Question 6.T-Y-S.J: Your rich uncle has offered you two living trust payouts for...

Your rich uncle has offered you two living trust payouts for the rest of your life. The positive cash flows of each trust are shown below. If your personal MARR is 10 \% per year, which trust should you select? (6.5)

End of Year Trust A Trust B
0 $0 $0
1–10 $1,000 $1,200
11–∞ $1,500 $1,300

Note: At 10 \% per year interest, infinity occurs when N=80 years.

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Compare the annual worth of the two infinite series:

\begin{aligned}&\mathrm{AW}_{\mathrm{A}}(10 \%)=\$ 1,000+[\$ 500 / 0.10](P / F, 10 \%, 10)(A / P, 10 \%, \infty)=\$ 1,192.75 \\&\mathrm{AW}_{\mathrm{B}}(10 \%)=\$ 1,200+[\$ 100 / 0.10](P / F, 10 \%, 10)(A / P, 10 \%, \infty)=\$ 1,238.55\end{aligned}

Select Trust B.

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