Methods of functional analysis are applied to describe collectively fluctuating default-free pure discount bonds subject to trading-related noise which generates arbitrage opportunities. Two key elements of the model are: (i) the naturally incorporated fixed bond price at maturity which is...

In this work, I generalize Merton's approach of pricing risky debt to the case where the interest rate is modeled by the CIR term structure. Closed form result for pricing the debt is given for the case where the firm value has non-zero correlation with the interest rate. This extends previous...

The classical quot;no-arbitragequot; argument assumption is based on perfect replication of instruments. In fixed-income markets there are many instruments for which replication is costly and/or time-consuming. This work is based on a modeling approach where finite times are needed to perform...

The present paper analyses a broad range of one- and multifactor models of the term structure of interest rates. We assess the influence of the number of factors, mean reversion, and the factor probability distributions on the term structure shapes the models generate, and use spread options as...

In this work we want to provide a general principle to evaluate the CVA (Credit Value Adjustment) for a vulnerable option, that is an option subject to some default event, concerning the solvability of the issuer. CVA is needed to evaluate correctly the contract and it is particularly important...

We solve a dynamic equilibrium model with generalized disappointment aversion preferences and continuous state endowment dynamics. We apply the framework to the term structure of interest rates and show that the model generates an upward sloping term structure of nominal interest rates, a...

Due the the upcoming change in price alignment interest that is anticipated for SOFR and €STR, a new definition of the "hybrid" risk-neutral measure is developed, which is based on continuous reinvestment at the price alignment interest rate. A corresponding T-forward measure is defined, which...

Wrong way risk (WWR) is a consideration for regulatory capital for credit valuation adjustment (CVA). WWR is also of interest for pricing and accounting and in these cases must include funding as well as exposure and default in CVA and FVA calculation. Here we introduce a model independent...

This paper examines the behaviour of foreign exchange reserves, when a government defends an exchange rate target zone using Minimal Marginal Intervention. Reserve depletion defending a single exchange rate barrier is first modelled as the maximum or minimum value of the path of an unregulated...

This paper provides a short introduction to the topic of target zone exchange rate option pricing. Models covered include: Black-Scholes equation with derivation, European Call on a stock option, Garman-Kohlhagen model for an option on a free-floating exchange rate, Dumas Jennergren and Naslund...