On July 1, 2013, the FHLMC 30-Year Generic 4% 2012 was analyzed using the Monte Carlo valuation

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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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