Nonparametric option pricing with no-arbitrage constraints
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Date
2007-10-25T11:59:31Z
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Abstract
We propose a completely kernel based method of estimating the call price function
or the state price density of options. The new estimator of the call price function fulfills
the constraints like monotonicity and convexity given in Breeden and Litzenberger (1978)
without necessarily estimating the state price density for an underlying asset price from
its option prices. It can be shown that the estimator is pointwise consistent and asymptot-
ically normal. In a simulation study we compare the new estimator to the unconstrained
kernel estimator and to the estimator given in Aıt-Sahalia and Duarte (2003).
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Keywords
Call pricing function, Constrained nonparametric estimation, Monotone rearrangements, State price density