The dollar-offset method is arguably
the simplest approach to assessing ineffectiveness, but
it is also the most sensitive. Effie Miskouri, a
researcher with Centre for Quantitive Finance (CQF) at
the Imperial College in the UK working with Cygnifi (a
risk ASP), created an example of a simple swap and
tested its effectiveness as a hedge based on the dollar
offset, 80-120 ratio and regression analysis.
The results (see below) demonstrate
that regression (or statistical analysis) is likely to
smooth out more of the ineffectiveness generated, even
in simple hedges, than the other two methods.
An
example using a swap paying three-month LIBOR and
receiving quarterly fixed to hedge a one-month LIBOR
stream, both with start and maturity dates 01/01/00 and
01/01/02 respectively, highlights the importance of
effectiveness choices, Ms. Miskouri points out. The
swap/hedge were tested and the following results were
obtained:
| |
|
MTM
change |
|
Cumulative
MTM change |
| |
Monthly |
Quarterly |
Quarterly
average |
Monthly |
Quarterly |
Quarterly
average |
|
80-125 |
Ineffective |
Ineffective |
Ineffective |
Ineffective |
Ineffective |
Ineffective |
|
Dollar
Offset |
Ineffective |
Ineffective |
Ineffective |
Ineffective |
Ineffective |
Ineffective |
Regression
Analysis |
Ineffective |
Effective |
Ineffective |
Ineffective |
Ineffective |
Ineffective |
The
results obtained indicated that this particular hedge
was effective only when performing the regression
analysis on quarterly MTM changes. All the other tests
yielded a non-effective hedge. This example, says Ms.
Miskouri, illustrates a key point about implementing
effectiveness tests: “Different results yield not only
from different methods but also from choosing different
time periods for the same
tests.”