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The Impact of Swapping Risks in Facilitating Capital Investment in E-Commerce

並列摘要


A swapping scheme is proposed to facilitate capital flow into e-commerce by controlling credit risks associated with e-commerce corporations. More specifically, we develop and analyze a mathematical model for swapping credit risks across two industrial sectors: industrial sector A, without involving e-commerce; and industrial sector B, which relies upon e-commerce. When two Banks X and Y provide loans to corporations in A and B, a swapping scheme can be devised between Banks X and Y to improve the Value-at-Risk for both of them. By exploiting the dynamic stochastic model based on a Markov Modulated Poisson Process (MMPP) developed by Takada, Sumita and Takahashi, efficient computational procedures are established for solving the Value-at-Risk problems.

參考文獻


Takada H., Sumita U., and Takahashi K., Pricing collateralized debt obligations with Markov modulated Poisson processes. Quantitative Finance, 11(12), p1761-1771, 2011.
Keison J., Markov Chain Models: Rarity and Exponentiality. New York: Springer, 1979.
Sumita U., Gotoh J., and Jin H., Numerical exploration of dynamic behavior of the Ornstein-Uhlenbeck process via Ehrenfest process approximation. Journal of Operations Research Society of Japan, 49, p256-278, 2006.
D, Lando, Credit Risk Modeling: Theory and Applications. Princeton, New Jersey: Princeton University Press, 2004.
A.J, McNeil, R, Frey and P, Embrechts, Quantitative Risk Management. Princeton, New Jersey: Princeton University Press, 2005.

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