Today is November 3, 2008. Table 22.3 provides the caps and swap rates quotes on this date.
Question:
(a) Fit the two-factor Hull-White model to the cap prices. Is there any gain compared to the one-factor Hull-White model (discussed in Chapter 19)?
(b) Given the volatility estimates, fit the model to the LIBOR curve.
(c) Use the model to price a European swaption, whose quotes are available in Table 20.6 in Chapter 20. How well does the model do?
Transcribed Image Text:
Maturity Swap Rates Swaption Vols Volatilities 3M 6M 60.6 .5 37.7 42.32/43.32 42.32/43.32 ¡Y Caps Floors I Y 2 Y 3 Y 4 Y 5 Y 7 Y I0 Y 23462 41.3 40.3 32.32.26 605961 3.808/822 46.6 40.3 34.1 32.24/33.24 32.24/33.24 4.171/197 41.3 36.3 314 27.82/28.82 27.82/28.82 4.422/462 36.8 33.1 29.0 24.21/25.2 2421/25.21 2.412/452 2.619/633 3.120/160 3,507/547 67.8 49.3 59.7 528 52.8 48.7 42.5 377 S2,2659 35.99/36.99 52.26/53.26 52.26/53.26 48.7 46541.6 60.59 35.99/36.99 36.8 36,3 34 35,9032
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a Figure presents the cap prices under the HullWhite models Single Factor and 2Factor as well as ...View the full answer
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Fixed Income Securities Valuation Risk and Risk Management
ISBN: 978-0470109106
1st edition
Authors: Pietro Veronesi
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