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Effectus [21]
2 years ago
14

You want to have $3 million in real dollars in an account when you retire in 40 years. The nominal return on your investment is

10 percent and the inflation rate is 4.8 percent. What real amount must you deposit each year to achieve your goal
Business
1 answer:
VMariaS [17]2 years ago
6 0

Answer:

Annual deposit= $23,647.9

Explanation:

Giving the following information:

Future value (FV)= 3,000,000

Numer of periods (n)= 40 years

Nominal rate= 10%

Inflation rate= 4.8%

<u>To simplify calculations, we will calculate the real interest rate by deducting from the nominal interest rate the inflation rate:</u>

Real interest rate= 0.1 - 0.048

Real interest rate= 0.052

<u>Now, to calculate the annual deposit, we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (3,000,000*0.052) / [(1.052^40) - 1]

A= $23,647.9

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5 0
3 years ago
Read 2 more answers
Alex and Bess have been in partnership for many years. The partners, who share profits and losses on a 70:30 basis, respectively
Usimov [2.4K]

Answer:

Alex and Bess Partnership

Part A: Step-by-step Distribution:

                                  Cash     Noncash assets  Liabilities      Alex       Bess

December 31            $48,000    $135,000      $36,000   $94,500  $52,500

Safe cash

distribution              (26,400)                 0                   0      (18,480)    (7,920)

1st Liabilities              (21,600)                 0         (21,600)              0              0

Sale of noncash       147,000      (135,000)                            8,400      3,600    

Safe cash distrib.   (100,000)                                              (70,000) (30,000)

Final liabilities          (14,400)                  0         (14,400)               0             0

Liquidation expense (4,100)                  0                             (2,870)    (1,230)

Final distribution    (28,500)                  0                            (11,550) (16,950)

Part B: Final Statement of Partnership Liquidation:

                                   Cash     Noncash assets  Liabilities      Alex       Bess

December 31             $48,000   $135,000      $36,000   $94,500  $52,500

Sale of noncash         147,000     (135,000)                           8,400       3,600

Payment of liabilities (36,000)                         (36,000)

Liquidation expenses  (4,100)                  0                          (2,870)      (1,230)

Distribution             (154,900)                   0                0   (100,030)   (54,870)

Explanation:

a) Data and Calculations:

Profits and losses sharing ratio = 70:30

Estimated liquidation expenses = $5,500

Balance Sheet at Liquidation Date:

Cash                      $48,000     Liabilities                               $36,000

Noncash assets     135,000     Alex, capital                            94,500

                                                 Bess, capital                           52,500

Total assets           183,000     Total liabilities and capital $ 183,000

3 0
2 years ago
By definition, _____________ is the activity, set of institutions, and processes for creating, communicating, delivering and exc
ANTONII [103]

Answer:

The correct answer is E

Explanation:

Marketing is the procedure or the process of interesting the potential customers or consumers as well as the clients in products or services. In short, it is the procedure which involves distributing, promoting, selling and researching the services or the products.

Therefore, the marketing is the set of institutions, activity and the processes for communicating, delivering and creating that value for the clients, society and customers at huge.

4 0
3 years ago
Crispy Fried Chicken bought equipment on January 2​, 2016​, for $ 18 comma 000. The equipment was expected to remain in service
qaws [65]

Answer:

Please check the attached image for the depreciation schedule

2. Units of production method

Explanation:

Book value in year 1 = Cost of asset - Depreciation expense of year 1

Book value in year in subsequent years = previous book value - that year's depreciation expense

Accumulated depreciation is sum of deprecation expense

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

($18,000 - $3,000) / 4 = $3,750

Depreciation expense each year of the useful life is $3,750

Depreciation expense using the double declining method = Depreciation factor x cost of the asset

Deprecation factor = 2 x (1/useful life) = 0.5

Depreciation expense in year 1 = 0.5 x $18,000 = $9,000

Book value = $18,000 - $9,000 = $9,000

Depreciation expense in year 2 = 0.5 × $9,000 = $4,500

Book value = $9,000 - $4,500 = $4,500

Depreciation expense in year 3 = 0.5 x $4,500 = $2250

Book value = $4,500 - $2250 = $2250

Depreciation expense in year 4 = 0.5 × $2250 = $1125

Depreciation expense using the unit of production method =( Total production in the year/ total productive capacity) × (cost of asset - Salvage value)

Depreciation expense in year 1 = ($18,000 - $3,000) x (300 / 3000) = $1,500

Depreciation expense in year 2 =18,000 - $3,000) x (900 / 3000) = $4,500

Depreciation expense in year 3 = (18,000 - $3,000) x (1200 / 3000) = $6,000

Depreciation expense in year 3 = (18,000 - $3,000) x (600 / 3000) = $3,000

The Units of production method tracks wear and tear accurately because deprecation depends on the production each year.

I hope my answer helps you

6 0
3 years ago
The controller of Crane Industries has collected the following monthly expense data for use in analyzing the cost behavior of ma
Anna [14]

Answer:

Variable cost per unit= $6.6 per unit

Explanation:

Giving the following information:

January: $2,880 330

February: $3,180 380

March: $3,780 530

April: $4,680 660

May: $3,380 530

June: $5,520 730

To calculate the unitary variable cost, we need to use the following formula:

Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)

Variable cost per unit= (5,520 - 2,880) / (730 - 330)= $6.6 per unit

4 0
2 years ago
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