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Journal of Systems Science and Complexity

, Volume 26, Issue 6, pp 991–1001 | Cite as

Dynamic valuation of options on non-traded assets and trading strategies

  • Hui MiEmail author
  • Shuguang Zhang
Article

Abstract

This paper investigates the pricing of options written on non-traded assets and trading strategies for the stock and option in an exponential utility maximization framework. Under the assumption that the option can be continuously traded without friction just as the stock, a dynamic relationship between their optimal positions is derived by using the stochastic dynamic programming techniques. The dynamic option pricing equations are also established. In particular, the properties of the associated solutions are discussed and their explicit representations are demonstrated via the Feynman-Kac formula. This paper further compares the dynamic option price to the existing price notions, such as the marginal price and indifference price.

Key words

Non-traded asset option pricing portfolio selection stochastic control 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of Mathematical SciencesNanjing Normal UniversityNanjingChina
  2. 2.Department of Statistics and FinanceUniversity of Science and Technology of ChinaHefeiChina

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