Geodesic
On European option pricing under partial information
Applications of Mathematics, Tome 61 (2016) no. 1, pp. 61-77.

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We consider a European option pricing problem under a partial information market, i.e., only the security's price can be observed, the rate of return and the noise source in the market cannot be observed. To make the problem tractable, we focus on gap option which is a generalized form of the classical European option. By using the stochastic analysis and filtering technique, we derive a Black-Scholes formula for gap option pricing with dividends under partial information. Finally, we apply filtering technique to solve a utility maximization problem under partial information through transforming the problem under partial information into the classical problem.
DOI : 10.1007/s10492-016-0122-1
Classification : 60H10, 91B24, 93E11
Keywords: option pricing; European option; partial information; backward stochastic differential equation 
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Wu, Meng; Lu, Jue; Huang, Nan-jing. On European option pricing under partial information. Applications of Mathematics, Tome 61 (2016) no. 1, pp. 61-77. doi : 10.1007/s10492-016-0122-1. http://geodesic.mathdoc.fr/articles/10.1007/s10492-016-0122-1/

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