In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no-arbitrage property. We show that prices are coherent if and only if the set of pricing measures is non-empty, i.e., if pricing by expectation is possible. We then obtain a decomposition of coherent prices highlighting the role of bubbles. Eventually, we show that under very weak conditions, the coherent pricing of options implies a very clear representation which permits, as in Breeden and Litzenberger (J Bus 51:621–651, 1978), to extract the implied probability.
Cassese, G. (2017). Asset pricing in an imperfect world. ECONOMIC THEORY, 64(3), 539-570 [10.1007/s00199-016-0999-7].
Asset pricing in an imperfect world
Cassese, G
2017
Abstract
In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no-arbitrage property. We show that prices are coherent if and only if the set of pricing measures is non-empty, i.e., if pricing by expectation is possible. We then obtain a decomposition of coherent prices highlighting the role of bubbles. Eventually, we show that under very weak conditions, the coherent pricing of options implies a very clear representation which permits, as in Breeden and Litzenberger (J Bus 51:621–651, 1978), to extract the implied probability.File | Dimensione | Formato | |
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