In this section, we derive valuation expressions for floating-rate coupon payments.
The value of a floating-rate note or bond can then be obtained by summing the values of the floating-rate coupons and the value of the terminal principal payment as given in the previous section.
Let F(X, r, T, T) represent the value of one floating-rate coupon payment to be made at time
T, where the floating rate is determined at time T, T 5 T.
The payoff on this claim at time T is the value of r at time T if default does not occur prior to T, and (1 - w)r if it does. This payoff function can be expressed as
In this section, we derive valuation expressions for floating-rate coupon payments. The value of a floating-rate note or bond can then be obtained by summing the values of the floating-rate coupons and the value of the terminal principal payment as given in the previous section. Let F(X, r, T, T) represent the value of one floating-rate coupon payment to be made at timeT, where the floating rate is determined at time T, T 5 T. The payoff on this claim at time T is the value of r at time T if default does not occur prior to T, and (1 - w)r if it does. This payoff function can be expressed as
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