Given the table below, the question asked us to pick the MBS that offers the highest value relative to the cost of the option. (Question wants us to assume the effective durations are the same for all.)
MBS
Initial
Principal
($millions)
Coupon
Rate
Underlying
Maturity
(years)
Nominal
Spread
OAS
Z-spread
W
250
7.0%
30
1.21%
0.28%
0.79%
X
175
7.8%
25
1.43%
0.49%
1.16%
Y
225
7.2%
20
1.62%
0.31%
1.12%
Z
190
8.0%
30
1.59%
0.40%
1.14%
MBS-X has the highest OAS relative to the cost of the option embedded in the MBS. Therefore, it is the most attractive of the four alternatives.
I don’t understand why we look at the OAS relative to the cost of the option? Why would this show us which investment has the most value relative to risk? Why can’t we just look at the Z-spread for this purpose?
Maybe since the question tells us to assume the effective durations are equal, we are supposed to assume the same intrerest rate risk for all of these investments, and therere we move on to risk relative to the cost of the option?
Bottom line- it seems like if the question asks to pick the investment with the higest value relative to risk, it seems to me like the Z-spread would do that- and I can’t wrap my head around why we’d look at the OAS spread relative to the cost of the option (Z spread- OAS)
thanks!
MBS
Initial
Principal
($millions)
Coupon
Rate
Underlying
Maturity
(years)
Nominal
Spread
OAS
Z-spread
W
250
7.0%
30
1.21%
0.28%
0.79%
X
175
7.8%
25
1.43%
0.49%
1.16%
Y
225
7.2%
20
1.62%
0.31%
1.12%
Z
190
8.0%
30
1.59%
0.40%
1.14%
MBS-X has the highest OAS relative to the cost of the option embedded in the MBS. Therefore, it is the most attractive of the four alternatives.
I don’t understand why we look at the OAS relative to the cost of the option? Why would this show us which investment has the most value relative to risk? Why can’t we just look at the Z-spread for this purpose?
Maybe since the question tells us to assume the effective durations are equal, we are supposed to assume the same intrerest rate risk for all of these investments, and therere we move on to risk relative to the cost of the option?
Bottom line- it seems like if the question asks to pick the investment with the higest value relative to risk, it seems to me like the Z-spread would do that- and I can’t wrap my head around why we’d look at the OAS spread relative to the cost of the option (Z spread- OAS)
thanks!