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We show that the recent results on the Fundamental Theorem of Asset Pricing and the super-hedging theorem in the context of model uncertainty can be extended to the case in which the options available for static hedging (hedging options) are quoted with bid-ask spreads. In this set-up, we need...
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equivalent martingale measure is a folk theorem, see Harrison and Kreps (1979). We establish a microeconomic foundation of … martingale measure sets, in a dynamic trading framework under absence of prior depending arbitrage. We prove the existence of …
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European claim. This allows pricing and hedging under the minimal martingale measure, corresponding to the local risk …-minimizing strategy. Furthermore, since the mean-variance tradeoff process is deterministic in our setup, the minimal martingale- and … variance-optimal martingale measures coincide. Consequently, the mean-variance optimal strategy is easily constructed. Simple …
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