Answer:
The answer is "1.93 years".
Explanation:
[tex]Macaula \ \ duration \ \ \ \ \ \ \ \ \ \ 1000 \times 8\%\\\\[/tex]
[tex]years \ \ \ \ cash \ flows \ \ \ \ pv\ of \ 6\%\ \ \ \ present \ value \ \ \ \ current \ value \ \ \ \ pv/current \ value \ \ \ \frac{pv}{cp}\times t[/tex][tex]\$80.00\ \ \ \ \ \ \ 0.9434 \ \ \ \ \ \ \ \$75.472 \ \ \ \ \ \ \ \$1,036.67 \ \ \ \ \ \ \ 0.0728 \ \ \ \ \ \ \ 0.0728\\\\\$ 1,080.00 \ \ \ \ \ \ \ 0.8900 \ \ \ \ \ \ \ \$961.196 \ \ \ \ \ \ \ \$1,036.67 \ \ \ \ \ \ \ 0.9272 \ \ \ \ \ \ \ 1.8544\\\\[/tex]
[tex]\$ 1,036.668 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1.92772\\\\[/tex]
that's why the Macaula duration is 1.93 years.
