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Lesechka [4]
2 years ago
13

Calculate the present worth of a geometric gradient series with a cash flow of $35,000 in year 1 and increases of 5% each year t

hrough year 6. The interest rate is 10% per year.
Business
1 answer:
Zielflug [23.3K]2 years ago
8 0

Answer:

$145,038.567

Explanation:

Solution

Let

g = gradient percent (as a decimal in calculations)

i = interest percent (as a decimal in calculations)

n = number of periods

A1 = payment at EOY 1

A1 = $35,000; g = 5%; i = 10%; n = 6

Hence:

P = A1 ( P/ A1, g, i, n ) = 100 [ 1 – ( 1 + 0.05 )^5( 1 + 0.1 )^ –5 ] / ( 0.1 – 0.05 )

= $35000 [ 1 – 1.276815625 * 0.6209213230] / (0.05)

= $35000 [ 0.2071979529] / (0.05)

Therefore the present value  or worth of the geometric gradient series is

= $145,038.567

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Answer:

Windgate Company

1. Segmented Income Statement

                                              Company         East          Central        West

Sales                                    $ 1,645,000  $445,000  $610,000 $590,000

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Contribution margin               1,021,050     209,150    469,700    342,200

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2-a. Division West:

Sales                                        $660,800 (590,000 x 1.12)

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Fixed Costs                               224,000

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Explanation:

a) Data:

Income Statement

Sales                                    $ 1,645,000

Variable expenses                   623,950

Contribution margin               1,021,050

Fixed expenses                      1,123,000

Net operating income (loss) $ (101,950)

b) Windgate Company's segmented income statement has enabled the tracing of fixed costs to the three divisions and the calculation of net operating income for the three divisions.  Thus, revealing that Division East was not profitable.  From this information, management can decide to make some changes or altogether dispose of Division East in order to redeem the fortunes of the company.

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Answer:

a) equilibrium price to rise, fall, or stay the same and equilibrium quantity to rise.

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