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Fudgin [204]
3 years ago
13

Mark Ventura has just purchased an annuity to begin payment two years from today. The annuity is for $8,000 per year and is desi

gned to last 10 years. If the interest rate for this problem calculation is 13 percent, what is the most he should have paid for the annuity?
Business
1 answer:
Bess [88]3 years ago
7 0

Answer:

  • <u>$38,415.88</u>

Explanation:

<u>1. Calculate the value of the annuity one year from now.</u>

The following equation is used to calculate the present value of an annuity that starts payments one year from now:

      PV=C\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]

Where:

  • PV is the present value
  • C is the constant annuity: $8,000
  • r is the interest rate: 13% = 0.13
  • t is the number of years: 10

Substitute and compute:

        PV=\$8,000\times \bigg[\dfrac{1}{0.13}-\dfrac{1}{0.13(1+0.13)^{10}}\bigg]

        PV=\$43,409.95

Notice that, since the annuity will begin the payment two years from today, that value is the value in a year. Then, to find the value today you must discount the calculated value one year, at the same rate.

<u>2. Value today</u>

      V_{today}=\dfrac{PV}{(1+r)}=\dfrac{\$43,409.95}{1.13}=\$38,415.88

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Suppose portable radios can be imported at a world price of $10 per radio. If trade were unencumbered, what would the new market
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Answer:

Domestic demand: Q = 5,000 – 100P; Supply: Q = 150P

At equilibrium, demand equals supply.

5,000 – 100P = 150P

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P = 5,000/250

Equilibrium price (P) = $20

Substituting P in demand equation:

Q = 5,000 – (100*20)

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3 years ago
g The Village of Lake George decided to establish an internal service fund to account for the operations of a Print Shop. The Pr
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Answer:

Check the explanation

Explanation:

 General Journal    

     

Ref.  Account Title & explanation          Debit              Credit

a)                Cash                               $1,200,000    

                      Contribution                                             $400,000

                  Long term liability                                    $800,000

            (To record receipt of fund )      

b)              Equipment                        $890,000    

                             Cash                                             $890,000

              (To record purchase of equipment)      

c)                Supplies                              $120,000    

                      Accounts payable                               $30,000

                             Cash                                               $90,000

           (To record purchase of supplies)      

d)                  Cash                                   $350,000

                     Accounts receivable                  $50,000    

                             Sales                                             $400,000

                  (To record sales )      

e)        Supplies expenses                     $73,000    

                             Supplies                                               $73,000

              (To record supllies expenses)      

f)         Salaries and wages expenses      $19,000    

                                 Cash                                                $19,000

          (To record salaries and wages expenses)    

 Utilities expenses                                              $3,000    

 Cash                                                                                $3,000    

 (To record utilities expenses)      

g)  Depreciation expenses                        $80,000    

 Accumulated depreciation-Equipment                          $80,000

     (To record depreciation expenses)      

h)  Long term liability                               $200,000    

                    Cash                                                    $200,000    

 (To record payment of instalment of advance)    

     

Ref.  CASH ACCOUNT  Debit  Credit    

a)  Contribution  $400,000    

a)  Long term liabilities  $800,000    

b)  Equipment   $890,000    

c)  Supplies   $90,000    

d)  Sales  $350,000    

f)  Salaries & wages expenses   $19,000    

f)  Utilities expenses   $3,000    

h)  Long term liabilities   $200,000    

 Balance   $348,000    

 TOTAL  $1,550,000  $1,550,000    

 Closing balance brought forward  $348,000    

     

 TRIAL BALANCE      

 Account  Debit  Credit    

 Cash  $348,000    

 Contribution   $400,000    

 Long term liabilities   $600,000    

 Equipment  $890,000    

 Supples  $        47,000   (120000-73000)  

 Accounts payable   $30,000    

 Accounts receivable  $50,000    

 Sales   $400,000    

 Supplies expenses  $73,000    

 Salaries and wages expenses  $19,000    

 Utilities expenses  $3,000    

 Depreciation expenses  $80,000    

 Accumulated depreciation-equipment   $80,000    

 TOTAL  $1,510,000  $1,510,000    

     

 INCOME STATEMENT      

 Contribution   $400,000    

 Sales   $400,000    

 Total income   $800,000    

 Expenses:      

 Supplies expenses  $73,000    

 Salaries and wages expenses  $19,000    

 Utilities expenses  $3,000    

 Depreciation expenses  $80,000    

 Total expenses   $175,000    

 Net Income   $625,000    

     

 BALANCE SHEET      

 ASSETS:      

 Cash  $348,000    

 Supples  $        47,000    

 Accounts receivable  $50,000    

 Equipment  $890,000    

 Accumulated depreciation  ($80,000)    

 Total assets  $1,255,000    

 Liabilities:      

 Accounts payable  $30,000    

 Long term liabilities  $600,000    

 Net assets  $625,000    

 Total Liabilities & net assets  $1,255,000  

3 0
3 years ago
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Answer:

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Explanation:

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Answer:

The statement is false

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