ISSN:
1573-7144
Keywords:
option pricing bounds
;
pricing with preference restrictions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Economics
Notes:
Abstract We establish bounds on option prices in an economy where the representative investor has an unknown utility function that is constrained to belong to the family of nonincreasing absolute risk averse functions. For any distribution of terminal consumption, we identify a procedure that establishes the lower bound of option prices. We prove that the lower bound derives from a particular negative exponential utility function. We also identify lower bounds of option prices in a decreasing relative risk averse economy. For this case, we find that the lower bound is determined by a power utility function. Similar to other recent findings, for the latter case, we confirm that under lognormality of consumption, the Black Scholes price is a lower bound. The main advantage of our bounding methodology is that it can be applied to any arbitrary marginal distribution for consumption.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1009602426513
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