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Stochastic representation of solutions to degenerate elliptic and parabolic boundary value and obstacle problems with Dirichlet boundary conditions
Degenerate elliptic and parabolic differential operators degenerate diffusion process Feller square root process Feynman-Kac formula
2012/4/28
We prove stochastic representation formulae for solutions to elliptic and parabolic boundary value and obstacle problems associated with a degenerate Markov diffusion process. In particular, our artic...
Computing Functionals of Multidimensional Diffusions via Monte Carlo Methods
Computing Functionals of Multidimensional Diffusions Monte Carlo Methods Numerical Analysis Computational Finance
2012/4/28
We discuss suitable classes of diffusion processes, for which functionals relevant to finance can be computed via Monte Carlo methods. In particular, we construct exact simulation schemes for processe...
Equivalence of interest rate models and lattice gases
Equivalence of interest rate models lattice gases Computational Finance
2012/4/28
We consider the class of short rate interest rate models for which the short rate is proportional to the exponential of a Gaussian Markov process x(t) in the terminal measure r(t) = a(t) exp(x(t)). Th...
Efficient Discretization of Stochastic Integrals
Efficient Discretization of Stochastic Integrals Probability Computational Finance
2012/4/28
Sharp asymptotic lower bounds of the expected quadratic variation of discretization error in stochastic integration are given. The theory relies on inequalities for the kurtosis and skewness of a gene...
泊松冲击下不同质部件k/n(G)系统的可靠性分析
冲击模型 泊松过程 k/n(G)系统 可靠性指标
2012/4/13
假设一个系统由n个质量不同的部件组成,当系统中至少有k个部件工作时系统才能正常工作,该系统受到一类齐次泊松过程到达的冲击,冲击量服从某一个分布,每当一个冲击到达时,都会独立的对n个部件产生影响,每个部件以一定的概率产生故障,故障概率不但是冲击量的函数,而且与具体的部件有关,另外还假定各次冲击独立的对系统造成损失,对于此泊松冲击下的不同质部件的k/n(G)系统,显式给出了系统的可靠度函数以及系统的平...
Fundamental theorems of asset pricing for piecewise semimartingales of stochastic dimension
Semimartingale Martingale Stochastic integration Fundamental theorem of asset pricing Stochastic dimension
2011/12/28
The purpose of this paper is two-fold. First is to extend the notions of an n-dimensional semimartin-gale and its stochastic integral to a piecewise semimartingale of stochastic dimension. The propert...
We show that the non Hermitian Black-Scholes Hamiltonian and its various generalizations are pseudo Hermitian. The metric operator is explicitly constructed for this class of Hamitonians.It is also s...
我国汽车出口竞争力问题及对策探讨
汽车 出口竞争力 对策
2011/8/25
近年来，中国汽车产业以惊人的速度迅猛发展，越来越多的汽车出口到国外，但中国汽车制造企业在国际化进程中仍存在着许多问题。本文结合我国汽车出口发展现状和特点，分析了我国汽车出口竞争中的优势和存在的主要问题，最后，根据目前我国汽车出口呈现出的趋势，提出了促进我国汽车出口的对策。
Model-independent Bounds for Option Prices: A Mass Transport Approach
Model-independent pricing Monge-Kantorovich transport problem option arbitrage
2011/7/4
In this paper we investigate model-independent bounds for exotic options written on a risky asset
using infinite-dimensional linear programming methods.
Using arguments from the theory of Monge-Kant...
The path integral representation kernel of evolution operator in Merton-Garman model
path integration evolution operator kernel option pricing Black-Scholes formula Merton-Garman model
2011/7/5
In the framework of path integral the evolution operator kernel for the Merton-Garman Hamiltonian is constructed.
Based on this kernel option formula is obtained, which generalizes the well-known Bla...
Multilevel Monte Carlo method for jump-diffusion SDEs
Multilevel Monte Carlo method jump-diffusion SDEs expected payoff jump rates
2011/7/4
We investigate the extension of the multilevel Monte Carlo path
simulation method to jump-diffusion SDEs. We consider models with
finite rate activity , using a jump-adapted discretisation in which ...
Chaos structures. Multicurrency adviser on the basis of NSW model and social-financial nets
Chaos structures Multicurrency adviser NSW model social-financial nets
2011/7/4
Certainly, professionals have some reasons to muzz customers of stock strategies. The more
complicated system brings more difficult formalization of description space and laws of system
evolution. A...
Dynamic Large Spatial Covariance Matrix Estimation in Application to Semiparametric Model Construction via Variable Clustering: the SCE approach
Time Series Covariance Estimation Regularization Sparsity Thresholding Semiparametrics Graphical Model Variable Clustering
2011/7/5
To better understand the spatial structure of large panels of economic and nancial time
series and provide a guideline for constructing semiparametric models, this paper rst consid-
ers estimating...
Impact of the first to default time on Bilateral CVA
Credit Valuation Adjustment Unilateral CVA Bilateral CVA Simplified Bilateral CVA Debit Valuation Adjustment Closeout Equity Forward Contract
2011/7/4
We compare two different bilateral counterparty valuation adjustment (BVA) formulas.
The first formula is an approximation and is based on subtracting the two unilateral
Credit Valuation Adjustment ...
Geometric Allocation Approach for Transition Kernel of Markov Chain
Markov chain Transition kernel Geometric allocation Detailed balance Reversibility
2011/7/5
We introduce a new geometric approach that constructs a
transition kernel of Markov chain. Our method always minimizes the av-
erage rejection rate and even reduce it to zero in many relevant cases,...