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Karolina [17]
2 years ago
14

At an annual effective interest rate of 6.3%, an annuity immediate with 4N level annual payments of 1,000 has a present value of

14,113. Determine the fraction (in percentage) of the total present value represented by the first set of N payments and the third set otâ…£ payments combined.
Business
1 answer:
LuckyWell [14K]2 years ago
8 0

Answer:

$8,949.22

Explanation:

PV = annual payment x PV annuity factor

PV annuity factor = 14,133 / 1,000 = 14.133

PV annuity factor = [1 - 1/(1 + 0.063)ⁿ ] / 0.063

14.133 x 0.063 = 1 - 1/(1 + 0.063)ⁿ

0.890379 = 1 - 1/(1 + 0.063)ⁿ

1/(1 + 0.063)ⁿ = 0.109621

1 / 0.109621 = 1.063ⁿ

9.12234 = 1.063ⁿ

n = log 9.12234 / log 1.063 = 0.96010624 / 0.0265333 = 36

the present value of the first 36/4 = 9 payments = $1,000 x 6.71376 (PV annuity factor, 9 periods, 6.3%) = $6,713.76

the present value of the third set of 9 payments = $6,713.76 / (1 + 6.3%)¹⁸ = $2,235.46

present value of the first and third sets = $8,949.22

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7 0
3 years ago
Maria Lorenzi owns an ice cream stand that she operates during the summer months in West Yellowstone, Montana. She is unsure how
ddd [48]

Answer:

1. $2,185

2. Percentage increase 14%. Sales decrease -22%

3. $1,805

4. -17.4%

Explanation:

1. In calculating the profit for the first week we will simply deduct the costs from the sales.

= Sales - Fixed Costs - Variable costs

= (1,800 cones * 3.5) - 2,675 - ( 1,800 cones * 0.8)

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2. Percentage increase in selling price will be,

= 4-3.5/3.5 * 100%

= 14%

Percentage decrease in sales

= 1,400 - 1,800 / 1,800 * 100%

= -22%

3. Using the first questions method we have,

= (1,400 * 4) - 2,675 - (1,400 * 0.8)

= 5,600 - 2,675 - 1,120

= $1,805

$1,805 is her profit for the second week.

4. Decrease in profit

= $1,805 - $2,185 / 2,185 * 100%

= -17.4%

Maria Lorenzi suffered a decrease in profit of -17.4% as a result of raising her prices by 14%.

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3 years ago
Ralph pays his workers $ 100 each, and labor is the only variable cost. At a quantity of 5000 chickens, how many workers does he
Flura [38]

Answer:

He hires 8 workers

Explanation:

The total cost is $1600 for 5,000 chickens minus the fixed cost of  $800, which equals $800. The total cost is total of fixed cost and variable cost as in absence of production the total variable cost is zero so from this we can conclude that total fixed cost is zero.

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Answer:

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MV=?

Do=2.27

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Mv=2.27(1+2.1%)/(14.56%-2.1%)

MV=2.75/(12.46%)

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Dividend yield=dividend per share/share price per share

Dividend yield=2.27/22.1

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