CIRJE-F-988 | "Choice of Collateral Currency Updated |
Author Name | Fujii, Masaaki and Akihiko Takahashi |
Date | August 2015 |
Full Paper | PDF file |
Remarks | Revised as CIRJE-F-1000 (2016). |
Abstract |
Collateralization with daily margining and the so-called OIS-discounting have become a new standard in the post-crisis financial market. Although there appeared a large amount of literature to deal with a so-called multi-curve framework, a complete picture for a multi-currency setup with currency funding spreads, which are necessary to explain non-zero cross currency basis, can be rarely found since our initial attempts [9, 10, 11]. This note gives an extension of these works regarding a general framework of interest rates for a fully collateralized market. We provide a new formulation of the currency funding spread which is more suitable in the presence of non-zero correlation to the collateral rates. In particular, the last half of the paper is dedicated to develop a discretization of the HJM framework including stochastic collateral rates, LIBORs, foreign exchange rates as well as currency funding spreads with a fixed tenor structure, which makes it readily implementable as a traditional Market Model of interest rates. |