Nonparametric Option Pricing with No-Arbitrage Constraints

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 call price estimator is pointwise consistent and asymptotically normal. The estimator of the state price density is also consistent. In a simulation study we compare the new estimators to the estimators given in Aït-Sahalia and Duarte (2003).

Cite this work

No public copy is stored for this record, so only the metadata is cited.

Stored only when both papers are in the corpus — 31 citations exist upstream.

Papers that cite the same references — the relational fallback while embeddings are still backfilling.