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Feliz [49]
3 years ago
9

You won the lottery and may choose between Prize 1, which would pay you $50,000 today and $200,000 at the end of 10 years OR rec

eive $50,000 today plus some annuity at the end of each year for 10 years. Using an interest rate of 5%, which of the following comes closest to the annuity that will make the present value of both prizes the same?
a. $172,782.65.
b. $38,431.68.
c. $122,782.65.
d. $15,900.91.
Business
1 answer:
Taya2010 [7]3 years ago
5 0

Answer:

Annual payment= $15,900.91

Explanation:

<u>First, we need to calculate the present value of Prize 1:</u>

PV= FV / (1 + i)^n

PV= 50,000 + [200,000 / (1.05^10)]

PV= $172,782.65

<u>Now, we need to determine the annuity that would make equal both prizes:</u>

Difference= 172,782.65 - 50,000= $122,782.65

To calculate the annuity that would have a PV of $122,782.65; we need to use the following formula:

Annual payment= (PV*i) / [1 - (1+i)^(-n)]

Annual payment= (122,782.65*0.05) / [1 - (1.05^-10)]

Annual payment= $15,900.91

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lakkis [162]

Answer:

Net income= 41,806.8

Explanation:

Giving the following information:

The following inventory information for August:

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August 18 Sold 1,900 units

August 23 Purchased 900 units at $24 cost per unit

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August 29 Sold 2,000 units

August 30 Purchased 1,500 units at $37 cost per unit

During August, Booth Company reported operating expenses of $23,000 and had an income tax rate of 37%

First, we need to calculate the revenues for August.

Weighted-average cost= (15 + 25 + 24 + 19 + 37)/5= $24

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Cost, LIFO method:

COGS= 700*19 + 900*24 + 1700*25 + 1900*15= 105,900

Income statement:

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Gross profit= 89,360

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EBIT= 66,360

Tax= 24,553.2 (-)

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5 0
4 years ago
A boardwalk game of chance costs $2 to play. You have a 10% chance of winning $1 back, a 25% chance of winning back your entire
Fiesta28 [93]

Answer:

Thus, expected value of playing = $2.8 - $2 = $0.8

Explanation:

Cost of playing = $2

Expected return

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25% chance to win back $2 = $2 \times 25% = $0.5

50% chance to win $5 = $5 \times 50% = $2.5

15% chance to lose $2 (being cost) = $2 \times 15% = ($0.3)

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Answer:

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Explanation:

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Firms earn income when households purchase goods and services from them.

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