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You have built the following interest rate tree for the next 3 years: Time 1 (%) Time 2 (%) Time 3 (%) i3hh = 5.71

You have built the following interest rate tree for the next 3 years:

Time 1 (%) Time 2 (%) Time 3 (%)
i3hh = 5.71
i2h = 3.92
i1 = 2.52 i3hl = i3lh = 4.40
i2l = 3.46
i3ll = 3.55

You are interested in valuing a 3 year floating rate bond with coupon rate set in arrears at a credit spread of 53 bps. The coupon is capped at 4.50%, and floored at 3.69%.

What is the value of this bond per $100 of par value?

Correct answer: 100.05

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