In what follows we outline briefly the Credit Support Annex and how it impacts securities pricing. We then proceed to discuss synthetic forward rate calculation and the FX forward invariance relationship from which we show how to calculate CSA collateral adjusted discount factors using GBP...

This paper discusses the relation between forward price models (FPM) and the so called implied volatility term structure (VTS). We start by considering the case of pure deterministic forward price volatilities and suppose both forward contracts and at-the-money (ATM) options, on a same...

This paper presents an analytic approximation formula for pricing zero-coupon bonds, when the dynamics of the short-term interest rate are driven by a one-factor mean-reverting process in which changes in the volatility of the interest rate are a function of the level of the interest rate

In this paper we outline the European interest rate swaption pricing formula from first principles using the Martingale Representation Theorem and the annuity measure. This leads to an expression that allows us to apply the generalized Black-Scholes result. We show that a swaption pricing...

This paper deals with issues related to the choice of the interest rate model to price interest rate derivatives. After the development of the market models, choosing the interest rate model is become almost a trivial task. However their use not always is possible, so that the problem of...

This paper deals with issues related to the choice of the interest rate model to price interest rate derivatives. After the development of the market models, choosing the interest rate model has become almost a trivial task. However, their use is not always possible, so that the problem of...

We derive a model of bond pricing under ambiguity, showing that ambiguity interacts with risk to determine spreads. Since default is an inherently "unfavorable" outcome, ambiguity-averse bondholders overweigh its probability and demand higher yields for bonds with higher ambiguity.Empirically,...

Can consumption-based mechanisms generate positive and time-varying real term premia as we see in the data? I show that only models with time-varying risk aversion or models with high consumption risk can independently produce these patterns. The latter explanation has not been analysed before...

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...

Hazard rate curves could be represented using Chebyshev orthogonal polynomials basis. This basis is almost complete under HJM evolution. The basis is convenient for curve fitting and smoothing as well. We discuss the basis and it's application in HJM like modeling