TY - JOUR
T1 - The nature of the dependence of the magnitude of rate moves on the rates levels
T2 - A universal relationship
AU - Deguillaume, Nick
AU - Rebonato, Riccardo
AU - Pogudin, Andrey
N1 - © 2013 Copyright Taylor and Francis Group, LLC.
Not freely accessible but may have access through institution
PY - 2013/3/8
Y1 - 2013/3/8
N2 - We look at the dependence of the magnitude of rate moves on the level of rates, and we find a universal relationship that holds across currencies and over a very extended period of time (almost 50 years). For the very low level of rates, we find a proportional behaviour; for rates of an intermediate level we find that the magnitude of moves becomes independent of the level. The linear dependence resumes, however, for very high rates. We find the results to be very robust across currencies, tenors and time periods. Even the data we have collected for the UK Consol yields going back to the XIX century conform closely to the same pattern. We discuss the importance of these findings for several theoretical and practical applications.
AB - We look at the dependence of the magnitude of rate moves on the level of rates, and we find a universal relationship that holds across currencies and over a very extended period of time (almost 50 years). For the very low level of rates, we find a proportional behaviour; for rates of an intermediate level we find that the magnitude of moves becomes independent of the level. The linear dependence resumes, however, for very high rates. We find the results to be very robust across currencies, tenors and time periods. Even the data we have collected for the UK Consol yields going back to the XIX century conform closely to the same pattern. We discuss the importance of these findings for several theoretical and practical applications.
KW - Constant elasticity of variance
KW - Implied volatilities
KW - Interest rates
KW - Realised volatility
UR - http://www.scopus.com/inward/record.url?scp=84875308143&partnerID=8YFLogxK
U2 - 10.1080/14697688.2012.740569
DO - 10.1080/14697688.2012.740569
M3 - Article
AN - SCOPUS:84875308143
SN - 1469-7688
VL - 13
SP - 351
EP - 367
JO - Quantitative Finance
JF - Quantitative Finance
IS - 3
ER -