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1. Today is May 15, 2000, and the current, semi-annually compounded yield curve is in Table 3.6. Compute the duration for the following securities: (a)

1. Today is May 15, 2000, and the current, semi-annually compounded yield curve is in Table 3.6. Compute the duration for the following securities:

(a) 3-year zero coupon bond

(b) 3 1/4-year coupon bond paying 6% semiannually

(c) 1-year coupon bond paying 4% quarterly

(d) 6-year floating rate bond with a zero spread, paying semiannually

(e) 3-year floating rate bond with a 35 basis point spread, paid semiannually

(f) 4 1/4 year floating rate bond with 50 basis point spread, paid semiannually

table 3.6

maturity yield maturity yield maturity yield
0.25 4.33% 2.75 4.86% 5.25 4.39%
0.5 4.49% 3 4.83% 5.5 4.31%
0.75 4.62% 3.25 4.80% 5.75 4.24%
1 4.71% 3.5 4.76% 6 4.15%
1.25 4.79% 3.75 4.72% 6.25 4.05%
1.5 4.84% 4 4.67% 6.5 3.94%
1.75 4.87% 4.25 4.62% 6.75 3.81%
2 4.88% 4.5 4.57% 7 3.67%
2.25 4.89% 4.75 4.51% 7.25 3.50%
2.5 4.88% 5 4.45% 7.5 3.31%

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