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The paper outlines Monte-Carlo simulation procedures for the pricing of swaptions under the discrete-time arbitrage-free Nelson-Siegel (DTAFNS) model of Eghbalzadeh et al. (2022). In particular, the forward measure dynamics of term structure factors are derived, leading to a semi-analytic...
Persistent link: https://www.econbiz.de/10014355775
As more and more jurisdictions transition from LIBOR-type interest rate benchmarks to new riskfree rate (RFR) benchmarks based on overnight rates, such as SOFR in the US, it is important to adapt interest rate term structure models to reflect this. In particular, overnight rates are largely...
Persistent link: https://www.econbiz.de/10014236218
With nominal interest rates near the zero lower bound (ZLB) in many major economies, it has become untenable to apply Gaussian affine term structure models (GATSMs) while ignoring their inherent theoretical deficiency of non-zero probabilities of negative interest rates. In this article I...
Persistent link: https://www.econbiz.de/10013110640
We investigate the term structure of forward and futures prices for models where the price processes are allowed to be driven by a general marked point process as well as by a multidimensional Wiener process. Within an infinite dimensional HJM-type model for futures and forwards we study the...
Persistent link: https://www.econbiz.de/10009502719
We consider interest rate models of Heath-Jarrow-Morton type where the forward rates are driven by a multidimensional Wiener process, and where the volatility structure is allowed to be a smooth functional of the present forward rate curve. In a recent paper (to appear in "Mathematical Finance"...
Persistent link: https://www.econbiz.de/10009502721
Persistent link: https://www.econbiz.de/10009724144
This paper makes use of an integrated benchmark modeling framework that allows us to derive term structure equations for bond and forward prices. The benchmark or numeraire is chosen to be the growth optimal portfolio (GOP). For deterministic short rate the solution of the bond term structure...
Persistent link: https://www.econbiz.de/10011523699
The zero-coupon yield curve is a common input for most financial purposes. The authors consider three popular yield curve datasets, and explore the extent to which the decision as to what dataset to use for an application may have implications on the results. The paper illustrates why such...
Persistent link: https://www.econbiz.de/10011901875
In this paper, I study risk-neutral probability densities regarding future Libor rates denominated in British pounds, euros, and US dollars as implied by option prices. I apply Breeden and Litzenberger's (1978) result regarding the relationship between option prices and implied probabilities for...
Persistent link: https://www.econbiz.de/10011563200
The uncertainty around future changes to the Federal Reserve target rate varies over time. In our results, the main driver of uncertainty is a "path" factor signaling information about future policy actions, which is filtered from federal funds futures data. The uncertainty is highest when it...
Persistent link: https://www.econbiz.de/10011576374