Applying the common evaluation techniques based on Discounted Cash Flows
(DCFs) analysis, the present value of a bond is obtained by discounting the expected cash
flows stream F = [f1,
f2,
,
fn] by an appropriate series of interest rates R = [r1,
r2,
, rn].
According to the typical approach, the interest rate vector R is obtained by summing market risk-free rates, extracted from the current yield curve, and an appropriate
market credit spread, properly calibrated to offset the default risk of the borrower. This is a very common practice, and yet controversial, not only for the
possible inaccuracy in the present value calculation, but also for the significant repercussions
on the risk measurement framework. In this formula, the reaction of the present value to the fluctuations of
underlying factors is indeed intercepted by a single sensitivity
measure, the Modified Duration (MD) that approximates the change in value due to a minimal parallel shift of R.
In this way, we assign to risk-free rate changes and credit spread fluctuations the
same potential to affect the present value of a financial instrument, without distinguishing
the effects of interest rate risk from spread risk influence. It can be shown that this evaluation approach does not reproduce the real
dynamics of market prices that, in fact, react in a different measure to the changes in the two
risk classes. As a consequence, we observe a widespread tendency to underestimate the
market risk, especially for floating rate debts, with a significant impact on risk
measurement systems.
The strong spread widening, caused by the recent credit market turmoil, has led
to heavy slumps in the value of financial instruments exposed to the default risk, with
no substantial distinction between fixed rate and floating rate loans. This has revealed the insufficiency of the most common sensitivity measures and,
at the same time, highlighted the weakness of the typical evaluation approach based
on discounting expected cash flows by
spread-inclusive market rates. |