Valuation of installment option by penalty method

نویسندگان

1 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

2 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

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چکیده

In this paper, installment options on the underlying asset which evolves according to Black-Scholes model and pays constant dividend to its owner will be considered. Applying arbitrage pricing theory, the non-homogeneous parabolic partial differential equation governing the value of installment option is derived. Then, penalty method is used to value the European continuous installment call option.