This study deals with the pricing and hedging of inflation-indexed bonds. Under foreign exchange analogy we model the nominal short rate, real short rate and logarithm of the price index with an affi ne Gaussian process. Using the underlying a ffine property, we compute the nominal and...

This paper provides the mathematical foundation for polynomial diffusions. They play an important role in a growing range of applications in finance, including financial market models for interest rates, credit risk, stochastic volatility, commodities and electricity. Uniqueness of polynomial...

We introduce a novel stochastic volatility model where the squared volatility of the asset return follows a Jacobi process. It contains the Heston model as a limit case. We show that the joint density of any finite sequence of log returns admits a Gram-Charlier A expansion with closed-form...

We study American swaptions in the linear-rational (LR) term structure model introduced. The American swaption pricing problem boils down to an optimal stopping problem that is analytically tractable. It reduces to a free-boundary problem that we tackle by the local time-space calculus. We...