicity and its Application in Quantile Formulation. (arXiv:1311.6080v1 [q-fin.PM])

Posted: 25 Nov 2013 05:40 PM PST

It is well-known that an $\R^n$-valued random vector $(X_1, X_2, \cdots, X_n)$ is comonotonic if and only if $(X_1, X_2, \cdots, X_n)$ and $(Q_1(U), Q_2(U),\cdots, Q_n(U))$ coincide \emph{in distribution}, for \emph{any} uniformly distributed random variable $U$ on the unit interval, where $Q_k$ is the quantile function of $X_k$, $k=1,2,\cdots, n$. It is natural to ask...

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Published / Preprint: Optimal Strategies for a Long-Term Static Investor. (arXiv:1311.6179v1 [q-fin.PM])

Posted: 25 Nov 2013 05:40 PM PST

The optimal strategies for a long-term static investor are studied. Given a portfolio of a stock and a bond, we derive the optimal allocation of the capitols to maximize the expected long-term growth rate of a utility function of the wealth. When the bond has constant interest rate, three models for the underlying stock price processes are studied: Heston model, 3/2 model and jump diffusion...

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Published / Preprint: Pathwise stochastic integrals for model free finance. (arXiv:1311.6187v1 [math.PR])

Posted: 25 Nov 2013 05:40 PM PST

We show that Lyons' rough path integral is a natural tool to use in model free financial mathematics by proving that it is possible to make an arbitrarily large profit by investing in those paths which do not have a rough path associated to them. We also show that in certain situations, the rough path integral can be constructed as a limit of Riemann sums, and not just as a limit of compensated...

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Published / Preprint: Filters and smoothers for self-exciting Markov modulated counting processes. (arXiv:1311.6257v1 [q-fin.CP])

Posted: 25 Nov 2013 05:40 PM PST

We consider a self-exciting counting process, the parameters of which depend on a hidden finite-state Markov chain. We derive the optimal filter and smoother for the hidden chain based on observation of the jump process. This filter is in closed form and is finite dimensional. We demonstrate the performance of this filter both with simulated data, and by analysing the `flash crash' of 6th May...

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Published / Preprint: Agent-based models for latent liquidity and concave price impact. (arXiv:1311.6262v1 [q-fin.TR])

Posted: 25 Nov 2013 05:40 PM PST

We revisit the "epsilon-intelligence" model of Toth et al.(2011), that was proposed as a minimal framework to understand the square-root dependence of the impact of meta-orders on volume in financial markets. The basic idea is that most of the daily liquidity is "latent" and furthermore vanishes linearly around the current price, as a consequence of the diffusion of the price itself. However, the...

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