On July 1, 2013, the FHLMC 30-Year Generic 4% 2012 was analyzed using the Monte Carlo valuation
Question:
On July 1, 2013, the FHLMC 30-Year Generic 4% 2012 was analyzed using the Monte Carlo valuation model of FactSet. At the time of the analysis the security’s price was 104.644 with accrued interest of 0.300 (per $100 par value). Summary information about the security is as follows:
The results of a simulation using 200 interest-rate path are reproduced as follows:
YTM (%) | 2.981 |
Average Life | 5.307 |
Modified Duration | 4.551 |
Effective Duration | 4.135 |
Effective Convexity | –1.905 |
Partial Duration—6 Month | –0.088 |
Partial Duration—1 Year | 0.097 |
Partial Duration—2 Year | 0.516 |
Partial Duration—5 Year | 1.500 |
Partial Duration—10 Year | 1.806 |
Partial Duration—30 Year | 0.304 |
Spread Duration | 4.338 |
Spread (TRSY) | 1.585 |
Z-Spread | 97.232 |
OAS (TRSY) | 95.158 |
OAS (Libor) | 77.909 |
Projected CPR (PB WAVG) | 14.870 |
Projected PSA (PB WAVG) | 278.342 |
(a) Explain the meaning of each of the measures above.
(b) Given the computed convexity measure, how is this pass-through security expected to perform compared to a comparable Treasury security if the term structure of Treasury rates decreases substantially in a parallel fashion?
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