The information given shows that the macaulay duration for the bond will be 2.73.
From the information, the annual coupon bond has coupons of 10 per year starting 1 year from now and matures in 3 years for amount 100 and the YTM for the bond is 11.8% effective annual.
The Macaulay duration for the bond will be:
= [3 × 100(1/1.18)³ + 10(1/1.18) + 2(1/1.18)² + 3(1/1.18)³] / [100(1/1.18)³ + 10(1/1.18) + (1/1.18)² + (1/1.18)³]
= 261.1/95.7
= 2.73
The macaulay duration for the bond is 2.73.
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