John Doe Wins the Lottery and May Pick from the Following

question 10

Multiple Choice

John Doe wins the lottery and may pick from the following three choices:
Take $750,000 now.
Take $1,000,000 ten years from now.
Take $90,000 at the end of this year, and at the end of each following year for ten installments in total.
Assume that John Doe uses a discount rate of 5% to evaluate his choices. If he selects the second option, how much is the present value of that alternative?
$$\begin{array} { | r | r | r | r | r | r | r | } \hline\begin{array} { l } \text { Present } \\\text { Value of } \\\text {\$1 }\end{array} & & & & & & \\\hline& 5 \% & 6 \% & 7 \% & 8 \% & 9 \% & 10 \%\\\hline 1 & 0.952 & 0.943 & 0.935 & 0.926 & 0.917 & 0.909 \\\hline 2 & 0.907 & 0.890 & 0.873 & 0.857 & 0.842 & 0.826 \\\hline 3 & 0.864 & 0.840 & 0.816 & 0.794 & 0.772 & 0.751 \\\hline 4 & 0.823 & 0.792 & 0.763 & 0.735 & 0.708 & 0.683 \\\hline 5 & 0.784 & 0.747 & 0.713 & 0.681 & 0.650 & 0.621 \\\hline 6 & 0.746 & 0.705 & 0.666 & 0.630 & 0.596 & 0.564 \\\hline 7 & 0.711 & 0.665 & 0.623 & 0.583 & 0.547 & 0.513 \\\hline 8 & 0.677 & 0.627 & 0.582 & 0.540 & 0.502 & 0.467 \\\hline 9 & 0.645 & 0.592 & 0.544 & 0.500 & 0.460 & 0.424 \\\hline 10 & 0.614 & 0.558 & 0.508 & 0.463 & 0.422 & 0.386 \\\hline\end{array}$$

• A) $614,000
• B) $1,000,000
• C) $750,000
• D) $798,000

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Definitions:

Depreciation

The accounting method of allocating the cost of a tangible or physical asset over its useful life, representing how much of the asset's value has been used up.

Equipment

Tangible property owned by a business that is used in its operations to generate income, having a useful life beyond one year.

Net Income

The net income of a company following the deduction of all expenses, taxes, and costs from its total revenues.

Prepaid Insurance

An asset account that represents insurance payments made in advance for insurance coverage that applies to future periods.