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Amanda Is Ready to Retire and as a Retirement Benefit

Question 64

Multiple Choice

Amanda is ready to retire and as a retirement benefit, she can choose to take $380,000 now or $50,000 at the end of each year for a period of 10 years. To compare the two options, she must calculate the present value of both alternatives. She believes a discount rate of 5% would be the most appropriate rate to apply. How much is the present value if she takes the cash as a lump sum right now? Please refer to the following data, if needed:
 Present Value of  an Annuity of $1 15%6%7%8%9%10%21.9520.9430.9350.9260.9170.90932.7232.831.8081.7831.7591.73643.5463.4652.6242.5772.5312.48754.3294.214.1003.3123.2403.17065.0764.9174.7674.6233.8903.7975.7865.585.3895.2065.0334.35586.4636.2105.9715.7475.5355.33597.1086.806.5156.2475.9955.759107.7227.3607.0246.7106.4186.145\begin{array} { | r | r | r | r | r | r | r | } \hline \begin{array} { r } \text { Present Value of } \\\text { an Annuity of \$1 }\end{array} & & & & & & \\ \hline 1 & 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \% \\\hline 2 & 1.952 & 0.943 & 0.935 & 0.926 & 0.917 & 0.909 \\\hline 3 & 2.723 & 2.83 & 1.808 & 1.783 & 1.759 & 1.736 \\\hline 4 & 3.546 & 3.465 & 2.624 & 2.577 & 2.531 & 2.487 \\\hline 5 & 4.329 & 4.21 & 4.100 & 3.312 & 3.240 & 3.170 \\\hline 6 & 5.076 & 4.917 & 4.767 & 4.623 & 3.890 & 3.79 \\\hline 7 & 5.786 & 5.58 & 5.389 & 5.206 & 5.033 & 4.355 \\\hline 8 & 6.463 & 6.210 & 5.971 & 5.747 & 5.535 & 5.335 \\\hline 9 & 7.108 & 6.80 & 6.515 & 6.247 & 5.995 & 5.759 \\\hline 10 & 7.722 & 7.360 & 7.024 & 6.710 & 6.418 & 6.145 \\\hline\end{array}


A) $380,000
B) $386,100
C) $321,000
D) $399,000

Correct Answer:

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