Optimal portfolios with maximum Value-at-Risk constraint under a hidden Markovian regime-switching model

Automatica ◽  
2016 ◽  
Vol 74 ◽  
pp. 194-205 ◽  
Author(s):  
Dong-Mei Zhu ◽  
Yue Xie ◽  
Wai-Ki Ching ◽  
Tak-Kuen Siu



2012 ◽  
Vol 15 (08) ◽  
pp. 1250055 ◽  
Author(s):  
ROBERT J. ELLIOTT ◽  
TAK KUEN SIU

It is known that the market in a Markovian regime-switching model is, in general, incomplete, so not all contingent claims can be perfectly hedged. We show, in this paper, how certain contingent claims are attainable in the regime-switching market using a money market account, a share and a zero-coupon bond. General contingent claims with payoffs depending on both the share price and the state of the regime-switching process are considered. We apply a martingale representation result to show the attainability of a European-style contingent claim. We also extend our analysis to Asian-style and American-style contingent claims.





Automatica ◽  
2010 ◽  
Vol 46 (6) ◽  
pp. 979-989 ◽  
Author(s):  
Ka-Fai Cedric Yiu ◽  
Jingzhen Liu ◽  
Tak Kuen Siu ◽  
Wai-Ki Ching




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