(only handwritten calculation answer) Today is Mya 15, 2000, and the current, semi-annually compounded yield curve is in Table 3.6. Compute the duration for the following securities. [Hint: Refer to the slide 3.2.3 Duration of a coupon bond. Calculate (1) discount factors from semi-annually compounded yields, (2) discounted cash flows, (3) weights, and (4) weighted average of coupon dates.]

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

(f) 1 1/4-year floating rate bond with 50 basis point spread, paid semiannually. Assume that the coupon applying to the next reset date has been set at r₂(0.25, 0.25) = 6.4%.

Table 3.6 Yield Curve on March 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%