In complete markets no arbitrage opportunity implies deterministic relationships between the prices of derivative assets. These actuarial relations are incompatible with the available data and with statistical inference. The aim of this paper is to reconcile risk neutral valuation and...

We consider a quadratic stochastic intensity model with a Gaussian autoregressive factor, derive explicit formulas for predictive mortality tables and recursive updating formulas are also provided. We also explain how to use appropriately the Kalman filter to estimate the parameters of the model...

We propose a quadratic term-structure model of the EURIBOR-OIS spreads. Contrary to OIS, EURIBOR rates incorporate credit and liquidity risks resulting in compensations for (a) facing default risk of debtors, and (b) possible unexpected funding needs on the lender’s side. Our approach allows...