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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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Answer: 1.356345

Explanation:

Based on the scenario and information provided in the question, the 90-day forward rate will be calculated as:

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3 years ago
Current operating income for Bay Area Cycles Co. is $34,000. Selling price per unit is $100, the contribution margin ratio is 25
leonid [27]

Answer:

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margin ratio = 25%

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Bay Area Cycle’s break even point in units and total sales dollars

solution

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break even point in unit =  \frac{136000}{100*0.25}

break even point in unit =5440 units

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break even point in sales =  \frac{fixed\ cost}{margin\ ratio}   ..................2

break even point in sales = \frac{136000}{0.25}

break even point in sales = $544000

and

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g Liabilities of the commercial banking system include Question 69 options: A) deposits. B) loans and deposits. C) reserves and
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8 0
2 years ago
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