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A three-year floating rate bond pays annual coupons of one-year Libor (set in arrears) and is floored at 3.000%. The Libor swap curve is as

A three-year floating rate bond pays annual coupons of one-year Libor (set in arrears) and is floored at 3.000%. The Libor swap curve is as given in the below table (i.e, 1 year = 2.5000%, 2 year =3.000%, 3 year = 3.500%, respectively), and interest rate volatility is 10%. The amount 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 floored floater is $______________________. (Note: Round to the thousandths.)

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