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A three-year floating rate bond pays annual coupons of one-year Libor (set in arrears) and is capped at 5.600%. The Libor swap curve is as
A three-year floating rate bond pays annual coupons of one-year Libor (set in arrears) and is capped at 5.600%. The Libor swap curve is as given in the below table (i.e, 1 year = 2.5%, 2 year =3.0%, 3 year = 3.5%, respectively), and interest rate volatility is 10%. The par value is $100.
Maturity (year) | Par Rate (%) | Spot Rate (%) | One Year Forward Rate (%) |
1 | 2.500 | 2.500 | f(0,1) = 2.500 |
2 | 3.000 | 3.008 | f(1,2) = 3.518 |
3 | 3.500 | 3.524 | f(2,3) = 4.564 |
The value of the capped floater is $______________________. (Note: round to the nearest thousandths.
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