I propose a new procedure for extracting probabilities of default from structural credit risk models based on model implied credit spreads (MICS) and implement this approach assuming a barrier option framework nesting the Merton (1974) model of capital structure. MICS are the increase in the...

A callable leveraged constant maturity swap (CMS) spread note allows the holder to benefit from future changes in the spread between two swap interest rates. The issues retains the right to call the note at pre-specified times in the future. The note is priced via Monte Carlo simulation using...

We present a flexible approach for the valuation of interest rate derivatives based on Affine Processes. We extend the methodology proposed in Keller-Ressel et al. (2009) by changing the choice of the state space. We provide semi-closed-form solutions for the pricing of caps and floors. We then...

Since the Financial Crisis in 2009, interest rate derivative markets have witnessed a dramatic change in the valuation, especially with respect to cash-flow discounting, forward curve building und counterpart risks. The application of OIS discount curve to value collateralised interest...

The paper analyzes one of the most common life insurance products — the so-called participating (or with profits) policy. This type of contract stands in contrast to unit-linked (UL) products in that interest is credited to the policy periodically according to some mechanism which smoothes...

We construct multi-currency models with stochastic volatility and correlated stochastic interest rates with a full matrix of correlations. We first deal with a foreign exchange (FX) model of Heston-type, in which the domestic and foreign interest rates are generated by the short-rate process of...

This article describes the expectation and measure groups of the quadratic Gaussian algebra, and consider their application in the pricing of interest rate and cross asset derivatives. The discussion is motivated by the desire to construct consistent, arbitrage-free, term structure pricing...

We define an equity-interest rate hybrid model in which the equity part is driven by the Heston stochastic volatility [Hes93], and the interest rate (IR) is generated by the displaced-diffusion stochastic volatility Libor Market Model [AA02]. We assume a non-zero correlation between the main...

In this article we define a multi-factor equity-interest rate hybrid model with non-zero correlation between the stock and interest rate. The equity part is modeled by the Heston model [Heston-1993] and we use a Gaussian multi-factor short rate process [Brigo,Mercurio-2007; Hull-2006]. By...

Classical interest rate models were formulated under the no-arbitrage assumption of a unique yield curve. However, in the outbreak of the 2007 global financial crisis, market interest rates witnessed unprecedented segmentation, and this instigated the modelling of a basis spread, whose...