John Wins the Lottery and Has the Following Three Payout

question 41

Multiple Choice

John wins the lottery and has the following three payout options for after-tax prize money:
1) $162,000 per year at the end of each of the next six years
2) $308,000 (lump sum) now
3) $520,000 (lump sum) six years from now
The required rate of return is 9%.What is the present value if he selects the first option? Round to nearest whole dollar.
Present value of annuity of $1:
$$\begin{array} { | r | r | r | r | } \hline & 8 \% & 9 \% & 10 \% \\\hline 1 & 0.926 & 0.917 & 0.909 \\\hline 2 & 1.783 & 1.759 & 1.736 \\\hline 3 & 2.577 & 2.531 & 2.487 \\\hline 4 & 3.312 & 3.24 & 3.17 \\\hline 5 & 3.993 & 3.89 & 3.791 \\\hline 6 & 4.623 & 4.486 & 4.355 \\\hline 7 & 5.206 & 5.033 & 4.868 \\\hline\end{array}$$
Present value of $1:
$$\begin{array} { | l | r | r | r | } \hline & { 8 \% } & { 9 \% } & 10 \% \\\hline 1 & 0.926 & 0.917 & 0.909 \\\hline 2 & 0.857 & 0.842 & 0.826 \\\hline 3 & 0.794 & 0.772 & 0.751 \\\hline 4 & 0.735 & 0.708 & 0.683 \\\hline 5 & 0.681 & 0.65 & 0.621 \\\hline 6 & 0.63 & 0.596 & 0.564 \\\hline 7 & 0.583 & 0.547 & 0.513 \\\hline\end{array}$$

• A) $468,052
• B) $810,000
• C) $726,732
• D) $470,000

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Definitions:

Political Incentive

A reason or motivation based on political goals or outcomes, influencing the actions of politicians or governments.

New Deal

A series of programs, public work projects, financial reforms, and regulations enacted by President Franklin D. Roosevelt in the United States during the 1930s to help recover from the Great Depression.

Great Depression

A severe worldwide economic depression that took place mostly during the 1930s, beginning in the United States.

Economic Policy

Economic policy refers to the actions that governments take in the economic field covering taxation, government budgets, money supply, interest rates, and labor market regulations.