1084. How to choose a model? A consequentialist approach applied to portfolio selection in continuous-time
Invited abstract in session WD-9: Quantitative methods in finance, stream OR in Finance and Insurance .
Wednesday, 14:30-16:00Room: Clarendon SR 2.01
Authors (first author is the speaker)
| 1. | Moris Strub
|
| Warwick Business School | |
| 2. | Thaleia Zariphopoulou
|
| The University of Texas at Austin |
Abstract
We propose a consequentialist approach to model selection:
Models should be determined not according to statistical criteria, but in view of how they are used. This principle is then studied in detail in the domain of continuous-time portfolio choice. We consider an econometrician with prior beliefs on the likelihood of models to transpire and faced with the task of communicating a single model to a client. The client then takes the model communicated by the econometrician and invests according to the strategy maximizing expected utility within this model. The client receives the consequential performance of trading according to the model communicated by the econometrician in a potentially different model that accurately describes the world. The objective of the econometrician is to choose the model that maximizes the consequential performance of the client, averaged over the likelihood of models to transpire and weighted according to the risk preferences of the econometrician. One of the key findings is that it is in the best to communicate a model that is more optimistic than an unbiased estimator would suggest.
Keywords
- Financial Modelling
- Optimization in Financial Mathematics
- Stochastic Optimization
Status: accepted
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