Dynamic valuation of options on non-traded assets and trading strategies
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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 wordsNon-traded asset option pricing portfolio selection stochastic control
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- Henderson V and Hobson D, Utility indifference pricing — An overview, Indifference Pricing: Theory and Applications (ed. by Carmona R), Princeton University Press, 2009, 44–72.Google Scholar
- Hodges S D and Neuberger A, Optimal replication of contingent claims under portfolio constraints, Review of Futures Markets, 1989, 8: 222–239.Google Scholar
- Davis M H A, Option pricing in incomplete markets, in Mathematics of Derivative Securities (ed. by Dempster M A H and Pliska S R), Cambridge University Press, 1997, 216–227.Google Scholar
- Ilhan A, Jonsson M, and Sircar R, Portfolio optimization with derivatives and indifference pricing, Indifference Pricing: Theory and Applications (ed. by Carmona R), Princeton University Press, 2009, 183–210 (abbreviated title in volume: Portfolio Optimization).Google Scholar
- Yang D, Quantitative Strategies for Derivatives Trading, ATMIF LLC, New Jersey, USA, 2006.Google Scholar