rate (or static) spread, we assume that the mortgage current coupon
remains at its current level for the life of the mortgage; for the forward
rate spread, the prepayment speeds are based on forward rates. Table
2 shows the prepayment rates and yields under the two assumptions. The
difference between the two spreads is the forward cost. In this case
there is a benefit. The steep yield curve slows down prepayments. These
bonds gain in value as the high coupon is earned for a longer time.
In this way, these bonds act like IOs.
The three bonds show varying levels of benefit, with the 6s and 6.5s
gaining over 50 basis points of value from so-called "hedge value."
Thus, the net OAS for these bonds represents a combination of a "hedge
value" and option cost.
Some of this hedge value is exhibited in the average life. For example,
the Fannie Mae 6 has an average life of about 1.3, which, under forward
rates, can double to 2.6 years, yet its effective duration is only 0.6
years, as shown in Table 3.
This combination of features makes these bonds somewhat difficult to
value and difficult to hedge. Changes in the level and shape of the
yield curve and changes in prepayment expectations can have significant
impact on value and risk.
Investors who have been involved with IOs recognize these features.
For those who have avoided IOs in the past, the current market is providing
a startling introduction to the characteristics of the IO features imbedded
in premiums.
Table 1: FNMA 30yr on May 16, 2003
|
Net Coupon
|
OAS
|
Option
Cost |
Fwd
|
Fwd
Cost |
Stable
|
|
5.5
|
13
|
-75
|
88
|
-18
|
70
|
|
6.0
|
16
|
-63
|
79
|
-54
|
25
|
|
6.5
|
50
|
-48
|
98
|
-52
|
46
|
>>>