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kirill [66]
2 years ago
9

The $40 million lottery payment that you have just won actually pays $2 million per year for 20 years. The interest rate is 8%.

Business
1 answer:
Lyrx [107]2 years ago
5 0

Answer:

Explanation:

We will apply the annuity formula because payments are made equally at year end for 40 years. we would have applied compound formula if total payment was made at year 40.

Total Payment = $40 mill.

Annual Payment = 2 mill.

Total time for payments =20

Ir = 8%

A)

Present Value of innings applying annuity formula

P=R(1-(1+i)^-n)/i

P=2(1-(1+8%)^-20)/8%

P=2(1-0.2145)/8%

P=2*9.8181

P=19.6362

B)

Present Value of innings applying annuity formula with Advance payment

Value of the first payment is same because it is paid at day 1 so present value is same i.e $2 mill.

Present Value of other 19 Payments with 19 years time from today

Applying the same formula

P=R(1-(1+i)^-n)/i

P=2(1-(1+8%)^-19)/8%

P=2(1-0.2317)/8%

P=2*9.6035

P=19.207

Present value of 1st payment at Year.0 = 2 mill

Present value of 19 payment at Year.0 = 19.207

Total Value =2+19.207 = $21.02 mill

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Explanation:

Given:

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How many new office assistants will it need to hire as it plans to hire eighteen new architects = ?

Solution:

Let ratio of new office assistants = x

Ratio of two office assistants for every nine architects = 2:9

By using formula of ratio and proportion:

Ratio of two office assistants for every nine architects : :  ratio of new office assistants for eighteen new architects,

2 : 9 : : x : 18

\frac{2}{9}  = \frac{x}{18} \\

By cross multiplication,

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Dividing both side by 9,

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Answer:

See the explanation below:

Explanation:

a. Create an accounting equation and record the effects of each accounting event under the appropriate general ledger account headings.

Assets = Liabilities + Stockholders' Equity  ......... (1)

Cash is a component of Asset, therefore the transaction will affect assets or cash as follows:

Asset: +  $28,600,  - $13,200, - $1,500

Cash balance = Asset = $28,600  - $13,200 - $1,500 = $13,900

Retained Earnings  is a component of Stockholders' Equity , therefore the transaction will affect Stockholders' Equity  or Stockholders' Equity as follows:

Retained Earnings;   +  $28,600,  - $13,200, - $1,500

Retained Earnings = $28,600  - $13,200 - $1,500 = $13,900 = Stockholders' Equity

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Details                                  Amount ($)

Revenues                                 28,600

Expenses                                <u> (13,200)  </u>

Profit                                          15,400

Dividend                                  <u>  (1,500)  </u>

Retained earning                   <u>  13,900  </u>

2. Statement of changes in stockholders' equity

Details                                         Amount ($)

Common stock                                   0

Retained b/f                                        0        

Retained earning for the year      <u>  13,900  </u>

Stockholders' equity                     <u>  13,900  </u>

3. Balance sheet.

Details                                         Amount ($)

Assets

Cash                                                  13,900

Other assets                                    <u>     0     </u>

                                                        <u>  13,900  </u>

Stockholders' equity

Common stock                                     0

Retained earning                            <u>  13,900  </u>

                                                        <u>  13,900  </u>

c. Explain why the income statement uses different terminology to date the income statement than is used to date the balance sheet.

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