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I study the relationship between interest rates and interest-rate volatility, particularly the idea of unspanned stochastic volatility (USV): volatility risk that cannot be hedged with bonds or swaps. Simulated data is used to assess the ability of regression-based techniques, popular but...
Persistent link: https://www.econbiz.de/10012903769
We present a Graphics Processing Unit (GPU) parallelization of the computation of the price of exotic cross-currency interest rate derivatives via a Partial Differential Equation (PDE) approach. In particular, we focus on the GPU-based parallel pricing of long-dated foreign exchange (FX)...
Persistent link: https://www.econbiz.de/10013133913
The pricing of the European cash-settled swaptions is analysed. The standard market formula results are compared to results obtained from different models. Significant discrepancies are observed, justifying the title
Persistent link: https://www.econbiz.de/10013132576
The Libor Market Model (LMM) describes the evolution of a yield curve through equations for a discrete set of forward rates. In the original version, the rate dynamic was log-normal. The rate dynamic has been extended. The main result presented here is a generic approximation that provides an...
Persistent link: https://www.econbiz.de/10013136313
We model the dynamics of asset prices and associated derivatives by considerationof the dynamics of the conditional probability density process for the value of an assetat some specied time in the future. In the case where the asset is driven by Brownianmotion, an associated \master equation"...
Persistent link: https://www.econbiz.de/10009486978
The "SSVI" (aka "S3") implied volatility curve is the simplest curve that has three parameters to describe the at-the-money behavior of implied volatilities for a given term, while also having a sensible functional form in the call and put wings. We describe the necessary and sufficient...
Persistent link: https://www.econbiz.de/10013000002
We introduce a new stochastic volatility model that includes, as special instances, the Heston (1993) and the 3/2 model of Heston (1997) and Platen (1997). Our model exhibits important features: first, instantaneous volatility can be uniformly bounded away from zero, and second, our model is...
Persistent link: https://www.econbiz.de/10013005668
According to IFRS 9, an Entity shall assess - by performing a quantitative assessment - the relevance of the modification of the time value of money element, i.e. the modification of the interest that can be observed, e.g. in all the instruments whose underlying interest rate tenors are...
Persistent link: https://www.econbiz.de/10012946977
In this paper we apply the multivariate construction for Lévy processes introduced by Ballotta and Bonfiglioli (2014) to propose an integrated model for the joint dynamics of FX exchange rates and asset prices. We show that the proposed construction is consistent in terms of symmetries with...
Persistent link: https://www.econbiz.de/10013027591
Guaranteed withdrawal benefits (GWBs) are long term contracts which provide investors with equity participation while guaranteeing them a secured income stream. Due to the long investment horizons involved, stochastic volatility and stochastic interest rates are important factors to include in...
Persistent link: https://www.econbiz.de/10013037340