Matthias Reginald Fengler
Title
Prof. Dr.
Last Name
Fengler
First name
Matthias Reginald
Email
matthias.fengler@unisg.ch
ORCID
Phone
+41 71 224 2457
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Item type:Publication, A simple and general approach to fitting the discount curve under no-arbitrage constraintsWe suggest a simple and general approach to fitting the discount curve under no-arbitrage constraints based on a penalized shape-constrained B-spline. The approach accommodates B-splines of any order and fitting both under the L1 and the L2 loss functions. An application to US STRIPS data from 2001-2015 suggests that polynomial splines of order three and four are mandatory to obtain reasonable fits. The choice of the loss function appears to be less relevant.Type:journal articleJournal:Finance Research LettersVolume:15Scopus© Citations 3 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Semi-nonparametric estimation of the call-option price surface under strike and time-to-expiry no-arbitrage constraintsWe suggest a semi-nonparametric estimator for the call-option price surface. The estimator is a bivariate tensor-product B-spline. To enforce no-arbitrage constraints across strikes and expiry dates, we establish sufficient no-arbitrage conditions on the control net of the B-spline surface. The conditions are linear and therefore allow for an implementation of the estimator by means of standard quadratic programming techniques. The consistency of the estimator is proved. By means of simulations, we explore the statistical efficiency benefits that are associated with estimating option price surfaces and state-price densities under the full set of no-arbitrage constraints. We estimate a call-option price surface, families of first-order strike derivatives, and state-price densities for S&P 500 option data.Type:journal articleJournal:Journal of EconometricsVolume:184Issue:2Scopus© Citations 41