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Korvikt [17]
3 years ago
11

"You plan on saving money for retirement in 30 years (t=30) at which time, you wish to have saved $1,000,000. In order to do thi

s, you plan on depositing $10,000 into the bank for 10 years starting next year (last $10,000 deposit at t=10). And then deposit $x every year after that until your retirement day (last deposit of $x at t=30). If the interest rate is 6% per annum, what is the $x you must deposit?"
Business
1 answer:
MissTica3 years ago
6 0

Answer:

<u>X= $15,692.9393</u>

Explanation:

Giving the following information:

Number of years= 30

Final value= 1,000,000

First, deposit $10000 for ten years (last deposit at t=10).

After ten years, you deposit X for 20 years until t=30.

i= 6%

First, we need to calculate the final value in t=10. We are going to use the following formula:

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

FV= {10000*[(1.06^10)-1]}/0.06= $131807.9494

We can calculate the amount of money to input every year. We need to isolate A:

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

First, we need to calculate the final value of the $131807.9494

FV= PV*[(1+i)^n]

FV= 131807.9494*1.06)^20= 422725.95

We need (1000000-4227725.95) $577274.05 to reache $1000000

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

A= (577274.05*0.06)/[(1.06^20)-1]= 15692.9393

<u>X= $15,692.9393</u>

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2 annual dividend on its common stock. The dividend is expected to increase at 6% per year indefinitely. If the required rate of
mixer [17]

Solution:

Given,

R= 16%

g= 8%

Calculate stock value ,

D_{1}=D_{0} x (1+g) ;

D1= 2.16

P0= ( 2.16/0.16 )-0.08

P0= $27

A value stock is a lower price protection exchange that can otherwise be implied by the performance of the company.

5 0
2 years ago
The adjusted trial balance for Chiara Company as of December 31 follows.
faust18 [17]

Answer and Explanation:

The preparations are presented below:

a. For income statement

<u>                                          Chiara Company</u>

<u>                                           Income statement</u>

<u>                                      For the year ended Dec 31</u>

Revenues

Fees earned                  $544,000

Interest earned              $30,000

Total revenues                                                              $574,000

Less: expenses

Depreciation expense - Automobiles   $26,000

Depreciation expense- Equipment       $20,000

Salaries expense                                    $187,000

Wages expense                                      $43,000

Interest expense                                    $32,200

Office supplies expense                        $34,200

Advertising expense                              $63,000

Repairs expense - Automobiles           $25,200

Total expenses                                                         ($430,600)

Net income                                                                $143,400

b. For a statement of retained earnings

<u>                                          Chiara Company</u>

<u>                                          Statement of retained earnings</u>

<u>                                            For the year ended Dec 31</u>

Beginning balance of retained earnings $257,220

Add: Net income                                        $143,400

Less: Dividend                                            -$45,000

Ending retained earnings balance              $355,620

c. For balance sheet

<u>                                          Chiara Company</u>

<u>                                        Balance sheet </u>

<u>                                        For the year ended Dec 31</u>

<u>Liabilities & equity            Amount                         Assets          Amount </u>

Liabilities & equity                                              Cash               $132,400

Accounts payable            $98,000          Accounts receivable $50,500

Interest payable               $20,000          Interest receivable $20,800

Salaries payable               $22,000         90 days notes receivable $171,000

Unearned fees                  $28,000         Office supplies              $16,500

Long-term notes payable $144,000       Automobiles 169,000

Common stock                  $26,580        Less:

Retained earnings             $355,620   Accumulated depreciation  

                                                               Automobiles $ 80,000         $89,000

Total liabilities & equity    $694,200  Equipment 140,000

                                                               Less:                                      

                                                               Accumulated depreciation

                                                                Equipment 23,000             $117,000

                                                                Land                                    $79,000

                                                                Total assets                        $694,200

3 0
3 years ago
Warm-Up
zloy xaker [14]

Answer:

$1,088.12

Explanation:

The formula for calculating monthly repayments is as below.

M=  P x   <u>  r      </u>

              1 − (1+r)−^n

where p is the loan amount = $220,000

r = 4.3per cent or 0.043 % interest rate per year,

 on monthly basis r will be 0.043/12=0.00358%

n = 30 year, which is 30 x 12 months= 360 months

M= $220,000 x <u> 0.00358    </u>

                         1 - (1+0.00358 ) ^ - 360

M=$220,000 x<u>  0.00358  </u>

                         1- 0.2762

M = $220,000 x (0.00358 /0.7238)

M = $220,000 x 0.0049461

M = 1,088.12

Monthly payments will be $1,088.12

4 0
3 years ago
Consider the following data for a closed economy:
notsponge [240]

Answer: The answer is given below

Explanation:

a. . Private saving

Private saving=Y+TR-C-T

= $11t + $1t - $8t - $3t

= $12 trillion - $11 trillion

= $1 trillion

b. Public saving

Public Saving= T-G-TR

Since G is not given, we can use:

I = public saving + private saving

$2t = public savings + $1t

Public saving= $2 trillion - $1 trillion

Public savings = $1 trillion

c. Goverment purchases

Since public savings = T - G - TR

$1t = $3t - G - $1t

G = $3t - $1t - $1t

G = $3 trillion - $2 trillion

G = $1 trillion

d. The goverment budget deficit or budget surplus.

There is a budget surplus of $1 trillion which has been calculated in the public savings.

4 0
3 years ago
1. Contrafic Corporation used the following data to evaluate its current operating system. The company sells items for $21 each
olga_2 [115]

Answer:

 $470,000 F

Explanation:

The computation of the static budget variance of operating income is shown below:

Particulars  Actual results         Static budget         Static budget variance Units sold        180,000 units        185,000  units

Revenues        $3,780,000            $4,440,000             $660,000 U

Variable costs  $1,080,000            $1,295,000              $215,000 F

Contribution margin  $2,700,000   $3,145,000             $445,000 F

Fixed costs         $800,000              $775,000              $25,000 U

Operating income   $1,900,000     $2,370,000            $470,000 F

Note:

Multiply the selling per unit with unit sold to get the revenue amount

6 0
3 years ago
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