In this paper we show that discrete string models are observationally equivalent to market models. Furthermore, the parsimony of the models is investigated and determined. As a consequence of the observational equivalence we show that discrete string models are a special case of the HJM...

Using daily caps and floors market prices throughout the years 1993 and 1994, we address the open question whether spot or forward interest-rate models of the term structure provide a better fit to market prices of options. In particular, we compare the Hull and White (1994), Pelsser (1996) and...

We empirically compare Libor and Swap Market Models for the pricing of interest rate derivatives, using panel data on prices of US caplets and swaptions. A Libor Market Model can directly be calibrated to observed prices of caplets, whereas a Swap Market Model is calibrated to a certain set of...

We introduce a general class of interest rate models in which the value of pure discount bonds can be expressed as a functional of some (low-dimensional) Markov process. At the abstract level this class includes all current models of practical importance. By specifying these models in...

In this paper we address the pricing of double barrier options. To derive the density function of the first-hit times of the barriers, we analytically invert the Laplace transform by contour integration. With these barrier densities, we derive pricing formulae for new types of barrier options:...

In this article we provide a valuation formula for a quanto swaption, the interest rate equivalent of the well known equity spread option. A quanto swaption gives the owner of the option the right to enter into a quanto swap in which he has to make payments in the domestic currency determined by...

Using daily caps and floors market prices throughout the years 1993 and 1994, we address the open question whether spot or forward interest-rate models of the term structure provide a better fit to market prices of options. In particular, we compare the Hull and White (1994), Pelsser (1996) and...

This paper investigates how the market implicitly prices very long-dated cash-flows. We do this empirically, using daily market data on the 3½% War Loan, a UK infinite maturity coupon bond. We price the War Loan as an American option with 100 years of maturity. To this end, we perform daily...

We propose a novel and intuitive risk-neutral valuation model for real estate derivatives. We first model the underlying efficient market price of real estate and then construct the observed index value with an adaptation of the price update rule by Blundell and Ward (1987). The resulting index...

We develop a robust optimal dynamic hedging strategy that takes both downside risks and market incompleteness into account for an agent who fears model misspecification. The robust agent is assumed to minimize the shortfall between the assets and liabilities under an endogenous worst case...