Volume 1, Issue 4
Hedging Game Contingent Claims with Constrained Portfolios

Lei Wang & Yan Xiao

Adv. Appl. Math. Mech., 1 (2009), pp. 529-545.

Published online: 2009-01

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  • Abstract

Game option is an American-type option with added feature that the writer can exercise the option at any time before maturity. In this paper, we consider the problem of hedging Game Contingent Claims (GCC) in two cases. For the case that portfolio is unconstrained, we provide a single arbitrage-free price $P_0$. Whereas for the constrained case, the price is replaced by an interval $[h_{low},h_{up}]$ of arbitrage-free prices. And for the portfolio with some closed constraints, we give the expressions of the upper-hedging price and lower-hedging price. Finally, for a special type of game option, we provide explicit expressions of the price and optimal portfolio for the writer and holder.

  • Keywords

Game option, contingent claims, hedging, optimal stopping, free boundary.

  • AMS Subject Headings

60G40, 91A60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-1-529, author = {}, title = {Hedging Game Contingent Claims with Constrained Portfolios}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2009}, volume = {1}, number = {4}, pages = {529--545}, abstract = {

Game option is an American-type option with added feature that the writer can exercise the option at any time before maturity. In this paper, we consider the problem of hedging Game Contingent Claims (GCC) in two cases. For the case that portfolio is unconstrained, we provide a single arbitrage-free price $P_0$. Whereas for the constrained case, the price is replaced by an interval $[h_{low},h_{up}]$ of arbitrage-free prices. And for the portfolio with some closed constraints, we give the expressions of the upper-hedging price and lower-hedging price. Finally, for a special type of game option, we provide explicit expressions of the price and optimal portfolio for the writer and holder.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m08h8}, url = {http://global-sci.org/intro/article_detail/aamm/8384.html} }
TY - JOUR T1 - Hedging Game Contingent Claims with Constrained Portfolios JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 529 EP - 545 PY - 2009 DA - 2009/01 SN - 1 DO - http://doi.org/10.4208/aamm.09-m08h8 UR - https://global-sci.org/intro/article_detail/aamm/8384.html KW - Game option, contingent claims, hedging, optimal stopping, free boundary. AB -

Game option is an American-type option with added feature that the writer can exercise the option at any time before maturity. In this paper, we consider the problem of hedging Game Contingent Claims (GCC) in two cases. For the case that portfolio is unconstrained, we provide a single arbitrage-free price $P_0$. Whereas for the constrained case, the price is replaced by an interval $[h_{low},h_{up}]$ of arbitrage-free prices. And for the portfolio with some closed constraints, we give the expressions of the upper-hedging price and lower-hedging price. Finally, for a special type of game option, we provide explicit expressions of the price and optimal portfolio for the writer and holder.

Lei Wang & Yan Xiao. (1970). Hedging Game Contingent Claims with Constrained Portfolios. Advances in Applied Mathematics and Mechanics. 1 (4). 529-545. doi:10.4208/aamm.09-m08h8
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