Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/201638 
Year of Publication: 
2019
Series/Report no.: 
Center for Mathematical Economics Working Papers No. 613
Publisher: 
Bielefeld University, Center for Mathematical Economics (IMW), Bielefeld
Abstract: 
We show how to set up a forward rate model in the presence of volatility uncertainty by using the theory of G-Brownian motion. In order to formulate the model, we extend the G-framework to integration with respect to two integrators and prove a version of Fubini's theorem for stochastic integrals. The evolution of the forward rate in the model is described by a diffusion process, which is driven by a G-Brownian motion. Within this framework, we derive a sufficient condition for the absence of arbitrage, known as the drift condition. In contrast to the traditional model, the drift condition consists of two equations and two market prices of risk, respectively, uncertainty. Furthermore, we examine the connection to short rate models and discuss some examples.
Subjects: 
Robust Finance
Knightian Uncertainty
Interest Rates
No-Arbitrage
JEL: 
G12
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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