This paper proposes new bounds on the prices of European-style swaptions for affine and quadratic interest rate models. These bounds are computable whenever the joint characteristic function of the state variables is known. In particular, our lower bound involves the computation of a one...

We present a novel empirical benchmark for analyzing credit risk using “pseudo firms” that purchase traded assets financed with equity and zero-coupon bonds. By no-arbitrage, pseudo bonds are equivalent to Treasuries minus put options on pseudo-firm assets. Empirically, like corporate...

The paper presents a mathematically equivalent, but more compact description of the usually occurring quadratic model of yield. Equations for the functions of the term structure are obtained and general properties of their solutions are given. The main content of the paper is to consider the...

Although the effect of interest rate stochasticity can safely be ignored for short-dated exchange traded volatility derivatives, this is not the case for the kind of long-dated OTC derivatives often used by insurance companies and other financial institutions. We therefore extend existing...

Multi-factor interest-rate models are widely used. Contingent claims with early-exercise features are often valued by resorting to trees, finite-difference schemes and Monte Carlo simulations. When jumps are present, however, these methods are less effective. In this work we develop an algorithm...

The illiquidity of long-maturity options has made it difficult to study the term structures of option spanning portfolios. This paper proposes a new estimation and inference framework for these option-implied term structures that addresses long-maturity illiquidity. By building a sieve estimator...

Asset swaps provide a form of asset financing, where investors borrow funds to purchase an asset, typically a bond. Asset swaps are also a good bond rich-cheap analysis tool. Such swaps can of course be used for speculative purposes. In this paper we provide a brief overview of asset swaps and...

In this article, we apply the forward variance modeling approach by L.Bergomi to the co-terminal swap market model. We build an interest rate model for which all the market price changes of hedging instruments, interest rate swaps and European swaptions, are interpreted as the state variable...

In practice, rather than to presume a hypothetical condition that needs be validated theoretically, it is sufficient to accept a real condition that exists and can be directly validated for practical purposes. This paper presents a practical approach to formulating the theoretical price of a...

We consider minimal variance hedging in a pure-jump multi-curve interest rate model. In the first part, we derive arithmetic multi-factor martingale representations for the spread, OIS and LIBOR rate which are bounded from below by a real-valued constant. In the second part, we investigate...