This paper considers the utility-based and indifference pricing in a market with transaction costs. The utility maximization problem, including contingent claims in the market with transaction costs, has been widely researched. In this paper, closely following the results of Bouchard (Financ Stoch 6:495–516, 2002), we consider the market equilibrium of contingent claims. This is done by specifying the utility function as exponential utility and, thus, determining equilibrium in the market with transaction costs. Unlike Davis and Yoshikawa (Math Finan Econ, 2015), we use the strong assumption to deduce the equilibrium at which trade does not occur (zero trade equilibrium). It implicitly shows that transaction costs may generate a non-zero trade equilibrium under a weaker assumption.
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Cvitaníc, J., Wang, H.: On optimal terminal wealth under transaction costs. J. Math. Econ.
35, 223–231 (2001)
Davis, M.A.H., Yoshikawa, D.: A note on utility-based pricing. Math. Finan. Econ. (forthcoming)
Henderson, V.: Valuation of claims on non-traded assets using utility maximization. Math. Financ.
12, 351–373 (2002)
Hugonnier, J., Kramkov, D.: Optimal investment with random endowments in incomplete markets. Ann. Appl. Probab.
14(2), 845–864 (2004)
Ihara, S.: Information Theory for Continuous System. World Scientific, Singapore (1993)
Kabanov, Y.: Hedging and liquidation under transaction costs in currency markets. Financ. Stoch.
3, 237–248 (1999)
Kabanov, Y., Last, G.: Hedging under transaction costs in currency markets: a continuous-time model. Math. Financ.
12, 63–70 (2002)
Kabanov, Y., Safarian, M.: Market with Transaction Costs. Springer, Berlin (2010)
Kamizono, K.: Multivariate utility maximization under transaction costs. In: Akahori, J., Ogawa, S., Watanabe, S. (eds.) Stochastic Processes and Applications to Mathematical Finance: Proceedings of the Ritsumeikan International Symposium, pp. 133–149. World Scientific, Singapore (2004)
Rockafellar, R.: Convex Analysis. Princeton, New Jersy (1970)
Schachermayer, W.: The fundamental theorem of asset pricing under proportional transaction costs in finite discrete time. Math. Financ.
14, 19–48 (2004)
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A note on utility-based pricing in models with transaction costs