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We propose, in this paper, a new valuation method for a contingent claim, which approximates to the exponential utility indifference valua- tion. In particular, we treat both ask and bid valuations. In the definition of the exponential utility indifference valuation, we require a strong con- dition related to the underlying contingent claim. The new valuation in this paper succeeds in reducing this condition by using a kind of power functions instead of the exponential function. Furthermore, we shall in- vestigate some basic properties and an asymptotic behavior of our new valuation.

AN APPROXIMATE APPROACH TO THE EXPONENTIAL UTILITY INDIFFERENCE VALUATION