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Katyanochek1 [597]
2 years ago
10

Kay owns two annuities that will each pay $500 a month for the next 12 years. One payment is received at the beginning of each m

onth while the other is received at the end of each month. At a discount rate of 7.25 percent, compounded monthly, what is the difference in the present values of these annuities
Business
1 answer:
tatiyna2 years ago
8 0

Answer:

The difference in the present values of these annuities is$290

Explanation:

Payment of fixed amount for a fixed period of time on a fixed rate of return is called annuity.

Immediate Payment of fixed amount for a fixed period of time on a fixed rate of return is called advanced annuity.

According to given data

P = monthly payment = $500 every month

r = interest rate = 7.25% per year = 7.25 / 12 = 0.6042% = 0.006042

n = number of period = 12 years x 12 month a year = 144 periods

First Annuity

PV of annuity = P x [ ( 1- ( 1 + r )^-n ) / r ]

PV of annuity = $500 x [ ( 1- ( 1 + 0.006042 )^-144 ) / 0.006042 ]

PV of annuity = $47,995

First Annuity

PV of annuity = P x [ ( 1- ( 1 + r )^-(n-1) ) / r ] + P

PV of annuity = $500 x [ ( 1- ( 1 + 0.006042 )^-(144-1) ) / 0.006042 ] + $500

PV of annuity = $500 x [ ( 1- ( 1 + 0.006042 )^-(143) ) / 0.006042 ] + $500

PV of annuity = $48,285

Difference  = $48,285 - $47,995 = $290

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Giving a retailer an incentive to sell your product/service is the responsibility of which of the marketing mix?
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Orlando Boom has been offered an internship at a local animal shelter for six weeks during the summer, four hours each week day.
Cerrena [4.2K]

Answer:

<u>False</u>

Explanation:

<em>There is no such thing</em> as community engagement graduation requirements. However there is internship as a requirement for college graduation.

Therefore , Orlando can use this internship to only fulfill his internship graduation requirements having learnt practical knowledge from the animal shelter for six weeks.

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2 years ago
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Company XYZ has the following sales budget for the last six months of 2018. July $100,000 August $75,000 September $100,000 Octo
sweet [91]

Answer: $67,250

Explanation:

Sales budget : July $100,000, August $75,000, September $100,000, October $70,000, November $110,000, December $94,000

What are the expected cash collections of sales in October

From the question, cash collection of sales has been as follows: 60% of sales collected in month of sales 20% of sales collected in month following sale 7% of sales collected in second month following sale 2% of sales uncollectible

Sales: 75,000 100,000 70,000

August. 45,000.

September 15,000 60000

October 5,250. 20,000 42,000

Total collected in October is 5250+20000+42,000= 67,250

7 0
2 years ago
Built-Tight is preparing its master budget for the quarter ended September 30. Budgeted sales and cash payments for product cost
Inessa05 [86]

Answer and Explanation:

The Preparation of cash budget for each of the months of July, August, and September is shown below:-

                                              Cash budget

                             For the month of July, August and September

                                             July           August          September

Beginning cash balance   $15,000      $15,000         $25,505

Cash receipts from

customer (Working note) $57,800      $67,200        $73,600

Total cash available         $72,800      $82,200       $99,105

Less:

Cash disbursements

Direct Materials                 $16,160         $13,440         $13,760

Sales commission             $6,400         $8,000          $4,800

(10% of sales)

Office salaries                   $4,000          $4,000          $4,000

Rent                                    $6,500         $6,500          $6,500

Direct Labor                       $4,040         $3,360           $3,440

Overhead Cost                 $20,200       $16,800         $17,200

Interest on bank loan    

For July (5,000 × 1%)             $50  

For August                                                  $46            

($5,000 - $4,550) × 1%))

For September                                                                  $0

Preliminary Cash

balance                                    $15,450    $30,055      $49,405

Repayment of loan to

Bank                                          $450        $4,550

                                                                ($5,000 - $450)

Ending cash balance              $15,000     $25,505     $49,405

Working Note

The ending balance of the particular month should be treated as a opening balance of next month

August ending balance will be forwarded in Sept as a opening balance.

Working Note

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Sales                            $64,000      $80,000            $48,000

Less:

Ending accounts

receivable

(80% of sales)            $51,200       $64,000             $38,400

Cash sales                 $12,800        $16,000              $9,600

Last month cash

collection                   $45,000         $51,200          $64,000

Cash receipts from

customer                    $57,800      $67,200        $73,600

Therefore we added the cash receipts as it increase the cash balance and deduct all cash payment as it decrease the cash balance

7 0
2 years ago
On January 1, 2018, the general ledger of Grand Finale Fireworks includes the following account balances:
daser333 [38]

Answer and Explanation:

The Journal entry is shown below:-

1. Cash Dr, $40,000

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         To Additional Paid in capital $38,000

(Being issue of common stock is recorded)

2. Accounts Receivable Dr, $19,500

          To Service revenue $19,500

(Being Service revenue is recorded)

3. Supplies Dr, $6,700

         To Accounts payable $6,700

(Being additional supplies on account is recorded)

4. Treasury stock Dr, $25,200

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(1,200 × $21)

(Being purchase of treasury stock is recorded)

5. Accounts payable Dr, $18,300

           To Cash $18,300

(Being accounts payable is recorded)

6. Cash Dr, $50,900

            To Service revenue $50,900

(Being service provided for cash is recorded)

7. Cash Dr, $18,400

              To Accounts Receivable $18,400

(Being cash is recorded)

8. Retained earnings Dr, $5,040

(18,000 - 1,200) × $0.30

              To Dividend payable $5,040

(Being dividend declared is recorded)

9. Cash Dr, $13,800

(600 × $23)

              To Treasury stock $12,600

               To Additional paid-in-capital  $1,200

(Being treasury stock is recorded)

10. Salaries expense Dr, $43,800

            To Cash $43,800

(Being Cash is recorded)

4 0
2 years ago
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