Monday, March 24, 2014

MoneyScience News

MoneyScience News


Published / Preprint: Asymptotic analysis of stock price densities and implied volatilities in mixed stochastic models. (arXiv:1403.5302v1 [q-fin.PR])

Posted: 23 Mar 2014 05:39 PM PDT

In this paper, we obtain sharp asymptotic formulas with error estimates for the Mellin convolution of functions, and use these formulas to characterize the asymptotic behavior of marginal distribution densities of stock price processes in mixed stochastic models. Special examples of mixed models are jump-diffusion models and stochastic volatility models with jumps. We apply our general results to...

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Published / Preprint: Multilevel Monte Carlo For Exponential L\'{e}vy Models. (arXiv:1403.5309v1 [q-fin.CP])

Posted: 23 Mar 2014 05:39 PM PDT

We apply multilevel Monte Carlo for option pricing problems using exponential L\'{e}vy models with a uniform timestep discretisation to monitor the running maximum required for lookback and barrier options. The numerical results demonstrate the computational efficiency of this approach. We derive estimates of the convergence rate for the error introduced by the discrete monitoring of the...

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Published / Preprint: Time-changed CIR default intensities with two-sided mean-reverting jumps. (arXiv:1403.5402v1 [q-fin.PR])

Posted: 23 Mar 2014 05:39 PM PDT

The present paper introduces a jump-diffusion extension of the classical diffusion default intensity model by means of subordination in the sense of Bochner. We start from the bi-variate process $(X,D)$ of a diffusion state variable $X$ driving default intensity and a default indicator process $D$ and time change it with a L\'{e}vy subordinator ${\mathcal{T}}$. We characterize the...

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Blog Post: TheAlephBlog: Classic: Ways to Cut Risk

Posted: 23 Mar 2014 03:28 PM PDT

This was published in late 2007 at RealMoney.  I don’t know exactly when.read more...

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Blog Post: TheFinancialServicesClub: The Finanser's Week: 17th March - 23rd March 2014

Posted: 23 Mar 2014 08:59 AM PDT

Our biggest stories of the past week are ...read more...

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