Today is May15,2000, and the current , semi-annually compounded yield curve is in Table3.6.Compute the duration for the following securities:

(d) 6-year coating rate bond with a zero spread, paying semi annually

(f)41/4year coating rate bond with 50 basis point spread , paid semi annually

Please explain using excel. Thank you.

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Table 3.6 Yield Curve on May 15, 2000 Maturity Yield Maturity Yield Maturity Yield 0.25 6.33% 2.75 6.86% 5.25 6.39% 0.50 6.49% 3.00 6.83% 5.50 6.31% 0.75 6.62% 3.25 6.80% 5.75 6.24% 1.00 6.71% 3.50 6.76% 6.00 6.15% 1.25 6.79% 3.75 6.72% 6.25 6.05% 1.50 6.84% 4.00 6.67% 6.50 5.94% 1.75 6.87% 4.25 6.62% 6.75 5.81% 2.00 6.88% 4.50 6.57% 7.00 5.67% 2.25 6.89% 4.75 6.51% 7.25 5.50% 2.50 6.88% 5.00 6.45% 7.50 5.31% Notes: Yields are calculated based on data from CRSP (Daily Treasuries). Table 3.6 Yield Curve on May 15, 2000 Maturity Yield Maturity Yield Maturity Yield 0.25 6.33% 2.75 6.86% 5.25 6.39% 0.50 6.49% 3.00 6.83% 5.50 6.31% 0.75 6.62% 3.25 6.80% 5.75 6.24% 1.00 6.71% 3.50 6.76% 6.00 6.15% 1.25 6.79% 3.75 6.72% 6.25 6.05% 1.50 6.84% 4.00 6.67% 6.50 5.94% 1.75 6.87% 4.25 6.62% 6.75 5.81% 2.00 6.88% 4.50 6.57% 7.00 5.67% 2.25 6.89% 4.75 6.51% 7.25 5.50% 2.50 6.88% 5.00 6.45% 7.50 5.31% Notes: Yields are calculated based on data from CRSP (Daily Treasuries).